diff --git "a/data/dm_maths/full_data/11105_11255.jsonl" "b/data/dm_maths/full_data/11105_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11105_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a = 3 - 5. Let c be 24\/(-12) + (0 - -2). Let r(b) = c*b - b + 1 + 0*b**2 + 2*b + 2*b**2. Calculate r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101101111 - 1001010001?\nAnswer: 10101100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18, -5, -742\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3)\/((-30)\/(-40))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 5. Let r(w) = -w + 2. Determine -4*a(v) + 9*r(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 1647*w - 1645*w - 23 - 11, -5*w + 5 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*(-2)\/(-4))\/((-45)\/(-36)). Let m(o) be the third derivative of 1\/36*o**5 + 1\/48*o**4 + 1\/240*o**6 + 0*o**3 + 0 + 0*o + 17*o**x. Solve m(f) = 0 for f.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(279\/162)*2\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1489*j**2 + 0.\nAnswer: -1489*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(3\/9*-2). Suppose -5*y - 2*d + 176 = 0, 2*y + 7 - c = -5*d. Calculate the remainder when y is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)*q**(-3)\/q)**(-31) assuming q is positive.\nAnswer: q**(775\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46743 + -252?\nAnswer: -47215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 4. Let r be a\/3*3\/(-2). Is 9 a factor of (-5 + (r - -1))*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68\/325 at most -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yplwx. What is prob of picking 1 y, 1 p, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7495746, 7495726, 7495706?\nAnswer: 7495686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/20 - 5*i**4\/12 + 2*i**3\/3 - 3*i**2\/2 - 2*i. Let n be m(4). Let u be n\/((-36)\/(-15) + -3). Which is bigger: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 47*p**2 + 455*p + 827. Give g(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14610529 + -35\nAnswer: 14610494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19) + -2 + -3 - (5 + sqrt(931)*1))**2.\nAnswer: 60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 400. Suppose 5*u - j + 0 = 0. Let l = -9 + u. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500572040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.06 - 3. Let w = -21 - -21.24. Let r = w + q. What is the biggest value in -0.1, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**4\/4 + 2*x**3 + 2*x**2 - 6*x + 10. Let f be l(-4). What is the greatest common divisor of f and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzkzzzzzzzz.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express l - l + l + (-6 + 2 + 3)*(-l + 4*l - l) + 3*l - 5*l + 3*l - 4*l + 0*l + 2*l + 643 - 1243 - 35*l + 631 as n + h*l and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {u: 2, y: 2, k: 4, l: 1, m: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21086835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7968.996 - 7969. Which is the biggest value? (a) -2\/19 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -10)*6\/(-4). Let c = z + -21. Is c < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phshsphhssp. Give prob of sequence sph.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.21 in descending order.\nAnswer: 0.21, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 565 = l + 551, -7*l + l - 52 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 24. What is the tens digit of ((-48)\/(-9))\/((-4)\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (156\/780)\/(((-1)\/5)\/(1\/(-9))). Put 0, -4, j, 5\/3, -0.8 in descending order.\nAnswer: 5\/3, j, 0, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1439, -1604, -1793, -2018, -2291?\n\"Answer: -2*o**3 - 151*o - 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -1. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 12*f - 7. Let q be l(-13). Find the first derivative of -q*y**3 + 4*y**3 - 2 - 1 wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*l + 8*k, -l + 2*k + 483 = 486 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*48\/(-72)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 40, 66, 92, 112, 120, 110?\n\"Answer: -b**3 + 9*b**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 + 9*n - 31. What is the remainder when 61 is divided by w(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693347013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2. Suppose 5*f - 13*w + 12 = -11*w, w - 6 = 5*f. Let c(v) be the first derivative of 0*v**2 + f*v - 1\/3*v**3 + 13. Determine q(c(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -2) + -47)*(8\/80 + 360\/400)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/2))\/(z\/(z\/(z**(-5\/8)*z))))\/(z**7*z\/(z*z*z**5)*z))**(-7\/3) assuming z is positive.\nAnswer: z**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13091*i - 9910*i - 1886082 = 0 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 + 0 = 0. Suppose x = p*x - 4. Factor -s + s + 2*s**x + 0*s - 2*s**3.\nAnswer: -2*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(22)*2)\/((1*sqrt(16))\/sqrt(8)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t - 3*y + 860, -1291 = -3*t - 4*y. Let i = 452 - t. Solve 2*w - j - 9 = 0, 5*w = w + 3*j + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-147)\/56 - (-1 + (-11)\/(-8)). Let v(b) = b**3 + b**2 - 6*b + 3. Let l be v(d). Solve n = l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111916 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7*p = 4, -p + 40 - 24 = -5*i. Let k = 107\/21 + -38\/7. Which is the third biggest value? (a) k (b) -8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 + m. Let c(u) = -4*u**3 + 7*u**2 - 26*u - 20. Let r(n) = n**2 + 12*n - 5. Let x be r(-12). Let p(j) = x*h(j) - c(j). Is p(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 110*d**4 + 485*d**3 - 1320*d**2 + 720*d.\nAnswer: 5*d*(d - 1)**2*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 15 = 3*n - 5*u, 4*n = u + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 87*d + 82. Let n be l(-30). Sort n, 0, -6, 3 in descending order.\nAnswer: 3, 0, -6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5810 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllluu. Give prob of picking 2 l.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -0.21.\nAnswer: -25.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**3 - 7*c - 4. Let z(l) = 4*l**3 - 4*l - 2. Suppose 0 = -8*u - 24. Give u*o(v) + 5*z(v).\nAnswer: -4*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 - 9*a**2 - 7*a**3 - 2*a - a + a to o + s*a**2 + w*a + h*a**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*r = 11, 0*r + 28 = 4*k - 4*r. What is the lowest common multiple of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 9. Let n be 20\/p*(-54)\/15. Suppose n*y = 23976 + 5046. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(32))*-2 + 1 + sqrt(288)*1*6).\nAnswer: 5 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -18*l + 20*l. Sort 171, 1, l.\nAnswer: l, 1, 171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/26, 1\/4, 8, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-185)\/148 + 2 + -1. Which is the closest to 0? (a) m (b) 82 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1 (c) 5 (d) 519 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 11 = s, -4*s + 3*v = 2*v - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**9\/3780 - 7*t**5\/120 - t**4\/2 + 6*t. Let o(w) be the third derivative of r(w). Differentiate o(a) wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 p, and 1 k when four letters picked without replacement from {r: 2, k: 4, z: 2, u: 4, p: 1, s: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 + n - 89 + 194 + 21*n**2 as a + m*n**2 + k*n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m + 218. Let s(g) = 311*g**2. What is j(s(n))?\nAnswer: -96721*n**4 + 311*n**2 + 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 1745, 2750, 3755?\nAnswer: 4760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 divided by 93?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*203\/(-56)*(-32)\/2. Find the third derivative of 116 - 41*n**2 - a - 6*n**4 wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827, -2594, -5615, -9884, -15395?\nAnswer: -22142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -221859 divided by -11\nAnswer: 20169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430 divided by 5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-476)\/(-10))\/1*(42 + -47). Let q = r + 385. Let y = -21 + 42. Calculate the highest common factor of y and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 3719, -1, -2\/9, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) -0.14 (d) -0.0094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2. Let b(a) = -680461*a**2. Calculate m(b(p)).\nAnswer: -2315135862605*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, 917, 12, 4 in decreasing order.\nAnswer: 917, 12, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 55 + 125. Suppose 0*i - 8 = -u + 4*i, 4*u - 2*i = 18. Let j be 1\/(u\/m*-3). Solve -6 = k - j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 68 + 355 = -28*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3551 and 9983.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -876 by -876.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(108) + sqrt(108) + -3 + sqrt(108))**2 + ((sqrt(300) - (sqrt(300) - (sqrt(300) + -3)))**2 + sqrt(300) - sqrt(300)) + 0.\nAnswer: -168*sqrt(3) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-9) - -3 - 2)*102. Let g = f - -74. Solve -2*z + 0*z + g = -o, 5*o + 6 = -2*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -4*t, 2*v + 0*t = 2*t + 10. Suppose 4*m - 91 = -o, v = -2*m + 5*o + 15 + 14. Calculate the remainder when 108 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 40. Let s be b(-12). Let r = s + 123. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 304*a**2 - 2*a - 2. Let s be k(-1). Let q = -204 + s. Suppose y = -4*y + q. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1\/48, 1\/4, 0.4, -3?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 46*s**2 - 3*s - 77. Let a be w(-23). What is the biggest value in 2\/7, 0.096, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133240193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 4622*t + 3*t**2 + 3969*t - 6242*t - t**2.\nAnswer: 3*t**2 - 6895*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61011 - 61014.9547. What is t rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14))\/(240*75\/(-2100)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 40*b + b**2 - 18*b - 39*b.\nAnswer: b**2 - 88*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10143 + 10144. What is the smallest value in t, 1\/59, 2\/5?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 + p - 4. Let d be x(-3). Let t(v) = -d*v**2 + 5*v**3 + 9*v**2 - 3 - 3*v**2. Let j(k) = 6*k**3 + 5*k**2 - 3. Give -4*j(s) + 5*t(s).\nAnswer: s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337709.19 - 93250?\nAnswer: 1244459.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/33 and -59\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2, 4*b - 174 = 5*f + 165. Let m = -8 - f. Let s = m - 50. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/30 + 2*i**4\/3 + 35*i**3\/9 + 8*i**2 + 838*i. Factor z(f).\nAnswer: 2*(f + 1)*(f + 3)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose 3*h - z*o - 9 = 0, h - 2*o = -0*h. Find the second derivative of -k + 0*k + 18*k + h*k + k**3 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/120 + y**5\/20 + 5*y**4\/24 - y**3\/6 + 7*y**2. Let l be o(4). Differentiate 33*i**3 - 22 + 0 + 34*i**l - 54*i**3 wrt i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15) + 17\/5. Let w = -5 + f. Let t be (2\/(14 - 0))\/(-1). Which is the nearest to 3\/2? (a) t (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 166*f + 0*f + 4*f**3 - 3*f**3 - 30*f**2 - 392 - 51*f + 137*f.\nAnswer: (f - 14)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -30*x**2 + 45*x - 45. Let a(m) = -m**2 + m - 1. Determine -225*a(u) + 5*c(u).\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1435 - 835. Let d be a\/((12\/(-1602))\/((-200)\/(-18))). What is d rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81537 - -157055. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*c - 48*c - 488 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 30636*n + 30634*n = 58, 4*a - 2*n = 58 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-12 - (9 - 11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6 - 19*x**2 + 18*x**2 + 2*x**6 wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2213\/2 + 1074. Find the common denominator of (10\/21)\/(2\/(-33)) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:56 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-1774580)\/116368)\/(-1). Let n = 2\/7273 - p. Find the common denominator of n and (2\/6)\/((-8)\/(-438)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 49\/45, 59, 0.4?\nAnswer: 49\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) 13 (b) -117 (c) 4 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/253, -2\/7, 4, 0.616?\nAnswer: 5\/253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llc. What is prob of sequence cl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) -1 (c) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72 - -116383\nAnswer: 116311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*t + 10*t - j + 682, -j = 3*t - 20 + 7 - 11 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11451\/8 - -1431. Which is the closest to -2\/3? (a) 2.1 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.8009s in hours?\nAnswer: 0.16800025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 173*w**2 + 1875*w - 332. Determine u(74).\nAnswer: 1518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 176 = -3*m. Let w be ((-9)\/6)\/((-2)\/4). Suppose -5*u + 34 = w*n, -2*n = -5*u + 3*n + 50. Calculate the lowest common multiple of m and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 27*x**3 - 2*x**3 + 0 wrt x.\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 14. What is the smallest common multiple of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h + 3*w, -4*h + 0 = 3*w - 3. What is the first derivative of 418*s + 7 - 418*s - h*s**3 wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290440*s**3 + 477136*s**2 wrt s.\nAnswer: -1742640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -9913?\nAnswer: 9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70352 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -0.2. Let p = -36 + 38. Suppose 14 = -2*n - 3*f, 20 = -3*n - 2*f - p*f. Sort 0, s, n in decreasing order.\nAnswer: s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 24*t**2\/5 - 22*t\/5 + 12\/5.\nAnswer: 2*(t - 3)*(t + 1)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.043 - 0.051. Let y = s - 0.992. Suppose -2 = -2*x - 0*x. Is y bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(2)*-1 + -2 + 4))**2.\nAnswer: -36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -209 - -211. Let o(m) = -1 - 215*m**w + 440*m**2 - 216*m**2. Let c(x) be the first derivative of x**3\/3 + 1. Calculate c(o(n)).\nAnswer: 81*n**4 - 18*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2. Suppose -21*r = -9*r - 31 + 7. Let c(f) be the second derivative of 0 + 22*f - 1\/3*f**3 + 0*f**r. Give h(c(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1684)\/6*((-1270)\/316 + 4). Let z = u + 1\/237. Determine h so that -8\/3 - 12*h - z*h**2 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670806 and 372670?\nAnswer: 3354030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = -27*v + 12*r + 5*r, 0 = 5*v + 4*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25657?\nAnswer: 25657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**6\/3 + m**5\/4 - m**4\/6 + 12*m. Find the third derivative of i(u) wrt u.\nAnswer: 240*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2*((-11120)\/(-160) - 69)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/9549 and -32\/599465?\nAnswer: 5395185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60760 = -5151*i + 4066*i for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4*d - 9, 21*d - 453 = 3*g - 28*d - 99*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 447067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56019727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51\/9 - (-4 + (-63)\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + sqrt(13)*1 + (sqrt(637) + sqrt(637) + -2)**2.\nAnswer: -54*sqrt(13) + 2553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22123.4857 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-488550)\/(-6514) - 11923\/159.\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 4)*(-t**3 + t**3 + 15*t**3) - 5 + 5 + 2*t**3 + (7*t**2 - 2*t**2 - 2*t**2)*(0*t - 3*t + 2*t) + 3*t - 3*t**3 - 3*t.\nAnswer: 101*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 3. Suppose 2*g + 0*g + 16 = 0. What is p(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q. Let x(n) = -4*n**2 + 11*n + 3. Let p(l) = -5*v(l) + x(l). Suppose o - b + 8 = 0, -3*o - 13 = 5*b - 5. Give p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 + 351*o - 20*o**2 + 39*o**2 + 434*o.\nAnswer: 2*o**2 + 785*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z - 6. Let x be t(-4). Let i be 8\/x + 2\/(-6). Sort i, 9, -1 in decreasing order.\nAnswer: 9, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 30*s**2 + 127*s + 88. Let y be w(-25). Solve y*n = -4 - 72 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63682 is divided by 213.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.075651 centuries to decades.\nAnswer: 40.75651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02886 and -3.\nAnswer: -3.02886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*m + 1025 = -1660 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/3 + 26*r**4\/3 + 748*r**3\/3 + 1596*r**2 + 4050*r + 3654 = 0?\nAnswer: -7, -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-39)\/6*17\/(-3451) and -45\/7?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 179 - 594 = -5*f, 0 = -f - 6. Calculate the highest common divisor of 356 and p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 - 2. Let v be 0 + (1 - (-15)\/(-9)). Let l = -7 - -3. What is the closest to a in v, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 5*w**2 + 9 - 3 + 0*w + 6*w. Give n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270820900 is divided by 871?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 435, 847, 1389, 2061, 2863, 3795?\nAnswer: 4857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v - 44. Let j = -10 + v. Let z be 2\/(-4) + 1\/4. Is j less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 divided by 4\nAnswer: 251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 6*a - 1127. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from lallalwllalllll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = k - 7, -4*l + 32 = -4*k. Suppose -4*d = -z + 279984, l*z + d + d = 840008. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(b - 2*b + 0*b + 0*b + b + b + (2 - 4 + 4)*(2*b + b - 5*b) + 4*b + b - 6*b - b + 0*b + 2*b - 2 - 3*b + 2).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -115. Suppose -136 = p*i - 24*i. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0 + 6 - 3 + 45*j. Let b be w(3). Suppose -4*h + b = 5*g - 41, 5*h = -2*g + 228. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2401) + sqrt(2401))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 258374 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -12)\/2*1. Let d(v) = 7*v**3 - 7*v - 1. Let u(j) = 3*j**3 - 3*j. Let m = 10 + -8. What is m*d(x) + n*u(x)?\nAnswer: -x**3 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 - 7*x**4\/24 - 2*x**3\/3 + 4*x**2. Let g be u(-7). Let k(i) = i + 1. Let f be k(4). Put 2, f, g in decreasing order.\nAnswer: f, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302497?\nAnswer: 7, 186071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160328.91 months in centuries?\nAnswer: 133.607425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c + r - 5 = 0, -11 = 3*c - 4*r. Let f be 16\/3 - (-3)\/c. Find the third derivative of g**5 + 2*g**5 + g**5 - 5*g**f - g**2 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(38\/(-12)))\/(13832\/(-591318))?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1893303 = -6*a + 1822523 + 3088780. What is a rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/9, 0, 0.84, -110, -2\/3.\nAnswer: -110, -4, -2\/3, 0, 2\/9, 0.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 485060 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 minutes before 1:23 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 - 1221000?\nAnswer: -1210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - 6 - -72 - (-17 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935271 divided by 15?\nAnswer: 4935271\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 546413 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001001 (base 2) to base 12.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 393146391*s**6 + 11*s**2 + 116503*s - 8?\nAnswer: 47177566920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*f = -1017, -1353 = k + 3*k + 3*f. What is the tens digit of k\/(-33) - (-2)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*z + 913*z + 11 - 2*z**2 - 284*z - 11 to the form d*z + b + g*z**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164321 (base 13) in base 10?\nAnswer: 551981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 5) to base 13\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 581 + -584. What is the third smallest value in 15, -0.3, r?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-2)*(-560)\/(-196). Let q be (1 - (0 - 1))*5\/g. Let f be (12\/10)\/((-333)\/(-30)). Is f at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172434 (base 8) in base 10?\nAnswer: -62748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3 - 30\/(-9)). Solve 14 = 2*o + 4*p, 4*o + u = -p + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l + 2*h, -4*h + 2 + 18 = 0. Let u be -4 - 1 - (-33)\/l. Let g = 11 - 6. Which is the nearest to 0.3? (a) g (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 117031*q - 3042975.\nAnswer: (q - 26)*(q + 468150)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + 1 + (sqrt(2736) - (sqrt(2736) + 3 + sqrt(2736)*-1 - sqrt(2736))))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4454 - -4454. Put k, -1.32, -8 in decreasing order.\nAnswer: k, -1.32, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 51390.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9969?\nAnswer: 3, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2cc07 - 0?\nAnswer: -2cc07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*h - 8 = -h, -a - 3*h = -7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16417.54464 rounded to zero decimal places?\nAnswer: 16418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/3, 2\/9, -1\/3, 1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12521759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 961, 958, 953, 946, 937, 926?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 1, 13, -4, 3, 223 in descending order.\nAnswer: 223, 13, 11, 5, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose 5 = u*c - 19. Is 11 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 5, -5, 0 in descending order.\nAnswer: 5, 0, -5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + 4. Let b(o) = o**2 + 3*o + 3. Let k(v) = v**3 + 5*v**2 + 5*v + 1. Let u be k(-4). What is u*h(s) + 4*b(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155135 or -155136?\nAnswer: -155135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/2 - 34. What is the nearest to 0 in 5, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15514 divided by 23.\nAnswer: 15514\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 4:58 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1397\/5 + 279. Let w = 0.02 - 0.32. Which is the nearest to j? (a) -2\/3 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27122 is divided by 5418.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.018 * -0.025546.\nAnswer: -0.000459828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73384 + 73384. Let y be (-4)\/(-10) + (-81)\/15. What is the second biggest value in y, m, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i - 30. What is g(-8)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 - 1695190*z**2 - 3390365*z - 1695180 = 0. Calculate z.\nAnswer: -339036, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3*n**2 + 5*n - 2. Let t(y) = -2*y**3 - 8*y**2 - 14*y + 5. Suppose 4*l + 26 = 6. Let v be 6\/(-1)*l\/(-10). Calculate v*t(c) - 8*w(c).\nAnswer: -2*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113112 (base 4) to base 7.\nAnswer: -4233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2471290 is divided by 1875?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*g**6 + 7*g**3 + 9*g**2 - 10 wrt g?\nAnswer: -1920*g**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227079733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2849.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose j + 0 = z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 7*t - 2*t + 4*t**2 - 4 + 0*t. Is 3 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 15 = -3. Suppose 5*m + 7 = 2*m + 2*w, -g*w = 2*m - 17. Suppose -3*q - 7 = -m. Let i(y) = -3*y**2 - y. Give i(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 13*u**2 + 32*u + 29. Let m be r(-10). Suppose -m*a - 21 = -6*a - 4*i, 9 = 3*i. Put a, 6, -7 in ascending order.\nAnswer: -7, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289792339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 4, 2*m - 5*y + 13 + 0 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33749301 to the nearest integer?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 597183.6cm in millimeters?\nAnswer: 5971836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/198)\/(3\/(18\/10)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-60)*12\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 17432921.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n - 28 - 26 - 132 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*g - 95*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5379 = 49*i + 5330 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24731, -24122, -23499, -22856, -22187, -21486?\nAnswer: -20747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-359 - -361) + 22 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-4)*(-24)\/60. Let b be (1 - 0)\/(1\/y). Suppose -b*f - 900 = -8*f. Calculate the greatest common factor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -631*j**4 - 65*j**2 + 6?\nAnswer: -15144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmkmmmmmm. What is prob of picking 4 m?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:20 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (18 + -2 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -866 - -1331.8. Let h = k + -495.813. Let d = h - -30. What is d rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 0.4 (c) -5\/6 (d) 36 (e) -7 (f) -3 (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 819, 817, 813, 807, 799, 789?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + f + 2. Let d be q(2). Suppose 0 = -4*s + d + 8. Suppose -61 - 9 = -s*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -55. What is the closest to w in -2\/3, -12, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 16. Let c(i) = -9*i**3 - g*i**2 - 2 + 0 + 4*i**2 + 3*i**2. Let t = -9 + 20. Let h(a) = -5*a**3 + 2*a**2 - 1. Give t*h(u) - 6*c(u).\nAnswer: -u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41588 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 1. Let o(h) = 13*h**2 - 13*h - 17. Let t(r) = 26*r**2 - 28*r - 38. Let j(i) = 5*o(i) - 2*t(i). Determine -4*j(k) + 36*p(k).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*t = 25, -10*z + 14*z - 5*t + 13 = 0. Let o = -6.9 - -1.6. Let c = -5 - o. What is the second biggest value in 4, 3\/5, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1778 = 2462. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 321*i - 9*i**2 + 10*i**2 - 11*i**3 + 9*i**3 to the form d*i**2 + u + q*i**3 + n*i and give n.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1147865 and 5050?\nAnswer: 11478650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2364 - -25957\/11. What is the common denominator of -9 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 349*y - 3482. Let g be l(10). Solve 20*z = -g*z + 140 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10326*c**3*u - 3*c**2*u + c + 452*u + 2 wrt c.\nAnswer: 61956*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 966\/8 - 1\/1 - 2\/(-8). Calculate the highest common factor of a and 1605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_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: Convert 1188.503t to grams.\nAnswer: 1188503000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, k: 11}. What is prob of picking 2 k and 1 b?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3885682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 0 + 546\/140 and -6\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1524 and -37\/3168.\nAnswer: 402336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -113011030?\nAnswer: 113010331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 12*u - 2*w - 24, w + 24 = 5*u. Let c be (7\/(-252))\/(u\/(-32)). Let f = 1041\/10 - 104. What is the nearest to f in c, 3, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k. Let y(f) = f**2 - 21*f - 1. What is -2*y(w) - 9*z(w)?\nAnswer: -2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*b**3 - 1171573*b**2 - 1171248*b**2 + 2342821*b**2.\nAnswer: 64*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 182*b**2 + 23*b + 6. Let v be w(4). Suppose -22*r = -15*r - v. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*w**3 - 2*g**3 - 286*g**2*w**4 - 14*g*w**2 - 12*g*w wrt w?\nAnswer: 12*g**3 - 6864*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -9*c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70, -13, -150, -341?\n\"Answer: -27*b**2 - 2*b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4683*17\/(-4998) + 432\/(-126)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -504 (base 7) to base 13\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 541 = 2*z - 380, 0 = 4*q - 5*z - 617. Solve 212 = -23*f + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 9*o**2 - 6*o + 3. Let t be k(5). Suppose t = u - 4*n, 5*u - 416 = 4*n - 35. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3230\/7 (b) 2267 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uumyymymmuuymmurmr. Give prob of picking 1 y and 1 m.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = -6*t + 2*t, 27 = 3*f + 4*t. Suppose -f*w + 159 = -126. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**5 - 6*t**4 - 125*t**2.\nAnswer: 300*t**2 - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8*y + 23632. What is d(150)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 140453020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 52324 + -1.113\nAnswer: 52322.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = -96. Suppose -p - 5 = x, 0*x - 10 = x + 2*p. Suppose -4*h - h + 12 = -2*l, x = -4*h - 4*l + v. Solve 0 = 5*g - h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 0.25 (b) 1\/2 (c) -3\/4 (d) -2\/863\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -633 + 635. Let d = -740.93 - -745. Let h = 0.07 - d. What is the biggest value in h, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30429.38694 rounded to the nearest ten?\nAnswer: 30430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 212, 434, 728?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45363201, -45363200, -45363199, -45363198?\n\"Answer: s - 45363202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 14 = 1, 4*j + 23 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 4*b. Suppose -b*j = -22 - 6. Suppose -d = -j - 19. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a7 (base 11) in base 9?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/2 + 9*h + 24 = 0. What is h?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2369 (b) -34 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395660.\nAnswer: 2, 5, 73, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/12)\/(29\/87).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.96, -3, -1\/4, -0.2 in ascending order.\nAnswer: -3, -1, -0.96, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -21. Let l = t + 65.005. What is l rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1485 and 1760?\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -360, 0, 2, 5 in decreasing order.\nAnswer: 5, 2, 0, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 11 = -2*v, 0 = i + 2*v + 17. Is 26 a factor of 1\/(((-14)\/156)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f - 3*j, -4*f - j = -48 - 27. Let p(l) = 4*l. Suppose -2*y + 9 = -1. Let h be p(y). What is the highest common divisor of f and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(152\/(-375))*(-4 - 72\/(-20)). Which is smaller: i or 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 6:42 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 5. Let j be k(-6). Let i = j + -4. Is (1\/(-2))\/(i\/(-36)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/24 + (9 - 3 - 15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, -70, -1, -29 in descending order.\nAnswer: 17, -1, -3, -29, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14 = -34. Let m be 2 - ((1 - -2) + -1). Suppose u*x - 3 - 5 = m. Solve 0*r + x*r = 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*d - 3*d + 3*d)*(-2 + 2 + 2) - 10 + 5*d + 10)*(3*d - 3*d + 2*d + 2 - 2*d**2) in the form z*d**3 + w + l*d**2 + f*d and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3751)\/744 + -1 + -2 + (-22)\/(-6) and -25\/11532?\nAnswer: 23064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phjl when four letters picked without replacement from jljpplhpjj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/40*445\/267?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 7:47 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 31. Suppose 24 = w - t. Suppose -45 = 10*q - 19*q. What is the highest common factor of w and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + 21\/(-34))*123\/(-615) and -19\/1479.\nAnswer: 14790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 26 = -c, -c + 82 = 19*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 12. Let p be v(7). Let z = 2 - p. Let j(n) = n**3 - 5*n**2 + 7*n - 4. Calculate the remainder when 15 is divided by j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.6 (c) 435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*c - 4*c**3 - 14*c**2 - 178*c.\nAnswer: -4*c**3 - 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**6)**(-1\/10)*(k**(-3\/7))**21 assuming k is positive.\nAnswer: k**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -17607?\nAnswer: 17612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29365470987142 + -29365460069792.0000056. Let u = 10917345 - k. Let r = 5 + u. What is r rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30233322 - -2?\nAnswer: -30233320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 52*q**2 - 6476*q + 25076. Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1995615 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5574 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 38 = -5*k, 877*y - 881*y = -12 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.013 - 2.893. Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.4 times -0.072?\nAnswer: -2.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.545 - -58. Let s = 0.075 + l. What is s rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 - 4*r + 9. Let s be u(3). Which is the smallest value? (a) s (b) 2\/3 (c) 8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 70?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200260 is divided by 199705.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h - 2. Let w be s(6). Let z be 17\/5 - w\/10. Let v(i) = i. Determine v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -1\/1020*j**6 + 0*j + 0*j**3 + 3\/68*j**4 + 0 + 0*j**5 - 211*j**2. Factor m(b).\nAnswer: -2*b*(b - 3)*(b + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllltbtbb. Give prob of sequence bb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*u = 213982, 0 = 60*b - 62*b - 3*u + 106988. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-4)*(2277\/165 - 13)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*t + 842, t + 2519 = -14*f + 17*f. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -0.1, -0.2.\nAnswer: -1, -0.2, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1000101100100000000000001?\nAnswer: -1000101100100000000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2. Let t be l(-5). Suppose 12 = 5*h + h. Sort h, t, -3 in decreasing order.\nAnswer: h, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*l = -457*l - 5*c - 20, -3*l - c = 2*c - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -23*d + 209. Let x be f(9). Let g be -1*(-8 - 6\/(-2)). Let l(k) = 14*k - 5 + 1 - 12*k - g*k + k**x. What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -56.85616222.\nAnswer: -57.15616222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0574 times -9837?\nAnswer: -564.6438","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-12 - 28)) + -2 - -12.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 27584?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (74 - -1) + -4580 + 4545?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, -1, 961, 1, 0.083, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 3*u**2 - 24*u - 14. Let s be l(4). Let a = 18 - 11. Sort 4, s, a.\nAnswer: s, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -73. Let z = 1 + 3. Suppose -3*g = -z*h + 122, 2*g + 8 = -2*g. Calculate the remainder when h is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 1:54 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = 2*f - 64, -82 = -3*f - 2*y. Suppose 0 = n - 3*n + f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + 658?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/11154 and -109\/6.\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + 5. Let q be ((1 + g)*1)\/2. Suppose 2*c + 5*y = 134, -2*c - 3*c - 2*y + 335 = q. Calculate the remainder when c is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/544*0 - 2\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79560499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllvlll. Give prob of sequence vlll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-34)*(-2)\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 24 = -43*v. Solve -4*s - 2*m + 6 + 0 = 0, -m = -s + v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035713 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 3*g - 2. Let u(m) = 7*m**2 - 6*m - 3. Let h(n) = 9*r(n) - 4*u(n). Let s be -3*6\/(3 + (-15)\/(-10)). Calculate h(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7431343.\nAnswer: 7431343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 594, 2350, 5276, 9372, 14638?\n\"Answer: 585*o**2 + o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from {e: 1, z: 1, w: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2114 + 4?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 150*s - 2. What is the remainder when a(1) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/95, 1, -4 in descending order.\nAnswer: 1, 0.3, 4\/95, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000301309472 rounded to 7 dps?\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 3*m**2 + 7*m**2 + (0 + 0 + m**2)*(-2 + 2 + 1) + (-29*m - 71*m + 21*m)*(4*m - 2 + 0 + 2*m).\nAnswer: -471*m**2 + 158*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -3 + 2 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, k: 2, v: 2, c: 1, o: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -385, -401, -443, -523, -653, -845, -1111?\n\"Answer: -2*j**3 - j**2 + j - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058898173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(-1)*-30. Let b be (9\/(-15) + 0)*-5 + 0. Suppose w + b*y + 29 = -7, 2*w + 3*y + 57 = 0. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33139*p**3 - 67*p**2 - 56*p**2 + 33114*p**3.\nAnswer: -25*p**3 - 123*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, -668, -1966, -3794, -6158, -9064, -12518?\nAnswer: -16526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-2 - -26)) + (2 - 2 - -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/279 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13051\/246 + 852\/41. Let v = b - 74. Sort 0.3, v, 4\/5 in ascending order.\nAnswer: v, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 7:37 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2088, -4164, -6236, -8304, -10368, -12428, -14484?\n\"Answer: 2*g**2 - 2082*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -3*u, 0 = 3*o - 2*u + 10. Suppose -g - 2 = -5. Sort -4, g, o in ascending order.\nAnswer: -4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 138*f**3 - 765*f**2.\nAnswer: 3*f**2*(f - 5)*(f + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + t + 4. Let f be d(-4). Suppose -f = -2*q - 2*q. What is the tens digit of (13\/2)\/(2\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53857387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8 + 2*s - 3*s**2 - 3*s + 12*s. Let a(r) = -2*r**2 + 7*r - 5. Let q(y) = -7*a(y) + 5*u(y). Let c be q(5). Solve d = -c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56 from 7220.54.\nAnswer: 7276.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -31*d**6\/120 - d**4\/3 + 24*d**2. Find the second derivative of s(r) wrt r.\nAnswer: -186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -2, -0.8, 0, -158\/13?\nAnswer: -158\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24612943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**3 - 81*b**2 + 249*b + 144 = 0.\nAnswer: -16, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.71 - -496.\nAnswer: 494.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 122*f + 352. Determine d(-32).\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63386\/61 or -1039?\nAnswer: -1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z - 10*z + 12. Is z not equal to -50\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/5)))**1\/(l\/(l*l\/(l**(-5)\/l)*l)*l*l**(-1\/4))*(l**(8\/9)\/(l\/l**(-9)))**(-46) assuming l is positive.\nAnswer: l**(76673\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-27))\/(280\/(-60))*(-9)\/(-312)*-2\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 6 + 3 + 0*j)*(-2*j + j - 2*j) in the form s*j**2 + c + x*j and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-5)*4010\/4812)\/((-3)\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2504488 centuries?\nAnswer: 300.53856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 34*m = 5*s + 29, -22 = 4*s + 2*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q + 36 = 0. Does 27 divide 13*q\/((-36)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277 (base 11) to base 3\nAnswer: 110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6)*0)\/2. Suppose 71 = 3*f + j, -f - 3*j + 8 + 5 = k. Suppose 3*g = f + 56. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 105, 96, 87, 78, 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 721482903 a multiple of 2367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2395*k + 52533. Calculate z(22).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -1261, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 times -16146?\nAnswer: 3487536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/150*-174*(-25)\/(-10)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 6\/2*(6 + -3). Let n(c) = -3*c**2 - 32*c + 9. Is n(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 48*f**4 - 48*f**3 - 72*f**2 - 48*f - 48. Let t(w) = w**3 + w**2 + w + 1. Let v(c) = p(c) + 48*t(c). Find the third derivative of v(i) wrt i.\nAnswer: 1152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 326*f**3 + 15*f - 166*f**3 - 14*f - 165*f**3 + 1. Let q be (-3)\/12 - (-10)\/8. Let t be (3 - q) + 3*-1. Determine n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*v - 260, -16*v + i = -14*v - 151. Suppose -3*z + 4 = -5*z. Let t be -2*(-6 - z\/1). What is the highest common divisor of t and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2962 - -2894. Let s = 67.3721 + 0.5699. Let n = m + s. Round n to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 26da?\nAnswer: -26e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {d: 2, s: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 841 - 206 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1829 - -0.196. Let w = 48.016 - 48. Let f = y - w. Round f to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 18 = -5*v, -5*v - 5*j - 10 = -0. Suppose 2*h = v + 2. Is (h - (2 + -2)) + 671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 6, 16\/7, 21, 3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11519.\nAnswer: 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146685*i*j + 95087498*i*u - 3*j*u + 3*j wrt j?\nAnswer: 146685*i - 3*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54869 is divided by 1467?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248023347 rounded to the nearest one hundred thousand?\nAnswer: 1248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r - 80*r + 40 = 0. Solve -h - r*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474 + 2?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -0.6 (b) 2 (c) -196 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:17 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 4, b: 2, n: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 24. Let v(w) = 259*w + 365. Let f be v(13). Let q(z) = -z - f + 3732. Determine x(q(h)).\nAnswer: -2*h + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4454 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 - -544. Calculate the highest common factor of w and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 97, 291, 617, 1105, 1785?\n\"Answer: 5*v**3 + 21*v**2 - 6*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -515, -948, -1381?\n\"Answer: -433*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6034*z + 1980*z + 382*z.\nAnswer: 8396*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1812.8341 rounded to the nearest ten?\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 74. Solve -z - 3*q - 11 = 0, -2*q = -b*z - 7*q - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 + 411022*h - 3699036 = 0. Calculate h.\nAnswer: 9, 205502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -100, 5\/4, -2\/9, -1\/4 in ascending order.\nAnswer: -100, -7, -2, -1\/4, -2\/9, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 24 = 5*o, m - 3*m - 2*o = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 539.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/2)\/(-3) - 2. Let n(f) = 4*f**2 - 3*f - 4. Let g be n(x). Find the common denominator of 142\/g - (-3)\/12 and -48\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 6:54 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 29.5. Let q = 2191901 - 2191900.4999986. Let a = b + q. What is a rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 11.04. Let o = i - -0.47. Round o to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809108 divided by -129222?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 9. Let y be i(6). Let o(w) = -y*w + w**2 + 3*w. Let l(g) = -2*g**2. What is o(l(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5, -y + 0*y - 3*o - 2 = 0. Suppose m = 6 + y. Suppose -2*b + m = -b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10960 = 320*y - 8987 + 4907 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-1 + 2))*532\/(-21). Let n be ((-3)\/6)\/((-9)\/9)*16. Calculate the greatest common factor of l and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 3. Let a(y) = -8 - 10 + 17 - y + 0*y. Let l(p) = -3*a(p) - 3*j(p). Differentiate l(v) wrt v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 26 = -2*p, p = 2*o + o - 12. What is the remainder when (-3)\/p + 202\/12 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472572497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*(3 + -13 - -4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34290*l*y**2 + 787*l + 2*y**2 + 41 wrt y?\nAnswer: 68580*l*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3)*13\/1. Suppose 27 = 5*a - i, -2*i + i = 3*a - b. Let c(d) = 85*d - 165. Let z be c(2). What is the greatest common divisor of a and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 3. Suppose 0*t = -2*t + u. Does t = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2\/3, 3, 930409?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3 + 6*c**2 - 15*c + 20. What is d in b(d) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2564 + -5.2564. Suppose -i - 2*z = 3*i + 4, 4*i + 8 = -4*z. Suppose i = 2*l + l + 48. Which is the third smallest value? (a) q (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/10*5 - (-10673 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -34.2866?\nAnswer: -171.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -41207+48.6198\nAnswer: -41158.3802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -132, -354, -686, -1140?\n\"Answer: -2*j**3 - 37*j**2 + j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -37\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -37, -58, -73, -76, -61?\n\"Answer: s**3 - 6*s**2 - 10*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -43 - 1\/(2 + -3). Let t = z - -377\/9. Let v be (-2)\/(-18) - 2\/(-9). What is the closest to v in t, -3, -15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 + -148. What is r rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x - 3. Suppose 0 = p + 3*m + 6, 6 = 5*p - 6*m + x*m. Suppose -g - 3 = p, -3*i + 4*i + 2*g - 53 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68145*t**3 + 6*t**4 - 9*t**6 - 68144*t**3 + 202*t**2 + 190*t**2 wrt t.\nAnswer: -1080*t**3 + 144*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-2*v + 0 + 0)*(-4 - 1 + 3).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 524*r**3 - 6*r**2 - 5*r - 9. Let i be p(-7). Round i to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1556*m**3 - 2*m - m - 1563*m**3 to the form p*m + u + v*m**3 + r*m**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i. Let k be p(-2). Suppose 200 = -999*l + 995*l. Let w = k + l. Solve -15 = -3*s, -4*t + 13 = -w*s + s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/760 and 58\/50771?\nAnswer: 38585960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/(((-93744)\/9765)\/((-14)\/(-5)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*a + 666 - 686 = 0, -10 = 2*l + 5*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1665, 3334, 4999, 6660, 8317?\n\"Answer: -2*l**2 + 1675*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((2 - 4) + 6\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6429a8 (base 11) in base 14?\nAnswer: -1cac95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, a: 2, v: 2, d: 2, b: 2, s: 1}. What is prob of picking 2 d and 2 v?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 7363452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -153. Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = q + 3*q - 16, -5*k + 8 = 2*q. Let d(h) = -2*h**2 + 4*h - 10*h**2 - 10 + 14*h**2. What is the tens digit of d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 6 - 45588*x - 7 - 8.\nAnswer: -45588*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 92*p**2 + p. Let v(f) = -6*f. Determine w(v(o)).\nAnswer: 3312*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -184569384 - 0.4?\nAnswer: -184569384.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 703*c**2*s*v**2 + 6*c**2*v**2 + c*s*v**2 + 2*c*s - 6*s*v - 152*v wrt c?\nAnswer: 1406*s*v**2 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 136?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.9 (b) 0.1 (c) -16 (d) -0.5 (e) -2\/17 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*q + 17 - 3 + 7 = 0, 5*m = -4*q - 81 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/4 - (-5)\/20. Let x = p - 2. Suppose 3000 = -u + x*u. Round u to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -49*a + 9 - 597 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r + 6*r + 3*r**3 + 2*r + r**3 - 2*r + (2*r**2 - 2*r**2 - r**3)*(-1 + 0 + 0) + 1586*r**3 + 2714973*r - 2714973*r.\nAnswer: 1591*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m\/(m*m**(-11)))\/m)**25\/(m**(-9))**(-3\/23))**45 assuming m is positive.\nAnswer: m**(309285\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -975694 - -3.\nAnswer: -975691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z + 11*z + 2*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 509137621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhphpph?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6 - 6*v**2 + 14*v - 80*v + 16*v + 47*v. Let r(q) = 11*q**2 + 5*q - 11. Give 4*r(p) + 7*y(p).\nAnswer: 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51*14087.\nAnswer: 7184.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*p**4 - 10\/11*p**3 - 2\/11*p**5 + 0 + 0*p - 4\/11*p**2.\nAnswer: -2*p**2*(p + 1)**2*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -84, -3, -5, -142, -4, -1 in descending order.\nAnswer: -1, -3, -4, -5, -10, -84, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5))**(6\/7) assuming x is positive.\nAnswer: x**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -260 - -256. Let i = 87 - 523\/6. Let v = 40 + -45. What is the nearest to 1 in i, x, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x, 5*x = -2*s + 2*x - 51. Let o be (-4)\/(-22) + (-885)\/s. Calculate the greatest common factor of o and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 3501.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -w + 397. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-379647)\/(-86)*(26\/(-6) + 3). What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vovv when four letters picked without replacement from vvovvvvvvvvvvvvvvvvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-48)\/27)\/8 - 11308\/(-18).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.1364149 rounded to three decimal places?\nAnswer: -43.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20907*p**3 + 10455*p**3 + 10455*p**3 - 98*p - 2*p to the form u*p**3 + y*p + f*p**2 + n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-14)\/(-105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxxoxooxxxkos. Give prob of sequence xsk.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -908\/13. Let t = -138.8555 + 135.8555. Sort 0, y, 0.14, t in increasing order.\nAnswer: t, 0, 0.14, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -59*z**5\/20 + z**4\/3 + 293*z**3\/3 - 1594*z - 1. What is the second derivative of f(u) wrt u?\nAnswer: -354*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.2 + 21. What is the nearest to 1\/4 in 5, 10, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -37*i + 73. Is b(-6) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.083035 + -5\nAnswer: -5.083035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n - 54. Calculate z(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 604923.6 litres?\nAnswer: 604923600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 81 + -11 - 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-18))\/(3\/104). Suppose 29 = 7*f - h. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (2 + (-3 - 16) - -7)) + -36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 + 1316*g + 8040 = 0.\nAnswer: -6, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*p - 78690 = -3115, -p = 3*d - 56695. Round d to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27692\/(-41538)*(-5)\/(-6)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = 16. Let y(t) = -2*t + 4. Give y(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 2*i**2 + 3 - 6*i**3 - 3.\nAnswer: -2*i**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121076492.\nAnswer: 2, 107, 282889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1544 + 857. Let o = j + 2306. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 485 - 455. Let c = o + 1497. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h + h**2 + 6 + 14*h**2 - 7*h**2 - 9*h**2 - 6*h. Give i(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -12*f**4 - 213*f**3 + 54*f**2 = 0.\nAnswer: -18, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 287823724?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - a1121aa?\nAnswer: -a1121a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31\/(3\/35*(-90)\/(-432)).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/3403923 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(16\/(-6)))\/((-65964)\/3824).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:27 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 4*f + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 957455 and 957452 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*b - 26 = -5*a + 437*b, 0 = 4*b - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 8*t**2 - t + 8. Suppose 3*y + 17 - 32 = 0. Suppose -23 = y*s + 17. Let n be b(s). Solve -v - d = -4*d - 8, -v - n = 5*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/20 and (-25)\/(-28)*(51\/15 + 1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + a**2 + 2*a + 1. Let s be u(-1). Let l be 7 - (-4 + 21\/s). Let g(b) = b**3 - 2*b**2 - 4*b. Let v be g(3). Put -1, l, v in increasing order.\nAnswer: v, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 6*n**2 + 3*n - 1. Let k(t) = -13*t**3 + 25*t**2 + 13*t - 3. Suppose 2*s - 7*s - 10 = 0. Let g(q) = s*k(q) + 9*c(q). Determine g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 64. Let o be u(-23). Solve -7 = -2*w - r, 4*w - o = -0*r + 2*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 28819?\nAnswer: 4\/28819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71783 - 4?\nAnswer: -71787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*y**4 - 682*y + 682*y)*(0 - 3 + 2)*(-9 + 62 + 92) as u*y + o*y**4 + j*y**3 + h + w*y**2 and give o.\nAnswer: -6960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312021*a**4 - 483028*a?\nAnswer: -3744252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1804b1 - 5?\nAnswer: 1804a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxxqwiixiqxqx. Give prob of picking 2 x and 1 i.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (212\/10*4)\/((-7)\/((-35)\/2)) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.598489 millilitres to litres.\nAnswer: 0.004598489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -135.8?\nAnswer: -135.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -141779728 rounded to the nearest 10000?\nAnswer: -141780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/2 + 871*w**2\/2 + 414*w - 18270 = 0.\nAnswer: -870, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezecccccece. What is prob of sequence eee?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*a - 24, -154*a + 155*a = -10. Let u(k) = k. Let h(i) = 2 - 3 + 4*i - 11*i. Calculate z*u(o) - h(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 2*z**3 + 0 - 6 + (-4*z**2 + z**2 - z**2)*(-z + z - 2*z) + z**3 - z**3 - z**3 to f*z**3 + d + n*z + k*z**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, q: 3}. What is prob of sequence bq?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 12*n)*(-3 + 2*n**2 + 3 + (-3*n + 4*n - 2*n)*(2*n - 2*n + n)).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-18))\/((-412)\/(-927)))\/5*2\/29\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -853.8151 and -12958371.\nAnswer: -12959224.8151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t**(-7)\/t)*t\/((t**(1\/2)\/t)\/t)*t assuming t is positive.\nAnswer: t**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 6. Let y = 1.4 + t. Round y to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53889 is divided by 26936?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -29*a**3 + 247*a**2 + 8*a - 96. Determine x(6).\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-228))\/((-3)\/(-108)) + -25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 7*c. Let f be p(-6). Calculate the remainder when ((-3)\/f)\/(1\/(-30)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 130, 500, 1230, 2440, 4250?\nAnswer: 6780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/91)\/(f*f**(-3\/29)))\/(f\/f**(-40)*f**(3\/2)))**(-1\/11) assuming f is positive.\nAnswer: f**(20833\/5278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let h = -20\/9 + 23\/9. Which is the closest to h? (a) l (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/(-12) + (-144)\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.05 + 2. Let q be (0 - -35) + (7 - 5). Let c = -112\/3 + q. Is c at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**3\/3 + 2*q**2 - 14*q. Give d(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 + 13*o**2 - 24*o - 32. Let d(j) = j**3 - 2*j**2 + 6*j + 8. Let w(y) = -9*d(y) - 2*h(y). Determine w(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 653, 709, 787, 887, 1009?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40.91 and -1.32.\nAnswer: 54.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-423)\/235*(-180)\/(-27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {w: 12, p: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(3*r - 2*r + r) + 0 + 0 - r + 1 + r - 1 + 1 - 1 - 2*r + 0 - 3*r - 2 + 2*r)*(-1 + 0 - 3 + (8 + 5 - 4)*(2 + 0 - 3) - 2 + 0 + 1 + 8 - 2 - 2).\nAnswer: 50*r + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-10)*1242\/(-243).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y = -5*f - 3127, -109*f + 106*f - 2*y = 113 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1094, -1090, -1086, -1082?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -5. Suppose 8 = -4*h + 4, 0 = 2*o + h - 11. What is the greatest common factor of a and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10724542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(672)\/sqrt(6) - (sqrt(448) + 2)**2) + -1.\nAnswer: -454 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5407548393 and 275.5.\nAnswer: 5407548668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 32366*d. Let q(l) = 3*l**2. Calculate q(m(c)).\nAnswer: 3142673868*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = -d, 4*d = 4*u - u - 15. Let c(n) = 0 - 4*n + 1 + d. Let j be c(-1). Solve -2*f + j*f + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1806937*u**6 + 54886*u**2 wrt u.\nAnswer: -216832440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321.161 - 321. Let a = -0.139 - o. What is the closest to 0.4 in -0.4, 2\/7, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-225)\/(-600) - 1397\/(-8) is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 86*r**2. Let q(a) = 310964*a**2. Calculate q(k(l)).\nAnswer: 2299889744*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**3\/6 - 4*g - 104. Let d(l) = 5*l**2 - 5*l. Give 4*d(k) - 20*p(k).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3322 and 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 7. Let c(u) = 11*u + 21. Calculate 2*c(q) - 7*k(q).\nAnswer: q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*p**2 + 9*p**2 - 20*p**2.\nAnswer: 46*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - 27*j**2 - 31*j - 38. Let i be x(-8). What is the greatest common factor of 4059 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + 0 + 0)*(-77*c - 17*c - 24*c) as t*c + z*c**2 + g*c**3 + o and give g.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 6*m - 1630. Let z(n) = -2*n - 3. Give y(q) - 3*z(q).\nAnswer: 3*q**2 - 1621","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4805, -17244, -29683, -42122, -54561?\n\"Answer: -12439*l + 7634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 22) + -566 + 576\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -40. Let m = 10 - x. What is the third derivative of -8*s**2 + 6*s**6 + s**m + s**2 wrt s?\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714317386?\nAnswer: 2, 47, 18237419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10206722 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: Let y(v) = -4*v + 5. Let x(f) = f**2 + 20*f - 7. Let o be x(-20). Let a(b) = -5*b + 2 - 4 + 8. Calculate o*y(w) + 6*a(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -674, -5351, -13980, -26555, -43070, -63519, -87896, -116195?\nAnswer: -148410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1241 = -u - 4*m, 0 = 2*u - 3*m - 2475. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 3, -2, -4 in increasing order.\nAnswer: -4, -2, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11911 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2563.8963 to the nearest ten.\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6274)\/(-3))\/((10\/(-6))\/(-5))?\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(-1 + sqrt(4212) + sqrt(4212)) + 2*sqrt(52) + 3 + sqrt(26)\/sqrt(2) + 5).\nAnswer: -335*sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142314 (base 6) to base 3.\nAnswer: 12102112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 19*b + 27. Is 9 a factor of l(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15*q**3 + 3*q**2 + 17*q - 20. Let l be t(1). Solve 2*h - 5*h - l = 3*a, 10 = -4*a + h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4.9. Let d = 94 - 847\/9. What is the third biggest value in -3\/2, i, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329 - -1559\/5. Let r = y - -17. Let j = 104 + -104.19. What is the second biggest value in j, 0.5, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -6, -10136 in descending order.\nAnswer: 29, -6, -10136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 + 3*y**4 + y**4 + (-2*y**3 + y**2 - y**2)*(-17*y - 35 + 35) - 3*y**4 + y**4 + 0*y**4 to the form l + a*y**2 + g*y**4 + o*y + w*y**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -3.7\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, -128, -1064, -2384, -4094, -6200, -8708?\nAnswer: -11624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 25. Let s(c) = -71 + m - c**2. Let u(o) = 216*o - 2. Determine u(s(q)).\nAnswer: -216*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Find the third derivative of -s**2 + 7*s**5 + 0*s**y - 5*s**5 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -27.1. What is the smallest value in -11, 3, r?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 812467230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*v = -1 - 4, 4*h - 10 = -2*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-52)\/(-44) - (-180)\/(-22). Calculate the common denominator of 65\/8 and -1 - 5\/70*u\/1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8965 and 40.\nAnswer: 71720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 3, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*v - 3*v - 7*v.\nAnswer: -12*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n - 2. Let b be v(2). Are b and 14\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -56) + 8\/((-9240)\/10409).\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - 1)*(-4)\/8. Let w be k\/(-6)*2616\/16. Suppose -w = -c - 31. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.5. Let a = 3 - 2. Put a, 0.3, z in increasing order.\nAnswer: z, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from {g: 1, d: 1, m: 1, t: 2, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 + 5*p**2 - 14*p. Let w(m) = -8*m**3 + 6*m**2 - 13*m. Let h(j) = 6*k(j) - 5*w(j). Find the second derivative of h(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/(-5))\/((-3 - -7)\/(-116)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 10 = 3*t. Let c(m) = 17 - 32 + 15 + 2*m**t. Let l(x) = 8*x**2. What is c(l(d))?\nAnswer: 128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3, 7*p = 2*p - 2*n + 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggeheneeehel.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 609914830 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 507339, 507340, 507341?\n\"Answer: m + 507338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 - 213 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) + (sqrt(150)\/sqrt(5))\/sqrt(10)))**2 + sqrt(27) + 1 + (sqrt(3) - (-2 + (sqrt(6)\/sqrt(2) - sqrt(3)))).\nAnswer: 4*sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32273373 is divided by 6545.\nAnswer: 6523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*o = -228, 2*h = 5*o + 113 + 328. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*a + 20, -15*y = -14*y - 1244*a + 6220 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 11*y + 11. Let w be h(10). Let z be (8 + -8)\/(-3*w). Solve z*j - 5*j - 2*b + 27 = 0, -8 = -2*j + 2*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 + s**2 - 6*s + 5. Let b be m(1). Let t(w) = -w - 5. Let a be t(b). What is the smallest common multiple of (7 - a)*354\/24 and 16?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/11)\/d)\/d**(2\/11) assuming d is positive.\nAnswer: d**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 7 - (5 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*q**4 + 360*q**3 + 99620*q**2?\nAnswer: -696*q + 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26696 + 0.03304. What is the nearest to -1\/4 in -54, 2, 0.12, a?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4139234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 7\/4, -1\/5, -0.1 in decreasing order.\nAnswer: 7\/4, 0.5, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxppjtixoooix. What is prob of sequence txo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/34 + -3)\/(10*4\/(-120)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -4, 17?\n\"Answer: 21*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (-2*sqrt(648)*-2 + -3)**2*1).\nAnswer: -432*sqrt(2) + 10382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((((j\/((j\/(j*j*j*j**(-4\/9)*j))\/j)*j)\/j)\/j*j)\/j))**26\/(j*j**3)**(-2\/5) assuming j is positive.\nAnswer: j**(-2918\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/370 and -47\/185?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66740 + 18*d**3 + 66740 - 2*d + d**2)*(-5*d + 3*d + 0*d) - d**4 + 4*d**4 - 2*d**4.\nAnswer: -35*d**4 - 2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (16 + 5) - (1 - (18 + -3))) + 111.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k + 0 + 0*k**5 - 8\/3*k**3 - 14*k**2 + 7\/40*k**6 + 0*k**4. Differentiate y(o) wrt o.\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17024 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -253, 153, 811, 1715, 2859?\n\"Answer: -w**3 + 132*w**2 + 17*w - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3334 is divided by 1061?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, -1468, 17 in descending order.\nAnswer: 17, -204, -1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 233906116 rounded to the nearest 100000?\nAnswer: 233900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 6) in base 12?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -22492?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -15*n + 31 - 78 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 182.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 7*s - 3. Let g be x(-6). Suppose 4*m - g = m. What is the remainder when m is divided by 175\/15 - (-4)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, -0.2, -1, -0.0242?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*i - 5*w, 0 = 2*i + 3*i - w - 177. Let j(o) = -o**3 - 14*o**2 - 39*o + 8. Let u be j(-4). Calculate the highest common factor of i and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let o be (-12)\/d + (0 - -1). Let z be (-1 - 3)*o\/4. Solve 3*g = 2*g + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.538 - -18.638. Which is bigger: 3400 or b?\nAnswer: 3400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 7 - 1 + 4*a - 8.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2793 and 1596.\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*k + 246 = 251, 5*j + k = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a7573 (base 12) to base 6\nAnswer: -4415423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.03, 1.6, 8.7?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -1, 3 in decreasing order.\nAnswer: 3, 1, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*g**3 - 29*g**3 - 29*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010356 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*v + 842*v = 429*v + 114 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -9, 25, 83, 171, 295, 461, 675?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7 and ((-22)\/77)\/(-1) + (-45)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*s - 151698 = 413*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457614.\nAnswer: 2, 7, 31, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0 - 9*u**2 + 0*u**6 + 0*u**4 - 1\/15*u**7 + 0*u + 0*u**3 - 7\/30*u**5. Find the third derivative of q(s) wrt s.\nAnswer: -336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -648, -1\/2, 15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/3)\/2 + 24. Let q = h + -14. Suppose -q = a - 4, 4 = 3*v + a. Solve 0 = -z - v*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*u**4 - 133*u**3 - 15411*u**2 - 5?\nAnswer: -7512*u - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 - ((-2)\/(-10) - (-168)\/(-40)). Solve 22 = -3*w + n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*k - 3, 0 = 5*k + 3*r + 2*r - 35. What are the prime factors of 0\/k + -4 - -183?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133836.4 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 0 + 1 + w**4 - 2*w - 7*w**2 + 10*w**2 + 1 to the form m*w**4 + c*w**2 + n + j*w + b*w**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/51*(494\/36 - 4\/18). Solve -v*b - 14*b = -184 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10) - (-84)\/35. Let j = x + -9\/2. Calculate the common denominator of -19\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 2*p - 1. Let l be b(-2). Suppose -3*c + 15 = 0, 20*k - 17*k + c - 2 = 0. What are the prime factors of 50 - ((k - 0) + l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17) - -1*sqrt(612)) + -5 + (-3 + sqrt(17))*3 + 3)**2.\nAnswer: -300*sqrt(17) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3501613485 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354 - 88826*v**2 + 93243*v**2 - 354.\nAnswer: 4417*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136115, -545222, -1227065, -2181644, -3408959, -4909010, -6681797?\nAnswer: -8727320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, s: 11, n: 1, g: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 961858 divided by -480929\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 1\/40, -2, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -9, 2\/11255, -3 in descending order.\nAnswer: 2\/11255, -1\/5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 9*d = -5*a + 48, 30 = -5*a - 4*d + 52 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-1694)*(-33)\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562625 < 2562618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(-10\/11))**39*u**(6\/11)\/(u\/(((u**6\/u*u)\/u)\/u)*u)*(u\/(u*u\/u**(-1)*u))\/(u*u**(1\/4)) assuming u is positive.\nAnswer: u**(315\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -297.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l - 130. What is u(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1511 (base 7) to base 10\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169 + 84 + 86 - 2*w to y + c*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36528740 a multiple of 1357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44.4718t?\nAnswer: 44471.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 83. Let n be (-1)\/(-3) - (-3 + 0). Is t <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418218 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Let p = -32 + 35. Suppose -2*u = 4 + 2, -3*v + u + p = 0. What is the second biggest value in m, 2\/19, v?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 19. Suppose -v = 2*t - y, 8 = -4*t + 6*t + 5*v. Solve -j + 4 + 11 = 4*x, 2*j = -t*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + 5*a + 1. What is s(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2253, 9533, 21907, 39375, 61937, 89593, 122343?\n\"Answer: 2547*x**2 - 361*x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-6)*b**(3\/11))**10)**(-9) assuming b is positive.\nAnswer: b**(-7200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bauab. Give prob of sequence uba.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z = 2*z + 60. Find w, given that 0*w**z + 92\/3*w**4 - 2116\/3*w**3 + 0 - 1\/3*w**5 + 0*w = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 124, 532, 1218, 2188, 3448, 5004, 6862, 9028?\n\"Answer: b**3 + 133*b**2 + 2*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 294*f**3*q**3 + 124*f**3 + f*q**3 with respect to q.\nAnswer: 882*f**3*q**2 + 3*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(110) - ((sqrt(110) + sqrt(110) + (sqrt(110)*-1 - sqrt(110)) + sqrt(110))*4 + sqrt(110)))\/((3*sqrt(30))\/sqrt(3)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 8. Suppose -34 = -4*h + 2*h. Let a(g) = 8*g + 29. Let y(i) = 9*i + 28. Let x(l) = 5*a(l) - 6*y(l). Give h*r(d) + 6*x(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.249 + -103586914.7743\nAnswer: -103586913.5253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose 2*q + 5*r = -10, d*q - 5*r - 6 = 4. Suppose -i + 52 = -0*i - 3*a, q = -4*i - 4*a + 160. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, 0*h - 3*h + 23469 = 3*q. What are the prime factors of h?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 9. What is x(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 21108.16.\nAnswer: 21106.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**4 - b - 3*b**2 + 10*b - b**2 - b**2. Let t(q) = 2*q**4 - 4*q**2 + 8*q. Let c(k) = 4*n(k) - 5*t(k). What is the second derivative of c(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106391.5 kilometers to millimeters.\nAnswer: 106391500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21111.866532 + 21112. What is u rounded to four decimal places?\nAnswer: 0.1335","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, -388, 3 in descending order.\nAnswer: 209, 3, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(475) - (2*(sqrt(475) - (-2 + sqrt(475))))**2).\nAnswer: -15 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 63101559 = -2*i. Let a = 494302 - i. Let d = -9939551 - a. Round d to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 2 - sqrt(1088))*2 - (-2 + 2 + sqrt(1088))**2.\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 - 3*l**2 + 3*l. Suppose 0 = 2*m + 3*q, -q - 14 = -0*m - 4*m. Let x(h) = 26*h**3 + 16*h**2 - 16*h. Calculate m*x(v) + 16*j(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 4104456369 = 0. Let o = k + -4317888136753\/3156. Let v = o + 2\/789. Calculate the common denominator of 53\/8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p - 1)*(-5 + 1 + 3)*(62*p + p + 64*p).\nAnswer: 254*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-7 - 6) - (1 - (2 + 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4, -0.1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 5 (b) -5 (c) -15 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8933 divided by -128.\nAnswer: 8933\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 4. Let b be a(7). Let p be ((-16)\/140)\/(b\/75). Is 3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 3937.\nAnswer: -32\/3937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - ((-28986)\/(-1404) - 14) and 19\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162.99931 + -163. Round c to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45303 (base 6) to base 11\nAnswer: 4876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1581 in 0.3, 4, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 219, 433, 621, 777, 895, 969?\n\"Answer: -q**3 - 7*q**2 + 242*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrb when three letters picked without replacement from vrvbbpvkv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2 - (-6 + -83). Let m = -81 + l. Let r(d) = -d**3 + 7*d**3 - d**2 + 5*d**2 - 3*d**3 - m. Let y(g) = -7*g**3 - 9*g**2 + 13. Give -13*r(f) - 6*y(f).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 4*g**2 - 10*g - 12. What is u(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541 + -540.999804. What is i rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 63 + 17 = 0. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 188 = -14*r. Suppose -127 = -j + r. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02027 to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 132, 202, 270?\n\"Answer: -l**2 + 75*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + w. Let h be z(2). Suppose 0*v = -2*v + 6. Suppose 22 = -h*t + v*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 s, and 2 r when four letters picked without replacement from {s: 6, a: 1, h: 2, r: 9, t: 1}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 + 5 = 0. Suppose q - 27 = -5*p, -q - 14 - 9 = -5*p. Suppose q*i = -5*l - 2, i + 2*l + 0*l = -1. Are i and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-7585254.5.\nAnswer: -30341018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2112 - 2238 - 545)*(-a - 4 + a - a) to j*a + m and give m.\nAnswer: 19580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/25 + 19\/(-5). Let j(b) = -b - 2. Let d be j(x). Solve -2*o + 7 = -r, 2*o = r + d*r + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -5.79?\nAnswer: 18.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let j(h) = -7567999*h. Give x(j(t)).\nAnswer: 7567999*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6 - 9 = 0. Let i be (-4)\/(-12)*k*-5. Let d be 203\/35 + 1\/i. Calculate the greatest common divisor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 55.057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 - -301. Let y = t - -81. Suppose 0 = 4*r - p - 297, r - 3*p - y = -2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -2 (d) 2\/7 (e) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmgaaagmggag. What is prob of picking 1 m and 1 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2872 - -2895. Solve -p*w = -37*w - 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, -1\/3, -2, -0.0356, 0.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (455\/10 - -5) + (10\/(-12))\/((-14)\/(-42))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/3601559 and -47\/5486.\nAnswer: 7203118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004922144 to six decimal places.\nAnswer: 0.004922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (11 + (-7 - 10)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/h)**25\/(h**(-6)*(h*h*h**(-4\/3))\/h) assuming h is positive.\nAnswer: h**(-242\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*q + 76. Let o be (4 + q)*(-4 - 62146\/21). Round o to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/10 - 7*r**4\/6 + 5*r**3 - 9*r**2 - 3*r. Factor w(l).\nAnswer: 2*(l - 3)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**5 + 53380*p**4 + 42716*p**3 + 8544*p**2.\nAnswer: -p**2*(p - 2136)*(5*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 16565.65?\nAnswer: 49696.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-3)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 17, 44, 81, 128, 185?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 117312*r - 55 - 117325*r - 2*r**2 to the form a*r + f*r**2 + j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 464913347 + -0.6\nAnswer: 464913346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 7:10 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - s**3 - 187 + 194 + 2*s**3 - 5*s**2. Let h(k) = -2*k**3 + 6*k**2 + 6*k - 8. Give 6*b(q) + 5*h(q).\nAnswer: -4*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176403703.\nAnswer: 151, 211, 36923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*3 + 1 - ((sqrt(700) + -2)**2 + 5).\nAnswer: -708 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-472)\/(-1062)*(-3)\/(-2)*(-42)\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 10*o**2 + 2*o**4 - o - 4*o**2 - 3*o**4 to a*o + p + u*o**2 + d*o**4 + i*o**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524729617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -81, 4 in descending order.\nAnswer: 4, 2\/13, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 20 = -5*k, 0 = 30*c - 32*c + 3*k + 37 - 45 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -503*f + 3533. What is s(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 84 = 2*n, 6*d = 4*d + 3*n - 26. Let w(o) = -3*o - 46. Let f be w(d). What is the first derivative of -231*b**f - 217*b**2 + 401*b**2 + 43 wrt b?\nAnswer: -94*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -9*g - 4*g + 2255237. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 54\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 27. What is the units digit of j(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:27 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 742, 2776, 6150, 10864, 16918?\n\"Answer: 670*s**2 + 24*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 6*r + 10. Let f be 1 - 1 - (16 + 1). Let v = f + 10. What are the prime factors of g(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -9) + 4 + (-1 - (7 - -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210b214 (base 13) to base 3.\nAnswer: -200220120020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17754 and 32868.\nAnswer: 8841492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370*w**4 - 7928*w**3 + 57*w**2 + 11173*w + 4 wrt w?\nAnswer: 8880*w - 47568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*275223.\nAnswer: 1100892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 7*q**5\/60 - q**4\/6 + 5*q**3\/6 + 10*q**2 + 4. Let r(d) = d**2 - d + 1. Determine -b(g) + 5*r(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.24 (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*1*-4 - (sqrt(77) - (sqrt(77) - -1*sqrt(77)*-2)))\/(sqrt(891) - (sqrt(891) - (sqrt(891) - sqrt(891)*-2)*-2 - sqrt(891))).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + z + 70 - 83, z - 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -71, -96, -115, -128, -135, -136?\n\"Answer: 3*x**2 - 40*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - 342 + 0*i - 5*i**2 + 0*i + 5*i**2 + 2*i to r*i**2 + s + m*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1173546 and -53\/576?\nAnswer: 37553472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 16*t - 17*t. Suppose 4*n - 236 = u, 0 = -3*n + 2*n - t*u + 42. Let r = -176\/3 + n. Which is the nearest to 0.1? (a) 0.4 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 + 0.32. Let w be -15 + 23\/(7728\/5024). Sort 2\/23, c, 1, w in decreasing order.\nAnswer: 1, c, 2\/23, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 6. Let r(f) = -f + 1. Let g(b) = -2*a(b) + 6*r(b). Let p be g(-3). Let i = 87 - p. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73\/2 in 40, 933, -1\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 24\/(-9))\/(6\/72). Let t be (-2)\/((-3)\/(135\/(-6))). Let s = t + l. Solve 3*d = d + j + 3, d + s*j = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*i + 2995 - 31400. What is the highest common factor of 1469 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 945 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 1249 = 161*l + 837 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700784 or -700783?\nAnswer: -700784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-20))\/(-3)*-5. Find the second derivative of -m**4 + 0*m**h - 4*m - 3*m**4 + 0*m**2 wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726, 719, 700, 663, 602, 511?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 3. Calculate the least common multiple of v and (-1050)\/(-90) + (-10)\/6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 66. Solve 2*t + 7 = -0*h - y*h, -h + 2*t = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let j = 58 + 14. Let o be (-34)\/j - (-8)\/36. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (29 - (130 + -58)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5.4. Let k = -211.0355 + 0.0355. Let t = -211.4 - k. What is the fourth biggest value in 1\/3, t, 2, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.631581827836 and -41.\nAnswer: -40.368418172164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s)**(-2\/27)\/(s*(s**(-2\/11)\/s*s)\/s)**(-3) assuming s is positive.\nAnswer: s**(-248\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 at most as big as 752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + 51322\/(-48840). Let v = -8\/185 - o. Let c = -3\/88 - v. What is the third biggest value in 4\/7, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 14. Let b be d(7). Solve 0 = -4*y + 2 - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(23939\/(-1294))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b*q**2*x + b*q**2 + 47*b*q*x + 6*b*q + 2442197*q**2*x + 10157*q wrt q.\nAnswer: 16*b*x + 2*b + 4884394*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1056 by 1.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190\/21 - 359\/42. What is the closest to v in -0.1, -2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3382 - -16909\/5. What is the second smallest value in -4, p, 85, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 56155*l + 187. What is d(0)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.11 + 2.10999626. Round s to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102 (base 3) in base 10?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -23, -35, -53, -77, -107, -143?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -29. Suppose -2*l + 3*b - 2 = -4*l, -b = 4*l - 4. Suppose g - 3 = l. Calculate the lowest common multiple of u and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2 and 139\/37290.\nAnswer: 37290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 13.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 7*b - 9. Let y be m(4). Let t = 16 + -8. What is the remainder when t is divided by y - (-7)\/(-28)*0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.22 (b) 167\/30 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**5 + 11766*l**3 + 2*l**2 - 271323*l - 3.\nAnswer: -80*l**3 + 70596*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 302609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:43 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41888.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**3\/6 + f**2\/2 - f. Suppose 2*k = 32 + 4. Suppose 22*j - 4 = k*j. Calculate l(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0941647957 rounded to five decimal places?\nAnswer: -0.09416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-4)\/24)\/((-60)\/1512). Which is smaller: h or 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 4. Let t be r(0). Let a be t\/6 - (-67)\/3. Suppose -10 = -2*h - 3*h, -u = h - a. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)\/sqrt(3) + sqrt(30))\/sqrt(10) - (-3 + sqrt(12)\/sqrt(4)))*-4 - 5*(-5 + sqrt(432))*5)**2.\nAnswer: -68704*sqrt(3) + 290017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 2694*u + 1772054. Give s(-1141).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*c - 24*c + 6262700000. What is c rounded to the nearest 1000000?\nAnswer: -626000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1285 and 39?\nAnswer: -50115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - z - 49 = -0, -133 = -5*b - z. What is the highest common factor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001422179259 rounded to 6 dps?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 22 = 0. What is the lowest common multiple of p and 106?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/305110441 and 99\/143581384.\nAnswer: 2440883528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, -4\/13, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 434977691 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -382*w + 8000. Calculate the remainder when 1086 is divided by h(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4 + -4)*(-32)\/208\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + (-16)\/(-144) + (-572)\/(-36). Solve 6*d = -s + 49 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 3*w - 13521, 2*q + 4*w = 6766. Let l = q - 1688. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40344 (base 10) to base 6.\nAnswer: -510440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 40*o**5 - 6*o**3 + 74*o - 4. Let y(q) = -q**5 + q**3 + 1. Let l(x) = -b(x) - 6*y(x). Find the second derivative of l(c) wrt c.\nAnswer: -680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 11*g - 748 = 0. Let i = 3 - -14. Calculate the highest common factor of i and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8964a (base 14) in base 6?\nAnswer: 11050522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 33*h**2 + 96*h + 84.\nAnswer: 3*(h + 2)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5472 = -4*i - 4*t, -2142 = 5*i - 2*t + 4733. Let g = 7993 + i. What is g rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-3)\/2)\/((-336)\/(-24) - 8). Let f(k) = -k**3 - 3*k**2 - k + 2. Let j be f(-2). Which is the closest to 2\/5? (a) j (b) w (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99572981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 4 + -2 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/39)\/((-1)\/3). Put 4, a, -6 in decreasing order.\nAnswer: 4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -37, -39, -43, -49?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**9\/151200 - q**8\/50400 + q**5\/20 + 5*q**2. Let d(l) be the third derivative of c(l). Factor d(o).\nAnswer: -2*o**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 153 (b) 12 (c) -0.5 (d) 0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {j: 4, v: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 486971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:33 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 88 - 96. What is the greatest common factor of 230 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1883045*f**3 - f**2 + 29150023*f wrt f.\nAnswer: 11298270*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -769\/21 (b) -1.6 (c) -3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: (7084\/368)\/((-63)\/(-72))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(1 - (-11)\/(-3)). Suppose -a + 0*a = 6. Let b = h - a. Is b < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f - 60 = 0. Suppose c = -3*i + 2*c + 16, -c - f = -4*i. Find the third derivative of 9*d**2 + i*d**6 + 12*d**3 - 12*d**3 + 3*d**6 wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(5*(sqrt(68) - sqrt(68)*1) - sqrt(68))*6)\/((-1*sqrt(648) - sqrt(8) - sqrt(8))\/((-1*sqrt(10))\/sqrt(5) - sqrt(2))))**2.\nAnswer: 39168\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2796 and 7\/6215301?\nAnswer: 5792660532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 - o + 4. Let m(v) be the first derivative of 7*v**3 + 5*v**2\/2 - 21*v - 59. Calculate -11*a(y) - 2*m(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15254.0964 - 15257. Let a = 2.9 + y. What is a rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-3)\/27)\/(5\/((-1620)\/9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3777 - -11333\/3. What is h in -22\/3*h + 51\/2*h**2 - 27*h**3 + d = 0?\nAnswer: 2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (2 + -1)) + (8 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320948049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 1. Let l(q) = -q + 1. Let o = 29 + -24. Let d(h) = o*l(h) - 3*f(h). Let i(u) = -2*u + 5. Let b be i(5). Calculate d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3.5, 9\/4, -2\/31, -12 in descending order.\nAnswer: 9\/4, -2\/31, -3, -3.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -5. Let w = o + 46. Solve -w = 3*b - 3*j, -7*b = -3*b + j + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 3 - 9. Let v be 15148\/(-2640) + 6 + 4\/(-16). Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u**4 - 2*u)*(3*u + 4*u - 5*u) - 2*u**5 - 3*u**5 + 6*u**5 + (-1 + 1 - u**3)*(-u**2 + 0*u + 0*u).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1075 + -853. What is the highest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-116)\/(-56) + 80\/(-140))*20. Solve -s*w - 20 = -26*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) 3\/4 (c) 1\/2 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9956, -11223, -12490, -13757?\nAnswer: -15024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701505.\nAnswer: 5, 13, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n - 4*z, 4*n - 11 = 3*n + 4*z. Let q = -1 + 1. What is the remainder when 17 is divided by (q + 10)*(-3)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 6*x**4 - 2*x**4 + (-2*x - 3*x + 4*x)*(-2*x**3 + 0*x**2 + 0*x**2).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56641212 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -82, -265, -614, -1183, -2026?\nAnswer: -3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3957*g + 23722. Give q(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from ddddddydddyydy.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)*l*l**(1\/4)*(l*l*l**(-2\/7)*l*l)**(-36))**(-11))**(-29) assuming l is positive.\nAnswer: l**(-296351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30809754 (b) -3\/7 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -98, -196, -294, -392?\n\"Answer: -98*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 = 3. Suppose 58 - 52 = 6*w. Which is the third smallest value? (a) w (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24967 and 0.2.\nAnswer: -24966.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 5 - 2*d**2 + 4. Let p(q) = -q**2 + 15*q - 2. Let l be p(15). Determine i(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 16. Let t(v) = -v + 15. Let w = 9 - 15. Let x(q) = w*t(q) - 5*n(q). Let j be x(11). Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(320) + 2 - sqrt(320)) + sqrt(320))*-5 + -4)**2*-4.\nAnswer: 26880*sqrt(5) + 196704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, z: 1, p: 6}. What is prob of sequence pmw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 339. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 56\/8)*-16563. Suppose 18*u - 4317 = o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -1\/5, 3\/2, 2\/15, 1\/634, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33532101 and 666?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1747 (base 8) to base 16.\nAnswer: -3e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 8*d**2 + 11*d + 13. Let v(k) = k**3 - 4*k**2 - 6*k - 7. Let a(g) = -3*m(g) - 5*v(g). Let r = -370 + 374. What is a(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 + a**2 + (3*a - a - 3*a)*(-2 + 2 - 2)*(3*a - 27 + 27))*(-1 - 9 + 2)*(3 - 3 - 7).\nAnswer: 392*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let b = -37 + 49. Let r(k) = b*k - 12*k - 18*k**2. What is r(x(v))?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) 3\/8 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -2*k - 1270. Find the common denominator of k\/30*10\/28 and -109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v - 41*v + 32*v)*(-v**3 + 2*v**3 + v**3).\nAnswer: 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57312.89 micrometers in kilometers?\nAnswer: 0.00005731289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**8\/42 - r**5\/60 + 10*r**2. Find the third derivative of y(k) wrt k.\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1505488 and 21\/720016.\nAnswer: 16560368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:38 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150876320 by -368.\nAnswer: -409990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-125)\/175)\/(3\/(-42)). Solve 3*m + 8 = -2*r + 2, 4*r - l = 5*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12704131373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*q - 24*q = -3107 - 234 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*b - 5, 0 = -4*h + h - 4*b + 3. Suppose -y = -5*m + 55 - 46, 5*m = 15. What is the nearest to -1 in y, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/1)\/(4\/(-8)). Suppose -v = 2 - r. Let y(m) = m**3 - m**2. Let i be y(v). Solve -2*u + i = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (32 - 4) - (5 + 1 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 + -184. Put 0, 4, q, 3 in decreasing order.\nAnswer: q, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 - f + 10. Let u be o(5). Suppose -19*c - u = -14*c. Sort -4, c, 1, 5 in decreasing order.\nAnswer: 5, 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*-5*(-3)\/(-15)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + (-16)\/6. Let s(u) = -2*u - 1. Let l be s(m). Suppose 0 = -l*q + 5 + 16. Solve -3 = 4*j - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/2 - 147*p\/2 - 2565 = 0. What is p?\nAnswer: -90, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-10\/9)*u*u)*u\/(u*u*u*u\/(u\/((u*u**(-2\/5)*u)\/u*u))*u)*u)**(-12))**(-3) assuming u is positive.\nAnswer: u**(-628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s + 1. Let n(f) = f. Let a(y) = -i(y) + 2*n(y). Calculate the lowest common multiple of a(-1) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002219 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5966763?\nAnswer: 3, 11, 180811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*4*5 + sqrt(204))\/(-4*sqrt(1452) + sqrt(1452) - sqrt(1452)) + 2.\nAnswer: -21*sqrt(17)\/44 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -14*u + 640. Calculate z(73).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -602 + 446. Let l = -32 - m. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.041 + 59. Which is the second biggest value? (a) -3\/7 (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-28)\/(-10)) + -1. Let l = 3.1 + -3. Let h = l - 4.1. Sort f, -2\/5, h in increasing order.\nAnswer: h, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*z - 0*z + 22, -25 = 5*z. Suppose v*t = -7 + 70. What is the highest common divisor of 231 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*q = -4, -3*f + 3*q - 15 = -0*f. Let l be (2\/f)\/((-4)\/48). Suppose u = -u + l. Sort u, 1, -1 in decreasing order.\nAnswer: u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/28660280 and -61\/11660.\nAnswer: 28660280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1 + 4 + -3 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4757 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(3 - 8)\/(-1). Suppose 7*p - 12 = r*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13476 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 1788 = -12540. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -x - 3*d, 2*d = -3*d - 25. Let h(m) = -m**2 - m + 3. Let o be h(x). Let b(k) = k**2 - 5*k + 6. Let u be b(4). Put u, -3, 3, o in ascending order.\nAnswer: -3, o, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 0 (c) 251 (d) 5\/3 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -24. Let t = -105 - -174. Let k = -64 + t. What is the third smallest value in -0.14, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1268, -5073, -11416, -20297?\n\"Answer: -1269*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-9 + 19 + -18). Solve 529*t + 3*w = 533*t + b, -4*t + 1 = 5*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (-1*sqrt(171) - sqrt(171)))\/sqrt(9))**2 + 0 + -2 + sqrt(19).\nAnswer: sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59604*b = -59624*b + 400 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3 - 45*n**2 + 132*n = 0.\nAnswer: 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7892 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 483*w**3 - 2*w**4 + 11*w**2 - 245*w**3 - 2*w + 0*w**4 - 235*w**3 to b + o*w**4 + h*w**2 + z*w**3 + t*w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a factor of 9622524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 3. Let i = 1 + -1. Suppose -c = 4*g - 2*c - 12, 5*g - 2*c = 15. Suppose i = g*f - 6*f. Determine h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/139113 + 78175\/684864. What is the common denominator of y and -17\/64?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 2, r: 4, l: 1, f: 2, z: 3}. What is prob of sequence znz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/11 + 30*y**3\/11 - 126*y**2\/11 + 98*y\/11 = 0. What is y?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -4. Suppose 3*g + 17 = 4*c, -2*c - 10 = -3*g - 11. Calculate the smallest common multiple of f and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7208487*w**2 - 3871081 wrt w?\nAnswer: 14416974*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -13. Let z = -8 - t. Which is the biggest value? (a) 1 (b) z (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from btatbaptappaotpb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Suppose -5*y + 41 = -0*y + 4*c, -c = -4. Solve y*w = 2*r - 8, -v*w - 9 - 3 = 4*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 74*p - 49. Let u be v(4). Find s, given that -u*s**2 - 17*s + 8 + 7*s**3 - 20*s + 266*s**2 + 3*s = 0.\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-15))\/((-12)\/30). Suppose 44 = -x*h + h. Let a = -39 - h. Solve -2 + a = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9089323 to the nearest integer?\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 967 + 1013 - 1912 to the form t + z*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.546 and 1.2.\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = 60. Suppose 3*q - 12 = 2*q. Calculate the highest common divisor of q and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 16. Suppose h = -4*c + 2*c - 4*o, -2*c + 6 = -2*o. Solve 1 = -l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3651*b**2 + 1200*b**2 - 4802 + 1437*b**2 wrt b?\nAnswer: -2028*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -0.2402 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/3 + 440*t**2\/3 + 1255*t\/3 - 1700\/3.\nAnswer: 5*(t - 1)*(t + 4)*(t + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 189427.8424 rounded to the nearest ten?\nAnswer: 189430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 7. Let a be (20\/h)\/((-12)\/(-45)). Let w = -12 + a. Which is smaller: w or 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - a085?\nAnswer: -a037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + p - 1)*((3 - 5 + 18)*(-4*p + p + 2*p) + 203*p - 41 - 33*p + 43) + p**2 - 5*p + 5*p in the form s*p + w*p**2 + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6967, -14012, -21057, -28102?\nAnswer: -35147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 446890015 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/(-5) - 6\/(-10). Put 0, c, 21 in decreasing order.\nAnswer: 21, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + sqrt(68) + sqrt(68)*-2 + sqrt(68)))\/sqrt(4) - ((sqrt(17) + -2)*2 - sqrt(17)))**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 279*l**2\/2 + 1292*l + 1152.\nAnswer: -(l - 288)*(l + 1)*(l + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14049 is divided by 589.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35489579857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**3 - 2*h**2 + 4*h - 3. What is x(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112\/5 - 241\/15. Find the common denominator of n and (-41)\/2*1\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-52)\/8)\/(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 546859013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 7, d: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h*h*h**(-5)*h)*h**(-4\/7)\/(h\/h**(-3)))\/(h**(-5\/7)\/h**(-2\/15))**(-40) assuming h is positive.\nAnswer: h**(-521\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(637) + 2).\nAnswer: 10 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let o(d) = 101111 - 101111 - 121*d**2. Calculate o(r(x)).\nAnswer: -484*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -891637?\nAnswer: 150\/891637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.3652 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/13 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.352683 to one decimal place.\nAnswer: 126.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*a - 8*w - 0*w + 96, 52 = -13*w for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55714 + -11?\nAnswer: 55703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*f + 20, 0 = -0*m + 2*m - 2*f + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z)*(3*z**4 - 6*z**4 + 4*z**4) - 3*z**5 + 2*z**5 + 0*z**5 + (z**2 - 4*z**2 + z**2)*(5*z**3 + 5*z**3 - 3*z**3).\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(-2) + ((-5460)\/(-120) - 47).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4))**(-23)*(o*o\/(o*o**3))\/o**(-1\/5))**(4\/9) assuming o is positive.\nAnswer: o**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 386, -0.3, -6253, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 7048128?\nAnswer: 21144384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -18*z + 126. Let y(p) = 79*p - 38*p - z*p + 7. Let g = -111 - -118. Calculate y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -109.13993 and 2.\nAnswer: -107.13993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n + n. Let k = 86 + -82. Suppose 234 - n = k*s. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/(-205) + (-101)\/(-5). Let g = 3 - 22. Let x = l + g. Is -2 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**5 + 189*x**4 + 870*x**3 + 297*x**2 - 390*x = 0. Calculate x.\nAnswer: -26, -5, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/10 + 496188\/1872640 and -41\/114.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13425953 to the power of 1\/2, to the nearest integer?\nAnswer: 3664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/72)\/(36\/108))\/((-130)\/8).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 37207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 15 + 201 = 0. Let m = s + -12. What is the remainder when 73 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/(-130)*(-10)\/12\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 529*l - 481*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(18*13\/(-936))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/12)\/((-23)\/(-92))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 526723?\nAnswer: -8\/526723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = t. Let n be 6\/t*(3 + -2) - 6. Let i(u) = u + 2. Let y(h) = -1. Give n*y(f) - i(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b**3 - 9*b**2 - 33*b + 33. Let f = 69 - 36. Let o(j) = -j**3 - j**2 - 4*j + 4. Let g(a) = f*o(a) - 4*y(a). Factor g(s).\nAnswer: 3*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 19 + 14 - 46 + 13.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 30910. Suppose -2*w = -10373 - f. Suppose 5*s + 242086 + w = 0. Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17936*c**3 + c**2 + 2262238*c wrt c.\nAnswer: -107616*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 448 = -l. Calculate the greatest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -3, -4 in decreasing order.\nAnswer: 17, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12092110 is divided by 368.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -21.7. Let y = 23.43 - t. Let z = -1.33 + y. Which is the nearest to z? (a) -4 (b) -4\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/235, -3, -0.16?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 16 - (1 - 6) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0 + 0)*(123 - 368 + 122 - 1952*t + 122) as s*t**2 + h + u*t and give s.\nAnswer: -1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 3138*n + 481899.\nAnswer: 3*(n - 859)*(n - 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -497 - -3069. Suppose 4*k - 3189 = -5*m, 4*m + 0*m - 2*k = p. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19171*a**3 + 23499 wrt a?\nAnswer: -57513*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-7)\/(14\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 710889393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 4*y**3 + 7*y**3 - 6*y**2 - y**3 + 2 in the form v + i*y + w*y**2 + j*y**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3510097s in minutes?\nAnswer: 0.039183495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:43 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -20. Let f(a) = -2 + 4*a - 3*a + 7*a + 2*a**2. What is the tens digit of f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 17*c = -1. Put c, 0, -5 in decreasing order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/5, 2, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*d - 52*d**5 + 199*d - 3*d**4 + 54*d**5 wrt d?\nAnswer: 40*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k + 93*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108*g**3 + 14*g + 4954 with respect to g.\nAnswer: -324*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 71*r - 6. Let s be t(2). Suppose -4*g + 48 = -s. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 5*v. Suppose -4*f + v*f - 3*j + 6 = 0, f - 5*j = 16. Suppose 11*k = f*k - 100000. Round k to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -428\nAnswer: 3\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9306 divided by -517?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 33*i.\nAnswer: i*(i - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 5.3. Let p = -2\/121 + -109\/726. What is the closest to 0.1 in q, p, -5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11*g**2 + 3*g - 70. Let i(s) = -4*s**2 - s + 26. Let m(o) = -8*i(o) - 3*w(o). Give m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*y = -5, 0*y = y + 1. Suppose w*j - 41 + 5 = 0. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -30.5. What is the closest to -1\/3 in 4, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 246, 705, 1160, 1611, 2058?\n\"Answer: -2*b**2 + 465*b - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(208) - (sqrt(208)*2 + sqrt(208))*2) - ((sqrt(208)*2 - sqrt(208))**2*-4 + -1).\nAnswer: -20*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 112. Let r be (-4)\/(-10) + f\/20. Let x be (-2 - r) + (-24)\/(-6). Solve 0 = x*b - 0*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*d - 0 - 7, -5*d + 5 = 5*t. Let h be t + 1 + 3 - 4. Let u be ((-4)\/(-6))\/(-4 - h). Which is the nearest to 0? (a) -2 (b) u (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - (-16 - -4)) + 4567\/(-913). Suppose 0 = -48*f + 16*f + 32. Are f and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182*-42421\nAnswer: -7720622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 7*k**2 + 6*k - 10. Let b be 3\/6*-2 - 6. Let x = 14 + b. What is the tens digit of w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-360)\/(-54))\/20)\/((-9)\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f + 10*f - 4*f to the form i + p*f and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h - 22. Let l be 242\/8*(-2 - h). What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 10*k**2 + k - 5. Let r be j(10). Suppose 3 = -4*h - r*s, 5*s + 17 = 4*h - 10. Solve 2*b = -5*x - 2, -h*x - 2*x = -4*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/(-413))\/(0 - 10\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1393 divided by 7\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 5, q: 1, a: 1, f: 2, z: 2}. What is prob of picking 1 f and 1 z?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, -1 in increasing order.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 0, 18, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -3*q + q, 5*q - 20 = -o. Suppose 8*f - 71 = 5*f + 4*c, o = f + 4*c - 29. Solve 3*w + f = 8*w, 3*l - 5*w + 16 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:51 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 66*j + 59. Give k(27).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, g: 1, u: 1, f: 3, k: 3}. What is prob of picking 1 k and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = 0, -s + 3*s - 30 = -5*f. Let u be (2\/s)\/(44\/55). Solve -1\/2*w**2 - u*w**3 + 1\/2*w + 1\/2*w**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (-80 + -1) - 33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:33 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 6*f**2 + f + 2 - f**3 + 1. Does 9 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*z - 220 = 808 + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187548544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 988091 divided by 3419\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*f - 265, f - 51 = -m + 4*m. Suppose -2*n = f + 504. Let u = n + 1962\/7. Is u at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6457 is divided by 1551?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25884.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/21 - 4512*h**3\/7 - 67780*h**2\/7 - 1017200*h\/21 - 80750.\nAnswer: 2*(h - 6783)*(h + 5)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -36 + 68 - 121?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/(-2)) + 1. Suppose -d*u = 4 - 16. Suppose -u*j = -9*j + 75. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.072 + -0.072. Let i = r + -86. Let k = i + 80.51. Round k to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 886650.2 micrograms?\nAnswer: 886650200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-40) + (-796)\/(-224) - 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -47. Let s = b - 15. Solve 2*t - s*l = 10, -l + 4*l = 5*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a8b57 (base 12) to base 15.\nAnswer: 6ca8ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60844 and 7628460.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v + 25*v - 3*v**3 - 67*v**3 + 19*v**3 - v + 17*v**3.\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/60 - -5*(159 + -154 + (-119)\/5).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235703159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121101 + 43523 = 14*v + 43230. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 13) in base 2?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = -n. Suppose -4 = -5*u + n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500958 is divided by 124899?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 + 2*w - 3. Let i(v) = -v - 1. Let g be i(2). Let d be f(g). Let u(a) = a**3 + 9*a**2 - 3*a - 13. List the prime factors of u(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 118. Let z be b(-27). Find the common denominator of -19\/30 and (47\/(0 - -1))\/(1 + z).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpaqqqppagpalga. What is prob of sequence pg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-15) + (-2)\/(-10). Solve -x*w = 4 + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 6. Let u be q(-5). Let r be (16\/(-6))\/(-2 - (-40)\/15). Which is the smallest value? (a) 4\/9 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*u - 11 = -4*u, 2 = -4*j + 2*u. Let a(x) = -394*x - 29. List the prime factors of a(j).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 - (16665\/(-198) - 15)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1805 + -1805. Let y = 21 + 6. Let l = y + -22. What is the nearest to k in -4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 2\/13, 7, 2\/101, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*((-130)\/20)\/13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -474320 in decreasing order.\nAnswer: -1, -2, -474320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -20.572 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y + 0*y)*(-9 + 7 + 8).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 123. Factor 0 + 0*j - 2\/3*j**t - 2\/3*j**3.\nAnswer: -2*j**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 11*r - 3*r + 3 + 2*r**2)*(13*r - 13*r - 40*r**2 + 36*r**2).\nAnswer: -8*r**4 - 12*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520) - (sqrt(520)*-3*-3 - sqrt(520)))\/sqrt(10))\/((sqrt(64) - -2*sqrt(64))*-6) + 4.\nAnswer: 7*sqrt(13)\/72 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*x + 14 - 150 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*u + 5*u - 5696 = 5092. Is -472\/5 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1*(-23 - -21). Let n(s) = -12*s - 2. Calculate n(g).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, 67, 46, 23?\n\"Answer: -p**2 - 16*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3677 is divided by 1434?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/(t\/((t\/t**18)\/t)))))\/t**(2\/23))\/(t*t\/t**(-19)*t**(-4\/11)))**(6\/5) assuming t is positive.\nAnswer: t**(-57264\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*p = -33049984, -4*p - 151 + 135 = 0. Round g to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/(-6006) - 121\/78?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0 + 5. Let r be 384\/(-56) - t\/7. Suppose 2*m - 7 = -1. Let o(v) = 2*v - 11. Let p(b) = b - 5. Determine m*o(z) + r*p(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 58524089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1375*o**2 + 2772*o**2 - 1834*o**2 + 3 in the form k*o**2 + j + c*o and give k.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746878 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1590165, -4, 13 in ascending order.\nAnswer: -1590165, -4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 + 2774*z\/9 - 29788\/3.\nAnswer: -2*(z - 1354)*(z - 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/4))\/n**(-9))**30 assuming n is positive.\nAnswer: n**(615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1515)\/70 - 830\/2324?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = 0, 27*b + 32 = 4*j + 24*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/85 and (-6)\/(-45) - (64805\/(-2550))\/13.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*u + 71 + 28 + 132 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.1, 5\/2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f + 30*f - 32*f + 5*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -11 - (35 - 4 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619690.\nAnswer: 2, 5, 31, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 + 1050*u**3 + 7685*u**2 - 19530*u = 0.\nAnswer: -9, 0, 2, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(10\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {d: 1, f: 1, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 3. Let o = -5 - -5. Let s be n(o). Let w(g) = -4*g - g + s*g. Let z(d) = d. What is z(w(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*c + 252*c + 6 = 496*c. Calculate the smallest common multiple of c and 87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-616)\/(-12) - (-5)\/(-15). Is s + (-3)\/(-4)*(-6 - -2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 801 + -657. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14570 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 + 10 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -11. Let q = -165\/4 + 41. Which is the nearest to q? (a) -4 (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = p. Let k(y) = 20*y. Let o(u) = 4*u. Let s(w) = -2*w - 4*w - 5*w - 24 + 9*w. Let n be s(-4). What is n*o(v) + p*k(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*h**2*u**4 - h**2*u**3 + h**2*u + h*u**2 + 12*u**2 wrt u.\nAnswer: -696*h**2*u - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:50 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-83)\/(-2))*1*-2?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 13*f + 5 + 2. Let j(w) = -w**3 + 2*w**2 + 6*w + 3. Give j(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15104704 divided by 34\nAnswer: -444256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(((o**2\/o)\/o*o)\/o*o))**11*o**(2\/7)\/o**(-5\/2))\/(((o\/(o*o*o**3))\/o**(4\/5))\/((o\/o**5)\/(o\/(o*o*o**3\/o*o)))) assuming o is positive.\nAnswer: o**(1301\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7408*g**3 - 3700*g**3 - 3707*g**3 + 253*g**2.\nAnswer: g**3 + 253*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -38*w**3 + w**2 + w + 3. Let t be q(-3). Let r = 15436\/15 - t. Calculate the common denominator of r and 101\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 15. Let x(i) = i**2 - 9*i - 16. Let o be x(11). Let p be d(o). Suppose -p*k = -14 + 2. Solve -m - 20 = k*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewefaefasfwaeaaef. Give prob of picking 2 w and 1 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 43. Suppose -3*u - 19 = -k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 73 - 80 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1499 divided by 4.\nAnswer: -1499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.472682 to one dp.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243\/5 + 48. Let q = -43\/55 - z. What is the nearest to 1\/3 in 2, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3544 (base 12) to base 3.\nAnswer: 22011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142994587 take away 0.01?\nAnswer: 2142994586.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2. Let g(q) be the second derivative of -q + 5 - 5\/6*q**3 - 1\/3*q**4 + 0*q**2. Calculate g(t(l)).\nAnswer: -4*l**4 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t - 3. Let b be v(4). Suppose g - 7 - b = 0. Solve -3*r + 7*r - g = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 0.1, -5\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16*2\/9)\/((-96)\/720)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 255, 778, 1655, 2886, 4471, 6410?\n\"Answer: 177*r**2 - 8*r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202693?\nAnswer: 23, 52291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -7?\nAnswer: -115\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*k + 16, -4*c - 8 = -0*k + k. What are the prime factors of 6\/k - 362\/(-4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -112305?\nAnswer: -112304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 18*t**2 + 65*t - 47. Let u be b(21). Let h = 9 - 13. What is the second biggest value in h, u, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.254338um in meters?\nAnswer: 0.000004254338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26190506?\nAnswer: 2, 17, 770309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 12 = f - 9, -4*f + 4*h - 1066 = -1054 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*h*q**4*u + h*u + 7*q**4 + q**3*u - 4*q**2 + 2*q + 13*u wrt q.\nAnswer: -552*h*q*u + 168*q + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -444 divided by 3\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 8100?\nAnswer: 251100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247*-5.\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7312 - 7317. What is the closest to f in 2, -2\/9, 977?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -28*n + 30*n. What is the remainder when 133 is divided by n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130993 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*l**3 + 4 + l**3)*(8101 + 1888 - 44)*(-2*l**2 + 0*l + 0*l).\nAnswer: 59670*l**5 - 19890*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*s - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-5) - 68\/16. Let c(o) = o - 18. Let t be c(16). What is the second smallest value in f, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*d - 31. Sort d, -3, 0 in ascending order.\nAnswer: d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (100\/(-6))\/((-55)\/2805). What is the highest common divisor of 34 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4675\/(-550))\/(1\/2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -57*m + 4. Give c(1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - h - h - 1 + 6*h - 5*h + 2*h + (3*h - 3*h - 2*h)*(-2 + 1 + 0)*(9 - 5 + 4).\nAnswer: 17*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -8 + 3 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10200312301 + -13?\nAnswer: -10200312320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**2 + j + 1. Let i be l(-4). Let u(q) = q - 8. Let f be u(11). What is the greatest common factor of f and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000309640019 rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(6\/(-9) + 0). Suppose 3*l - 3*k - 42 = 0, -4*l - g*k + 26 = -0*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.4, -0.5, 9\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 2*c**2 - 3*c + 4. Let p be v(-3). Let w = 4 - p. Suppose w = 5*a + s - 2*s - 265, 5*a - 4*s - 265 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/10)*(b**(2\/9)\/b)\/b)\/(b**(2\/9)*b**(-1\/6)) assuming b is positive.\nAnswer: b**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2424?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14031\/4 + 3513. What is the common denominator of -55\/36 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 9*d**2 + 11*d + 11. Let c be k(-10). Let x be 5*(-7)\/(105\/(-9)). Solve x*v = -2*f + 5, -5*v - f + c = -5*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + 29. Suppose 6*w = 2*w. What is the units digit of (h\/(-7))\/(9\/(-42)) + w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 + 4*q - 7. Let b(x) = -12*x**2 + 3*x - 6. Let n(r) = 6*b(r) - 5*j(r). Give n(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 906848, 3627398, 8161654, 14509616, 22671284?\nAnswer: 32646658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 10*f**2 - 12*f - 11. Is v(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*r + 33*j**3 + 29*j**2*r + 2*j**2 wrt j?\nAnswer: 6*r + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -157, -211, -333, -553, -901, -1407, -2101?\n\"Answer: -5*p**3 - 4*p**2 - 7*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 2*c**2 - c**2)*(-35*c - 46*c + 83*c - 1 - 16*c**2) as q + o*c**4 + i*c**3 + z*c + k*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/139, 0.5, 3, -2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let w(l) be the second derivative of 1\/2*l**2 + 0 + 0*l**3 + 5\/24*l**4 + l. Let n(y) be the first derivative of w(y). Give n(j(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) + -3*sqrt(156)*-2))\/sqrt(12)*-2 - ((sqrt(52)*-2 + sqrt(52))\/sqrt(4) - 3*sqrt(52))) + -5.\nAnswer: -5 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 1)*(-493 + 285*p**3 + 493) as t*p**3 + r*p + u*p**2 + o and give t.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = -41. Let q(j) = 77. Let n(p) = -p + 381. Let k(s) = n(s) - 5*q(s). Determine k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 87\/2*(0 + -4). Let p = -109 - m. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10388569.4 rounded to the nearest 100000?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 - f + 3. Let n be z(0). Suppose -15 = n*m - 42. Suppose -m*x + 46 = -107. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2573*v - 2568*v + 5*k - 30 = 0, -2*k + 8 - 8 = -v + 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2023332210303 - 11?\nAnswer: -2023332210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 6*m**2 + 4*m**2)*(83*m**2 - 17*m + 17*m).\nAnswer: -249*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16289)\/(-46540))\/(42\/900)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0 - b**2 + 8 + 107*b - 115*b. Give l(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512771 and 1736.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1951*y. Let z(s) = -364*s. Determine z(k(m)).\nAnswer: 710164*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f*f**19)*f)*f)*f*f)\/(f\/(f*f\/f**21)*f)*f**18\/f*f*f*f\/f**10 assuming f is positive.\nAnswer: f**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*1\/2 - 2. Suppose -j = h - 27. What is the smallest common multiple of 6 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 9*o**2 + 10*o - 17. Let s be q(8). Let k be (3 + (s - 0) + 1)*1. Let -2*w + 18\/5*w**2 + 0 - 2\/5*w**4 - 6\/5*w**k = 0. What is w?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 42, -19, 1, -5, 6 in increasing order.\nAnswer: -19, -9, -5, 1, 4, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*p = 16, -1690*h - 18 = -1695*h - 2*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532229 - 175523 = -4*v. Suppose 55488 = 7*r + v. Round r to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**3\/6 - w**2\/2 + w + 1. Let b(m) be the first derivative of i(m). Suppose 140 = 3*c + 152, -c = -u. Give b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 48. Suppose i*f = 28*f + 169. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -668811 (base 9) to base 7.\nAnswer: -3254422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1739.17 - 0.1.\nAnswer: 1739.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1368 - 1329. Calculate the remainder when 129 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 47*l**2 + 52*l + 4231. Calculate p(-46).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 22*s**2 + 27*s + 277. Let l be i(20). Suppose -c + 3*v + 14 = 0, 2*v + 10 = -2*c + 3*c. Solve 3*a - 9 = -c*u + 5, 0 = u + 4*a - l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63970 (base 10) to base 8\nAnswer: -174742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.2914 years in millennia?\nAnswer: 0.1262914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 254 + -796\/3. Find the common denominator of 31\/2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (sqrt(1300) - (sqrt(1300) - -1*sqrt(1300))) + sqrt(1300) + (-3 + (sqrt(1300) - (sqrt(1300) + -4)) + sqrt(1300) - sqrt(1300)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19389 - 19531. Let w = 139347457032.000000502 + -139347456890. Let z = w + i. Round z to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(24\/1)*(-10)\/5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 16*m**2 + 10*m - 21. What is j(16)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 4*t - 3*t)*(-67 - 38 - 77 - 3 + 2 + 2 + (-2 + 2 + 2)*(-2 + 4 + 0))*(-6 + t**2 + 6) to the form f*t + v + r*t**2 + i*t**3 and give i.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6 - 1)*2. Let f(j) = j**3 + 26*j**2 - 25*j + 67. What is the remainder when 0\/(-1) + 49 + c is divided by f(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -219.9 and -128.\nAnswer: -347.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s + 82 + 158 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v - 8. Let x be z(8). Does 4 divide ((-8)\/5)\/(16\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 1. Let v = -3.9 + 2.9. What is the biggest value in l, -5, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 454 - 415 - (1 + 9 - 3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 13*o = 45. Suppose o*z - 14*z = 15. Suppose -14 = 5*l - 2*g, -g - g - 2 = -l. Sort -2, z, l in ascending order.\nAnswer: l, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 61*d - 266. Calculate the least common multiple of 324 and b(-22).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + (-2)\/(-6)*0. Suppose 4*g - a*g = -110. What is the lowest common multiple of 10 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + q**4 - q**4)*(29 + 29 - 21).\nAnswer: 37*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**2 - 4236530*s - 8473080 = 0?\nAnswer: -2, 847308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -3\/5 (c) -76\/3 (d) -0.4 (e) -2 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/3 + 7*q - 1. Let i(j) = -8*j**2 + j + 5. Let a be i(0). What is the units digit of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 - 1 = 0. Let o = 314 - 161. Suppose q*v = o + 67. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 112079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 153, 174, 11, -426, -1227?\n\"Answer: -15*v**3 - 2*v**2 + 132*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 482, 725, 968?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 - -136. Let l(z) = -10*z + c*z + 8 + 4. Give l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 6*r + 27 = 3*r. Let a(l) = l**3 + 9*l**2 - l - 6. Let s be a(r). Solve y + 5*i = s, 0 = 4*y - b*y + i - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -166*j - 31. Let a be u(-7). Let x = -735 + a. Let g = x + -283. What is the remainder when g is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.117 + 986.117. Sort -1, 4, l.\nAnswer: -1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321 - -3332?\nAnswer: 12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*t = -225, 21*u = 22*u - 4*t + 15. Which is greater: -45 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -169*x - 173*x + 339*x. Let i(n) = -12*n - 21. Let k(c) = 3*c + 5. Let p(j) = 3*j - 1. Let v be p(2). Let b(o) = v*i(o) + 21*k(o). Calculate m(b(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 7 = -4*f - 15, -f = -4*x + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 300*y**2 + 463*y - 138898. Determine r(300).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -84, -38, 3, 38, -3 in decreasing order.\nAnswer: 38, 4, 3, -3, -38, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12976020401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:12 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 852785137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 9*o = -o. Solve 3*s - 2*m - 11 = 5, o = m + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**1)**(-6\/7))**(-11\/2)\/((o*o**1*o)\/o**(1\/2)*(o**(1\/2))**(1\/20)) assuming o is positive.\nAnswer: o**(3253\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423647057?\nAnswer: 113, 131, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47351*r**2 - 3586*r wrt r?\nAnswer: -94702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*2*(sqrt(187) + -5*sqrt(187))\/sqrt(11))**2 - (sqrt(425) + sqrt(425)*4 + -4)*-2).\nAnswer: 100*sqrt(17) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*s = -410798 + 1290521. List the prime factors of s.\nAnswer: 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -21) + -34 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6126\/(54\/9) + 0.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3236 + 3*r - 3230 - 3236 - 3236 + 12947.\nAnswer: 3*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2207*f - 500. Let z be k(5). What is the greatest common factor of z and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/8 + (-10)\/(-40). Let p be (9\/(36\/(-16)) - -5) + -16. Sort 3, c, p in ascending order.\nAnswer: p, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4 + 5*q**3\/3 + 5*q**2 - 2*q + 10. Let k(a) = -5*a**3 + 5*a**2 + 13*a - 2. Let r(g) = -4*j(g) + 3*k(g). Determine r(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m + 4*r - 31, r - 43 = -m. Solve 20*p + 7 = m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 32*j - 16156. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6545 - 68*h - 6545 as o*h + d and give o.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-28))\/((-1)\/((-84)\/7)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83843 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - -2.9. Which is the closest to 0.1? (a) y (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 628974\nAnswer: 4\/314487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32083943 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -744066, -1\/4 in decreasing order.\nAnswer: -1\/4, -2, -744066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000198 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132978 = -131*o + 129048 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 92, 221, 472, 887, 1508, 2377?\n\"Answer: 7*n**3 - 2*n**2 + 6*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 14}. What is prob of picking 3 s?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22554228379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4075 = 4*p + 595. What is p rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(1300))**2 - sqrt(1300)) + 0.\nAnswer: -50*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 0 in ascending order.\nAnswer: -13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -1627, -3687, -6571, -10279, -14811, -20167?\nAnswer: -26347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*x**3 - 13*d**3*x**2 + 28*d**3 - 27*d**2*x**3 - 9*d**2 wrt d?\nAnswer: 6*x**3 - 78*x**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/33*(-4)\/28*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 93177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.3 (c) -6\/19 (d) 2 (e) -6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145585 and 105880?\nAnswer: 1164680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3933, 3, 0, 2, 2\/11, 0.3, 448 in ascending order.\nAnswer: -3933, 0, 2\/11, 0.3, 2, 3, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4303263, 4303264, 4303265, 4303266, 4303267?\nAnswer: 4303268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 + 5 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22508.0000048694 - 22508. What is t rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -703\/7 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.7956392 months?\nAnswer: 0.1496366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:33 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (sqrt(5) - (sqrt(80))**2)*-1 + (sqrt(480)\/sqrt(3))\/(sqrt(8) - sqrt(8)*2) + -1.\nAnswer: -3*sqrt(5) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 91 = 205. Let c = 250 + u. Let s be 66\/(-3)*-1 - 0. Calculate the greatest common factor of s and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-13) + (-779)\/247. Let x(w) = -w + 1. Let v(t) = -1. Suppose 0 = 3*b - 4*b - 3. Let m(f) = b*x(f) + r*v(f). Let k(o) = 5*o. Calculate m(k(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.6 - -31. What is the closest to 1\/3 in -1\/5, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2*q - 11. Suppose 5*w + 4*f = 32, -5*w + f + 38 = 2*f. Is u(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from {z: 7, k: 9, m: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 712 + 753. Let k = -668 + u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 1080*r**4 - 3*r + 1088*r**4 + 1085*r**4 - 4347*r**4 - r**3 - 42 + 1082*r**4 to the form n*r**2 + a*r**4 + u*r + i*r**3 + v and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/25*15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/8 - v**5\/30 - v**4\/24 + 2*v**2. Let n be d(-1). Suppose -w + 2*a + 6 + n = 0, -2*w - 5*a = 5. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -53. Suppose -5*z - 22 = -n - o*z, -2*n = -3*z. Find the second derivative of -d**3 + n*d**3 - 3*d**3 - 15*d - 1 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 448, 1857, 4242, 7603, 11940?\n\"Answer: 488*j**2 - 55*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210359, 421202, 632045, 842888?\nAnswer: 1053731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/1*3251*(2 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183.08 - 181.5868. Round q to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2098967 and -26.84247.\nAnswer: 2098940.15753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 11*k + 29. Calculate the remainder when 21 is divided by t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26577, 53140, 79693, 106242, 132793, 159352, 185925?\nAnswer: 212518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1232022 (base 5) to base 3\nAnswer: 1012221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d - 4. Let c(l) = 11*l - 6. Let h(p) = p**3 - 3*p**2 - 12. Let q be h(4). Let z(t) = q*k(t) - 3*c(t). Let x(i) = 2*i. Calculate z(x(u)).\nAnswer: 14*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189405359?\nAnswer: 11, 13, 1324513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/124079328 and -131\/341218152.\nAnswer: 1364872608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1)**2 + 4 + (-4*(sqrt(171) - (sqrt(171) - (sqrt(171) + 2))))**2.\nAnswer: 192*sqrt(19) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 45. Let f be b(-7). Suppose f*m + 2712 = 41*m. Suppose -158 - m = -9*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - o + 0*o - 11 = 0, g + 13 = 2*o. Let l be 2\/g - (-2)\/7. Suppose -463*y - 286 + 1675 = 0. Sort l, 4, -3, y in decreasing order.\nAnswer: 4, y, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 3?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66863, 66862, 66861, 66860, 66859?\n\"Answer: -g + 66864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -369*r + 2. Let g be w(-1). Suppose -g = 5*v - 956. Suppose -v = -2*m + 5*h, 2*m - 7*m + 261 = -2*h. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6004 by 1501.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 828\/343 or 3?\nAnswer: 828\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -189642 times -17.6?\nAnswer: 3337699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 499*g**2\/3 - 99533*g\/3 - 18592021.\nAnswer: (g - 327)*(g + 413)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 702966104.\nAnswer: -702966101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(225)*-2).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 1. Let q(k) = k**2 + 12*k + 7. Let y(u) = -q(u) - w(u). Let c be y(-10). Differentiate -4 + 0*a**4 - 8*a**4 + c*a**4 + 5*a**4 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*j - 64, 8*k + 3*j + 72 = 140 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 7*l**5\/20 + l**4\/12 + 2*l**2 + 17*l. Find the third derivative of n(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-2)\/(-4) + 85\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/12)*x*x*x\/x**(-4\/5)*x*(x\/(x\/x**(-2\/7))*x*x)**(10\/3) assuming x is positive.\nAnswer: x**(4451\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - c - 2908 = 3*n - 2864, 4*c - 3*n = 56 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -23*f**4\/24 + 67*f**2. Let h(z) be the third derivative of -z**4\/12 - z**2. Calculate x(h(d)).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-2\/15)*v**1*v**(15\/7)\/v**(-3\/5) assuming v is positive.\nAnswer: v**(512\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 - z**2 + 3*z + 34*z**3 - 35*z**3 + (-2*z - z + 0*z)*(0*z**2 + 3*z**2 + 0*z**2).\nAnswer: -10*z**3 - 4*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/2 + 1701*d**3\/2 - 1699*d**2\/2 - 1701*d\/2 + 850 = 0 for d.\nAnswer: -1, 1, 1700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*r + 28 = 0, -3*r = -4*h - 6*r + 59. Calculate the highest common divisor of 153 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = 2*n, n = 2*k - 0*k. Let r = -1 + 4. Let h be (-6)\/(-21)*7\/r. Which is the second biggest value? (a) n (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56447 * 3065.\nAnswer: 173010055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = -24*q + 34*q. What is the highest common factor of q and 3564?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4884, -2, -5 in increasing order.\nAnswer: -4884, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w - 4*y, -3*w + 12 = 5*y - 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-238)*-1)\/((-4)\/14).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 705, 371, -529, -2277, -5155, -9445, -15429, -23389?\n\"Answer: -47*d**3 - d**2 - 2*d + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5))**(-4\/3)\/(u*u**(10\/7)*u**10) assuming u is positive.\nAnswer: u**(-463\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30514853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9294 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2501388 and 35775.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 5. Which is bigger: q or -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3*d - 15. Calculate j(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 282\/(-30) + 3\/(-5). Let s(d) = d**3 + 11*d**2 - 5*d - 6. Let o be s(z). Calculate the greatest common divisor of 48 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 4.67?\nAnswer: -4.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, 19, 129, 345, 703, 1239?\n\"Answer: 6*w**3 - w**2 + w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 9:49 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, g: 8, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1249*2\/(-1*(-16)\/(-632)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*v + 6*v = 9, -s + 3*v = 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 8973326316.\nAnswer: -8973326316.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -4*n**3\/3 + 3*n. Let v(g) = -2*g. Calculate w(v(r)).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**7\/280 - n**4\/24 - n**3\/6 - n. Let h(p) be the second derivative of j(p). Differentiate h(w) with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 646 and 29237314.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 565957551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68056?\nAnswer: 2, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.50010838 - -38.5. What is d rounded to 6 dps?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + 42 = -3*g, -2*r - 4*g + 16 = 0. Suppose -f = -3*v + v - 24, 0 = -v + 2*f - r. Let q = v + 20. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56864734 is divided by 1504?\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 1, s: 1, u: 2, h: 12, v: 1}. What is prob of picking 1 m and 1 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22894*g**3 - 22456*g**3 - 4 - 2*g**2 + 42067*g**3.\nAnswer: 42505*g**3 - 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 22. Let y be b(-24). Calculate the greatest common factor of 250 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -29*o. Let u(m) = -4*m**2. What is u(q(x))?\nAnswer: -3364*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*b = -442*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let z(o) = -o. Give d(z(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 30. Let t be i(0). Let g = t - 17. Suppose -5*j + 32 = -g. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-32)*8)\/(7 - 6). Factor n**2 - h*n**3 - 5\/4*n + 1\/2.\nAnswer: -(n - 2)*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158331 (base 13) to base 6.\nAnswer: 15223553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11669186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v - 5*v**2 + 3*v**3 - 7*v**2 + 11 + 2*v**3 - 4*v**3. Suppose -5*h = -51 - 4. Let k be f(h). Put k, 2, -2 in descending order.\nAnswer: 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -51*z - z**3 + 71*z + 13*z**2 - 22 + 10 - 6*z**2. What is m(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12) + (-12 - (-6 + 3)) + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g = 4. Let p(b) = -g*b**2 - 55 + 55. Let q(y) = 8*y**2. Calculate p(q(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = -4*k. Let q be k\/(-8) + 1\/2. Is -1\/3 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 44. Let i be l\/(-6)*(-6)\/(-5). Suppose 0 = 2*w + 3*v - i, -v = 2*v. Solve -4*d + 5 = p, 0*p - w*p = -5*d - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6360 - 6090 - 155*g**4 - 186*g**4 wrt g?\nAnswer: -1364*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1485900 and 16510?\nAnswer: 1485900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 2033*y + 2023*y - 6*y**2.\nAnswer: -2*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*w + 2620 - 788 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 15*w**3 - 4*w - w**2 + 13*w**3 - w**2 - 3. Suppose -3 = -5*p + 27. Let g(v) = 14 + v**2 - 27 + v + 5 + 4 + v**3 + 5. Calculate p*g(d) + 2*a(d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1464, -4, -14598, -2.\nAnswer: -14598, -4, -2, 1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50063 or -50064?\nAnswer: -50064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39 - 30 - -32 - 41 - 15\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:16 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682806636 divided by -6?\nAnswer: -113801106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23557930 divided by 7.\nAnswer: -23557930\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - 2*z + 4*z + (-1 + 1 + 1)*(-1 + 1 + 2*z) - 2 - z + 2 - 21*z - 4*z - 92*z.\nAnswer: -118*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j - 1. Suppose g - 30 = -5*c, 0 = -0*g + j*g - 3*c - 28. What is the tens digit of ((-738)\/45)\/((-4)\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358197469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 5457*f + 232939. Give p(-42).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x + 0*x**3 - 1\/12*x**4 + 0 - 6*x**2 + 2\/15*x**5. Find the second derivative of i(t) wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314023.4 millennia to centuries.\nAnswer: 3140234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 - 660 = -2198*g + 2140*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10252 (base 11) to base 15\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -l - 26, 0 = -h - 2*h - 4*l + 17. Suppose 36*b - 37*b + 5 = 0. Calculate the remainder when h is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6204 divided by -11680\nAnswer: 1551\/2920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22835446 times 1.3?\nAnswer: -29686079.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -3*w - 64 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 56 + -79 - -54?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 6*u**2 + 35*u + 221. Let n = 129 + -208. Let v = 4 - n. What is the remainder when v is divided by c(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13\/4)*((i**(10\/7)\/i)\/i)\/i)\/((i\/(i*i**(-2\/33))*i)\/(i*i*i\/((i\/(i*i\/((i*i**15)\/i)))\/i)*i)) assuming i is positive.\nAnswer: i**(-13751\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-77)\/28)\/((-2)\/8). Solve -3*u + p*y = 32 + 8, 5 = -5*u - 4*y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/10 and 37\/2470.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/20 + 5*l**4\/12 + 23*l**3\/6 + 23*l**2\/2 + 10*l - 6. Is c(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppemxep. What is prob of sequence mep?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 3*u**3 - u**3 + u**3 - 2 - 21*u**2 as v*u**3 + f + r*u**2 + a*u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -21*r**5\/2 + 2151*r**4\/2 + 2319*r**3\/2 - 15183*r**2\/2 - 1149*r + 6516 = 0.\nAnswer: -3, -1, 1, 2, 724\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 1. Let i = -7 - -7. Let p(m) = -m + 2*m**2 + 6*m - m**2 + i*m. What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2 - 4) + -2 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let d(w) = 21*w - 2. What is b(q) + d(q)?\nAnswer: 20*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 15*m**2 + 5*m**2 + 16 + 38 in the form f*m**2 + k*m + d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -14.1027141.\nAnswer: -14.5027141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*b = 121*b + 26. What is the third biggest value in -7\/4, b, -0.4, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s + 631 = -1358 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 1021?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose -w*x = -x + 3. Let g(v) = -4*v**2 - v - 4*v + 3*v**3 - 4*v**3 - 1 + 3*v. Give g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 - q + 10. Let v be y(-4). Is 8 a factor of ((-160)\/(-12))\/(v\/6)*-16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 150\/41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -27*u**3 - u - 1. Let j(v) = 40*v**3 + v + 1. Determine -7*i(p) - 5*j(p).\nAnswer: -11*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368858.01 - -375616. Let k = -6555 + a. Let z = -204 + k. Round z to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 576, 584, 598, 618, 644, 676, 714?\n\"Answer: 3*v**2 - v + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppna when four letters picked without replacement from qypfqafqpqpnpa.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643122527?\nAnswer: 11, 37, 41, 233, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1587486 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.706\nAnswer: 3.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60587.\nAnswer: 43, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103593 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 13*z**2 + 3*z + 15. Let b be p(-13). Let f be 16\/7 + b\/84. Let x(i) = -i**2 + 12*i - 1. Let o be x(11). Solve -f*u - o = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 960*i**3 - 5923*i**2\/2 - 7754. Find the second derivative of o(x) wrt x.\nAnswer: 5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 20*a**3 + 1 + 26*a**3.\nAnswer: 38*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 9 = x, 0 = -2*x - 3*x - 3*z - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(259*(-12)\/420).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -14*s + 10*s + 5*q, 14 = 2*s - 5*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i + 36. Is 45\/2 + (-6)\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1413, -2823, -4233, -5643?\n\"Answer: -1410*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230888239 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from ctccctttcwtw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 62*b**5\/5 + b**4\/3 - 5*b**3\/6 - 76*b**2. Find the second derivative of q(y) wrt y.\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, s: 1, h: 2, f: 4}. What is prob of picking 1 s, 2 y, and 1 f?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -111. Let x(j) = -4*j - 5. Calculate the remainder when (t - -2)\/(0 - -1) is divided by x(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.2 (c) -2\/7 (d) -2 (e) 106 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 1) + -4 - (2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(6*(sqrt(96)\/sqrt(8) + sqrt(12))) - (5 + sqrt(2) + (sqrt(98) + -2)**2)) + 5.\nAnswer: -102 + 325*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 9*r**2 + 6*r - 5. Calculate f(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4 - l - 4 - 1. Suppose 5*i = 3*a + 27, 0*a - 35 = -5*i + 5*a. Calculate m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 639*m**4 - 17*m**5 - 532*m**4 + 3 - 179*m**3 + 371*m**2 + 181*m**3 wrt m?\nAnswer: -1020*m**2 + 2568*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 4, e: 7, v: 5, a: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 53 - 131 = 13*l - 80 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 248828357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 10. Calculate the remainder when 12 is divided by f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 17, -2, -43, 2\/3, 0.3, -0.3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - ((0 - 10) + (53 - (40 - 37)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 + 4*q + 6. Let n(k) = -3*k**2 - 3*k + 2. Let j be n(1). Let h(r) = 2*r**2 - 3*r - 5. Calculate j*h(t) - 3*v(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.07. Let o = -13.03 + 13. Let l = o - j. Which is the third biggest value? (a) l (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (89 + (-80 - 25)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103736053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - m - 5. Let y be (-16)\/(-10) - (-2)\/m. Is 1\/(-2) - (-63)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30427 - -54563. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-24))\/(-6*(-2)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5 + 73*p**3 + 65*p**2 + 2023470*p.\nAnswer: 20*p**3 + 438*p + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 11*q + 26. Let z be p(10). What is the highest common factor of 36 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.460951 rounded to 1 decimal place?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589896*t**3 + 46*t**2 - 7*t - 245.\nAnswer: 3539376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 7*z - 3. Let x be g(4). Solve m = -0*m + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099543074?\nAnswer: 2, 19, 137, 595379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -64539*k**3 - 2*k**2 - 17*k - 27. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 9:37 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463 - 1454*r**2 - 463 - 1297*r**2.\nAnswer: -2751*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose 149 - 144 = a, -5*a - 15 = -5*t. Solve y + t = d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/18*(-1)\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642380 divided by -5?\nAnswer: -328476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241382 and 758.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(55)\/(sqrt(5)*-1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7171 and 4.\nAnswer: 28684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*o**2\/2 - 725*o\/2 - 15.\nAnswer: 5*(o - 3)*(49*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16969019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 278895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1057 (base 8) to base 2\nAnswer: 1000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -16*b + 220. Let r(k) = -12 - b - 11 + 39 - k. What is r(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 1185*w**2 - 1190*w.\nAnswer: 5*w*(w - 238)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 7:46 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let r(x) = 6*x + 10. Let k(b) = b**2 + 9*b + 15. Let j be k(-6). Let c(p) = j*r(p) + 30*l(p). Let g(v) = -v**2. Give g(c(y)).\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 - -8 - 0. Suppose -5*u + y = -4. Let h be (75\/(-24))\/(-5)*8. Solve -h*j + 5*l = 5, 4*j + 0*l = u*l + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 5 + 88 + -176 + 67?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y + 2. Let u(q) = 2*q**2 - 2*q + 1. What is 3*r(l) - 4*u(l)?\nAnswer: -5*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3388) + -1 - sqrt(3388)) + (sqrt(3388) - (sqrt(3388) + -1)*2)**2 - (4*2*sqrt(14))\/(sqrt(16)\/(sqrt(24)\/sqrt(3))).\nAnswer: -96*sqrt(7) + 3395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 4. Let y = -370 + 374. Calculate a(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1047, -2443, -4765, -8013?\n\"Answer: -463*h**2 - 7*h - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/30 - 77*f**2\/2 + 68*f. Let u(x) be the first derivative of p(x). Let d(z) = 37*z. What is u(d(i))?\nAnswer: -2738*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1161 + 126626?\nAnswer: 131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-13 - -5)) + (24 - 15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.912 - 0.088. Which is the second smallest value? (a) 42 (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 2\/23, -4, -0.05, 658 in decreasing order.\nAnswer: 658, 2\/23, 0.07, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2327616 and 872856.\nAnswer: 6982848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7655*o**2*x**3 + 726*o**2*x - 9*o*x**4 + 98*o*x**2 wrt x?\nAnswer: -45930*o**2 - 216*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.71 and 1698?\nAnswer: -2903.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.33712 centuries in millennia?\nAnswer: 5.833712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/366 and 17\/2379?\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 2160?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10004.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = -2, 0 = 5*l + 2*w + 8. Let x = 12 - l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*h**2 - 123*h + 31347 wrt h?\nAnswer: -272*h - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1210504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + 6*z**4 + 5*z**4)*(2*z - 2*z - 2*z) - 2*z**2 - 2*z**5 + 2*z**2 + z**5 + 3*z**5 + 2*z**5 + (-2*z - 1 + 1)*(-4*z**4 + 0*z**4 + 5*z**4).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -14, -13, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46619 is divided by 46610.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 + 16 + 145*b - 4.\nAnswer: 145*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 78 (base 10) to base 13\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/95 - -471\/190. Which is the second biggest value? (a) -2 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 225.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3340, 11900, 25684, 44692, 68924, 98380?\n\"Answer: 2612*p**2 + 724*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5597\/40 + -1323\/10. Find the common denominator of q and 3*(-1 + 7\/(-10)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 66*m**2 + 321*m + 10. What is z(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27 - (133 + 58072\/(-306)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let q(c) = -7*c + 1. Let h(g) = q(g) + 6*w(g). Let t(j) = -2*j - 3. Let k(l) = h(l) + t(l). Differentiate k(a) with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 15*n**2 + 67*n**2 + 42 + 41 + 22.\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + b - 82 = 0, -2*o = -2*b - 11 - 17. What is the greatest common divisor of 5520 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-4*g**2 - 3*g**2 + 5*g**2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 303 - -3?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -42636\/12371 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6238713210?\nAnswer: 2, 3, 5, 17, 53, 230807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 8*v - 7 + 7 + 6*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1060.1 - -1060. Let p = 5 + 0. Which is the closest to 0.1? (a) y (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 - (-132)\/315. Let j be -2*(-2)\/(-8) - (-5 - 35\/(-7)). Which is the biggest value? (a) 5 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-14)*2*(-7)\/56?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58422216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199552?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 207*b - 1090. Give f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.475 rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 1032, 3, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -18. Let z be (-337 - -1)\/(-4) - m. Let i = z - 46. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 7. List the prime factors of (s\/(-4))\/(3\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7915329 is divided by 868?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -97. Let k(s) be the first derivative of 0*s + 17\/15*s**5 + 1\/3*s**2 + 2\/9*s**6 + 2 + 13\/9*s**3 + z*s**4. Determine r, given that k(r) = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 50*q - 154 - 33*q + 153 - 18*q. Let h(t) = -12*t - 12. Suppose -3*z = -5 + 2. Calculate z*h(d) - 10*f(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 19. Suppose -6*u = r*u - 80. Calculate the least common multiple of u and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -22*h**2 - 60*h - 1. Let v be z(-4). Let a = v - -115. Solve -i + a*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0377214 less than 1059713?\nAnswer: 1059713.0377214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 333965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:37 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Suppose -55 = -2*c + f*k, -4*c - 2*k = -4*k - 90. Solve c = 4*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6588 + -5995. What is the remainder when a is divided by 109?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4 + 3863*o**3 + 73874*o**2 - 450408*o + 372672 = 0.\nAnswer: -24, 1, 4, 3882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 70941, 116634, 162327?\n\"Answer: 45693*s + 25248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxhxxxhxxxhhxxxxh. What is prob of sequence hxh?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + -2 - (-1 + 3). Suppose 0 = z - u. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 4*f)*(-2*f**3 + 2*f - 2*f) - 2*f**4 + 3*f**4 - 2*f**4 - 21*f**4 - 9 + 9 - 4*f**4 - f**4 + 4*f**4 - f**4 + 1 - 1.\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093 is divided by 251?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 8. Suppose -g*s + 12*s + 10 = 0. Find the second derivative of -7 + 7 - s*x**2 + 9*x wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -718636?\nAnswer: 1\/179659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011000110010001 (base 2) in base 13?\nAnswer: 297b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -675*o**4\/2 + 2267*o - 395. Differentiate n(x) wrt x.\nAnswer: -4050*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 10*q**2 + 2*q**2 - 235 + 31*q**2 - 14*q**2 - 7*q**2 as l*q**2 + z + n*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 5:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*b**3*s**4 + 179*b**3 - 12*b**2*s**2 + 1220*b*s**4 - 4*b*s wrt s?\nAnswer: 2112*b**3*s + 29280*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 14*n - 9. Let i be h(13). Let v(l) = -4*l + 1. Let p be v(i). Let s = p + 24. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125.495743*4\nAnswer: -501.982972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.7 - 16. Let m = 3.7 - t. Let j = -2351\/13 - -181. Which is the closest to 1\/5? (a) 0.4 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 222, 891, 2020, 3621, 5706, 8287, 11376?\n\"Answer: 2*n**3 + 218*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34783010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75555581?\nAnswer: 53, 463, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 2, t: 2, q: 6}. What is prob of picking 1 f, 1 q, 1 p, and 1 t?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/61? (a) -3 (b) 5 (c) 4.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -881189 times 3\nAnswer: -2643567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d - 1. Let p be i(-3). Let h(y) = -y**3 + 3*y**2 + 11*y + 4. Let m be h(p). Suppose 2*z - m*z = 35. Sort 2, z, -3, 3 in decreasing order.\nAnswer: 3, 2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = -22. Let r be 6\/(-2) - l*1. Suppose -4*h = 5*n - 100, -2*n + r*h + 13 = 1. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 2411*n**3 - 303369*n**2 + 888381*n.\nAnswer: n*(n - 117)*(n - 3)*(n + 2531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 1812*p**2 - 3636*p + 1820 = 0. Calculate p.\nAnswer: -455, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2334774 - 51402.\nAnswer: -2386176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 728728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 3. Suppose 35 = 3*f + y*f. Suppose 2*g + 3*o = -0*o + f, 0 = 4*g + 2*o - 10. Solve -3*c = g*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(99) + 6*sqrt(99))**2 + sqrt(99).\nAnswer: -207*sqrt(11) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**3 - 604*c**2 + 200*c.\nAnswer: 4*c*(c - 50)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -224, -133, 36, 301, 680, 1191?\n\"Answer: 3*i**3 + 21*i**2 + 7*i - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -17.85?\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 1\/3*o**3 + o + 0 + 1\/3*o**4 - o**2 + 1\/20*o**5. Let g(l) = l**2 - 34*l + 250. Let h be g(23). Give d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (-22 - -25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2135 - 967. Suppose 7*o = 2*j + 3*o - q, 2*j - o - 1162 = 0. Suppose 0 = 3*b - 215 - j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Let b = 32 - m. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 - f - 1. Let x(o) = -12*o**3 + 7*o**2 + 11*o + 10. What is 22*l(a) + 2*x(a)?\nAnswer: -2*a**3 - 8*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 94 = -2*x, 5*c - 142 = x + 73. Let u = 125 - c. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -12.5. Which is the second biggest value? (a) t (b) 1\/3 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a*j*t**2 - 32*a*t**2 + 21*a - 3*j*t**2 - 1589*j + 2*t**2 + 4 wrt a?\nAnswer: -6*j*t**2 - 32*t**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924*f**3 + 1661*f**2 - 4967*f**2 + 1656*f**2 + 1650*f**2.\nAnswer: 924*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(280)\/sqrt(5) + sqrt(56) - -6*sqrt(168)\/sqrt(3))\/((sqrt(616)\/(sqrt(33)\/sqrt(3)))\/(-2*sqrt(21)\/sqrt(3))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 405 + -3239\/8. Let n be 14\/4*(-12)\/(-28). Which is the closest to 15? (a) -2 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157368 divided by -12?\nAnswer: -13114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - f + 5. Let b = 19 - 28. Let l be g(b). Suppose -z + l = 3*z. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -33124?\nAnswer: 33124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 + -166. What is the second derivative of 25*v**t - 34*v**2 + 34*v**2 - 94*v**3 - 64*v wrt v?\nAnswer: -414*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*n*q**3 + 7*n*q + n + 23*q**4 + 6 wrt q?\nAnswer: -90*n*q + 276*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.05 - 2.05. Let d = -2.8 + -0.2. Which is the biggest value? (a) w (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -407, -721, -967, -1145, -1255, -1297, -1271?\n\"Answer: 34*w**2 - 416*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*b**4 + 3*b**3 + 7*b**2 + 11*b - 2497161?\nAnswer: -64*b**3 + 9*b**2 + 14*b + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663.8929um in centimeters?\nAnswer: 0.06638929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4960400*n**2 + 435985*n wrt n.\nAnswer: 9920800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/9160 and 85\/5496?\nAnswer: 27480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/5*d**3 - 1\/5*d + 4\/5*d**2 - 1\/5*d**5 + 4\/5*d**4 + 0 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v - 768*v - 26324 = 516*v + 48311 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245 + -524. Suppose -4*d - a - 1607 = -486, 0 = 5*d - a + 1399. Is d greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107.06 - 108. Let m = 1.2 + l. Let s = 0.16 - m. Which is the closest to 2\/3? (a) s (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**2 - 5*c + 5. Let h be r(4). Suppose -3*v + 209 = -4*g, 4*v - h + 1 = 4*g. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/237061 and -13\/64653.\nAnswer: 711183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*n + 24, 7 = -2*g - 3*n - 4. What is the highest common divisor of 26 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**3 - 16*f**3 - 6*f**4 + 2*f**2 - 2*f**2 + f**4 + (-2*f + 2*f - 2*f**2)*(2*f**2 - 3*f**2 - f**2).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9*((-9)\/45 - 114880\/(-150))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:41 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24828.090014 + 24832.29. Let n = j - 4.2. What is n rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 47. Solve r*q - 9 - 1 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7421 times -487\nAnswer: 3614027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -351, -692, -1033, -1374, -1715, -2056?\n\"Answer: -341*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 807209414 and 0.3?\nAnswer: 807209413.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/13)\/((-2)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = v + 2*v + 24, 0 = 5*v - 2*m + 5. Let k be -2*(69\/20 + -3). Let p = -77\/30 - k. Is p greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 7*o**2 - 8*o + 11. Let i be j(-8). Suppose -i = -4*c + 5. Suppose -6 = -4*v + 10. Calculate the greatest common factor of c and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 15) in base 6?\nAnswer: -1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y**2 + 0*y)*(-30 - 4 - 14)*(24*y**2 - 7*y**2 + 10*y**2)*(-61 + 5*y + 61).\nAnswer: -6480*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*w - 7 + 16, -3*q - 13 = -4*w. Suppose 4*b + 3 - 19 = 0. Solve -3*z = -b*g - 0*z + 8, w*g - 8 = -2*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8231*w - 25. Let z(n) = 15857024*n + 48160. Give 9632*s(u) + 5*z(u).\nAnswer: 4128*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 - 3 = 0. Suppose -n + 16 = -u. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 1\/3, 2, -175 in increasing order.\nAnswer: -175, 1\/3, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 659 and 2004?\nAnswer: 1320636","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 106 * 13\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r + 800 = 43*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 2676 + 1284 = 0. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c0 (base 16) in base 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -1\/24*i**4 + 0*i + 1\/3*i**3 + 45*i**2 + 0. Let p be (22\/(-4) + 4)*-2. Calculate c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 90 = 2*t, 5*m = -5*t + 15*m - 295 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n - 3 = 50*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1)\/(((-710)\/300)\/(-71)) + -4 + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 2*w**3\/3 + 2*w**2 - 16*w. Let g be p(1). Let b(a) = 3*a - 20. Let n be b(g). Solve n*x - 7*x - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49464 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 17. Let k be a(4). Solve 0 = k*m - 0*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c - -a09?\nAnswer: 98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35140966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r + 1. Let t(w) = 5*w**2 + 5*w + 2*w - 3*w + 4 + w. What is 3*c(i) - t(i)?\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115775142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*b + 367, 2*u + 2*b - 38 = 116. Calculate the greatest common factor of u and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 312.642ml?\nAnswer: 0.312642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, w: 10, z: 1, j: 5}. Give prob of sequence ppw.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s. Let r be t(-1). Suppose 0 = -6*a + 2*a + r. Solve -5*d = -a*m + 3*m - 13, 2*m - 16 = -5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/9*a**2 + 1\/3 + 10\/9*a.\nAnswer: (a + 1)*(7*a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 1 (c) 19\/9 (d) 2\/8371 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2\/7, 5, 9 in increasing order.\nAnswer: -1, 2\/7, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 4\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879144?\nAnswer: 2, 234893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*u = -9*b - 2, -5*u + 22 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -14*v**6\/135 - 16*v**5\/45 - 11*v**4\/27 - 4*v**3\/27 + 36*v. Factor d(f).\nAnswer: -4*f*(f + 1)**2*(7*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 7*c + c + 2 - 15*c + 6*c + 2*c**3. Determine g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 2*o + 4*o - 4*o + 34. Let z(q) = 2*q**2. Determine z(s(j)).\nAnswer: 2*j**2 + 136*j + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14135655?\nAnswer: 3, 5, 239, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225 - 224. Solve -o = h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*b - 27, -2*u = -5*b + 3*u - 30. Let j = b - -13. Suppose 0 = -j*x + 23 + 89. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2*(4 + 44\/(-8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9908750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16 + 41 - 17*p - 2*p**2 - 26. Let v be t(-8). Is -1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 64296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 + s**4 + 0*s**3 - s**3 + 3*s**2 + 3*s**3 + 2*s - 6*s**2 to the form b*s + p + l*s**2 + v*s**4 + d*s**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5874?\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.11 to zero dps.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3770 = 10*i - 6*i, 4*g = 5*i + 7605. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 11) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1870\/13 + 144. Let x = -3 + 2. Let m be (x\/2*2)\/1. Is l less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20458770 divided by -2630\nAnswer: -7779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - n - 4, -j + 4*n - 17 = -0*j. Let s(o) = 61*o**2 + j + 0*o - 60*o**2 - o. Let x = 1 + -1. What is s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10 + 4 + 209 + (-5 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhheehebbbhehhm. What is prob of sequence heeh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96240 - 96240 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 344088, 344058, 344028, 343998, 343968?\n\"Answer: -30*i + 344118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 279796204221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/6 - s**2\/2 + 4*s. Let l(f) = -10*f - 12. Suppose 0*h - 4*h = 88. Calculate h*v(w) + 2*l(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:05 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-5)\/26)*56\/(-560)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 + -7.07. Let d = -3.3 + 3. Let w = p - d. What is w rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 0.5 (c) -0.03 (d) -2\/5 (e) 1\/5 (f) 440 (g) -5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -57.8. What is the nearest to 1\/2 in 2, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from {x: 1, z: 2, q: 1, t: 1, e: 1, h: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f - 170 = w, -f + 660 = -4*w. Let j = w + 240. Suppose -131*p = -122*p - 666. Is p at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 3, -29, 18, -34.\nAnswer: -34, -29, -3, 3, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f**2 + 14*f + 565. Let g(y) = 7*y**2 - 7*y - 283. Let d(p) = -5*g(p) - 3*x(p). Is d(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -23.946. Let r = k - -0.284. Round r to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01483 - -0.03233. Round l to 4 decimal places.\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86233 + 32509819\/377. Let n = -34\/29 + j. Which is the smallest value? (a) 5 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 divided by -46.\nAnswer: 873\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 60, -1, 435 in descending order.\nAnswer: 435, 60, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**2 - 104*f**3 - 674 + f**2 + 676 - 46*f**3 wrt f.\nAnswer: -900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 5630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 - 22.64. Let j = 23.14 + w. Let x = 4 - 2. Which is the third smallest value? (a) j (b) 1\/2 (c) x (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*y = -475*y - 495 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 33 = 13. Let m(u) = -u**3 + 12*u**2 + 7. Let v be m(12). Suppose 2*o = -j*f + v - 28, 2*f + 12 = o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f - f**5 + (4 - 1 - 1)*(-3*f**5 + 3*f**5 - 3*f**5) - 2*f**5 - 330*f + 149*f + 147*f.\nAnswer: -9*f**5 - 34*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bc62 (base 14) in base 9?\nAnswer: 117401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540600695 plus 5?\nAnswer: -3540600690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 15*a + 3*a. Let j = 1243 + a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -16683 - 14625. What are the prime factors of g?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959698834 a multiple of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 22313102132201?\nAnswer: -22313102132202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (3\/(-3) - -2). Let c = b + -2. Suppose -v + 0 + c = 0. Which is smaller: -3\/11 or v?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3193, 3140, 3091, 3052, 3029, 3028, 3055, 3116?\nAnswer: 3217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18 - (-3478)\/(-666)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11986 + -11974. What is the lowest common multiple of 4539 and d?\nAnswer: 18156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19468)\/(-14) - (-8 - 180\/(-21)). Suppose -11*c + v = 125. Calculate the greatest common divisor of 46 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3667 or 3668?\nAnswer: 3668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -15*m + 15 - 52*m**2 - 16*m**2 - 21*m**2 + 47*m**2. Let j(r) = -6*r**2 - 2*r + 2. What is 2*i(l) - 15*j(l)?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 12778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:56 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10299*f**3 - 5058*f**3 - 5168*f**3.\nAnswer: 73*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5*y**3 - 25*y - 44. What is the derivative of b(v) wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Let q be (-6)\/9*1*-54. Let t be 12\/54 - (-19)\/q. Which is the closest to r? (a) 4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 n, and 1 k when four letters picked without replacement from {q: 2, x: 3, f: 3, k: 4, m: 4, n: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 72*p**2 + 72*p + 52. Let x(g) = -239*g. Determine b(x(j)).\nAnswer: 4112712*j**2 - 17208*j + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3221, -3200, -3157, -3086, -2981?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -208 in 0.4, 0.3, -4, 0.3415, -0.4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 3*z**4 - z**3 + (25*z - 2*z**4 - 25*z)*(-1 - 1 + 1).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1417645810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 472003879.2 to the nearest one million.\nAnswer: 472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1348 and 243351070.\nAnswer: 486702140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128447 - -884?\nAnswer: -127453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsdhdbddbdjdhd. What is prob of sequence bjh?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, 222, 391, 600?\n\"Answer: 20*k**2 + 69*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 815*b**3*h**3 - 388399*b**3*h**2 + b*h**2 + 2*b*h - 59373*h**3 - 8*h + 2 wrt h?\nAnswer: 4890*b**3 - 356238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2645\/(-157642))\/(25\/(-20))?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 8. Let r be d(0). Find the first derivative of 5*q + r - 5*q - q**2 - 6 wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.5 (c) 28 (d) 2\/17 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 155 + 39 = 0. Suppose 6 - 30*l**d - 87\/2*l**2 - 3*l - 21\/4*l**5 - 237\/4*l**3 = 0. Calculate l.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17298291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/34 and -103\/272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/209295 and -32\/3558015.\nAnswer: 3558015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z**2 + 15*z + 22. Let b(f) = 17*f**2 - 31*f - 39. Determine -5*b(i) - 9*l(i).\nAnswer: -4*i**2 + 20*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t + 40*t - 1428 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.4753 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 1\/2*l**2 + 1\/3*l**3 - 29 + l. What is the smallest common multiple of k(-2) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 - -335 - (-18)\/((-6)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28046 + -28046.1. Which is the nearest to -0.058? (a) -3 (b) r (c) -2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3051 + -23445?\nAnswer: -26526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmtitudll. Give prob of sequence ud.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(204)\/((sqrt(144)\/sqrt(4))\/sqrt(3)) + -5)**2 + -3.\nAnswer: -6*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 46\/(-6))\/((-1648)\/48 + 38)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1, 15331, 3, -0.5 in descending order.\nAnswer: 15331, 3, 1, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(5\/9)*y\/y**18)\/(y\/y**(-3)*y)**(-7\/4) assuming y is positive.\nAnswer: y**(-281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**5\/40 + 5*o**4\/32 - o**3\/2 - 9*o**2\/4 + 1918. Solve l(y) = 0 for y.\nAnswer: -6, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -566 + 12416?\nAnswer: 11630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooyooyoyyoooyoooo. Give prob of sequence yo.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 36. Suppose 4*x + f = -y, 0 = 2*x - 0*x + 2*y + 62. Is 13 a factor of (-26)\/(-4)*x\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 354 and 3496281.\nAnswer: 6992562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 17*m**2 - 17*m + 9. Let k be d(-18). Let l be (-1 + -2)*(0 - -214). List the prime factors of l\/(-27) + (-2)\/k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 12*g + 11. Let q be v(11). Suppose 3*k - 4*i + i = 6, q = 5*k - 4*i - 12. List the prime factors of (-55)\/(-10) - (-6)\/k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/14)\/(2\/(-210)). Suppose 4*k = 3*n - p, 5*n = -5*k + k + 118. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -19. Sort 5, q, 4 in decreasing order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 262. Let z = 199 - j. Which is the closest to -0.2? (a) -3 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**4\/42 + 2*g**3\/7 + 5*g**2\/7 - 8*g - 22. Let h(v) be the first derivative of i(v). Factor h(u).\nAnswer: 2*(u + 1)*(u + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1054 + -551. List the prime factors of k.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6565825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = -5*t - 2, -4*s = 4*t. Which is the second biggest value? (a) s (b) -17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(117)*-2)\/sqrt(9) - (2*sqrt(13) + -3)*5)**2.\nAnswer: -180*sqrt(13) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 + 33*a - 62 = 0. What is a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*l = -486, 4*v - 4*l + 2*l = 996. Let r = -128 + v. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**3 + 4*z**2 + 4*z + 1. Let j be x(-1). Solve -4*s + j*s - 35 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53775, -53771, -53767, -53763, -53759?\nAnswer: -53755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.55 - 0.45. Let b = k - 0.7. Let y = 4.3 + b. What is the biggest value in -2, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 3:10 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11073, -22265, -33457, -44649?\n\"Answer: -11192*b + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 3033780426?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1451 + 2?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -177 - 1?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870446124 a multiple of 3134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.5 - 74.5. Let k = 90 + j. Let n = -70 - -489\/7. Put k, 5, n in increasing order.\nAnswer: n, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -183079 less than -183079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z**4\/10 - 1878*z**3 + 229181*z**2\/10 + 142743*z\/5 - 49588 = 0.\nAnswer: -2695, -2, 1, 92\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6*8)\/8)\/((-80)\/600*15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - -2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 5. Let k be d(-7). Solve -v + 14 = v - k*z, -z - 13 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4*1 + 1). Is 8 + (d - -1)*-1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 - 167. Suppose 0 = 2*p + 4*g - 4, 3*g - s = -p + 1. Which is the closest to p? (a) -0.3 (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188 divided by 108.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a + 0*a**2 + 5*a**3 + 5\/4*a**4 - 78. Factor l(c).\nAnswer: 5*c**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 8*p + 6*p + p - p + 1 + 2*p - 1 + (p - 3*p + 3*p)*(5 + 2 - 5))*(12*p**2 - 9*p + 9*p).\nAnswer: 216*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:27 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -74*x - 4 + 74*x - 3*x**2. Let l(r) = r**2. Calculate l(i(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = l - 39, -12*m + 45*m - 20*m = 16*m + 5*l - 212 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-36))\/((-72)\/960)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-14)*12\/(-90)*-1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**3 - 1701513*j**2 - 6806016*j - 6806004 = 0.\nAnswer: -567167, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1 (c) 13.036 (d) -3 (e) 4 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9096.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)*(j**7*j*j)\/j)**(12\/11)\/((j**(2\/7)*j)**(-24)\/((j*j*j**(1\/7))\/(j\/((j\/(j**(-1)*j))\/j)))) assuming j is positive.\nAnswer: j**(3088\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 13 - 8*o - 12*o - 3*o. Let c(t) = 21*t + 13. Let g(a) = 3*c(a) + 2*u(a). Find the first derivative of g(l) wrt l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l - 6. Let j(b) = -10*b - 5. Let g = -649 + 668. Suppose 0 = 3*v - 9*n + 8*n - g, -20 = 5*n. Calculate v*t(d) - 6*j(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 3. Let d be -7 + 6 + -3 - 1. Determine u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.3 (c) 2\/5 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(2\/(-42)). Let i = 5 + a. Suppose -y - 4*y + 162 = 4*t, 2*y - 66 = -t. Calculate the remainder when y is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133.7 - 134. Which is the closest to 1? (a) q (b) -6\/13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = 0. Suppose -16 = 2*g + 2*g, c = 3*j - g - 61. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*f + 10635630 - 10635630.\nAnswer: -974*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 69, 116, 179, 264?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-four fifths of a hour?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -263, -242, -199, -128, -23, 122, 313?\n\"Answer: i**3 + 5*i**2 - i - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 9. Suppose p + 2 = 3. Suppose 4*d = 5*u - 63, 7 - p = -3*d. Calculate the lowest common multiple of t(-6) and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let t = -101 + 105. Find the second derivative of 3*g - 9*g**t + 3*g**4 + j*g wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 13, 21, 29, 37?\n\"Answer: 8*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -3\/4, 0.5, 1.26, 2\/19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - x + 101, 26 = -2*n + 2*x - 32. Let q be -4*(-3 + (-69)\/n). Which is the closest to 1? (a) -1 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**3 + 2*o**2 - 1. Let q be 2*(-14)\/(-4)*(-2)\/(-14). Let g be x(q). What is the highest common divisor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 - 24*i - 16. Let x be v(-5). Solve d + x*n + 0*n = -7, -n = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzznzjkzzjn. What is prob of sequence jj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(847))*-2 + sqrt(847) + (sqrt(847) - sqrt(847)*-3)*-3 - 6*((sqrt(847) - (0 + sqrt(847))) + sqrt(847) + -4 + (sqrt(847) - 2*sqrt(847)*2)))**2.\nAnswer: -396*sqrt(7) + 1171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 4*l**2 + 3*l + 4. Let h be c(4). Let w = 1134 - 1132. Suppose 0 = 5*x - 4 - 11. Solve -a + 3*o - w*o = 0, a + x*o = -h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -14*r**3 + 11*r**2 + 11*r - 8. Let g(x) = 3 - 8*x + 4*x - 3*x**3 - 4*x**2 + 8*x**3. Determine 8*g(t) + 3*s(t).\nAnswer: -2*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:16 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-174 + 174 + 302*n**2)*(3*n - 3 + 3) to i + j*n**2 + o*n + u*n**3 and give u.\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 2*t - 4*t + (-4 + 2 + 3)*(t - 2*t + 2*t) + (2*t + 1 - 1)*(1 + 2 - 1))*(2 + 0 + 0).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 6. Let w(b) = -b**2 + 12*b + 15. What is the least common multiple of w(n) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910077?\nAnswer: 3, 479, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 24546?\nAnswer: 13\/24546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:11 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 - 52055087*i**2*n**2 + 80*i*n**2 + 14456*i*n + n**2 - n - 1 wrt i?\nAnswer: -12*i**2 - 104110174*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12\/(-5) - -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.1683.\nAnswer: -0.8317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/44385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2769 + 892 + 1672 - g + 1553 as t + w*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3437714 - 345?\nAnswer: 3437347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 9*a - 14, 4*i + a - 141 = -65 - 71 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 92*l - 19960 = 207*l + 399*l for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 2*g + 16 + 1 = 19, 3*r - 10 = -2*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -74. Is a*-2*(-2705)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1034?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 3326 = 3238. Solve 0 = 3*m + l - 17, -7*m + 16 = -n*m + 4*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (220 + 120*f**3 - 220)*(-4*f + 4*f + f) as z*f + b*f**3 + p + s*f**4 + a*f**2 and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**(-6)*r)\/r*r*r**(-8) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14592756119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 6.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**36*(j**(2\/5))**(-5\/12) assuming j is positive.\nAnswer: j**(647\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + k + 3. Let x be f(0). Which is the second smallest value? (a) -3 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - (-56 - -49)) + -54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e4 (base 16) to base 6.\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -8.19\nAnswer: -24.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 793.14 to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -163625 divided by 23375\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 1 s when three letters picked without replacement from qpqspspqssspwps?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yiiryr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 24. Let h = z - 4. Let f = -18.3 + h. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822*q = 823*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82829.9636 - 82617. Let w = 213 - t. What is w rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1589 and 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1362, 1398, 1432, 1464, 1494, 1522?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4*f - 46*c**2*f**2 - c*f + c + 5*f**2 wrt c?\nAnswer: -12*c**2*f - 92*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30790 divided by -5\nAnswer: 6158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 30*i + 26*i.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(5) - sqrt(55)\/(sqrt(33)\/sqrt(3))) + sqrt(405) + sqrt(405) + -2*sqrt(405))**2 - (2*(0 + sqrt(5)) + 5 + (sqrt(5) - (sqrt(5)*-2)**2))).\nAnswer: -3*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (2 + (-148)\/4). Suppose j = 4*p - 11, -p + r + 26 = -4*j. Let h(a) = -a**2 - 14*a + 21. What is the units digit of h(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 178324604*g - 16*g**2 + 178324604*g.\nAnswer: -10*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203 (base 5) to base 7.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 20. Let l be r(-10). Suppose -5*x + 20 = -l*x. Let g(a) = -7*a - 1. Let q be g(-1). Calculate the greatest common divisor of x and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 1. Let f(q) = -q + 4*q - 16 - 1 + 4*q + 29. Determine -f(n) - 4*u(n).\nAnswer: -3*n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 932, 52, 0 in increasing order.\nAnswer: 0, 1, 52, 932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 10*f**2 - 17*f + 4. Let i be c(8). Let b be i\/5 - (-288)\/(-15). Let v = b - -23. Solve -u + v*r - 10 = 0, -2*r + 35 = 5*u - 0*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492 a factor of 1846255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 + 18*j**3 - 28*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z - 60. Let y be ((-2)\/10)\/((-72)\/z). Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(1 - 1 - r) - 7*r + r + 2*r)*(4*r**3 + r**3 - 3*r**3) + 16*r**4 + 17*r**4 + 6*r**4.\nAnswer: 35*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-3) + (-4)\/(-2). Suppose 2*t = q*t + 4*u - 28, t + 5*u = 11. Solve 0 = -5*p - t - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36381.279 + -7.9.\nAnswer: 36373.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/(x\/(x*x\/(x*x*x\/x**(2\/23)))))\/(x\/x**0)**(2\/147))\/(x**4\/x**(-1\/2)*x*x*x\/(x\/x**(-1)*x)*x**4) assuming x is positive.\nAnswer: x**(-70505\/6762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/56)\/(((-16848)\/567)\/(-52)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 8) to base 16\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by 12\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.3090523 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 3*z + 49, 0 = -4*g + z + 35. Suppose -3*j = 3*y + g + 25, 3*y - 4*j = -5. Let x = -4 - y. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 23*n**2 + 0 + 0*n - 1\/8*n**4 + 7\/2*n**3. Let h be i(6). Solve h*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 69. Solve -34*v + 31*v = -l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgyaymglllly. What is prob of picking 1 w and 1 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*588\/112*-4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -47?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000382126 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**5 + 1231597*i**2*z**3 - 7*i**2*z + i*z**2 - 11*i - 2*z**3 + 226774*z wrt i?\nAnswer: -20*i**3 + 2463194*z**3 - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25336?\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-228)\/(-10))\/((-102)\/(-170)) is divided by 2 - (-2 - -1)*12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -160 + 77 + 3*d + 81. Let i(x) be the second derivative of 5*x**3\/6 - 2*x**2 - 36*x + 4. Give 4*i(j) - 7*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4839, 0.5, -2.\nAnswer: -2, 0.5, 1.4839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -7*b**6\/40 - 14*b**5\/15 + b**2 + 46*b. Find the third derivative of u(d) wrt d.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 4998.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 140, 2, -3 in descending order.\nAnswer: 140, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzi when three letters picked without replacement from {i: 1, z: 1, y: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 45, 53, 61, 69?\n\"Answer: 8*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 2, w: 2, m: 1, y: 7, z: 2}. Give prob of sequence my.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 w, and 1 y when three letters picked without replacement from {w: 4, y: 2, h: 3, i: 4, s: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7313*f + 1908700. Give w(261).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230421358 to the nearest integer?\nAnswer: 35077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from jjsjjjssjjjjssjj.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 13*i + 16 = 0. Is (-2)\/i + 24395\/68 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.0724 (b) -3\/5 (c) -18 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 22*p**2 + 105*p + 292. Calculate h(-3).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + 4*sqrt(20) + (sqrt(5) + 1)**2 + -5 - (0 + 3*sqrt(405)*2)**2).\nAnswer: -14574 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25220635*u**4 - 65850824 wrt u?\nAnswer: -100882540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujjljljljvvujjjjj. Give prob of picking 2 u, 1 j, and 1 v.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 4\/3, 22, 5\/2, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 5) + -11 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193135 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 26 = w, -4*w = -2*w + 3*g - 13. Let l be w + 1 + -1 + 2. Let n be (l - 2)\/((-1)\/3). Solve 6 = -3*f - n*s, 3*f - 6*f = -s + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*v)*(3*v**2 - 2*v**2 + v**2 + (-6*v - 2 + 4 + 13*v)*(-8*v - 2*v + 2*v)) to w + z*v**3 + i*v + g*v**2 and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 5*y = -t - 8, 0 = 4*t - 2*y - 10. What is the nearest to t in 4, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:32 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(325) + 0) - sqrt(325))*-6)**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -16840.\nAnswer: -16840.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*(z**(-1\/5)\/z)\/z)\/z*z**4*z*((z\/z**5)\/z)\/(z*z**(-7)*z))\/((z*z**(1\/6)\/z)\/z**(-1))**(-4) assuming z is positive.\nAnswer: z**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(76))**2 - (sqrt(304)*3)**2.\nAnswer: -2635 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 6*a**2 + 2*a**2 + (2 + 3 - 6)*(3 + 2*a**2 - 3) + 3*a + 2*a**2 - 3*a + (3 + 3 - 5)*(-2*a + 2*a - 2*a**2) + 4*a**2 + a**2 - 4*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 153422406167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 642 and 2?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/10 + -2*1. Let f = 11 - 11. What is the second smallest value in j, 2, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*n - 36, 5*n - 9 - 2 = -2*g. What is the greatest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 48. Find m such that -3*m**4 - 36*m - m**3 - 8*m**3 - 9*m**3 - a - 39*m**2 + 0*m**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-3\/17))**(-33) assuming q is positive.\nAnswer: q**(-198\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 + -211. Let l = -138.1 + 138. What is the nearest to a in -5\/2, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115 - -114.2. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 50551.\nAnswer: 2, 4, 50551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 + m + 13. Let b be z(-11). Suppose 3*k - b*k = 0. Solve 2*j + k = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 - 17*w - 2. Let z(f) = f**2 + 1. Let a(l) = -i(l) - 2*z(l). Find the second derivative of a(y) wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 20169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(10\/7)\/v*(v\/(v*v\/v**27)*v)\/v)**(-5\/16) assuming v is positive.\nAnswer: v**(-925\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**3\/4 + 13021557*k**2\/2 - 56520315568083*k\/4 = 0.\nAnswer: 0, 4340519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -8 - (-52)\/14. Which is the second smallest value? (a) -4 (b) -2 (c) k (d) -0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 8 - 5. Suppose k*h + 15 = 2*v + 2, 5 = -5*v - 5*h. Suppose -2*w = v*w + w. Solve z + w*z - 5 = -3*g, -4*z + 5*g = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*l + u, -u = -4*l - 4*u + 44 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.1, 3, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/7, -1\/7, 0.2921?\nAnswer: 0.2921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l. Let g(o) = -o. Calculate -21*g(i) - 2*s(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -501) + (37 - 30).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -12*m + 25, 3*s - 4*m = 14500. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and -9?\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:46 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -2.6. Let z = 6.2 + -6.27. Put s, z, 4, -1 in ascending order.\nAnswer: -1, s, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55484 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.7819 millimeters to micrometers.\nAnswer: 71781.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 10. Let m(n) be the third derivative of -3*n**4\/8 + 29*n**3\/3 + 143*n**2. Let u be m(5). Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -423*z - 199. Let c be h(-9). What is the common denominator of -37\/18 and (c\/2970)\/((-6)\/(-3))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + s. Let o(p) = p**3 - p. Let i = 72246 - 72247. Let d(n) = -n + 2 + 0*n + 2*n. Let j be d(-3). What is i*v(m) + j*o(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from yyyqynynnynymmyyqyny?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 4*y - 3. Determine c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + u + 3*u + 97016 = 0, 0 = -3*o + 9*u + 72714. What are the prime factors of o?\nAnswer: 2, 7, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-32858)\/(-42) - 1\/(-3). Let k = n + 1190. What is the least common multiple of 12 and k?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-2)\/6*(-219)\/(-146)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15307, -6, 1.172 in increasing order.\nAnswer: -6, -0.15307, 1.172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 31595620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 + 16*n**2 - 6*n - 3. Let p(j) = 14*j**3 - 47*j**2 + 17*j + 9. Let k = 47 - 30. Let u(m) = k*r(m) + 6*p(m). Determine u(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175 + 16*k**5 - 33*k**6 - 205*k**2 - 188 - 19*k**6 + 198*k**2 - 10*k**6 wrt k.\nAnswer: -7440*k**3 + 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54961905 is divided by 264.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.71? (a) -1\/4 (b) 1\/12 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4871887, -9743771, -14615655?\n\"Answer: -4871884*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(112)*-5 + 1 - -5*-2*sqrt(7)*-3))*5.\nAnswer: -20 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4449.8 + -4450. Let d = 47\/42 - 9\/7. Let z be ((-6)\/(-14))\/((-24)\/42). Which is the closest to w? (a) d (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -15*z**4\/4 - 22*z + 34. What is the first derivative of y(f) wrt f?\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.232 * 0.4\nAnswer: -0.4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82962 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -40, -41, -48, -61, -80, -105?\n\"Answer: -3*q**2 + 14*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-15))\/((-128)\/288))\/((-44)\/(-48))\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let b = 5 - 2. Suppose -2*p + 5 = b*p. Let z(v) = -p + v + 3 - 2. Calculate s(z(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 535 - 375. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229108411?\nAnswer: 7, 5147, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 11*g**2 - 15*g - 2. Let z be o(9). Let x(u) = z*u**2 - 43*u**2 + 21*u**2. Let t(k) = 4*k. Determine x(t(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175177*b - 58397*b - 58390*b - 58391*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 16. Let d be 12\/(48\/(-22) + u). Is ((-33)\/6 - -5)\/(1\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Suppose -a*c - 16 = 2*o, -o - 12 - 2 = 3*c. Suppose -8 - 1 = 3*y. Is c at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 202444?\nAnswer: 203044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(25\/10)*2\/(-2)*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/8*(-166)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 14300 = -0*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 14*p**2 + p - 14. Give o(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*g + 9120 = -10752 - 1584 + 5042 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 219160293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -172\/3? (a) -1 (b) -138 (c) -4 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5100\/72)\/25 + (-5)\/6. What is the nearest to 1 in m, 4, -2\/5, -2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.9 - 38.8. Let y = 2.1 + -2. Let f = y - o. Put 5, f, -0.3 in increasing order.\nAnswer: -0.3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 48\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -59. Let f = -37 + o. Solve x + f = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12831*z**3 - 282279*z**2 + 2604759*z - 609 = 0. Calculate z.\nAnswer: -29, 1\/4277, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -62508745?\nAnswer: 25003498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11)*1*3) - (-1 + -1 + sqrt(72)).\nAnswer: -17*sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 14552 - 23475 + 33*u - 35492.\nAnswer: 26*u - 44415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Suppose -15 = 5*d, -4*d = -3*r + d + 39. What is the least common multiple of r and w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90940 divided by -4?\nAnswer: -22735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79605 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*t = 475000, 2*o - o - 4*t = -95000. Round o to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.67 or 38\/81?\nAnswer: 38\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 178. Suppose 55 + p = 2*s. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49184 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-53)\/1)\/(3 + -4). Suppose -i = -3*j - 5*d + 4*d, -7 = -j + 5*d. Calculate the highest common divisor of j and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*f - 56*f = -10*f + 1512 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -26. Let h = p + 22. Solve b = -2*q + 3 - 6, 5*q = -2*b - h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1295 and 2645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 - 7*k**4\/4 - 3*k**3\/4 + 23*k**2\/4 - 7*k\/2.\nAnswer: k*(k - 7)*(k - 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2))**(1\/40)\/((z\/z**(-2\/3)*z*z)\/z)**29 assuming z is positive.\nAnswer: z**(-9283\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.2 - -9. Let v be (-10)\/(-8) - (-6)\/20*2. Let p = v + -11\/10. Which is the second biggest value? (a) -0.4 (b) p (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 16. Suppose -w = -4*b - n, 0 = 4*w + 4*b - b - 148. Suppose 38 = 4*o - w. Calculate the highest common factor of 126 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**2 - 5. Let o(b) = 14*b**2 + 8. Suppose 0 = 13*x - 20*x - 21. Let d(y) = -y**2 - 4*y + 5. Let h be d(x). Give h*u(s) + 5*o(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 542, -2, -623, 4 in decreasing order.\nAnswer: 542, 4, -2, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*s - 2 = 0, 29 - 23 = -3*s. Is -1\/9 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*6\/(-63). Let g = 12769 + -12767. Which is the third biggest value? (a) g (b) m (c) -2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(88459*l + 1 + 89703*l - 18214*l + 98216*l + 1) to u*l + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 - 101 - (-21 - (-9 - -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4552*q**2 + q + 1. Let o be s(-1). Let i be o\/8*2\/14. Let l = i - -81. What is the smallest value in 0.3, 4\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 32. Let n = -9 - -11. Factor 1\/4*g**n + i + 1\/4*g.\nAnswer: g*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 495, 5, 0.03, 3, 9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from npopnppnnpppo.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3758 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1106 + 1116. Let u be (-12)\/(-2) + -2 + 1. Suppose u*o + 10 = 60. Calculate the least common multiple of o and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {a: 2, u: 2, j: 4, p: 2, h: 2, w: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 174\/624 - ((-2)\/(-80) - (-29)\/290). Factor -8\/13*s - j*s**2 - 8\/13.\nAnswer: -2*(s + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*u**6 - 4*u**4 - 5*u**2 + 53*u wrt u.\nAnswer: 1320*u**3 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*m**3 + 20*a**3 + a*m**3 + 4*m**3 + 7 wrt a?\nAnswer: 3*a**2*m**3 + 60*a**2 + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -o - 4, -2*n - o + 6 = -5. Let y be (-4)\/(8\/12*n). Let k = 413\/3 - 138. What is the biggest value in y, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337949?\nAnswer: 337949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -14. Suppose 5*m - z*w = m + 1324, -m - 4*w + 351 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 215*r + 11379. Give p(-126).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17*t + 79. Give q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 45*r**2 - 93*r + 65. Let c be j(-47). Suppose 0 = 5*b + b - c. Solve z = -b*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(32\/(-6)) + (-2)\/(-4). Put -4, -2, -1, o in increasing order.\nAnswer: -4, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 + 0.1. Which is the closest to -1? (a) 1 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + 32 - -42 - (-14 + 0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 - 895*y**4 + 8535*y**3 - 14405*y**2 + 6760*y = 0.\nAnswer: 0, 1, 8, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcpalmmlmlmammmlmmml. Give prob of sequence mlma.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9615.1 rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12615, -12615, -12617, -12621, -12627?\nAnswer: -12635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2484*o + 9910. What is l(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 0. Let x be (2\/4)\/(2\/(-4)). Let m be 2 - (x + (-2 - 0)). Calculate the greatest common divisor of m and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/1447 or -1?\nAnswer: -31\/1447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/2 - 10\/(-20). Let a = -6 - -8. Let o be (a + -1 + -3)\/(-1). Solve -o*j - 10 = 0, 2*j + 3 - k = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -178*p + 179*p - 11, 2*p + 5*k = -76 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18440567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 220374088 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/7 + 3628*h**3\/7 + 1266688*h**2\/7 - 2544268*h\/7 + 1273950\/7 = 0.\nAnswer: -1341, -475, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 v, and 1 p when four letters picked without replacement from {v: 3, s: 2, x: 1, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 - 10*u - 5. Let v be p(0). What is the third biggest value in v, -0.6, -2, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 184*l + 92*l + 92*l + l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1244210*(-9)\/207 - (-2)\/23. Is (u\/4 - -7)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*n + 12 = 0, z + 4 = n + n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 4*h + 64. Suppose -4*n = -3*d - 11, -n + 1 = -d + n. Sort -1, h, d in decreasing order.\nAnswer: h, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 + -313.2. Let p = u + 19.2. What is the second biggest value in p, -2\/7, -3, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)\/d*d**(1\/15))**(2\/105) assuming d is positive.\nAnswer: d**(-388\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/13 - -47\/26. Let k = -6\/43 - -116\/215. Which is the closest to k? (a) o (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/18)\/((-2)\/30). Suppose -1140000 = -v*m + 3*m. What is m rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 726?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -4)*(-20)\/(-50). Let j(d) = -156*d + 156*d + 27*d**g. Let r(f) = -6*f**2 - 6*f**2 + 15*f**2. Calculate r(j(h)).\nAnswer: 2187*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -220803 divided by -2?\nAnswer: 220803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/3 (b) -1 (c) 128 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 506343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b + 216. Give w(9).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67 and -0.7.\nAnswer: -67.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-2)\/2)\/(-1). Let o(d) = -d**3 - 2*d**2 + d - 3. Let h be o(f). What is the third derivative of -3*a**4 - h*a**2 - a**2 + a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9631 is divided by 74.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 138*q - 6\/7*q**2 + 972\/7 = 0.\nAnswer: -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665.2591 rounded to zero decimal places?\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let g(b) = -10*b + 1. Let a(l) = 2*g(l) - 14*v(l). Let q be a(3). Let s = q - -15. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 240229\/18*4\/58836*-3. Let g = -1\/4903 + j. What is the common denominator of -47\/18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - c = -553, r + 0*c + 3*c = 289. Let k = 352 + r. What are the prime factors of k?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1280) - sqrt(1280)*3))\/(2*-2*sqrt(1210)).\nAnswer: -20*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24559196?\nAnswer: 2, 157, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383329496 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 958 - 624. List the prime factors of i.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m - 11 = 28*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101313 (base 4) to base 6.\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b - 38088?\nAnswer: -3803d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 88.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = 81*z + 26*z + 16*z. Solve z*w = -4, x - 3 = w + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*z + 7 = 0, 6*m - 9*m = -z + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 8*q. Let y(c) = c**3 - 39*c**2 + 7. Let p be y(39). Let w be (p - 0) + (-7 - (6 + -10)). Solve v - 16 = -w*u, -4*v + 0*v + u + 13 = q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2*l**3\/3 + 52*l**2 - 106*l + 2145. Find n, given that b(n) = 0.\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 14286120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 74 - 3\/4*j**4 - 8\/3*j**3 + 0*j**2 + 50*j. What is the derivative of t(q) wrt q?\nAnswer: -9*q**2 - 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + 10.83. Let t = 42 - y. Let o = t + -31.046. What is o rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 6*l = -132. Let d = 488 - 489. Put d, l, -2 in descending order.\nAnswer: l, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*l*w**3 - 8*l*w**2 + 15*l*w + 2*w**2 + 40*w wrt w.\nAnswer: -102*l*w - 16*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2586730783 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -2 (c) 319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 6. Let r be -2*((-2 - -2) + -1). Let t be -3*r\/2 + 1. What is the remainder when 28 is divided by h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 13*w**2 + w + 8. Suppose -18 = l + 5*t, -t = -2*l + 2*t - 23. Let n be g(l). Let u = 17 + n. Which is greater: u or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 743770.\nAnswer: -743767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/713? (a) 1 (b) -0.01 (c) -4\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -108. What is the third derivative of 36*z**h - z**4 - 4789*z**2 + 4766*z**2 wrt z?\nAnswer: 840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = 138. Let l = -45 + j. Suppose -l*m + 2*m + 90 = 0. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2140101 (base 5) in base 11?\nAnswer: -257a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 2. Let v be t(2). Let u(d) = -d**3 - 7*d**2 + 7*d - 3. Let y be u(v). Find the first derivative of -2*n**2 + 3 - 6 - 2*n**2 + y*n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -20*d**2 - 472*d. Let s(z) = 2*z**2. Calculate h(s(a)).\nAnswer: -80*a**4 - 944*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 = 10*n - 6191. Let g = n - -200. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8, -4*z - 92 = -3*n + 2. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115454926 plus -0.4?\nAnswer: 115454925.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18212 is divided by 587.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + l = 23, 0 = -3*q + 4*l - 6*l - 9. Let r = q - -28. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 - 7*o**2 + 5. Let q(d) = -5*d**3 - 8*d**2 + 6. What is -4*i(f) + 3*q(f)?\nAnswer: f**3 + 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 0 - 16 + 2 - 4*o. Calculate z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**3 + 3*a**3 + 0*a**3 + (3 + 4 - 5)*(21*a**2 + a**2 + a**2)*(-6 + 6 - 38*a) - a**3 - 2*a**3 + a**3 in the form l*a + u*a**3 + j*a**2 + k and give u.\nAnswer: -1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b016b58b + -5?\nAnswer: -1b016b594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3618 + 11.33.\nAnswer: 3629.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = -54. Suppose 3*x = -j + 93, -x = -9*j + 14*j - 535. Let v = 194 - j. What is the remainder when v is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 8. Let q = z + -1. Let w = 15.84 + -15.9. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6.677 (b) 2 (c) 2\/3 (d) 2\/7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/5)\/l)\/l)**(-34))**(2\/37)\/((l**(6\/11)\/l**(-4))\/(l**(-1)\/l*l**5*l)) assuming l is positive.\nAnswer: l**(7866\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 + 70*i - 3. Let o(m) = -m**3 - 2*m + 2. Calculate -k(z) - 2*o(z).\nAnswer: -3*z**3 - 66*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:14 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (10 + (-28)\/7). What is the units digit of (-6)\/10 - ((-12636)\/(-15))\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3316111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 10, -21, 169, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - 72525\/(-125). Let q be (-22)\/33 + z\/6. Suppose -y - 4*g = -48, -6*y + q = -4*y - 4*g. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - (sqrt(95) - (sqrt(95) + -6*(-4*sqrt(95) - sqrt(95))))))\/sqrt(5) + 3)*2.\nAnswer: 6 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 230?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 201, 188, 159, 108, 29?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-35 + 23)*-2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59571446*s**5 - 8574901*s wrt s.\nAnswer: 1191428920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - 2*(-2)\/(-4)*-1. What are the prime factors of 57 + t\/(21\/18)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2415*f + 1704994. What is o(706)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11114, -10881, -10472, -9869, -9054?\n\"Answer: 3*k**3 + 70*k**2 + 2*k - 11189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, a: 3, k: 3, m: 1, i: 10}. Give prob of sequence ii.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 14. Let p(l) = l + 7. Let o(m) = -7*p(m) + 4*z(m). Let j be o(-5). Which is the third biggest value? (a) 1\/3 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-41)*g*g*g*g**34*g assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 10 - 8*t + 9*t as v*t + w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z**2 + z - 6. Let f be g(0). Let y(r) = -r - 3. Calculate y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 80179.4?\nAnswer: 8017.94","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/((f*f**23)\/f)*f**17 assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3926 - 3922. Suppose -5*w + 4*y = -15 - 7, 0 = -2*w + 4*y + 16. Let f be (w + 0)*(-3 + 1). Which is the nearest to k? (a) f (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.97 + 26. Let k = 0.035 - w. What is k rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2273, 2275, 2277, 2279, 2281, 2283?\n\"Answer: 2*r + 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**2*r**6 + 845*q**2*r**3 - 1957*q**2 + 9*q*r**2 wrt r?\nAnswer: 1320*q**2*r**3 + 5070*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22434 (base 5) to base 11.\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 31\/5*w**5 + 0*w**4 + 0*w**2 - 95 + 88*w - 2\/3*w**3. Find the first derivative of l(h) wrt h.\nAnswer: 124*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 15}. Give prob of picking 1 e and 2 i.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 260.8 from -0.3.\nAnswer: -261.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/30 + 5*s**4\/3 + 23*s**3 - 177*s**2 - 2*s. Let d(b) = 0. What is b?\nAnswer: -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/9)\/(108*(-146)\/(-5913)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1776, -10077, -18378, -26679, -34980?\nAnswer: -43281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110\/7 - 108\/7. Sort 0.2, -5, d, 5\/2 in increasing order.\nAnswer: -5, 0.2, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 5, -4, 32, 95 in decreasing order.\nAnswer: 95, 32, 5, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -31, -32, -31, -28?\n\"Answer: x**2 - 6*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39963285 less than 168.84?\nAnswer: 169.23963285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*m + 1016 - 917 = 5479 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, 0*l = 2*o - 4*l + 10. What is the nearest to 0.1 in 3, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 - 381 + 49 = 33*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 24, 70, 146, 258, 412, 614?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524\/87 + -52 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of ((-9)\/(-4))\/((-12)\/(-288))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/3 + 9*u**2\/2 - 2*u + 11. Let l(w) = -w + 8. Let j(t) = -3*l(t) + 2*r(t). Let v(q) = -q**2. Determine v(j(y)).\nAnswer: -y**2 - 12*y - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b**3 - 18*b**3 - 4*b - 13*b**3 - b**2 in the form q + v*b**3 + g*b + d*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + (2 + 1 - 1)*(-4 + 2 + 1) + 0 - 2 + 0)*(25*i - 73*i + 24*i).\nAnswer: 144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04421 - -384.\nAnswer: 383.95579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 + 5 + (-2 + 4 - 3)*(-2 + 0 + 1) + 2 + 2 - 3 + 2 - 1 + 1)*(5 - 5 + 2*b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.8585805 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + z. Let g be (-93)\/(-62)*3*4\/18. Sort z, g, -6 in decreasing order.\nAnswer: g, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -7. Let o(j) be the third derivative of j**4\/12 - 2*j**3\/3 - 4*j**2. What is the tens digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - 4*v**2 + 2*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c*l - 5657*c*p - 2*l**2*p - l**2 + 1401*l wrt p.\nAnswer: -5657*c - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 20*j**3 - 4*j**3 - j**3 + 26*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Let z = -8 - -9. Let h be 2 + z + 1 + -1. Solve 8 = -r + t*y, r + 2*y - h*y = -5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 11, t: 2}. What is prob of sequence tt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from {c: 1, r: 4, f: 2, k: 12}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6382)\/(-7) + 4\/(-14)*-1. Suppose 10*b = 14*b - g. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -z - 18 + 14, -3*z - 12 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from brlbbblbbrrlbbbr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -62, -106, -162, -230, -310?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -1\/339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244965050, -244965051, -244965052?\n\"Answer: -d - 244965049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Suppose 0 = l*v - v - 6. Solve 10 = -2*j, -y - j = -v*j - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 44\/1923 (c) -477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3\/6 - 4*u + 82. Let a(y) be the first derivative of r(y). Let m(k) = 13*k**2. Give a(m(s)).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-11) - (-4)\/22. Let t be (-6 - 0 - f) + 3. Suppose -3*p - 5*s - 45 + 2 = t, 0 = 4*p - 2*s + 14. What is the third smallest value in -3, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-141)\/235 - 5634\/10. Calculate the remainder when l\/18*6\/(-4) is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j. Let w be j - 1 - (2 - 4). Let q(g) = 9*g - 7. Let v(l) = -17*l + 13. Let r(u) = -11*q(u) - 6*v(u). Determine r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14361 - -30144. What are the prime factors of v?\nAnswer: 3, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2184 and -22\/58373.\nAnswer: 18212376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/39*(-108)\/18?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 - 29*f**2 - 25*f + 126. Let y be k(10). Which is the closest to 1? (a) y (b) 1\/3 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29736.21 millennia?\nAnswer: 297362.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 6784056*l**3 + 81408384*l**2 + 325633152*l + 434177280.\nAnswer: 3*(l + 4)**3*(l + 2261340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 101 = 4*h + 1220, 0 = -l - 5. Let b = h + 165. Let a = 288 + b. Calculate the remainder when a is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 57. Let l = -26 + 28. Calculate the remainder when 21\/l*8\/3 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 85*t = -39*t - 10. Solve -5*m - 25 = y - 54, -30 = -t*m - 5*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/14*-5*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -23. Which is the nearest to 2\/5? (a) -1.7 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.9123715ms to hours.\nAnswer: 0.00000247565875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24705?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 6, 25 in decreasing order.\nAnswer: 25, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118953833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 28 = 6*f, -2*f - 19 = 195*k - 184*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2008.94 - 2026. What is h rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4629, -3, 3, -0.127?\nAnswer: -4629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 126 = -4*r. Suppose 5*i + 3*s - 64 + 8 = 0, 0 = -5*i + 4*s + r. Let d = i + -3. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -20*s + 20 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**5 - 1355*m**3 - 39*m**2 - 63*m - 126717.\nAnswer: -140*m**3 - 8130*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/2*(-10 + 61 + -53).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -223666367, -447332733, -670999099, -894665465, -1118331831, -1341998197?\n\"Answer: -223666366*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13049, -26101, -39155, -52211, -65269, -78329, -91391?\n\"Answer: -d**2 - 13049*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2914774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -158 + 163 - (11 - (1 + -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 + 463 = 0. Let o = -45 - u. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = 2. Suppose 7 = 5*m + g*j + 30, 5*j + 35 = -5*m. Let p = 3.3 - -0.7. What is the second biggest value in p, 5, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((-26 - -20 - (0 + 8)) + 6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 10. Let o = -4 - k. Solve 9 = -4*z + i - o, 3*z + 2*i + 13 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 6*w - 139 = 2*h, -5*w = -7*h - 470 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 - 10160*p**2\/7 - 6461748*p\/7 - 12882888\/7.\nAnswer: -4*(p + 2)*(p + 1269)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**2 - 53*b**3 + 4*b**5 - 151*b**3 + 11*b**2 - 2*b**5 + 87 wrt b.\nAnswer: 120*b**2 - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*b + 4*l - 22 = 0, 2*b - 13 = -l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1466, -1404, -1338, -1268, -1194, -1116?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 5592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 27. Let w(j) = j - 9. Let o(u) = 17*w(u) + 6*z(u). Let g be o(0). Factor -3*s**2 + s**2 - g + 1 + 8*s.\nAnswer: -2*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 3 + -86 + 98?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 13\/6 (b) -4\/7 (c) 4\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (73\/(-146))\/(17\/(-4)*-2)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. Suppose 0 = i - c*i - 50. Suppose -4*z = -b + z + i, 5*b + z = 172. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 16*g**4 - 182 + 6*g**4 + g**3 + 181 + 2*g in the form w*g**4 + p + x*g**2 + d*g + t*g**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8385 and 65?\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 279\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/11 - 40*s**4\/11 - 1662*s**3\/11 + 13396*s**2\/11 + 59344*s\/11 - 71040\/11 = 0. What is s?\nAnswer: -24, -4, 1, 10, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5 = -4*k, -373*k - 7 = 4*p - 368*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21595753 is divided by 1881?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902144 is divided by 335.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*o**3 + 122*o**2 - 55*o**3 + 7*o - 56*o**2 - 66*o**2.\nAnswer: -91*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 133903599 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 382*d + 92. Is b(4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16524?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 30. Let w(d) = -d**2 + 3*d**q - 3*d**2 + 3*d**2. Let g(k) = 5*k**2 + k**2 - k**2. Determine g(w(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796768599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 2. Suppose 3*h + 4*k = -57, 3*h - 5*k + 60 = -2*h. What is the smallest common multiple of c(h) and 11?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 39, 28, 2, -4 in decreasing order.\nAnswer: 39, 28, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 27. Suppose g*v + 5 = v. Suppose 0 = -b - v, 0*p - 16 = 3*p + 5*b. Solve 0 = -2*k + 4, -3*k - 6 = -0*f + p*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - 24. Let x = 169 + h. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1019 or 47.13?\nAnswer: 0.1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04691 to 3 decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22532 and 8944.\nAnswer: 1171664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i**2 + 2 - 2)*(i + i - 4*i) - i**2 - i**3 + i**2)*(0 - 1 - 1).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*u + 1413 = -2006 + 339 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:45 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4901355 by 1.\nAnswer: 4901355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 104 = -15*g + 151 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1201 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 63. Let o = 58 + l. Let f = o - 17. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-22)*((-64)\/(-80))\/(9\/(5445\/88)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 7. Let v = -1 - -21. Calculate the remainder when v is divided by n - 4*(-2)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 - 12791*k**3\/2 + 9591*k**2 + k\/2 - 3197 = 0.\nAnswer: -1\/2, 1, 6394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 9*y**2 - 5*y - 18. Let i be j(-9). Suppose -19 = -28*k + i*k. Is k*(-4)\/(4\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(325)) + 2)**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 628*l + 75 wrt l?\nAnswer: 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0*(-8)\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42022 (base 5) in base 13?\nAnswer: -1346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622299 is divided by 326?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from tottttto.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1)\/(40*(-51)\/(-272))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29285826 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) + 0) + 2 - (sqrt(52) + sqrt(1872)*3 + sqrt(52))\/sqrt(4))*-2.\nAnswer: -4 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 27. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 13*d + 120. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k**2 - 45*k + 89*k + 10*k**2 + 4*k**2 - 1 - 45*k in the form t*k + d + g*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 3*p - 372, -5*i - 4*p + 465 = 0. Let v = 250 + -247. What is the smallest common multiple of i and v?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*q + 829 - 875 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/5)\/((-2)\/10). Let u(x) = 66 + 8*x - 3*x - 3*x. Let l be u(-31). Solve -o = k - l, -2*o + 3*k + 2*k + y = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u**2 + 5*u + 6. Let i be q(-5). Suppose -4 = -2*d + 5*s + 38, 4*s + 40 = 2*d. What is the lowest common multiple of d and i\/(-2) + 1\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/119 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 171960*h - 1031696. Let u be w(6). Solve 88\/3*k + u - 4\/3*k**2 = 0.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224270 and 22427?\nAnswer: 224270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 + 2*a**2 + 21*a + 52. Let d(y) = 8*y**3 + 3*y**2 + 25*y + 53. Calculate -2*d(p) + 3*f(p).\nAnswer: 2*p**3 + 13*p + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404 + -274. Suppose -c - 48 + 3 = 0. Let z = c - -71. What is the greatest common divisor of z and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 - z - 1. Let f be p(-5). Find the third derivative of 4*g**4 + 2*g**2 - g**5 - 3*g**5 - 4*g**f wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -18. Is 1\/2*(-4476)\/(-6) - h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-525)\/210)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6*(-6)\/(-1). Suppose -648 = -5*g + 5*w + 142, -4*g - w = -652. Suppose 0 = -r - 4*u - 30 + g, 3*r + c*u - 404 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = -2*u - 0*u, 4*m + 2*u - 2 = 0. Suppose -3*j = -m*g + 2184, 5*j + 20 = j. Is (56\/24)\/(1\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 175*k**3 - 3 + 3.\nAnswer: 169*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (0 + sqrt(98) + -2 + sqrt(98)))**2.\nAnswer: -28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 - -58.28. Let c = -5835.78 - -5777. Let r = c + t. What is r rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 take away -6?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 47220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 22*z**2 + 1594*z + 26552. Determine s(-26).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) -2 (c) 0.16 (d) -60 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:26 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -69124.\nAnswer: -1\/69124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6057*c**3 + 5 - 14 - 28*c**3.\nAnswer: 6029*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37468 and 83595052.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/11875 + 1151859\/95000. What is the common denominator of w and 31\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 21*q + 1. Calculate c(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d - 2. Let j be i(-4). Suppose -y - 14*y = -75. Let s = -18 - -13. Sort j, y, s in increasing order.\nAnswer: s, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737*p - 66080 = 681*p. What is the remainder when p is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-0.114.\nAnswer: 0.00684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u + 5. Let a(v) be the third derivative of v**4\/24 + 2*v**2 + 27*v. Calculate a(p(d)).\nAnswer: 25*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44559.856 * 0.04.\nAnswer: 1782.39424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 + 202. Which is the second biggest value? (a) v (b) 6 (c) 2\/11 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 32*b**2 - b. Let g be c(-1). Let y be -4*(0 + 1)*84\/48. Let t = g + y. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4 + 54*m**3 - 4212*m**2 + 30618*m + 649539 = 0?\nAnswer: -99, -9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6\/((-81)\/14 + (0 - -6)) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttftttttftt. Give prob of sequence fftt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 271 + 411 + 1122)*(-5 + 5 + 2*m).\nAnswer: 2834*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64483*v - 5779 wrt v?\nAnswer: -64483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiviiiiiviivvi. What is prob of picking 1 i and 2 v?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 + 2*d**2 - 3*d. Let r(h) = 15*h**3 - 5*h**2 + 8*h. Let p(m) = 8*q(m) + 3*r(m). Find the third derivative of p(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 32*r - 35*r. Let w(s) = -s**3 + 14*s**2 + 7*s - 79. Let x be w(r). Solve -x + 17 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -410 + 425. Let i(k) = 3*k - 1. Let d be i(7). Suppose 0 = -b + d + 1. Calculate the least common multiple of g and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1998\/(-1221))\/((-25)\/55)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -12. Let h = 36 - v. Let o = h + -44.058. Round o to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t**4 + 0*t**4 - 3*t**4 + (22*t**3 - 12*t + 12*t)*(-1 + 1 + 3*t).\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -214227697, -214227696, -214227695, -214227694?\n\"Answer: i - 214227698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 + 1. Suppose 0 = -i - 4*v + 19, 4*i - 2*v = 1 - 15. Let m be d(i). Let u = -3.92 - 0.08. Sort m, u, 0.3 in ascending order.\nAnswer: m, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 177. Suppose -b = -5*l + 41. Suppose 29*y - 20*y = 180. Calculate the smallest common multiple of l and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(15)\/sqrt(3)))\/(-5*sqrt(18)\/sqrt(2)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2980794 micrometers in millimeters?\nAnswer: 0.0002980794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63180543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 11*j - j)*(1653 - 1281 - 810).\nAnswer: 5256*j - 438","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.34143, -2.3?\nAnswer: 0.34143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s - 4. Suppose q + 4 = 4*v, -4*q - 4*v - 19 = -3. Is z(q) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*a - 993869 = -307477. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -72, -133, -196, -261?\n\"Answer: -x**2 - 56*x + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(0*u + 2 + 3*u - 5*u)*(506 - 2495 - 794)*(3 - 1 - 1).\nAnswer: 16698*u - 16698","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:03 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/(-24)*((-1294 - -1) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716 less than 202620?\nAnswer: 199904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -113*z**2 - 812*z + 5. Let o be b(-7). Calculate the highest common divisor of 209 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168\/295 + -10\/59. Which is the fourth smallest value? (a) -5 (b) l (c) -0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26344 times 0.07?\nAnswer: -0.0184408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13445 (base 6) to base 7\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 3, l: 1, r: 2}. What is prob of picking 1 r, 1 l, and 1 x?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 13. Suppose 5*b - 2408 - 967 = -3*v, -p*v + 3354 = -2*b. Round v to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479042 divided by -2\nAnswer: 239521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + y + 79 = -3*y, -y = -4. Let w(u) = -u**3 - 19*u**2 - 2*u - 32. Let m be w(b). What is the units digit of (0\/(-2) - -3)\/(9\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**5\/d)*d**(-2)*d)**31*((d**(-2))**(10\/7))**34 assuming d is positive.\nAnswer: d**(-1548\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -806 (b) -8\/3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 20 - -1688) + -12 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7309408.\nAnswer: 1\/7309408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/13 + -21\/13. Suppose 143 = -5*j + 33. Let t be 3\/(-6) - (0 - j\/(-28)). Which is the closest to 1? (a) t (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - ((-2)\/10 - 6)) + 1336\/(-280)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850403129 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g**2 - 3*g + 2. Let y be q(2). Let b = y - -68. Let f = -23 + b. Which is smaller: -5\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2025566 grams to milligrams.\nAnswer: 202.5566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 2*m**2 + 5*m - 4. Let c be w(3). What is the highest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 75 = 3*a, -2*q - 22*a + 38 = -18*a. Solve -22*i - 4 = -q*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:28 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 1. Let a(g) be the first derivative of -5*g**3\/3 - 2*g**2 + 4*g - 84. Determine -2*a(f) - 9*z(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 129.16 + -2.1\nAnswer: 127.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 11 + 4 - (-120 - (-100 + -23))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170899929631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*l + 9 = 0, 146*p + 3*l = 148*p + 27 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-9)\/(-6) + -2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 3*u**4 - 2*u**4)*(0*u + u + 0*u) + (-8*u**4 + 8*u**4 + 3*u**5)*(7 + 3 - 6) + u**5 + u**5 + 0*u**5.\nAnswer: 15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -93b6b6?\nAnswer: 93b6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 1)*(14 - 14 - 2*g) - g + 1 - 1 + 4*g - 4*g - g in the form t + k*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -m - 5*b - 0*b, -m + 3*b = -15. Let s be (11\/22)\/((-2)\/4)*m. Put 27, s, -5 in ascending order.\nAnswer: -5, s, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s)\/(s*s**(1\/6)))**(-3) assuming s is positive.\nAnswer: s**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6732341*d**2 + 2*d + 1698278 wrt d.\nAnswer: 13464682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14355 (base 6) in base 8?\nAnswer: -4377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 136. Suppose -p = 5*q - 55, 10 = -5*p - 2*q + 193. Let n = t + p. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -3*3\/(-18)*12 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 266 or 10161\/38?\nAnswer: 10161\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(65))\/(sqrt(5) - sqrt(30)\/(sqrt(6)*3)).\nAnswer: -27*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcgcss. Give prob of sequence ch.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8 + 9*v**2 - v**2 + v**3 + 0*v - 2*v**2 - 6*v. What is the units digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006905913 rounded to 6 dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -5156154?\nAnswer: 5156144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Let v = 2 + g. Suppose 6*j - v*j - 27 = 0. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + 2 + -10 + (-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 436921*p**4\/5 - 10487426*p**3\/5 + 62948353*p**2\/5 - 190392*p\/5 + 144\/5 = 0.\nAnswer: 1\/661, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (12 + (13 - 12)) - 22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1594, -1506, -1430, -1372, -1338?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -2038.2.\nAnswer: -87642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 19, 158, 445, 928, 1655, 2674, 4033?\nAnswer: 5780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/5 - 5619*q\/5 + 22524\/5.\nAnswer: -3*(q - 4)*(q + 1877)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9785209453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from mrrttmtttmmmmmm.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 4*k + 12. Let d be x(0). Suppose 11*j - d*j = -2153. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-26) - 330\/(-715).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138722757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/49276168 and -19\/2.\nAnswer: 49276168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - n**2 - 2*n - 3. Let p be d(2). Let q(o) be the third derivative of 19*o**4\/24 + 3*o**3 + 7*o**2. What are the prime factors of q(p)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/54 + 69*j. Factor x(s).\nAnswer: -2*s**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27732 is divided by 9223.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21108 = 27*n - 21*n. Let u be (-8)\/(-14) + 267978\/42. Let f = u - n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3. Let s(k) = k. Let g(y) = 8*y - 6. Let m(i) = g(i) - 6*s(i). Let x(a) = -a**2 - 134*a - 3190. Let q be x(-31). What is q*m(p) + 6*u(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 17*y - 196. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 29. Suppose y*w + 15 = -w + 2*t, -w + t = 6. Let s = -3 + 2. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**3 + 2*z**2 - 8*z - 3. Let q(c) = 14*c**3 - 3*c**2 + 16*c + 5. What is -3*q(k) - 5*s(k)?\nAnswer: -2*k**3 - k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/11*(-1 - -1). Suppose s*u = -5*u + 475. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-14) - 4\/(-14) - 0. Let b = c + 2. What is the remainder when 53 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 16. Let f(w) be the third derivative of 0 + 0*w**6 + 0*w**4 + 0*w + 1\/3*w**3 - 3*w**2 + 1\/70*w**r + 0*w**5. Differentiate f(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -35. Let s be (-9 + 6)*(4\/(-3))\/2. Suppose -5*q + 4*q = -2*r - 14, -q + s = 0. Put r, 1, x in decreasing order.\nAnswer: 1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 9*r**2 + 7. Let s be a(9). Suppose -s = 4*h - 75. What is the remainder when 48 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72893 divided by 32.\nAnswer: -72893\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -63*b**2 + 3*b + 9. Suppose 17*u - 20 = 65. Let y(t) = 63*t**2 - 2*t - 11. Let z(r) = u*y(r) + 4*w(r). Find the second derivative of z(l) wrt l.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 = 3*f + 9, 5*v + 3*f + 31 = 0. Let p(w) = -6*w + 2. Let h be p(1). Sort 3, h, v in descending order.\nAnswer: 3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o*o\/o**18*o)\/(o**(1\/6)*o*o\/(o**(-2\/23)*o)*o))**(-50) assuming o is positive.\nAnswer: o**(69875\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86222 is divided by 21554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 15, u: 3}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 15659353.4.\nAnswer: -15659353.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 261 (base 10) to base 15\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -10834, 1, -1.\nAnswer: -10834, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 + 9*b**2 + 2*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223 + 287. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27\/76 + 963\/304. Find the common denominator of n and 23\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.6. Let q = 171\/5 - 34. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120300 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (3 + -7 + 14)) + -17.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94165987 to the nearest integer?\nAnswer: 9704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.45 + 4.8. Let p = -0.15 + r. Let h = -3.8 - p. Which is the closest to 2? (a) h (b) 3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)\/a**(1\/6))\/((a\/a**(-3))\/a**(-2))*((a**3)**(1\/4))**(21\/2) assuming a is positive.\nAnswer: a**(137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3\/4, -223 in ascending order.\nAnswer: -223, -3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-4\/7)*k**(-3)*(k\/k**(-7)*k)\/k*((k**(-1\/2)*k)**(10\/11))**(-1\/75) assuming k is positive.\nAnswer: k**(6428\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 454, 868 in increasing order.\nAnswer: -1, 4, 454, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Let h = -740 + 746. Solve -h*d = -2*d - 5*s, 0 = -2*d + m*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -25. What is the nearest to -0.1 in 0, f, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose w = -i - i. Let g = -20.8 + 21. Which is the nearest to g? (a) 4 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3200 - 3167. What is the highest common factor of x and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 12:42 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.3 and -0.01.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*y - 0*j + 11, -4*y - 10 = -j. Let b(i) = -2*i**2 + i - 5. Let x(v) = -2*v**2 + 2*v - 4. Let p(f) = y*x(f) + 2*b(f). Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*16\/(-576))\/((-2)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 - 146*i**2\/7 - 512*i\/7 + 608.\nAnswer: 2*(i - 76)*(i - 4)*(i + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-780)\/(-70))\/((-62)\/(-434)) + (0 - 5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1814 + 1909. What is the lowest common multiple of 28 and i?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -3. What is the lowest common multiple of b and (4\/(-7))\/(3 - 46\/14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 8*g**3 + 0*g**3 - 3*g**3 + 24*g**2 - 24*g**2 + (g - g + g)*(-2*g**2 + 2*g**2 - 2*g**2) + 0 + 4*g**3 + 0 as a*g**3 + l + t*g + v*g**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2730 + -238. Suppose 0 = 11*b + 237 - d. List the prime factors of b.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k**3 - 2*k**2 - 8*k**2 + 2*k + 10*k**2 + 6.\nAnswer: 51*k**3 + 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450302468 to the nearest integer?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from hiyhhyhhdy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -3*m**5\/20 - m**4\/4 - m**3\/2 + m**2 - m + 8. Let j(h) = h**2 + 5*h + 3. Let f be j(-3). Is 20 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 5. Suppose 0*x - 3*x = 45. Let l be x\/4*2\/o. Which is greater: -4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0*-12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 7 = -2*y - 3*b, 29 = y - 5*b. Suppose 4*n + 0 - y = 0. List the prime factors of 18 - (0\/n + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -2*i, 7*i + 32 = 3*o + 2*i. Suppose -o*b - 2 = -x + 6*x, -5*x = 2*b - 4. Which is bigger: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o + 18. Let g(v) = -40*v - 88. Let s(h) = 3*g(h) + 14*j(h). Let b be s(-15). Calculate the greatest common factor of 81 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -351*d**3*v**4 - 14*d**3*v**2 + d**2 + 19*v**4 + 27*v**2 wrt v.\nAnswer: -8424*d**3*v + 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9378 + -675. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1550984 rounded to 1 dp?\nAnswer: 30.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9621*c**3 + 102*c**2 + 13*c - 33. Let v(l) = -3207*l**3 + 35*l**2 + 5*l - 12. Let h(b) = 3*t(b) - 8*v(b). Find the third derivative of h(k) wrt k.\nAnswer: -19242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17573 (base 8) to base 15\nAnswer: 25c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 1604772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, 0, 6, -2.\nAnswer: -4, -2, 0, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100000010111100 (base 2) to base 11\nAnswer: -114a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230066 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17085 divided by 51.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Suppose -15 + 85 = 35*n. Solve -f*h = -2*l - 16, -l + n*l + h = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/2)\/((-1)\/(-2)). Let l = 21 + b. What is the remainder when 32 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 43218*f**5 - 16551318*f**4 - 67222210*f**3 - 51996082*f**2 - 1377696*f - 9288 = 0. Calculate f.\nAnswer: -3, -1, -2\/147, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - 18. What is the units digit of -2*3\/t*11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146 and 509686.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g - 4. Let w = 99 - 89. Suppose 0 = 6*t - 10 + w. Calculate q(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 1. Let c(m) = 2*m**3 - 4*m**2 - 3*m - 5. Let x be c(3). Calculate y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 divided by 131790\nAnswer: -356\/65895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:36 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296*s**2 - 17*s + 9*s + 8*s)*(-20*s**3 + 19*s**3 - 16*s**3).\nAnswer: 5032*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 6*b - 2*b**3 - b**3 + b. Let n(s) = -5*s**3 - 14*s. Let c(l) = -5*n(l) + 8*v(l). What is the second derivative of c(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g - j - 297, 3*g - 171 = 3*j. Let d be (3\/9 - -1)\/(4\/g). Factor 4 - 4 - d*m + 0 + 4*m**2.\nAnswer: 4*m*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/15 - -2\/15. Let i = 2\/35 - j. Let v = 73 - 437\/6. Which is the nearest to -1\/3? (a) v (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 5, f: 5, p: 1, w: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -20*y + 116. Give c(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -152, -2\/3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 5362184934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/7 - 50*g\/7 + 48\/7 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40489614199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -p + 525. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11089 - -11089. Let w = 6.7 + -7. Let z = w + 0.3. What is the closest to z in b, 5, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + (-144)\/(3 + -7). Differentiate -9 + 62*o + 3 - b wrt o.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 1. Let h(l) = 10 - 5 + 5*l - 5 + 10. Let u(v) = 10*c(v) + h(v). Let z(a) = 2*a. What is u(z(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16*i - 11*i = -90, 2*w - 5*i = 39. Solve 1 = -q, -4*q - 12 = -3*d - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 93283*g + 6711208. What is x(-72)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12704689888 - 4\nAnswer: -12704689892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2188, -2206, -2212, -2200, -2164, -2098, -1996?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 5896977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4728 (base 10) to base 13.\nAnswer: -21c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316*z - 88 = 2311*z - 2*u, -5*z + 4*u = -64 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -379 - -7116. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -30*g + 25. Let x be (50\/(-8))\/(623\/28 + -22). Let z(l) be the second derivative of l**3\/6 - l**2\/2 + 2*l. Determine x*z(o) - r(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181511073 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 751485 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 17798?\nAnswer: 124586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -2. Suppose 18 = -7*x + z*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12322231222 - 0?\nAnswer: -12322231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*-1*7\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2300 - -300?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 54?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - (-5*1*sqrt(133) - sqrt(133))))\/sqrt(7) - -5*(1 + sqrt(19)*2 + sqrt(19)).\nAnswer: 5 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -588.617 + -1.383. Let j = y + 584. Which is the third smallest value? (a) 0.2 (b) -3 (c) -5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Let b = p + -1. Let o = -555\/8 - -69. What is the second smallest value in 5, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -737 + 419. Which is greater: s or -322?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*w - 18, 2 = -5*d + 3*d + 2*w. Let z be (-6)\/(-12) - 2\/d. Let p = -1322 + 1319. Sort 2, p, 4, z in increasing order.\nAnswer: p, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-104)*2*13*(-10)\/15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 190cd (base 14) in base 11?\nAnswer: 4360a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161 + 261 = -15*u. Calculate the remainder when 237 is divided by u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 4. Let k be n(4). Suppose -k*l + l - 9 = 0. Let x(b) = -2*b. Give x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -35*(0 - 6\/30). Suppose 4*r = g*z - 6*z - 2171, -5*z = -2*r - 10945. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2543 + 2603. What is the greatest common factor of k and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270281 times -8?\nAnswer: 18162248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 3*s**3 - 3*s**3 + (-1122*s + 558*s + 568*s + 152)*(-s**2 + 3*s**2 - 3*s**2).\nAnswer: -5*s**3 - 152*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93739583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 394 to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6817, 13744, 20685, 27646, 34633, 41652, 48709?\n\"Answer: f**3 + f**2 + 6917*f - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28335238?\nAnswer: 2, 67, 211457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7*t + 4. Suppose -4*p = p, -4*c = -2*p + 24. Let w be u(c). Let a = w - -10. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 7*t**2 - 18*t + 6. Let f be x(-9). Find the third derivative of 1918*v**2 - 38*v**f - 7*v**6 - 1939*v**2 wrt v.\nAnswer: -5400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c + 0*c + 5 - 4 + c**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4085 and 115.\nAnswer: 93955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1350\/(-875) - -1*10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 2 - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269204730 by -3.\nAnswer: 89734910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192723 is divided by 5840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*g**3 - 11*g - 387*g**3 + 671*g**3.\nAnswer: -143*g**3 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + 0.6. Let h = -15 + 6. Let o be (8\/30)\/(6\/h). What is the closest to o in w, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.086 - 0.028. Let i = 2679.7 - 2679.7579955. Let q = i + h. What is q rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-3)\/2)*262\/(-2096). What is the closest to -2\/3 in b, 4, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = 2*x - h, 0 = -2*x + 4*h - 8. Let u be 8 + 2 + x + 2. Suppose 50 = u*m - 3*m. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/5 - 7*y**4\/12 + y**3\/3 - 3*y. Let l(g) = g**3 + g. Let i(z) = -d(z) + 2*l(z). Find the third derivative of i(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0 + 0*z + 11\/2*z**3 + 1\/8*z**4 - 2*z**2. Is c(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294230199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/3 - 14*b**2\/3 - 35*b\/3 + 50\/3 = 0 for b.\nAnswer: -10, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58653808919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 4*m - 19. Let w be k(8). Suppose 3*o - 5 = w. Solve 2*g = o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12735271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -30*s. Let p(h) be the first derivative of -14 + 0*h**2 + 2\/3*h**3 + 0*h. Calculate p(j(w)).\nAnswer: 1800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3886.\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2 (c) 58 (d) 4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56720*o - 56749*o - 1827 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 617.898 decades?\nAnswer: 6178.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let l(o) = -10*o. Let p(y) = -3*y. Let d(j) = -3*l(j) + 12*p(j). Calculate d(i(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*n + 426 - 409 = 0, -2*q = 2*n - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.36479 rounded to three dps?\nAnswer: 1.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -3\/2*i**2 - 1\/4*i**4 + 0*i**3 - 5*i + 0. What is the derivative of k(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.8 - 116.8. Suppose 0*q = -q. Suppose -d = 4 - 3. Which is the nearest to q? (a) p (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/21)\/((-3)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-eight fifths of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -304477 * -30.8\nAnswer: 9377891.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19746126 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -2*b**3 - b**2\/2 - 8*b + 5. Let h(c) = -13*c**2 - 2*c - 17. Let y = 1894 + -1898. Give y*h(a) + 9*z(a).\nAnswer: -2*a**2 - a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-4*a**3 - 2*a**3 + 4*a**3) - 42 + 42 - 154*a**3 + 2*a**2 + a**3 - 2*a**2.\nAnswer: -151*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 72 = 212. Is f greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14344138 to the nearest integer?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:18 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5607)\/(-36846)*(-5)\/(-1)*44\/385.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 = -26. Let v = t - -8. Suppose -v*c = 3*g - 2 - 1, -2*g = -5*c - 9. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1126958, -9015626, -30427708, -72124910, -140868938, -243421498?\n\"Answer: -1126951*h**3 - h**2 - 8*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16913537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -13 - -9 - -7 - (-1 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-64) - 4\/(8\/(-3945)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639733939 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4607807851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 4*s**2 + 5*s - 6. Let h be m(4). Suppose 9*v + 245 = h*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, -3, -44, -85?\n\"Answer: -41*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 285 - 9\/(207\/299). What is the highest common factor of 510 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -950, -3049, -7090, -13721, -23590, -37345?\nAnswer: -55634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 3*n - 1 - 10. Let o be z(8). Is 2\/o + 83\/3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5417744 to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1620)\/sqrt(2)*5)\/(6*((sqrt(162) + -2*sqrt(162))*2 + sqrt(162))).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/6*(6\/(-20))\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 - -182. Let j(q) = 3*q**2 - 3*q + 1. What is the remainder when (p\/(-3))\/(((-6)\/2)\/(-54)) is divided by j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1491, -1493, -1499, -1509, -1523, -1541?\n\"Answer: -2*w**2 + 4*w - 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7651*b**4 + 11702.\nAnswer: -30604*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27)*(-495)\/(-165).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 246\/25, -5, -1, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -319, -625, -1017?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 5*l**2 + 1026*l wrt l.\nAnswer: -12*l**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78290937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*g + 4*x - 2, 3 = x. Let m be (-4*g\/(-4))\/(3\/12). Solve -2 - 2 = m*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-48)*((-135)\/(-6))\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16139 - -0.5\nAnswer: -16138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 3*b + 3. Let f(c) = 2*c**2 + 4*c - 4. Let x = -33 - -7. Let l = -30 - x. What is l*d(g) - 3*f(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105792*b**6*z + b**3*z**3 - 7*b**2*z**2 + 39*b*z**2 + 25*b + z**3 wrt b.\nAnswer: -12695040*b**3*z + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - (-51)\/(-108). Let w = -373\/4 - -4079\/44. Which is the second biggest value? (a) o (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996 = 121*y + 45*y. Let d(r) = -r**3 + 4*r**2 + 15*r - 9. Determine d(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.3536\nAnswer: 0.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -0.1 (b) -2\/9 (c) -2\/15 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 3*g**4 + 0*g**4 - 2*g**4 - g**4 + 4*g**4 + (3*g + 7*g + 2*g)*(g**3 - 4*g**3 + 6*g**3) + 4 + 2*g**4 - 4.\nAnswer: 41*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/246 and -99\/3992644.\nAnswer: 491095212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 4*v + 435 - 23*v**2 + v + 22*v**2 as q*v + g + z*v**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.060159887 to 1 dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sune when four letters picked without replacement from {e: 1, n: 1, s: 10, u: 2}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-3) + 78\/13. Let x(r) = r**3 - 12*r**2 + 9*r + 25. Let i be x(s). Solve f + 4*z + 8 = -4*f, 6 = -i*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -8528.13.\nAnswer: -8528.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**9\/252 - 35*p**6\/4 + 161*p**5\/5 - 85*p**2 + 1. Find the third derivative of k(s) wrt s.\nAnswer: 240*s**3 - 6300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875)*6)\/(sqrt(252)*2) - (sqrt(45)\/sqrt(81) - (4*sqrt(125) - sqrt(125))**2)) + 0.\nAnswer: 13*sqrt(5)\/6 + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k**29*k)\/k))\/k))**(-15) assuming k is positive.\nAnswer: k**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 128 = 150*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 2163306047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -21. Let j be 7\/d - (-1 - 0). Suppose 199 = 2*f - 2*x + 9, -x - 2 = j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -52. Let x be 3*(-4 - (-20)\/3). Let h(z) = 3*z + 5. What is the remainder when h(x) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -6*y - 2*y. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408968 and 19832.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/15 + 76*a**2\/15 - 328*a\/15 + 112\/5 = 0. What is a?\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(11\/6)\/p**(3\/11)*p**28*p**(-4\/9) assuming p is positive.\nAnswer: p**(5765\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**(1\/22)*(q\/q**(3\/2))**50 assuming q is positive.\nAnswer: q**(-273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 97 + 87 = -233 + 65 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -50.3249 to one decimal place.\nAnswer: -50.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {p: 1, z: 4, x: 3, c: 2, f: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 364856979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18782 and 56346?\nAnswer: 56346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970141.\nAnswer: 3, 31, 109, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 11*i**2 - 21*i + 6. Determine a(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110584529?\nAnswer: 11, 23, 437093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 23, 39, 55, 71?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 35587.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5.5+-3894.372\nAnswer: -3899.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 38, 121, 290, 575, 1006, 1613, 2426?\nAnswer: 3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 2, s: 1, g: 9, l: 7}. Give prob of sequence sg.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/6*(-1 + 19). Suppose 4*g - 146 = -5*j + 2*g, 3*j - 3*g - t = 0. Suppose -j = -5*v + 2*v. What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -4 + -1)*2. Suppose 208 = -v*t + 628. Suppose -t = -2*y + 464. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/4746 and 13\/138.\nAnswer: 109158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + (-48)\/(-70). Suppose -2 = 5*x - 3*x. Which is the smallest value? (a) x (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 1\/9, -8\/7, -4, 2\/1079, -108, 0.5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/(-26))\/(1\/14). Suppose l + 2*l + f - d = 0, -4*f = l - 6. What is the lowest common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 232.\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -68, -147, -258, -401, -576, -783?\n\"Answer: -16*n**2 + n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 87, -5\/3, -173?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60374 (base 10) in base 2?\nAnswer: 1110101111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 2. Let o be s(3). Does 17 divide -2 + (60\/3 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exbo when four letters picked without replacement from {o: 1, c: 1, b: 1, x: 1, y: 2, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -796, -1172, -1548?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -222 + 35 - 88*c - 151. What is the remainder when d(-4) is divided by (-80)\/(-14) - (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1283609739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -127. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 32*q = -a - 8, -10 = -a + 3*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 4, -1633, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55092 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: Expand (n**4 + 4*n**4 + n**4)*(2 + 1 - 2) + (5*n**4 - 19*n**4 - n**4)*(2 + 2 - 2) - n**4 + 0*n**2 + 0*n**2.\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 87?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571682684 divided by -4.\nAnswer: -142920671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q*q)\/q**4)**(5\/12) assuming q is positive.\nAnswer: q**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - v**3 - 3*v**3)*(2*v + 2 - 2) + 2*v**4 - 5*v**4 + v**4 - v - 2*v**3 - v + 13*v**4 - 22*v**4.\nAnswer: -13*v**4 - 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 6*t + 4. Let v be i(-4). Calculate the greatest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042346 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.92542mm to centimeters.\nAnswer: 5.292542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-21) + ((-54)\/(-7))\/1. Suppose -3*k = -15, 0*g + a = g + k. Solve 0*l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 - f + 2. Let l(r) = r**2 + 5*r + 5. Let p(h) = -h**2 - 6*h - 6. Let s(z) = 6*l(z) + 5*p(z). Give d(w) + 4*s(w).\nAnswer: -4*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*k - 167, 270*a - 274*a - k + 173 = -0*k for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0 + 7. Let f(m) = m**3 + 9*m**2 + m. Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 8*k + 4648. Does 3 divide k\/(-35) + (-2)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/24*(1 - (-6)\/2). Put y, 4, 5, 6 in increasing order.\nAnswer: y, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11, 0.2, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 3, i: 3, e: 6}. Give prob of sequence lll.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + -1*(sqrt(104) - (sqrt(104) - sqrt(104)*2))))*6)\/(sqrt(1152)*-1*-6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8)*(-8)\/(-2). Sort f, 5, -9, -1 in ascending order.\nAnswer: -9, -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*s - s - 8 = 0, -4 = -2*q + 2*s. Suppose 1 = 3*v + 5*m, -v + 2*m + 8 = q*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*m + 3 - 4 = 0, 4*c - 4*m - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 918?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let l = p + -8. Let n(h) = h**3 - 2*h**2 - 3*h + 4. Let m be n(3). Sort m, -0.2, l in descending order.\nAnswer: m, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733740, 1733840, 1733940, 1734040?\nAnswer: 1734140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 2. Let d be u(-2). Let r be (6\/d)\/(3\/4). What is the tens digit of r + 12 + (-1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((1 - 1) + 8\/16). Solve k = 6 - v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22996.5 days in nanoseconds?\nAnswer: 1986897600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1105 + -1104. What is the remainder when 35 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -616 by -4.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.765443 rounded to two decimal places?\nAnswer: 84.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 0.1, -3, 7\/2, 0.29, 169, 2\/11?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(-3) - (-7)\/(49\/26096)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*(598\/(-91))\/(-23)*(-14)\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5100246393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 6:54 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - k + 11 = 0, 3*a = 2*k + k + 27. Suppose -3*r = 11*r - 56. Find the second derivative of 18*i + 2*i - 6*i**r + 22*i**a wrt i.\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.2 + 5.19974. Round i to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (3 + 4 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**6\/6 + 2*a**4\/3 - a + 4. Let h(p) be the first derivative of g(p). Find the third derivative of h(b) wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4259 + 483 = 2*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -16446?\nAnswer: 4933.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19972*g + 17313*g - 37283*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*o**3*s - 5753*o**2*s**2 + 2*s**2 - 144*s - 90 with respect to o.\nAnswer: -303*o**2*s - 11506*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(7\/3))\/k*k)\/(k\/((k*(k\/(k\/k**(1\/5)*k)*k)\/k*k)\/k)*k))\/(k\/((k**(-3)\/k)\/k)*k*k)**16 assuming k is positive.\nAnswer: k**(-1882\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -29*w - 2777. Let r be t(-96). Suppose -3*n = -0*n - 12. Sort 0, -5, r, n in descending order.\nAnswer: r, n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/58 and 3390\/(-80)*4\/21?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 12*a**2 - 4*a + 381. Determine g(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048199 rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*l - 3 = -13, -5*l = 15. Suppose 4*a - 2*f = 10, -5*a - 7*f - 10 = -2*f. What is the first derivative of r*h - a + 5 - 2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-544)\/(-16) + 1428\/(-48))\/(30\/(-16) + 2)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017421 rounded to seven decimal places?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889699.\nAnswer: 889699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 11*i. Let l = 10 + -5. Suppose -l*f + 2*n = -i*n - 93, 0 = -2*f - 3*n + 41. Solve 4*k + 9 = a + 4*a, 0 = -3*a - k + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -24) + -1 + (-538 - -533).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/(8\/(-864)). Let i = -151 + f. Let h = 7 + 34. What is the remainder when h is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - q = -9 - 6 + 6, 28*q - 330 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 8*q - 2*q)*(189*q**2 - 216*q**2 + 89*q**2) in the form f*q**2 + c + r*q**3 + x*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 1, -21, -61, -125, -219, -349?\n\"Answer: -j**3 - 3*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {m: 1, l: 2, k: 1, r: 7, h: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q - 75 = 73*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30390 divided by -6.\nAnswer: -5065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21067 - 17994.8. Round x to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 3. Suppose b - n - 112 = q*n, 4*n + 592 = 5*b. Find the common denominator of (0 - 2) + 546\/b and -83\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 172743?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -411\/2198?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1413\/(-3297)*14\/(-6)*63*(-16)\/24?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2803 or 1858624\/663?\nAnswer: 1858624\/663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208247140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -3*q + 44 - 26, -3*w - 90 = -3*q. What is the lowest common multiple of q and 368?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62845 to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 2*f)*(-5 - 1 + 4)*(-3*f**2 + 2*f**2 - 2*f**2) + 0*f**2 - f**3 + 0*f**2.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/((((w*w\/(w**(9\/5)*w)*w)\/w)\/w)\/w))\/w))\/w**(2\/15))**(10\/9) assuming w is positive.\nAnswer: w**(-88\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u**3 + 2*u**2 - u + 2 - u**3 + u**2. Suppose -2*p = p - 9. Give w(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/120600 and -187\/1430760.\nAnswer: 1437913800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28542 - 9377. What are the prime factors of s?\nAnswer: 5, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284822 divided by -6.\nAnswer: -142411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(1794\/(-567)))\/(4\/(-8)). Let f = x + -11\/23. Which is the smallest value? (a) f (b) -0.4 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 84 + (-22 + -10 - -30 - 14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 49\/2. Suppose x + 1 = 2*x, -5*f - 2*x = 18. Which is the nearest to -0.1? (a) -0.2 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 3*v**2 + 4*v + 6. Does 6 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48075 greater than or equal to -3\/1150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108014, -215927, -323842, -431759, -539678, -647599, -755522?\nAnswer: -863447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7106 (b) 1.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 15*q - 5. Let l(c) = -3*c**2 + 21*c - 7. Let x(h) = -7*b(h) + 5*l(h). Let j(w) = -455*w + 2. Give j(x(s)).\nAnswer: 455*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -14) + 17 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + i**2 + 4*i**2 - 6*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Let x be 3*2 - (v + -3). Suppose 3215*f - 3223*f = -24. Solve -x = z + f*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 84. Suppose 2*g - 262 = b. Let q = g - 100. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 16236\nAnswer: -16235.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5718200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/74176 and 25\/83448?\nAnswer: 667584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2329801, 2329800, 2329799, 2329798, 2329797, 2329796?\n\"Answer: -t + 2329802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*r**4 + 4*r**3 - 34*r**2 + 4*r.\nAnswer: -2064*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1258 - -1264. Which is the nearest to g? (a) -2 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (48\/70)\/(((-6)\/8)\/((-3738)\/1424))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 7. Let j(m) = -3. Let b = 5 + 5. Suppose -b - 10 = -4*q. What is q*j(h) - 2*y(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -23)\/2 - 0. Let i be (4\/(-10))\/(x\/50). Sort 5, i, -0.4 in increasing order.\nAnswer: i, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -51*l**2 + 2*l + 2. Calculate y(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 41*z**2 + 5*z + 12. Let a be o(-5). Let y = a - 563. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 1 + 11*h + 0*h**2 + 6*h**2 - h**2 in the form b*h + z + d*h**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000584439 rounded to 7 decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119\/5 + 24. Which is the closest to -2? (a) -3\/4 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3326, -0.3, 1.278 in ascending order.\nAnswer: -4, -0.3, 1.278, 3326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 15, 36, 65, 102?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 5*n + 21, -10*n = -5*j - 5*n - 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 32 + 11*h**2 - 17*h**2 + 4*h - 40*h**2. Let a(s) = -41*s**2 + 3*s - 32. Let l(k) = 4*a(k) - 3*j(k). Differentiate l(d) wrt d.\nAnswer: -76*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 + 17 = 5*p + 4*a, 0 = 3*p - a - 417. Let f be (-35)\/p + (-1 - (-199)\/(-4)). Let g = f - -72. Is g 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 36 and 4068?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110010000 + 111?\nAnswer: 101010110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 117, 0.06, 5, -1\/45, 1\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 25*a**2 + 55*a + 45. What is the least common multiple of 22 and l(-27)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -41. Solve 2*s - 7*s = -10, z = u - s - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 10*u + 79. Let v be g(-15). Suppose -15 = 4*q - 3, 0 = z + v*q - 671. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, t: 2, l: 2, q: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167\/25 + -147\/25. Find o, given that -2\/5 - x*o - 2\/5*o**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2500 = -5*w + 5*c, -w + 36*c - 41*c = -494. Suppose -33*t + 326 = -w. What is the remainder when 149 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - 23*w**2 - 6*w - 20. Let x(s) = -s**3 + 8*s**2 + 2*s + 7. Let d(j) = -6*v(j) - 17*x(j). Calculate d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343070293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 9. Let q = 4 + g. Suppose f = 2*s - f - 14, 2*f - q = -4*s. Solve -8 = 3*c - 4*b, -c - s*c - 3*b + 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-754)\/(-4901))\/(1760\/(-130)).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5 - 2. Solve j - u = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 193. Let u(t) = -2*t - 60. Let k be u(0). Let h = k - s. Calculate the greatest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u + 1\/390*u**5 + 1\/26*u**4 + 0 + 5\/39*u**3 + 36*u**2. Factor n(s).\nAnswer: 2*(s + 1)*(s + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/13 in 3\/7, 0.4, 2.4, 3\/5, -0.12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*b**3 + 129716*b**2 + 1072*b = 0. Calculate b.\nAnswer: -268, -1\/121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.642567 and -0.0426.\nAnswer: 1.599967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7705996 months to millennia.\nAnswer: 0.0002308833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -27. Let b = y + 9.975. Let k = -1.765 - b. What is k rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 285 + 250*m - 252*m.\nAnswer: -2*m + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 237975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {t: 7, y: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 14. Let b be p(-7). Let n = b + -33. Let v be (-2)\/4 + n\/(-6). Solve 2*y + 11 = 5*z, -y + 16 = v*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*r**2 - 114 - 112*r**2 - 65 + 63*r**2 + 179.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 75, 103, 131, 159?\n\"Answer: 28*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 + 5*c - 5. Let w(s) = -6*s**2 + 6*s + 7 + s**3 - 4 - 9. Calculate 6*j(a) - 5*w(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545034 (base 6) to base 11.\nAnswer: 30a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2. Let i be 9 - (-4)\/(-5)*5. Suppose 4*r + i*f = 8, -8 = -5*r - f + 2. Let p(v) = -24 + 18*v**r - 17 + 41. Determine p(l(o)).\nAnswer: 162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5884 - -5879. Put q, 10, 76, 1, -2 in descending order.\nAnswer: 76, 10, 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 5\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 3*u**4\/4 + 5*u**2. Suppose 0 = 9*g - 5*g - 88. Let q(o) = -o**2 - g + 14 + 8. Determine q(y(b)).\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 + 247.233. Let w = 0.1969 - f. Round w to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020598209 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4))\/(r\/r**17*r)*r*r*r*r*r**(-6\/7)*r*r\/(r*r*r**(1\/3)*r)*r assuming r is positive.\nAnswer: r**(1601\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + 0?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 611*d + 12004. What is y(19)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**47*r)*r*r**(-10)*(r\/(r*r\/r**(11\/4)*r))\/r*r**(-33) assuming r is positive.\nAnswer: r**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 51*l**2 - 109*l**2 + 83*l**2 + 35. Let t(y) = y**2 + 1. What is -2*g(v) + 70*t(v)?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(1425\/(-10)) + (-176)\/(-30). Let m(h) = -h**3 + 7*h**2 - 3*h - 8. Give m(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522658046.\nAnswer: 2, 3, 7, 13, 398393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3*s - 3. Let r be t(2). Suppose 10*u - r*u = 438. Let o = u - 83. Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11012 - -201230?\nAnswer: 212302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102.536 centimeters in kilometers?\nAnswer: 0.03102536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 15 - 126523*q - 46 + 126513*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 225*x**3 + 5223*x**2 + 9775*x + 4776.\nAnswer: (x + 1)**2*(x + 24)*(x + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)*j**(5\/8))\/(j**3)**40 assuming j is positive.\nAnswer: j**(-4767\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051*w**2 - 566*w**2 - 503*w**2.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10557*p + 9404*p - 43288*p - 34685*p)*(-2 + 3 + 1) to r*p + i and give r.\nAnswer: -116024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -15.2 (c) -2503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*d - 108*d + 387*d.\nAnswer: 483*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 3*n**2 + 3*n. Let s(g) = -g - 1. Let d be s(3). Let z be w(d). What is the nearest to 2\/9 in z, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*2*(((sqrt(80) + -2*sqrt(80))*-2 + sqrt(80))**2 + 2*(1 + sqrt(80) + sqrt(80)) + sqrt(80)).\nAnswer: -8664 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.028?\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9331438 is divided by 454?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*w**4 + 77118521*w**2 + 662934071?\nAnswer: 20*w**3 + 154237042*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 5. Let x be y(0). Let t = 14\/3 + x. Let k = -0.2 + 0.3. Which is the closest to -0.1? (a) t (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8219 (b) 0.4 (c) 1\/22 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 4. Let g be a(3). Let b = 2.346 - 0.346. Put b, g, -2\/13 in decreasing order.\nAnswer: b, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.82057 rounded to one dp?\nAnswer: -122.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/11 - 250*y**2 + 81150*y\/11 - 605250\/11 = 0. What is y?\nAnswer: 15, 1345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h**2 - 8*h. Let t be 12\/(-5) + (-10)\/(-25). Let s be (t\/(-1))\/((-3)\/12). Let v(y) = y**2 + y. Determine s*v(a) - n(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8071904 divided by 72\nAnswer: 1008988\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -2198.4.\nAnswer: -2198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*16\/(-12))\/((-5)\/((-240)\/(-8)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 9 - 17*v + 3*v + 10*v. Let d be a(-7). Let b = -3 - 1. Sort b, 5, d.\nAnswer: b, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (176\/12)\/(-11)*((-2)\/16 - (-87)\/(-24)). Let y = -4 - -1. Let a = 1.5 - 2. What is the biggest value in w, 1\/3, y, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 555 (b) 0.4 (c) 72\/7 (d) 0.9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3 - l - 18 - 5*l - 3*l. Let r(z) = 4*z + 7. Determine 2*a(m) + 5*r(m).\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 50213*m + 22. Let d be f(9). Let p = -18613850 - -32861911. Suppose -d = -r + p. Round r to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*z**(-2\/7)\/z)\/z*z*z)**(-1\/15)*z**(2\/11)*z**(-1\/13))\/(((z\/z**2)\/((z\/z**(-1))\/z*z*z))\/(z*(z\/(z\/(z*z**(-2\/3))))\/z)**24) assuming z is positive.\nAnswer: z**(179038\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/24 - 5*d**3\/6 + 3*d**2. Give m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1108544615 and -1.\nAnswer: 1108544615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7264 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2266, 2244, 2212, 2164, 2094?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 45*y - 6. Let z(o) = -901*o + 119. Suppose -5*u + 192 = -2*f - 409, 4*f - 226 = -2*u. What is u*b(l) + 6*z(l)?\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:54 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 13) to base 14.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijiigiiiggiig. Give prob of picking 4 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.077 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 9*z - 9*z + 9*z**2 to the form c*z**2 + w*z + k and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31031 and 691145.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7354, -0.1, 0.2, 1, -5 in ascending order.\nAnswer: -7354, -5, -0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2899, 1105, -1871, -6029, -11369?\n\"Answer: -591*c**2 - 21*c + 3511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3308*c + 725*c + 1756 + 744 = 10249 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0.4 (c) -3\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 763, 4, 3, 1, -10, -5, 2\/201?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122840321 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(2\/31))\/o)*(o*(o\/(o*o*o**(-9\/5)*o))\/o*o)\/o*o*o*o)\/((o\/o**13)\/o**9))**(1\/4) assuming o is positive.\nAnswer: o**(1927\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6603251?\nAnswer: 2153, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -448852\nAnswer: -5\/448852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 13*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -4*o + 45, o - 25 = 3*w. What is the remainder when 29 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j + 1 - 13 = 3*i, -1026*i + 1023*i + 4*j + 3 = 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 6, -2, -4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does -25281 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29723*b**3 + b*m**2 + 57092*m**2 wrt b?\nAnswer: -89169*b**2 + m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45243215 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 3119 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 13) in base 4?\nAnswer: -12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(0 - 0). Let h = o - -9. Calculate the remainder when h is divided by 4*((-33)\/(-44) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k + 1. Suppose 4*b - 9*b - 5 = 0. Determine y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/770 and 157\/462.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570160 (base 8) in base 14?\nAnswer: -bba36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 410 times 2\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/20820 and 179\/7786680.\nAnswer: 7786680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let v(l) = -20 + l**3 + 2 - 4*l - 2*l**2 - 10*l**m - 31*l. What is the units digit of v(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/190 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -28225 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2*y**3 - 2*y**3)*(-3*y**2 + y**2 + y**2) + (2*y + y**2 - 2*y)*(2*y**3 - y**3 - 4*y**3) - 2*y**5 + 4*y - 4*y.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-72 - -8)*-16. Let q(h) be the first derivative of 11 - 1\/48*h**6 + 5\/16*h**r - 1\/8*h**4 + 1\/12*h**3 - 1\/10*h**5 + 1\/4*h. Factor q(v).\nAnswer: -(v - 1)*(v + 1)**3*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29754 divided by -38.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 5*k + 8. Let g be b(5). Let d(n) = -g*n + 8*n + n + 3. What is d(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 201\/8. Let d = c - -21. Let r be 1 + (-3 - 8\/(-4)). Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*x + 7383, -1 = -2*x + 1. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 106 = 4*i + 2*l, -i - 2*l - 39 = 0. Let k = i + 22. What is the common denominator of k\/((-420)\/9)*(-1150)\/(-36) and 109\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15 = -0*k. Suppose 5*r - k*m = 0, 5*r - 9 = -m + 3. Solve -2*b = -r + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*o + 7 = -7*o, -2*g - 5*o = -11. Let v be (80\/24)\/(3\/g). Factor 18*f**2 + 8 + v*f - 8 - 13*f**2.\nAnswer: 5*f*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3826?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1. Let c be s\/10 + (-7)\/(-35). Suppose -3*v - r - 2*r = 12, 0 = -5*r - 20. Is c > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1163594 rounded to 4 dps?\nAnswer: -0.1164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*h + 33, 5*h = j - 0*h + 23. Are 2 and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*(((-675)\/(-27))\/(-75))\/((-4)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -15243*x + 167672. Determine u(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 3\/314, 2\/13, -51\/5, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17612, 17612, 17614, 17618, 17624?\nAnswer: 17632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0296888 rounded to 4 decimal places?\nAnswer: -0.0297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -106 + 13*t**2 + 42 + 63. Let v(s) = -s. What is v(c(y))?\nAnswer: -13*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -739 + 787. What is the biggest value in 0.4, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25280 - -2397. List the prime factors of m.\nAnswer: 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 3*x + 5. Let p(t) = 5*t**2 + 4*t + 8. Let v(y) = -5*p(y) + 8*s(y). What is v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i - 10. Let r be o(4). Let m be r\/4*(-36)\/54. List the prime factors of ((-10)\/m)\/((-1)\/31).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -82, -126, -174, -226?\n\"Answer: -2*l**2 - 34*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 57695, 1.\nAnswer: -1, 1, 3, 57695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 + 597. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51628\/65 - 3972\/5. Let x = -1\/13 + d. Let n = 65\/3 + -22. Which is the smallest value? (a) x (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 5*i - 1. Let b be n(6). Suppose 0 + b = 5*h. Suppose 0 = -5*y + 4*y. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 69 (b) -4 (c) 2\/5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5 - 582*u**4 + 3897*u**3 + 104226*u**2 + 231720*u - 339264 = 0.\nAnswer: -8, -4, 1, 19, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.635741 to one dp.\nAnswer: -101.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57255106?\nAnswer: 2, 29, 41, 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q. Let j be (1 + (0 - q))*-9. Let i be 1\/(j\/(-6)) - (-205)\/(-15). Which is smaller: i or -47\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/4 - x**3\/3 - x**2\/2 + 6. Let u(w) = 2*w**3 + 4*w**2 + 2*w + 4. Let v(r) = -u(r) - 3*y(r). Calculate v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -244491, -244306, -244133, -243978, -243847, -243746?\n\"Answer: -o**3 + 192*o - 244682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/510*3*(-19)\/((-76)\/10).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100976449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -107*u**3 - 28*u**2 - 4*u. Let k(q) = 110*q**3 + 29*q**2 + 4*q. Let o(v) = -6*k(v) - 7*s(v). What is the third derivative of o(p) wrt p?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1416, 2718, 4022, 5328, 6636, 7946, 9258?\n\"Answer: v**2 + 1299*v + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from xwiwwwwxsiwxxsswx.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/13 (b) 13\/4 (c) -4\/95 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 8*u**2 - 6*u + 13. Calculate t(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 9 - (0 - 0). Let i = w + 1. Suppose i = 2*a - a - 19. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202220002122 - 1?\nAnswer: -202220002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1097495 and 2351775?\nAnswer: 16462425","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 44555183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 9\/4, -4, 0.3, 0 in descending order.\nAnswer: 18, 9\/4, 0.3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734402 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose y + 3*y + t*s = 18, 3*s + 3 = 0. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-450)\/5775)\/(18\/(-14))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -27. Suppose -v - 43 = -6*p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59482521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89825.\nAnswer: 5, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 11 - 5*x - 3 + 2*x**2 - 2 + 2*x. Give u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -139.\nAnswer: -40\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 446*p**6 + 6*p**4 + 315*p**2 + 3. Let v(g) = -g**6 - 2*g**4 - g**2 - 1. Let k(w) = -b(w) - 3*v(w). What is the third derivative of k(a) wrt a?\nAnswer: -53160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4174 (base 9) to base 15\nAnswer: -d94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23544\/27 - (-4)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6583766 to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/42 + 1 - (-36)\/21. Solve -u - 1 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 543 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:19 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69004 = -2*i - i + x, 3*i = 2*x + 69008. What is i rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 3\/43, 5.1?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1378\/((6 - -8) + -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31141*u - 1 = -31144*u + 4*z, -4*z = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -1)\/(-1) - 123\/(-39). Let z = -181003024\/968235 - -2\/56955. Let l = z + 187. Put -1\/4, 4, l, b in descending order.\nAnswer: 4, b, l, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3841736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*w - 1202 + 1233 = 0, 8 = i - 2*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -5, 41\/10, -8 in descending order.\nAnswer: 25, 41\/10, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 7 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 5:15 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -724 + 730. Let r = 5 - -2. Find the third derivative of -r*j**2 + 14*j**2 + 4*j**6 - 14*j**h wrt j.\nAnswer: -1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73053110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2571 divide 36811578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -4*j**3\/3 - j**2 + 2*j - 49. Let i(v) = 3*v + 2 + 5*v**2 - 5 + 1 - 1. Let t be 4 - ((-1 - -2) + 0). What is t*r(q) + 2*i(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - ((-6 - (-1 - 5) - 13) + 1).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*(sqrt(88) + sqrt(88)*1))\/((sqrt(8) + -2*sqrt(8))*-2) - (-1 + (sqrt(704)*-1)**2)*1).\nAnswer: 5*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256037710.\nAnswer: 2, 5, 25603771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(210\/140)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6625 + 60264?\nAnswer: 67111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -96, 29 in descending order.\nAnswer: 39, 29, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 121, 426, 909, 1570, 2409, 3426, 4621?\n\"Answer: 89*q**2 + 38*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/226778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 - 6*s + 2. Suppose -2*m - q + 21 = m, 2*m - 14 = 2*q. Give x(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 31*f - 99. Solve 18 - 7 = -f*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35924, 71847, 107770, 143693, 179616, 215539?\nAnswer: 251462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 + 273*c**3 + 39 - 231 - 153*c**2 - 156*c**2 + 309*c**2.\nAnswer: 273*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 34*f**2 - 301*f - 45. Give g(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let n(b) = b**2 - 6*b - 52. Let c be n(11). Let o(u) be the first derivative of 0*u**2 + 7\/3*u**c + 0*u - 2. Calculate f(o(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.38889 + 0.09089. Round k to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -410 - -406. Let u be (-30 - -28)\/(s\/18). Suppose -2 = 4*t + 2. Sort t, u, 1 in descending order.\nAnswer: u, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, 2303\/9, 4, -5?\nAnswer: 2303\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 13*o**2 + 167*o + 13. Calculate i(-21).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -447*r + 452*r + 24, 0 = -5*r - 5*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x + 19*x - 835 - 423. Solve -66*t = -x*t - 87 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -12. Let i(n) = n**2 - 19*n - 17. Let y be i(20). Sort 2, v, y in decreasing order.\nAnswer: y, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 131127525*g**2 + 1432868918821704*g + 1432869049949232.\nAnswer: 3*(g - 21854588)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*t = -4, t - 2 + 4 = -h. Is 2\/67 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/13 - 54910*p**2\/13 + 824000*p\/13 - 2747000\/13 = 0. What is p?\nAnswer: -27470, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 673. Is 54 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920794.77 seconds to days.\nAnswer: 10.657346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k**5 + 25470*k**4 - 84070*k**3 - 3540*k**2 + 84035*k - 21930 = 0 for k.\nAnswer: -731, -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.7. Let k be (-63)\/(-28)*14\/(-441)*-7. Which is the nearest to 1? (a) k (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 9\/7, -90.8, 0.03, -2\/5, 11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54 - 10)*(-70)\/(-4). What is the remainder when (-18)\/(-27) - f\/(-15) is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*n - n**4 - 32*n)*(-5*n - 6*n + 3*n)*(5 - 5 - 4)*(-3 + 4 + 0).\nAnswer: -32*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 196 + 208 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.3 + 1.2. Let q = -17 + 12. Let f = q - v. Sort f, -3, 0.5 in descending order.\nAnswer: 0.5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**0*w))\/w)**39\/(w\/(w**(-3)*w*w)*w*w\/w**5))\/(w**(-3\/8)\/(w\/(w*w**1))*(w*w\/(w**3\/w))\/(w*w**(-1\/5)\/w)) assuming w is positive.\nAnswer: w**(-1553\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 955 and 4393.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*s + 17139 = -43*s + 23*s for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let g = -0.58 - -0.08. Let w = 5 + -4.7. Which is the nearest to 0.1? (a) v (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -7, -31, -3\/5, 2\/9, -7\/2, 51?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17510475 is divided by 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412370 and 4384?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**1*n)\/n*n*n)**(-18)\/(n**(1\/16)\/n**(-2)))**30 assuming n is positive.\nAnswer: n**(-13455\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Let o = h + -5. Let w be (2\/(-5))\/(3\/(-5)). Which is the third smallest value? (a) o (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 8 + -16 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-10))\/(3\/4). Let z = 935 - 929. Solve -l*f - 4 = -z*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -15*j**2\/2 + 3. Let z(k) = -k. What is z(g(v))?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76691*l*r*z**3 + 2*l*r*z**2 + 11*l*z**2 + 60*l*z + 2836*r wrt z.\nAnswer: 460146*l*r*z + 4*l*r + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 16*q - 48. Let o be b(11). Suppose 4*n + 31 = c, o*c + 4*n - 13 = 4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(175) - sqrt(175))**2*-1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/306)\/(44\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:20 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4*2\/(-144)). Let v(f) = -18 + d - f. Let q(r) = 4*r**2. Give q(v(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251 - -276. Solve 3*f - 10 = q, 3*f + f - r = -q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 2*b + 2)*(4*b - 4*b + b**2)*(56*b**2 + 108*b**2 + 38*b**2).\nAnswer: 202*b**5 + 404*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:44 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + p + 22. Let s be d(6). Let u = s - -77. Let n = -28 + u. Solve -4 = f, -l - 3 = -f - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose 6*g = -5*n + g + 10, 8 = 4*n - k*g. Solve 0*p + n*p = 5*h + 15, -9 = 4*h - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 72*t + 14*t = -164. Let z(w) be the third derivative of -2\/5*w**5 + 0*w + 64\/3*w**3 + 0*w**4 + 0 + 7*w**t - 1\/30*w**6. Factor z(i).\nAnswer: -4*(i - 2)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5356082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54835 is divided by 532?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) 3 (c) -4 (d) 442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(3900) - 2*sqrt(3900)))\/sqrt(3).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - j + 2*j**2 - 2 + 12*j**4 - 19*j**4 to l + y*j**4 + r*j + n*j**2 + b*j**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10011101010110 (base 2) to base 7\nAnswer: -41234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*o + 3 = -5*o, -2*v - o + 4 = 0. Let g(p) = -p**3 - 47*p**2 - 46*p - 2. Let d be g(-46). Is v greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02854745 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3d3c (base 15) to base 8\nAnswer: 31463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10468 + 3?\nAnswer: 1046b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15397583476583 from 11.\nAnswer: 15397583476594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 38076832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -1\/4*v**4 + 38 + 5*v**5 - 67\/3*v**3 + 0*v**2 + 0*v. What is the third derivative of s(l) wrt l?\nAnswer: 600*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -152755?\nAnswer: -152760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2118555263 - 0?\nAnswer: -2118555263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2910, -4 in decreasing order.\nAnswer: -2, -4, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(52\/130). Let a = 4 + -1. What is the biggest value in a, 0.1, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.38871 to 2 dps.\nAnswer: 30.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11 + -6*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1369 = -5*z - 1327, -5*z + 48 = 4*n. Solve 328*d - 330*d + n = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*0.4.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 233020222 (base 4) to base 16\nAnswer: 2f22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 61 = 79 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5922 and 1140314.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(25\/3)\/(t\/(t\/(t\/t**(-1\/14)))))\/(t**(-2\/21)\/(t\/(t*(t*(t**(-40)*t)\/t*t*t)\/t))) assuming t is positive.\nAnswer: t**(635\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 456918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/12)\/((((-1)\/(-3))\/1)\/((-10)\/(-40)))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.702 and -1649372605?\nAnswer: 1649372605.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31127 divided by -1?\nAnswer: 31127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002493690 rounded to the nearest 1000000?\nAnswer: 11002000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-396)\/56 - -7)\/(11 - 420\/40)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -m - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*a = -2*u + 90, -31 = u + 2*a. Let l = u + 34. Calculate the remainder when 49 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 2*p**2 + 4*p + 1. What is j(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03386 and -2.\nAnswer: -0.06772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 34. What is the greatest common divisor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(224) - sqrt(224)*-1)*3)\/((sqrt(70) + sqrt(70) + -2*sqrt(70))\/sqrt(10) - (sqrt(7) - 1*sqrt(63) - sqrt(7))) + 3.\nAnswer: -16*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172875 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2157142.\nAnswer: 4314284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaalllllaaallallzl. Give prob of picking 1 l and 2 a.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**3\/6 - 9*m**2\/2 - 11*m. What is the first derivative of c(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**7*h)\/(h\/h**(-1\/5)))\/(h**(-3\/5)\/((h\/h**1*h)\/h)))**(1\/41) assuming h is positive.\nAnswer: h**(37\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47363 - 27940. Suppose -p = s - 4*a - 99931, 3*a = -6. Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 507*p**5 + 334464*p**4 + 55493775*p**3 + 109653750*p**2 = 0?\nAnswer: -4275\/13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-4)\/(-24) + -30. Let l = -10 - u. Solve -8*c + 4*c = -l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2092, 2093, 2094, 2095, 2096?\n\"Answer: n + 2091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r - 36*r**2 + 22*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 582488*o - 1747454. What is u(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5359, 5340, 5321, 5302, 5283, 5264?\n\"Answer: -19*p + 5378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koe when three letters picked without replacement from ieoinkke?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 156*k**2 + 2*k - 2*k + 2*k - 2*k**4 - 140*k**2 as r + v*k**2 + a*k + h*k**4 + o*k**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -459 + 557. Calculate the highest common divisor of w and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 190. Let m(f) = 2. Calculate c(z) + 4*m(z).\nAnswer: z - 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*s - 20484 = -109*s + 192*s. Calculate the remainder when s is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11551 + 11587 - (9 - (-1 - -2))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 746?\nAnswer: 8952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 0.4 (c) -4\/19 (d) 3 (e) -6 (f) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8429*c**2 - 6*c + 8426*c**2 - 16853*c**2 + 6*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - 102?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 88 = 3*i. Suppose 0 = -3*r - 4*k + 20, -5*k = r - 5*r - 25. Suppose r = y - 4 - 35. Calculate the remainder when y is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96009 is divided by 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 250 = -5*n, -23 = 2*g + 3*n - 119. Suppose 6 + g = -6*o. Do o and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 6. Let n be o(-3). What is the greatest common factor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1307.5999974108 - -1307.6. What is x rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 285084 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 270. Let u(x) = -t + 2*x + 54. Let c(o) be the first derivative of -5*o**2\/2 + 1. Determine u(c(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -0*s + 42. Let n = s + -7. Let a be (-2 + -6)\/(-16 - n). Solve a*g - 15 = 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -311*x**7\/14 - x**6\/15 + 355*x**4\/12 + x**3\/6 + 85*x + 4. What is the third derivative of q(p) wrt p?\nAnswer: -55980*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -76. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 588923055*f**2 + 17341517941065120*f + 17341518529988180.\nAnswer: 5*(f - 58892306)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 13*h**2 + 2*h + 26. Calculate b(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 37*a + 244. Let x(t) = 3*t**2 - 74*t - 491. Let f(n) = -5*i(n) - 3*x(n). Find the first derivative of f(r) wrt r.\nAnswer: 12*r + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3 + 0 + r - 1. Let m be (-387)\/12*-1 - (-3)\/(-12). Suppose 0 = -k - 5*o + m, -4*o + 3 = -17. Give t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 1291?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**3 + 0 - 1\/112*r**8 + 0*r**7 + 1\/30*r**5 + 0*r**6 + r**2 + 0*r**4 + 0*r. What is the third derivative of d(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80943600 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -5689000 rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eff when three letters picked without replacement from xjfexfxxfxgexfxf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a + 8207 - 15*a - 8207.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33306067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -1.7. Let n = -1.31 - p. What is n rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/8 - 5*l**3\/6 + 19*l**2 + 2. Let n(q) be the third derivative of q**4\/24 - q**3\/3 - q**2. Determine 3*k(y) - 7*n(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9060000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.81 + -9.21. Let s = 0.42 + 5.58. Let l = v + s. Round l to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -40*z - 130 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -156, -153, -150, -147?\n\"Answer: 3*l - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 1050.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 3*u**2 + 213 - 214. Let m = 51 - 45. Let t(b) = 7*b**2 + 6. What is m*c(r) + t(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -3\/2, -1863, -19, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*g**3 - 4*g**2 + 52*g + 4.\nAnswer: -4*(g - 1)*(g + 1)*(13*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*y - h, 669922 = y - h + 669926 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19224934?\nAnswer: 2, 9612467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-1008))\/(1\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 2}. What is prob of picking 1 q and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/60 + 5*j**4\/24 - 5*j**3\/3 + 4*j**2. Let t be c(-7). Suppose -2*s - 42 = -t*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:35 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t - 20*t + 1 + 153*t.\nAnswer: 159*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -37. Let b = -1.5 + v. Suppose 0 = -2*m + 2*a, 5*m - 2*a + 21 = -4*a. Put -2, b, m in ascending order.\nAnswer: m, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/10857 - -256961\/65142. Find the common denominator of k and -37\/95.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -198.1. Let s = x - -11. Let t = -0.1 + 0.1. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, 21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**5\/10 - 4*w**4\/15 + w**3\/15 + 2*w**2\/5 - 19*w - 7. Let m(a) be the first derivative of p(a). Factor m(k).\nAnswer: 2*(k - 1)**2*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263 + 13543?\nAnswer: 13250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 4, -1\/4, 50, 1.226?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86333200 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noxkaxavo. What is prob of sequence xox?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322762 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -2423 (d) -0.063\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/2)\/(-6))\/(12\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/13, 5, -32?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6665?\nAnswer: 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1559776 (b) -2\/37 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 6, -5*k - 5 = -2*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 6*o**2 - 7*o + 2. Let j be d(7). Suppose j*y = 5*t + 125, -t + 52 = 2*y - y. Is y*(-2 - (-12)\/5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104576.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + (-5 - -5)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3 + 28 + 2550*o + 8*o**2 - 2560*o. What is the units digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -204, -194, -184?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 3*u + 15. Give a(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22281, -89099, -200483, -356427, -556925, -801971, -1091559, -1425683?\n\"Answer: m**3 - 22289*m**2 + 42*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**2 - 42*l**2 + 45*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 12 = -56*u. Let g be (-1*1*-50)\/(-2 + u). Let q = g - -62. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381395167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -115. What is the third derivative of -y*f**3 + 10*f**3 - 22*f**3 - 7 + 4*f**2 - 3*f**2 wrt f?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242324, -242619, -242974, -243419, -243984, -244699, -245594?\nAnswer: -246699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29355 and 3739485?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -2. Let q be u\/(-14) - 10\/35. Sort -0.2, q, -1\/3.\nAnswer: -1\/3, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 5. Let b(v) = -2*v**2 - 3. Let x(m) = -5*b(m) + 3*z(m). Let c(q) be the first derivative of 80*q**3\/3 + 406. What is x(c(o))?\nAnswer: 6400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 118, 4, 0.04, -1, 2\/7, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21225 and 1415?\nAnswer: 21225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*r + 18, 0 = 2*q + 3*r + 5 - 22. Sort -30, -5, q.\nAnswer: -30, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.0257 to the nearest integer.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) -0.93 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.5, 4\/5, 3\/2 in decreasing order.\nAnswer: 3\/2, 4\/5, 0.5, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/14 + 30 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 9. Let q be z(4). Let g = q - -89. What is the smallest common multiple of 36 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47715 is divided by 55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3683*r**3 - 3*r + 121*r**2 - 1837*r**3 - 1843*r**3 to a*r + v*r**2 + t*r**3 + g and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65\/3 - -275\/12. Let x be ((-6)\/(-8))\/((-3)\/(-2)). Factor -w*p**2 - x + 7\/4*p.\nAnswer: -(p - 1)*(5*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times -1.982853?\nAnswer: -122.936886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23858.79 days in microseconds?\nAnswer: 2061399456000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 12*w**2 - 5*w - 50. Give b(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*1*15\/(-9). Suppose d - 10 = -2*o, 0*d + 2*d + 2*o - 14 = 0. Suppose 0 = -3*x + d*j + 42, 0*j + v*j = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3496 (base 12) to base 4\nAnswer: -1123302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -638, -651, -678, -725, -798, -903, -1046, -1233?\n\"Answer: -z**3 - z**2 - 3*z - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:24 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45826760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 7*p - 16*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 3. Let i be h(3). Solve 6*q - i = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 449 = 3*d, 0 = -4*w + 32*d - 34*d + 902. Is w less than 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 * -73866.92\nAnswer: -6500288.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/((30\/6)\/(-10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 17}. What is prob of picking 3 v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from {j: 1, l: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 + d + 1. Let c be p(-1). Suppose 4*x - 32 - 4 = c. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1000, -4059, -9178, -16357, -25596, -36895, -50254?\n\"Answer: -1030*w**2 + 31*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 5:01 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-13)\/(-6))*2. Let x be (2\/4)\/((-3)\/24). Let f = -105.1 - -105. Which is the nearest to l? (a) f (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1378187315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 * 3337330\nAnswer: -1134692.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 95. Let b be (4 + 18\/(-4))*0. Does 18 divide 1 - b - 4\/(l\/(-126))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose -n*v = -2*v - 3*c + 8, 2 = -2*c. Let y be (-1)\/3*(2 + v). Solve 0 = h + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**3 + 6748*n**2 - 212864*n + 1694720 = 0.\nAnswer: 16, 1655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p - 4*o, -3*o = -p - p + 9. Suppose 3*x + 3*w + 15 = p, -w = x + 4*w + 21. Let b = x - -4. Solve 5*v + 3 = -5*r + 2*r, -b*r + 3*v = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/6*12\/72?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c - 10 = -37*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219007875.\nAnswer: 3, 5, 337, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a meter in centimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/12 - 2*s**3\/3 + 5*s**2\/2 - 160*s. Let b be 2 - -1 - 0\/6. Let t be n(b). Solve -4*q + t*q - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -3.884\nAnswer: 4.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-4)*(-4)\/60*12?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1. Suppose 5*c + 4*c + 5*d = -41, 2*d + 2 = 0. Let z(s) = 7*s - 17*s + 4 + 7*s. Give c*g(y) + z(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -920, -1851, -2782, -3713?\n\"Answer: -931*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b - 87. Let s be y(0). Let w be 1 - (4 + (-3)\/((-9)\/s)). Factor -120*h**4 - 105*h**3 - 32*h**2 - 10*h**5 - w*h**5 - 7*h**3.\nAnswer: -4*h**2*(h + 2)*(3*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqv when three letters picked without replacement from {q: 1, d: 1, k: 1, c: 1, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 4, 0 in descending order.\nAnswer: 101, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4463394?\nAnswer: 2, 3, 13, 57223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 less than -995?\nAnswer: -1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 6. Let k(s) = s. Let j(n) = -h(n) + 5*k(n). Let z(b) = -2*b + 4. Let w(q) = q**3 + 5*q**2 + q - 2. Let v be w(-5). Determine v*z(c) - 5*j(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5312423.92 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29866004 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 826 + -827. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7993*b**3*i + 4*b**3 + 24*b**2*i - 2*b**2 + 11*b*i + 29*b + 2547 wrt i.\nAnswer: 7993*b**3 + 24*b**2 + 11*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4349191102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 71*v + 1299. Let j be t(-17). What is the greatest common factor of j and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149648 and 3184?\nAnswer: 149648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1944)*-2 - sqrt(1944))*4)\/((2*sqrt(84))\/sqrt(7) + sqrt(24)\/(sqrt(18) + sqrt(2)))*-2)**2.\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2034 - 1364. What are the prime factors of h?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let j(z) = 3*z**2 + z. Let l(u) = -174*u**2 - 174*u. Let x(v) = 174*j(v) + l(v). What is h(x(c))?\nAnswer: -696*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3882 smaller than -3882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5*d - 5. Suppose 4*v = -31 - d. Which is smaller: v or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 503827.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 4283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*k - 187*k = 51700537. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -637?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**6\/75 - 39*c**5\/25 + 423*c**4\/10 + 3276*c**3\/5 + 15876*c**2\/5 - 16*c - 9. Factor v(t).\nAnswer: 2*(t - 42)**2*(t + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Suppose 0 = 6*l - 3*l + 15. Put l, -1, w in decreasing order.\nAnswer: w, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358130 divided by 607?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3279871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 5*k**6\/3 + 33*k**5 + 49*k**4\/6 - 68*k**3 + 52*k**2 + 208*k. What is z in n(z) = 0?\nAnswer: -13, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from lfsxtttttttt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - 4.84. Let c = -128 - -125. What is the second smallest value in c, 2\/7, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3987.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (86 + -8)\/(2\/2). Suppose m - 72 = -5*q, -2*q = 3*q + 4*m - p. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -3618c60?\nAnswer: -3618c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -p - 6, 0*c + 3*p - 2 = -2*c. Let l = 3 - c. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21161 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50879256 to the power of 1\/2, to the nearest integer?\nAnswer: 7133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -631 - 359. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1680)\/(-70))\/((-285)\/1330).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*v - 217*v - 194. Suppose 0 = -9*o + 119 + v. Calculate the highest common divisor of o and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -9860?\nAnswer: -29580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 554914*v\/9 + 554912\/9.\nAnswer: 2*(v - 277456)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 26*b**2 + 24*b - 20. Give h(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 125 - 25. Suppose -6*w = 2*k - 2*w - 394, -s*w = -3*k + 541. What are the prime factors of k?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8099 and 79\/388752.\nAnswer: 388752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 177473*v - 177473*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2. Let t(x) = -x**2. Calculate q(t(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 + 9*a**3 + 0 + 0 - 1 - 1 in the form i*a**2 + k*a + y + v*a**3 + h*a**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 881 - 536. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 1.91. Let o = 1 - 1.1. Let y = -202.95 - -203. Put o, r, y in decreasing order.\nAnswer: r, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2447 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhrr when four letters picked without replacement from {v: 2, r: 2, b: 1, h: 1, n: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6783868 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-9)\/18)\/((-2)\/500)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c)**(3\/22)*(c**0)**(17\/6)*((c\/(c\/c**(2\/3))*c*c*c)**(2\/55))**(-1\/14) assuming c is positive.\nAnswer: c**(-247\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31325031 (base 7) to base 13.\nAnswer: 71803b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -635 + 634.8. Which is the nearest to u? (a) 1\/4 (b) -1 (c) -1\/6 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1438016)\/351472 + -1 + (2 - -2). Let a = 16061 - 32073816\/1997. Let k = w + a. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8283?\nAnswer: 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8a81c (base 16) to base 7\nAnswer: 4552002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.69907 to 2 dps.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 159. Suppose 7*h = -v*h + 30. Solve -20 = -3*y - h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 147?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 6:05 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 5028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 394025.\nAnswer: -3\/394025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-360)\/6)\/(-10) + -4. Let g be (14\/(-70))\/(64\/(-30) + z). Factor 6*n + 9\/2 + g*n**2.\nAnswer: 3*(n + 1)*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-3))\/(16\/1752) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99692.\nAnswer: 2, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-2) - -2)\/(-2). Let c(v) = -v**3 + 9*v**2 - 9*v - 4 + s*v**3 + 16. Let w be c(8). Solve 0*t = -t - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/6 - 1\/(-3). Let q be (-6)\/(-21) + p\/35. Let f be (q + 3)\/((-21)\/(-35)). Solve 2 - f = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 - 2*q**4 + (-q - 5*q + 4*q)*(149*q**2 - 130*q**2 - 67*q**2)*(0*q + 0*q + 2*q).\nAnswer: 190*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470266?\nAnswer: 2, 73, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128*b - 446?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose 0 = 4*o - z*o - 1. Suppose -2*g + 20 = 4*n, g - n - 3 = -5. What is the remainder when g is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m + 12*m + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/9)\/((-1)\/(-3)). Suppose 4*x + 48 = h*x. Calculate the remainder when 31 is divided by 156\/x + (-9)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 64*i + 512.\nAnswer: 2*(i + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 552424*b + 2209760.\nAnswer: -4*(b - 138110)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 - t**2 - t + 1. Let s(g) = -130*g - 909. Let d be s(-7). What is b(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110000 - 10101?\nAnswer: -1000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - 3. Let i be v(-9). Let u = -685\/12 - i. Do u and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 207 - 75 - 112 + 3*q.\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - f + 825 - 840, 0 = 3*g - f - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5203470*b**2*r**3 - 26242*b**2*r - 17*b*r**2 - 2 wrt r.\nAnswer: 31220820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*p)*(-20*p + 10*p - 8*p)*(p + 2*p + 5*p + 1) as q*p + s*p**2 + f*p**3 + b and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 6561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/4 - 35*d**3\/3 - d**2 - 69*d + 1002. Calculate r(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70415 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 96\/72*(-21)\/(-2). Suppose -w*k + 18*k - 4*n = 28, 3*k - 21 = -n. Solve -3*f = -k*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 32 + 42 + 0*s - 2*s - 63.\nAnswer: -2*s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {s: 4, i: 2, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2006.63 (b) 0 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/3 - 11*w**2\/2 - 7*w + 33. Let r be 14 + (3 - 4)*2. Let b be s(r). Put 4, 2, b, -14 in descending order.\nAnswer: b, 4, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8, -2*i - 4*m = -5*m + 6. Let q be (-9)\/(-7) + i\/7. Let d(j) = -2*j - 4. Let b(w) = 5*w - 1 - 7*w + w. What is q*d(s) - 4*b(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 12*m**5 + 75*m**4 + 150*m**3 + 105*m**2 + 18*m = 0.\nAnswer: -3, -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, 2, -454, 0.\nAnswer: -454, 0, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*t**3 - 65*t**2 - 703*t**3 + 255*t**3 + 280*t**3 wrt t.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73519, -147032, -220545, -294058, -367571, -441084?\n\"Answer: -73513*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from abbb?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by 146?\nAnswer: -156\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {r: 1, i: 11, o: 1, g: 2}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(17*v + 0 + 0)*(-5 + 5 - 2) + 1 + v + 7 - 5 - 4*v - v + 4*v.\nAnswer: 34*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 3*p. Let w be 3384\/45 + (1\/(-5) - 0). Suppose -w = 4*t - t. Let k = 21 + t. What is v(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 39. Solve -23 = 5*r - 4*w, 0 = -8*r + b*r + 5*w - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -5*m + 7*g + 25, 5*g = 5*m - 25. Let o(f) = f**2 - 2*f - 2. Let p be o(-2). Solve 3*y - q - 1 - p = 0, m*y + 3*q - 21 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:29 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 211171 (base 8) to base 16\nAnswer: 11279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -q + 3*h, 34*q - 12 = 33*q - 4*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -588960 divided by 5\nAnswer: -117792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7047 and 15109?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4845156*y**5 - 211998*y**2 + 5*y wrt y?\nAnswer: -290709360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 35*m**2 - 28*m - 3263. Let d be t(38). Suppose 0 = -n + 2*n - 4. Suppose n = p + 1. Solve d + 10 = p*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 121.086 centuries?\nAnswer: 12.1086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -18*k - 684. What is the smallest common multiple of 3332 and k?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23745487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.31 to one decimal place.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1883\/9684*24\/(-63).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -s, -17 = -7*s + 4*s - 2*h. Put 0.1, s, -0.3, -2\/7 in ascending order.\nAnswer: -0.3, -2\/7, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1238194713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1\/5505, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2\/3*w**3 + 0*w**6 + 0*w**2 + 1 - 2\/7*w**7 + 0*w + 0*w**5 + 0*w**4. What is the third derivative of y(v) wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 1:43 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2688\/(-64) - (13 + -79).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -24, -56, -112, -198, -320, -484, -696?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -67\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195627 and 14457?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q + 5*q - 35070. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -594*s - 1782. Let i be t(-3). Solve 5*g = 27*d - 26*d - 23, i = 4*d + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmfsffmmfsfffmffffmf. Give prob of picking 4 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 - 7*d - 15. Is v(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.575 + 0.875. Let x = -60.7 + 58. Let s = x - o. Which is the nearest to -3? (a) s (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 7, y: 9}. Give prob of sequence ssys.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228488011 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((sqrt(539) + -1 + -5)*6 - (sqrt(539) - (sqrt(539) + (sqrt(539) + 1)*-4) - (sqrt(539) + ((sqrt(539) + -1)*6 - sqrt(539))))))*4)**2*6.\nAnswer: -548352*sqrt(11) + 3561312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, y: 4, b: 7}. Give prob of picking 1 y and 2 l.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.8, -1\/2, -0.67, 10, 4\/7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -4*v + 9, 3*r + 2*v - 18 = 0. Calculate the remainder when 10 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 24 = -4*d - 7, 4*d = 2*h + 22. Put 4, 5, h in increasing order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10474, 20805, 30988, 41005, 50838?\nAnswer: 60469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u + 38. What are the prime factors of u\/(-99) - 781\/(-9)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c + 20. Is 221\/1 + (-2 - c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 20*k**2 - k - 4. Calculate b(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 65*f**2 + 1059*f - 845. Calculate l(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d*f - d*j**2 + 630*d*j + 2*f*j**2 - 3*f*j + 3*f + 824*j**2 wrt d?\nAnswer: 5*f - j**2 + 630*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-4 - 2 + 3)*(-4*i - 3*i + 4*i).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/5 - (2 - 0). Let i = z - 43\/10. Suppose -2*n = 8, -3*w + 8*w = 3*n + 37. What is the nearest to i in w, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsg when three letters picked without replacement from xbxgbbsxgxsbgbxsbxx?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -100.\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099091443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1436*p - 78177. Calculate b(-54).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 196. Let s(w) = 13*w - 22. Let l be s(5). Let h = o - l. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**3 - 12*g - 403. Let f(u) = 91*u**3 - u**2 + 90*u + 2823. Determine -15*d(b) - 2*f(b).\nAnswer: 13*b**3 + 2*b**2 + 399","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -1\/15*d**5 - d - 1\/9*d**3 + 0*d**2 + 1\/90*d**6 + 5\/36*d**4 + 0. Solve l(m) = 0 for m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6258 and 145\/11622.\nAnswer: 81354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16320*n**2 + 75*n - 75. Let r(d) = 442*d**2 - 2*d + 2. Let i(l) = 2*c(l) + 75*r(l). Let y(v) = 12*v**2. Calculate y(i(s)).\nAnswer: 3121200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 13. Let z be y(11). Suppose 0 = z*a + 1 - 5. Solve -4 = a*d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.179*0.52.\nAnswer: -0.09308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x - 9 = -47*x + u, 2*x - u = 14. Which is the biggest value? (a) 1 (b) x (c) 0.26 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56370.6665+2\nAnswer: 56372.6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q - 1. Let d(n) = -4*n**3 + 22*n**3 - 101 + 47 + 5*n + 49. Give d(j) - 5*r(j).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 455960.556 + -0.029\nAnswer: 455960.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = 67*f. Sort -2, 2, 5, f in ascending order.\nAnswer: -2, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 - 3*x**3 - 18 + 15*x**2 - 9 + 8*x**3.\nAnswer: 5*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(2) - sqrt(6)\/sqrt(3) - sqrt(2)))\/(sqrt(110)\/(sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(99)))) + sqrt(10)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11539, 11538, 11537?\nAnswer: 11536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 9\/5, -0.6, 0.03, -5\/9 in decreasing order.\nAnswer: 9\/5, 0.03, -5\/9, -0.6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 15) to base 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 15*i**2 - 47 to the form k*i + q + h*i**2 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -76*x + 0 - 1\/6*x**3 + 0*x**2. Let c(f) = 5*f. Determine p(c(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06722559 rounded to five dps?\nAnswer: 0.06723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -39. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1924601\/218 or 8829?\nAnswer: 8829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 5. What is the second derivative of -7*s + s**4 + s + 6*s**4 + s**l wrt s?\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22706590 divided by 4541318.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 - 156. Suppose -3*s + 0 = -a. Solve 2*u - s = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -114, 16, -2?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-21)\/12 + -2. Let o(c) be the first derivative of 0*c - w*c**4 + 1\/3*c**3 + 0*c**2 - 2. Find the third derivative of o(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991 = i - 40*i + 367. Let m(n) = n**3 + 16*n**2 - n - 5. Give m(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121478 (base 11) to base 6.\nAnswer: -4041545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -9*l - 37. Let u = -31 + l. What is the units digit of ((-3)\/(-2))\/u*-58?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -48. Sort -12, q, -14, 2.\nAnswer: -14, -12, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 7979?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 4*a + 35\/3.\nAnswer: (a - 7)*(a - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**(2\/31)\/k))\/k*k*k**(-3\/2)*k)\/(k**5)**26)**(-21) assuming k is positive.\nAnswer: k**(166089\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:48 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/12 + -3 - (-303)\/(-9). Let s = 57 + h. What is the highest common factor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*t + 3*t + 0*t + (2*t + t - t)*(4 - 4 + 2) - 4*t + 0*t + 2*t + 3 + 2*t - 3 + (4 + 0 - 3)*(0*t + t + 0*t).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u - 4*u + u + 11 + 10*u. Let d be f(-8). Suppose 3*v + 4 = 7*v, 5*w = -4*v + 14. What is the highest common divisor of w and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - 0.02. Let j = 2 - 7. Sort -2, z, j in ascending order.\nAnswer: j, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**4 - q**3 - q - 1. Let a(m) = -2*m**4 + m**3 + m + 6. Let k(w) = -a(w) - z(w). What is the derivative of k(s) wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 47 = -49. Let w be (-2155)\/(-55) - (-16)\/(-88). Let m be w\/o - 9\/(-24) - -4. What is the greatest common divisor of m and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280388\/3 <= 760130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1250.9 - 1251. Let g be (1 - -1)\/(5 - 0). What is the closest to a in g, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and (-5)\/450*-389 - (-12)\/(-20).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -18, -51, -100?\n\"Answer: -8*u**2 + 7*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3)*(-104)\/(-1092)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2503 + -2436. Solve 0 = -7*v + 102 - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3600\/135*(9 + (-966)\/70)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 48 = -4*p - 7, 34 = 4*p - 2*i. Let q = 126 - p. Suppose -2*n - 4*t = -80, 4*t = -t + 25. What is the remainder when q is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 778, 1162, 1546, 1930?\nAnswer: 2314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4. Let y be 10\/30 + i\/24. Determine k, given that 1\/4 + y*k**2 + 1\/2*k = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*6)\/((sqrt(4) - sqrt(64))*5))\/(sqrt(484)*2*2*2))**2.\nAnswer: 9\/24200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -5 (b) -0.5 (c) 527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 47, -2, -1, 3.\nAnswer: -5, -2, -1, 2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {n: 1, s: 2, g: 3, h: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000962920248 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22104024 (base 5) to base 9\nAnswer: 321166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vssvsvv. Give prob of picking 1 v and 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 15. Let d be (-3)\/((6\/(-16))\/(-1)). Let a be v(d). Let h = 1742 - 1742. Solve 5 = -f + 3*l, 2*l = -3*f - h*l + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - sqrt(325)*-2) + -2 - -5*(sqrt(325) + 0))**2.\nAnswer: -160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**2 - 40*g**2 + g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 797574 to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 - 350*x - 3120 = 0.\nAnswer: -8, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:51 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 0, 8.\nAnswer: -3, 0, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2256 and 22\/21.\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttwwtwwwwwt. Give prob of sequence tt.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 4*b**2 + 0 - 1)*(4*b - 2*b - b) + (b + 0*b + b)*(-4*b**2 + 2*b**2 + b**2) - b**3 - 1 + 1.\nAnswer: -4*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 814737 from 9355.\nAnswer: -805382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + v**3 + 7*v**3 + 23*v**2 - 26*v**2 to r*v**3 + l*v + f*v**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2397 + 4393 = 0. Let p = x - -2116. Suppose 2*c + p = 2484. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 3*a**2 - 247*a - 744. Determine d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 3\/2, -6\/433, 139, 1?\nAnswer: -6\/433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242043 smaller than 242042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3915\/(-120))\/29*8\/6*(-616)\/(-11)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 c, and 1 o when four letters picked without replacement from {o: 2, c: 8, f: 5}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-30))\/((-10)\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 3*v + 2*v)*(-18 - 8 + 7) - 2*v + 9*v + 24*v as m*v + s and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -6426?\nAnswer: -11\/3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 - 32\/(-18). Suppose 2 = -i*k + 4. Solve -6 + k = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*i - 65*i - 21 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*s + 2. Let o be (-7)\/(-28) + s\/(-4). Suppose 0 = -3*k, 3*k + o = x - 30. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose 6*f = p*f + 12. What is the first derivative of 0 - j**f - 1 + 3*j**4 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3831.\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/4 - v**4\/4 + v**3\/6 - v**2\/2 - v. Let t = -190 + 200. What is the remainder when j(2) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2842849 divided by 1?\nAnswer: -2842849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 175*r**2 + 170*r**2 - 7*r + 4*r**2 - 2*r**2 + 0*r**2 + (2 + 1 - 2)*(3*r**2 + r**2 - 2*r**2).\nAnswer: -r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*a**5 - 185*a**4 - 223*a**2 - 1345*a - 8451 wrt a.\nAnswer: 860*a**3 - 2220*a**2 - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -0.1, -1\/4, 1\/156 in decreasing order.\nAnswer: 23, 1\/156, 0, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 1}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddmdmqm. Give prob of sequence dqq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16330.\nAnswer: 2, 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 26, 18, -6, -52?\n\"Answer: -l**3 + l**2 + 6*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from ykykkkkkykyyyykkyyyk?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -2*v - 75 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4540.715 rounded to zero decimal places?\nAnswer: -4541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-2)\/3*3. Let t = 1 + b. Find the first derivative of 6 - 7*i**t + i**2 + 31*i - 31*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*g = 12, 4*n + 7 - 19 = 2*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2 + 42*v - 528 = 0.\nAnswer: -22, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkhup. What is prob of picking 1 k and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056694 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j. Let x be q(3). Find the common denominator of (x - 1)*(-66)\/4 and -97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57.02 - 60. Let n = l - 0.02. Put n, -5, -1 in ascending order.\nAnswer: -5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 8. Let k(o) = 2*o**2 + 7. Let y(r) = 6*k(r) - 7*t(r). Differentiate y(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*z - 2*z. Suppose v - 6*v = -25, 3*x - z = 5*v. Let a = x - 16. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*o + 3 = -2*w, 9 = 464*w - 464*w - 0*o - 3*o for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 21*t + 184. Let a be r(12). Let j be 1*3 - (-34 + -39). Is j > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10685576.\nAnswer: 2, 11, 31, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*a + 6 = 3*z - 84*a - 90*a - 8, -334*z = -334*z - 5*a - 20 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*a + 5*a. Suppose -3*p = -a*i, -2*p = 2*i - 3*i - 2. Factor -g**2 + 3 - p*g**4 + g**4 - 3*g**3 + 3*g - 1.\nAnswer: -(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.132 * -0.09.\nAnswer: -0.01188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + h + 674 = -0*y, 4*y - 672 = 2*h. Suppose -t = -q - y, -84 = 5*t + 5*q - 909. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.62 + -1.334. Let d = -0.67 + 0.716. Let u = d - k. Which is the closest to -1\/2? (a) 3\/4 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**5 + 219*j**3 - 596*j**2 wrt j?\nAnswer: 60*j**2 + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53332, 78434, 103534, 128632?\nAnswer: 153728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**3 + 10*u**3 - 10*u**3 + 4 - 3 as l*u**3 + o*u**2 + a + w*u and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 24*q + 13. Let m be x(0). Solve 4*s = 2*v + 28, 0 = v - m*s + 15*s - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161.799997682 - 161.8. What is d rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1\/9 (b) -8 (c) 2\/3 (d) 2 (e) 106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -480511 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0 + 1\/6*i**3 - 1\/20*i**5 + 1\/5*i**2 - 1\/30*i**4 + i. Factor d(l).\nAnswer: -(l - 1)*(l + 1)*(5*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1152)*-2)\/(sqrt(6) + 2*sqrt(384) + sqrt(96)*1 + sqrt(96)).\nAnswer: 16*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*t - 33 = -0*y, -y - 22 = 4*t. Let g be y\/9 + (-148)\/(-18). What is the highest common factor of g and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11\/((-492)\/72 - -7) and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - 3*c)*(1 - c**4 - 1) - 690*c**5 + 1665*c**5 - 747*c**5.\nAnswer: 229*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 at least as big as 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 688607 to the power of 1\/2, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 132 = 114. Suppose g*r - 395 = 6361. Suppose r = 5*y - 154. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702300329.\nAnswer: 702300329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2253, -0.3, 1\/4, -4, 0.117, -5 in decreasing order.\nAnswer: 2253, 1\/4, 0.117, -0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/33 + -7\/11. Let m = -7 + 2. Let x = 5.1 + m. Is x at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 6*l + 3519. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83984*h**2 + 194279*h?\nAnswer: 167968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128422 or -128421?\nAnswer: -128422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 28. Suppose -3*a = -2 - q. What is the second derivative of -3*n + 0*n**2 - 4*n**2 + 4*n**a - 12*n**2 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1534272486*f**4\/5 + 2289127641*f**3\/5 + 18397056*f**2\/5 + 36864*f\/5 = 0.\nAnswer: -64\/15991, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:10 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 5*d + 6. Give q(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28011 (b) 2\/5 (c) 5178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 70. Let u be 4\/(-6) + a\/(-12). Suppose 0 = -4*z + w + u*w + 16, 2*w + 5 = 5*z. Is -1 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163361 (base 7) to base 6\nAnswer: 410052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -439.143.\nAnswer: -438.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.683 + 3.683. Suppose 5*x - x = -12. What is the smallest value in t, 1\/7, x, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14318.7 to the nearest one hundred.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 5634*s\/5.\nAnswer: -2*s*(s - 2817)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43163, 44328, 46269, 48986, 52479?\n\"Answer: 388*r**2 + r + 42774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1821*z**2 - 913*z**2 - 3*z + 2*z**3 - 896*z**2 + 2 in the form x + u*z**3 + v*z**2 + o*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8448*m**2 - 11*m**3 + 44*m**3 - 8448*m**2 + 270*m**3.\nAnswer: 303*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 696*i**4*k**2 + i*k**3 - 230*k**3 + 11*k wrt i?\nAnswer: 2784*i**3*k**2 + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**3 + 3*d**2 - 3*d + 3. Let m(h) = -9*h**3 - 3*h**2 + 2*h - 2. What is -3*m(w) - 2*u(w)?\nAnswer: 7*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71 and 28?\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 + -2 - 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -383a9 (base 13) to base 16.\nAnswer: -195e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659789715?\nAnswer: 3, 5, 13, 3383537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-441)\/(-294) + 37638\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 8*h**2 + 11*h - 9. Let f be q(7). Suppose 0 = 3*c + 5*t - f, 5*c + 3*t = t + 19. Let j = c + 2. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -57\/2. Calculate the common denominator of -11 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 10. Let r = k + 6. Sort 0, -3, r in decreasing order.\nAnswer: 0, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0 + 3*i + 2*i**2 + 1\/2*i**3. Give m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 - 35 = -26*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.18 tonnes in micrograms?\nAnswer: 198180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163901 a multiple of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*b + 1430*b + 837*b = -64950 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 3078 = 3194. What is the greatest common factor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745826505.\nAnswer: 3, 5, 109, 317, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/34 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 12 = 30*s. Suppose 4386 = s*w - 2742. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4910571 - 21984669. Let t = 14515240 + c. Round t to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14\/3, 75, -12, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23160 and 50340.\nAnswer: 19431240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from mmsmxsmmaxxsx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33668, 33716, 33766, 33818, 33872, 33928, 33986?\n\"Answer: i**2 + 45*i + 33622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -575 + 575.0485. Let w = b + -0.048501375. What is w rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120451941 rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 219 = -t + 2*p, -3*t = -3*p - 123. Let q = t + -46. Let h be (-392)\/(-84) + 1 + 5\/q. What is the highest common factor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.233226925 to 5 decimal places.\nAnswer: 1.23323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 159*k**2 + 87*k + 86. Determine t(-1).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 51, 1, 657, 2\/15, 2, 39\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) 1 (b) 0.4 (c) -19149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -704*t**5\/15 - 505*t**4\/24 - t**3\/6 - 14*t**2 - 38. Find the second derivative of r(m) wrt m.\nAnswer: -5632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szdtsztkttsk. Give prob of picking 1 k and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 16*d**3 + 13*d**3 + d**3)*(2*d**2 + 0*d**2 + 0*d**2).\nAnswer: -4*d**5 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -23 - 9. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10100100001110010000010?\nAnswer: -10100100001110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Let c(b) = 1607*b**2 + 16. Let j(t) = -323007*t**2 - 3214. Let q(l) = -1607*c(l) - 8*j(l). Give u(q(w)).\nAnswer: 7747347*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/3 - 1\/1. Suppose 0*g - g = -h - 8, g - 29 = x*h. Let a = h - -10. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -5, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -129. Calculate the lowest common multiple of 15 and s.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2. Let u be i(1). Let g be 1 + 0 + (u - -1). What is the second derivative of -2*f + g*f**2 + f - f**2 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -14 + 59 + (-4 - 1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 476406849379 and -21.\nAnswer: 476406849358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - (1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Let l(d) = -9*d**2 - 2 + 30*d + 4*d**3 + 6*d**2 - 28*d + 1. What is the remainder when 68 is divided by l(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - -57) + (-6 - -1) - -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 213, 202, 189, 174?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 12*l**2 + 59*l - 50. Let j be i(9). Sort j, 2, -4, -31.\nAnswer: -31, j, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 less than or equal to 1889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6900.08 rounded to the nearest 10?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8593650.\nAnswer: 2, 3, 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3325 or 23267\/7?\nAnswer: 23267\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 - -2.87. Let i(q) = -q**3 - 9*q**2 - 2. Let c be i(-9). Put c, -0.5, t in ascending order.\nAnswer: c, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11908837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407125ug in milligrams?\nAnswer: 0.000407125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 340065 - 0.\nAnswer: 340065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7640 at most as big as -7627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -7*r + n - 3, -2*r = 5*n - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.195 - -31.905. Let u = m + -28.1. Which is the nearest to -2\/3? (a) -3 (b) 2\/19 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3, 55, -5 in descending order.\nAnswer: 55, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -24, -53, -96, -159?\n\"Answer: -y**3 + 2*y**2 - 20*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(13) - sqrt(65)\/sqrt(80).\nAnswer: -2 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - q - 2 + (4 - 3 - 7)*(2*q - 2*q - q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1225, -1138, -1051, -964, -877, -790?\n\"Answer: 87*m - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/((-12)\/16*-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 8933748*p\/7 - 9976481665938\/7.\nAnswer: -2*(p - 2233437)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2308367 divided by -3\nAnswer: -2308367\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let j(n) be the first derivative of -45*n**2\/2 - 13*n - 295. Determine z(j(q)).\nAnswer: 90*q + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1)\/(46\/69). Let f = 34\/5 + -568\/85. What is the third biggest value in f, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 714. Let t(z) = 158132*z. Determine k(t(a)).\nAnswer: -158132*a + 714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = 12. Let w(p) be the first derivative of -p**3\/3 - 7*p**2\/2 + 1. Let v be w(r). Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*z - 100*z = 3264. Find the common denominator of 1513\/z + 3\/(-9) and 89\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*c + 4*h - 36, h - 24 = -4*c. Let p be (-1 - 0)*6\/(-12)*0. What is the smallest value in p, 0.05, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29442.\nAnswer: 2, 3, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 1 - 1)*(4*z - 4*z + 2*z**2) - 2*z**4 - 7*z**4 + 3*z**4.\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 68 - 37 + 5*o**2 - 31.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65695690909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1513\/11 - 1701\/11. Let v = 542\/33 + x. Which is the smallest value? (a) 0.7 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7011080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/6*a + 1\/3*a**2 + 0.\nAnswer: a*(2*a + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 7, f: 2}. Give prob of sequence ndn.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3172\/1265 + -7\/460. What is the common denominator of 73\/76 and r?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 times -10845?\nAnswer: 2407590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 199*r**2 - 7391*r - 27. Determine m(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1926533.5797264 + 4723.6274264. Let k = d + 1921309. Let h = 501 + k. Round h to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*p - 16, 2*x + 2*x + 3*p = 29. What is the lowest common multiple of (12\/(-10))\/(x\/(-25)) and (-24)\/(-18)*(-6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let j(x) = -4*x**2 + 0*x**3 - x**3 + 2*x**2 - 4 + x. Let u be j(-3). Let r(q) = 0*q**2 + 2*q**u + 0*q**2. Give r(k(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 285717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 700*d + 704*d = 4, 36*s - 298 = -2*d for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9402831, -18805659, -28208487, -37611315?\n\"Answer: -9402828*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(4*u - 4 + 4) + (-3 - 1 + 1)*(-4*u - 4*u - 3*u) - 5 + 5 + 3*u + 5*u - 1 - 1 + 0.\nAnswer: 45*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + d + 1. Let r be f(-1). What are the prime factors of (425 + 5)*2\/r?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 725. Let x be j(0). Suppose 0 = 8*o - 3*o. Suppose o = 6*h - h - x. Calculate the greatest common divisor of 29 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/20 - b**4\/2 + b**3\/6 + 5*b**2\/2 - b. Let d be s(-6). What is the biggest value in d, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/12 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + 5 + (1 - 6). Let t(s) be the first derivative of 2*s**3\/3 + 11*s**2\/2 + 10*s + 1. Is t(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3157*b + 281079 - 370 = 624*b + 34944 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w + 18 = -80*w - 5*r, -3*r = -5*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 18*h**2 + 18*h - 13. Let f(v) = -v**3 + 9*v**2 + v - 28. Let s be f(9). Let y be u(s). What is the units digit of (129\/(-2))\/((-9)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/5))\/((h\/h**26*h)\/h) assuming h is positive.\nAnswer: h**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*d + 159, -313*s = 2*d - 312*s + 161. Let f(m) = -24*m - 4. Let c be f(-5). Let y = c + d. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w**4\/3 - 19091420*w**3\/3 - 11748625*w**2 - 13217230*w\/3 + 2937160\/3 = 0. What is w?\nAnswer: -1, 2\/13, 293716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*c**2 + 351*c**2 - 1174*c**2 + 399*c**2.\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22815 and 0.2?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/4*-1). Suppose -4*x = 3*j - 13, -11 = 2*x - 4*x + 3*j. Let d be (-17)\/(-7) - (x - 2). Which is the second smallest value? (a) d (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 20 - 29 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*q**4 + 0*q**2 + 28*q**4 + 3 - 71*q**4 - 2*q + 4*q**3 + 0*q + 7*q**2 in the form p*q**3 + f + w*q**2 + z*q + g*q**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 k when four letters picked without replacement from {h: 4, k: 14}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6192\/264 + (-6)\/(-11)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 4, -0.4, 551655?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnoobobnnoobobboo. What is prob of picking 1 o and 1 n?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 11*i**2 + 4*i**4 + 13*i**2 - 31 - 4*i + 15*i**5 + 31 - 39*i**3 = 0?\nAnswer: -2, 0, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-16)*(-216)\/(-243)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**0\/h))\/(h*h**(-2))*(h\/(h\/(h\/(h*h**(-2\/7)\/h*h)*h*h)))\/((h\/(h*h\/h**(-5)*h*h))\/h))**(-45) assuming h is positive.\nAnswer: h**(-4500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:57 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 41*r + 31. Determine n(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/455*10 + (-199)\/(-7). Solve -21*a = h + 55 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 8. Suppose -n = -a + 2. Factor -4*l - 2*l**3 - 14*l**n + 0*l - 8*l**3.\nAnswer: -2*l*(l + 1)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*v + 3266 - 4677 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctit when four letters picked without replacement from {z: 8, i: 1, t: 8, c: 1, h: 1}.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -11*b**4\/4 + 4*b - 15. Let r(x) = -133*x**3 + 49. Give 49*i(y) - 4*r(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14153627 divided by -2?\nAnswer: 14153627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 98bb0 (base 12) to base 8\nAnswer: 612664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*a + 1421*a - 459*a - 479*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 2*n**2 - 4*n**3 + 0*n**4 + 1 - 4*n**4 - n**4 to the form s*n**4 + a*n**2 + z*n + x + p*n**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1519 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9251*p = 1695*p - 188900 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.08. Let x = -0.08 + u. Let o = 14.2 + -14. Which is the nearest to -2? (a) o (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let n(s) = -4*s + 24. Let c(k) = 6. Let v(i) = 15*c(i) - 4*n(i). Calculate a(v(g)).\nAnswer: -16*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -620\/1453643?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538370.\nAnswer: 2, 5, 29, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381158171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*k - 89*k - 70*k in the form o*k + c and give o.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a + 36*a - 19*a - 8*a - 18 to p*a + g and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 851*p - 137159. Determine n(160).\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/2 + (1 + -4 - 1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -r + 4*t + 20, 4*r - 4*t - 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -375*d + 7485. What is r(20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 832*g - 5974. Determine t(3).\nAnswer: -3478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b**(-1\/18)\/b)))\/b*b)*b*b**(2\/5))**7 assuming b is positive.\nAnswer: b**(2177\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 2*d**2 + d**2 + (2*d - 5*d + d)*(-4*d - 3*d + 6*d) + 7*d - d**2 + 0*d - 12*d in the form p + t*d**2 + w*d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -29*s**2 - 55*s**2 + 83*s**2. Let a(z) = 6*z**2 - 8. Calculate a(w(c)).\nAnswer: 6*c**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.978 + -0.022. Let h = 2.22 + -2. Let p = -0.42 + h. Which is the closest to 0.2? (a) -5 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.488 - -3.6. Round w to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -4011?\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/104928 and -37\/8744?\nAnswer: 104928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*30.8\nAnswer: 2.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24697, 24424, 24151, 23878, 23605, 23332?\n\"Answer: -273*t + 24970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144, -607, -1380, -2463, -3856?\n\"Answer: -155*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14554 + 14560. What is the nearest to 0.2 in d, -0.5, 0.4, -28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13672 = 224*b - 2136 + 2816 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**2 + 22*r + 29. Let c(p) = -p**2 - 13*p + 25. Let d be c(-15). Let t(v) = 24*v**2 + 45*v + 57. Let b(u) = d*t(u) + 9*g(u). Solve b(f) = 0 for f.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5489.909 kilograms?\nAnswer: 5489909000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(3*p**2 + 4*p**2 + 0*p**2)*(-9*p + 22*p - 10*p).\nAnswer: 63*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 25 = -11*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*w - 12, -5*w + 7 - 19 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + (45 - 13) - (5 - -2)) + -46?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*g**2 - 628\/9*g + 1264\/9.\nAnswer: -2*(g - 2)*(g + 316)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3817.543 - -17.657. Round a to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 11129?\nAnswer: 11129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44 - -43)*(-535)\/1. Is 530 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10729, 21477, 32225, 42973?\nAnswer: 53721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -404513.672 to the nearest 100.\nAnswer: -404500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(119)*-2*-2 + sqrt(119) + 3*-2*sqrt(119)))\/(3*(sqrt(1008)*-2 - sqrt(1008))*-4).\nAnswer: -sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/24 + 2*u**5\/3 + 4*u**4 + 40*u**3\/3 + 33*u**2. Let b(s) = -2*s. Let o(p) = 2*b(p) - w(p). Solve o(z) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6314, 2, 3 in descending order.\nAnswer: 6314, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(3*u - u - u) - 8 + u + 8)*(2*u + u - 5*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/17, -488815, 2, -1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67320)\/4950*5\/4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2037563 (b) -3 (c) -0.03 (d) -2\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -198, 306, 3120 in decreasing order.\nAnswer: 3120, 306, 5, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - -1)*78\/273. What is x in 3\/4*x**3 - x + 0*x**z + 0 - 1\/4*x**4 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/(-10))\/(340\/425).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -226. Let z be (140\/(-245))\/(0 + y\/(-14)). Factor -f**4 - 7\/5*f**3 - 3\/5*f**z + 0*f + 0 - 1\/5*f**5.\nAnswer: -f**2*(f + 1)**2*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrsrrssrrrr. Give prob of picking 1 s and 2 r.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from ylyyyyyyylyyy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**6 - 865255*a**5 + 2305859*a**2 wrt a?\nAnswer: -240*a**3 - 51915300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36822160 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011100 - -101?\nAnswer: 10010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1*7\/(-105)). Calculate the remainder when 3\/f + 43*(-32)\/(-20) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 15) to base 4\nAnswer: -10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 13 - 13357)*-1?\nAnswer: 3, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897 = 60*i - 37*i. Calculate the greatest common factor of i and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3 - w + 0*w + 1 - 6 + 2*w**2. List the prime factors of x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Suppose 3*h = 3*b - 6, 3*h - 2 = d*b - 6. What is the tens digit of b*(-92)\/8*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 282a + 3?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3. Let d be q(-1). Let k = -13.76 - -14. Let y = 1.24 - k. What is the closest to 0 in d, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1))\/r)**(-30\/7))**(9\/11)*(r**(-9)\/r**7)**(17\/6) assuming r is positive.\nAnswer: r**(-11282\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 9, 40, 91, 168, 277?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -84. Let d = u + 57. What is the highest common divisor of 144 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 27. Let b(g) = g - 1. Calculate b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58982 to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169\/329 + -4\/47. Let m = 1 + -0.5. Let p = m + -0.7. Sort 0.3, i, p in increasing order.\nAnswer: p, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y + 28*y - 2 - 4 + 6.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1636212 = -3*x, -3*l + 132*x - 134*x = -1636192. What is l rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from ccbcbbbbcbcc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1111 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o + 1. Let w be (-7)\/o - 5\/15. Let d be -1 + w - (5 + -4). Which is bigger: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 2*i**2 + 1673*i - 663*i - 933*i to y*i**3 + k + o*i + m*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68018 + 8994 = -265*i + 249*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -65412478547.\nAnswer: 65412478544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17546524 is divided by 138?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2, -0.2, 2\/107, 106\/9?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 71 = -379. What is the highest common divisor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.77081 and -1071616100.\nAnswer: -1071616100.77081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 + 1140*x**3 + 108236*x**2 + 3546060*x + 12524400 = 0. Calculate x.\nAnswer: -105, -71, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5593 is divided by 5519.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 241*o + 58 + 54 + 54.\nAnswer: 241*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 2815 - 1240 - 1288 to j*d**2 + u*d + m and give m.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24236 - -3?\nAnswer: 24240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -57*q**3 - 15*q**2 + 15*q + 15. Let o(t) = 8*t**3 + 2*t**2 - 2*t - 2. Give 2*h(c) + 15*o(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 29. What is o(14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 7) to base 13.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 58*g**3 - 36*g**2 + 7*g - 7. Let q(v) = -39*v**3 + 24*v**2 - 5*v + 5. Determine 5*o(t) + 7*q(t).\nAnswer: 17*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580.5832um to millimeters.\nAnswer: 0.5805832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -4, 0.2, -0.9, -0.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202 + 11?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7032)\/(-4102)*14\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -49 - ((2 - 0) + -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**3\/3 - v**2\/2 - v - 13. Let m(h) = h**3 + 4*h**2 + 2*h + 2. What is 2*k(c) + m(c)?\nAnswer: c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 88*l + 194. Let t be j(24). Let b(s) be the first derivative of 0*s - 49\/2*s**4 - 36*s**t - 11 - 56*s**3. Solve b(y) = 0.\nAnswer: -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1231, 4336, 9503, 16726, 25999, 37316?\nAnswer: 50671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25242?\nAnswer: 2, 3, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 295132 > 295089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2517, 9974, 22401, 39798?\n\"Answer: 2485*x**2 + 2*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, -756, -1733, -2710, -3687?\nAnswer: -4664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/12 - (-447832)\/(-537240). Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.959 - -38. Let m = -0.541 + y. Put 4, -4, m, 5 in descending order.\nAnswer: 5, 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.6 - -16. Let f = x + -2.1. Let k = 0.1 + f. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 86. Calculate the greatest common factor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwvwwvvwwvwffwwwwm. Give prob of picking 1 m and 1 w.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/45*3\/(-5)*66*(-33)\/(-44)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 + 1. Let m be -9 + 9 - (-2)\/(-2 - -3). Let v(f) = 16*f**3 - 3*f**2 + f + 1. Let q(x) = m*u(x) - v(x). Let i = -5 + 6. Determine q(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -95. Suppose i - r = -4*i. Suppose h = -h + i. Solve 20 = h*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m - 11. Let i(f) be the third derivative of f**6\/20 - f**5\/60 - f**4\/24 + f**3\/6 - f**2. Let x be i(1). What are the prime factors of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) 4 (d) 0.3 (e) 98481 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5012.7 - -5013. Put -0.4, 14, 0.8, v in increasing order.\nAnswer: -0.4, v, 0.8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26949058?\nAnswer: 2, 131, 102859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 0.12, -4, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*v - 4*v - 2*o, 2*o = -3*v - 8. Solve v = q + 4*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (25 + -17)) + 1 + 0 + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-12)*(-243)\/108. Which is the smallest value? (a) x (b) 0.54 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6541 - -53.\nAnswer: 55.6541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -174241.\nAnswer: -4\/174241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.63 minus -2?\nAnswer: 13.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-75)*-4*(-5)\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-3)\/(-4 + 5). Let o(w) be the second derivative of 2*w + 1\/3*w**4 + 0 + 1\/3*w**i + 1\/8*w**2. Factor o(a).\nAnswer: (4*a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26444 - 14?\nAnswer: 26430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -176?\nAnswer: -4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.560512*-0.1\nAnswer: 0.0560512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 131.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 11*v**2\/2 + 2*v - 3. Let k be q(1). Solve -13*f**4 + f**5 + k*f**4 - f**3 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/8 - 1\/24. Let f = 0.35 + -0.35. Which is the nearest to -1? (a) 0.5 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((10 - 5) + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3 - (-1292)\/6. Let s = 321 - d. What are the prime factors of s?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 times 1.2\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 1046, 1572, 2100, 2630?\nAnswer: 3162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:23 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17*h. Let i(k) = 504339*k - 1. Determine o(i(w)).\nAnswer: -8573763*w + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 72*m + 74*m = 0, 4*v - 5*m - 7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -2*z, 3*z + 4*c + c + 15 = 0. Let m = z + 7. Suppose -m*t - 8*o + 62 = -4*o, -3*t = 4*o - 99. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*g**5*q - 2*g**4*q**2 - 8*g**2 + 3*g*q**2 - 21 wrt g.\nAnswer: 5040*g**2*q - 48*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 0) + ((-268)\/34 - -5). Let x = -14.9 + 6.9. Sort 1, x, v in decreasing order.\nAnswer: 1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4677*d. Let k(z) = 6*z - 27. Let g(c) = -c + 4. Let h(s) = 27*g(s) + 4*k(s). What is u(h(f))?\nAnswer: -14031*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + i**3 + 0*i**3)*(58*i**2 - 63*i**2 - 49*i**2)*(2 + 1 - 2) + (2 - 5 + 2)*(-2*i + 2*i - 2*i**2)*(0*i**3 + 2*i**3 - 3*i**3).\nAnswer: 52*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 480*x + 94871. What is s(-198)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j - 4. Suppose -2*x - 8 = 6. Let m be o(x). Suppose 123 = -m*g - 177. Round g to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 3) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*u - 3590 - 4340 = 0 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 123, 185, 249, 315, 383, 453?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (433 + 269 - 105)*(-2*t - 55 + 55) in the form d + b*t and give b.\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138734.\nAnswer: 2, 71, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.551 and -71916279544.\nAnswer: -71916279542.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124886, -124951, -125016?\n\"Answer: -65*s - 124821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c = 181*c - 109*c + 1155 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-52) + (-9)\/4. Sort -4, w, -1.9 in increasing order.\nAnswer: -4, w, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n**(2\/9)*(n\/n**6*n)\/n**(-2\/15))\/((n**(-2)*n)**(2\/25))**26 assuming n is positive.\nAnswer: n**(998\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 + 5*i + 4*i + 0*i**2. Let p(f) = -18*f + 184. Let d be p(10). Does 36 divide x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9)*(-306918)\/2312*-2.\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 4*y - 17. Does 7 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -9 - (2 - -1)) + (-16 - 6) + -6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6076 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11218000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/33, 490, 0.261 in ascending order.\nAnswer: -1\/33, 0.261, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 67. Let r(d) = -6*d**a - 2*d**2 + 7*d**2 + 8*d - 12. What is r(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012336 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 - 5*j**2 + 21*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1089\/8 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*q = -25, 0 = 5*b - q - 0*q - 103. Solve -17 + b = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.53226 rounded to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -715 divided by -3\nAnswer: 715\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 3\/2, -0.4 in decreasing order.\nAnswer: 3\/2, 0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 4*f**4 - 4*f**3 + 15. What is the third derivative of m(a) wrt a?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -38. Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 14) to base 8.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 15*i - 32*i + 19*i + (-3*i + 0*i + 5*i)*(2 + 2 + 4).\nAnswer: 18*i - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(5\/10 - (-8457)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789 divided by 748?\nAnswer: 1789\/748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159276663?\nAnswer: 3, 7, 13, 439, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.64 + 12.94. Which is the second biggest value? (a) -0.1 (b) -5 (c) -0.4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/210*-6*29025\/(-121905)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2688007 from -5.\nAnswer: -2688012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -32, 5, -5, 284, 0.01 in increasing order.\nAnswer: -32, -5, 0.01, 0.7, 5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.586757kg?\nAnswer: 3586757000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -63, 3, 0.274254?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 - 200101211211?\nAnswer: -200101202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 16 - 20*s + 25.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + w**2 + w + 7. Let a be p(0). Let o(j) = 6 - 8*j**2 - 3 + j**3 - 4*j + 11*j. Let b be o(a). Solve 25 = 5*u, -4*v - u = -4 + b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuppuffupfupffff. Give prob of picking 1 f and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11042 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/177772 and 99\/177772.\nAnswer: 177772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bbkbbbbbbbkbkbbkbk.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {w: 2, v: 5, b: 6}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4568 or 4566?\nAnswer: 4566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 19*h**2 - h**3 + 158 - 482 + 161 + 163 = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/13 + 158972*z**4\/13 + 3158853080*z**3\/13 - 6321521712*z**2\/13 - 63187236864*z\/13 - 75820105728\/13 = 0.\nAnswer: -39744, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3 - 3)*(-3 + 3 + 1) - 2*t - 2 + 2 + 2*t - 161 + 63 + 13.\nAnswer: -2*t - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5051574 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z - 997759 = -100*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 3*h - 5*j - 17, 0 = -5*j + 10. Solve 0 = -4*w + 2*o - 0*o - 16, h*o - 30 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 1\/2, 3, -2\/13, -70?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9962864 to 2 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.34 - -4.34. Which is the fourth biggest value? (a) -3.6 (b) y (c) -3\/4 (d) 0 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -11*s - 65574. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7870 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 767637 + 770607 = 116*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1185 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (4 - (10 + -19) - 4 - 2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + 9*d - 6. List the prime factors of k(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c - 22. Let h be w(2). Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4253*c**3*s**3 + 38*c**3*s - 550707*s**3 with respect to c.\nAnswer: -12759*c**2*s**3 + 114*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-4))\/d*d)**13*d\/((d\/(d*(d*d*d\/d**(1\/4)*d)\/d))\/d*d)*d**(-2\/47) assuming d is positive.\nAnswer: d**(12917\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 n when four letters picked without replacement from fninififirfiffpffrp.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j**2 + 2*j - 15. What are the prime factors of c(5)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/164?\nAnswer: 3\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 + 45*r**4 + 51*r**3 - 45*r**2 - 48*r = 0?\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((-3*sqrt(108) - sqrt(108)) + sqrt(108)).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(13) + 2*sqrt(13))*1 + -1*sqrt(325))**2 + sqrt(117)\/((sqrt(9) - (-3*sqrt(9) - sqrt(9)))*-1).\nAnswer: -sqrt(13)\/5 + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/29 and 13\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r**3 - 105160*r**2 + 198465*r + 23350 = 0.\nAnswer: -1\/9, 2, 2335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -i - 3*i - 4*t, 0 = i + 3*t + 14. Let s(d) = i - 2 - 2*d**2 + 1. Let v(j) = j**2. What is s(v(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 166*a + 19*a - 774*a - 665*a + (-2*a - 3 + 3)*(5 - 1 - 3) + 2*a + 2*a - 3*a.\nAnswer: -1255*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 47*o = -150. Calculate the smallest common multiple of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11229 or 1614?\nAnswer: 1614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3*8\/120).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v**2 - 126*v - 1. Let k be t(7). Let z(h) = -h**2 + 1. Let w(c) = 8*c**2. Give k*w(u) - z(u).\nAnswer: -7*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:42 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5 - (4 + 1)) + 2. Let s(v) = 4*v + 27. Let x be s(l). Let u(n) = n**2 + 5*n - 6. Let z be u(-6). Solve z = 3*r + x*o + 9, -r - 9 = 2*r - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m + 199 + 141 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -774?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -4\/41, 1\/9, 1, 4, 1\/13371?\nAnswer: 1\/13371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 + 25 = -3*i, -m + 25 = -5*i. Let r(s) be the first derivative of -s**4\/4 - s**3 + s**2 - s + 1. What is the units digit of r(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 885248?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8668 and -85\/15366.\nAnswer: 338052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212 - -2011?\nAnswer: -21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(125))*-4)**2 - (3*(sqrt(125)*-2 + -2))**2.\nAnswer: -2511 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 1772*r + 12480. What is s(7)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:43 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-25 - -12) - (4 - (2 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3580238, 3580202, 3580106, 3579920, 3579614?\n\"Answer: -5*x**3 - x + 3580244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4681350*d*g**3 + 1015*d - 180*g**2 wrt g.\nAnswer: 28088100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-2176)*64*-86.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61234*d**5 - 5*d**2 - 14004*d?\nAnswer: 1224680*d**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5651 is divided by 61?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(0*y**3 + y**3 - 3*y**3) + 2*y**3 + 8*y**3 - 3*y**3 - 4*y**3 + 5 - 5 to the form f*y**2 + g*y**3 + x + n*y and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j + 8. Suppose -j*p = p - 147. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {m: 2, j: 1, s: 1, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319 + 254 + 19*o + 267 - 840.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1\/2584 (c) -5 (d) -1673\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/4, -4, -1, -3.\nAnswer: -5, -4, -3, -1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:27 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b - 15 - 51*b + 9 + 7.\nAnswer: -79*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/16)\/((-65773)\/15476)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2809954150 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/9 - 32*h**2\/9 - 160*h\/9 - 256\/9 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -445.10628 - 0.54972. Let c = -445 - k. What is c rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38554 is divided by 316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 40*m**2 - 4*m + 1. Let u(q) = -119*q**2 + 11*q - 3. Calculate -6*u(s) - 17*z(s).\nAnswer: 34*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35441*c**3*l - 287*c**2*l - c*l - 16 wrt c.\nAnswer: 212646*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7644845723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) -2\/3 (c) -2\/13 (d) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -138, -222, -322, -444, -594?\n\"Answer: -w**3 + w**2 - 70*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-153))\/(((-280)\/(-288))\/((-2)\/8)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 596 and 2384?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/97, -1\/3, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, -3\/97, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1526*g*t**3 + 2*g - 3*t + 1 wrt t.\nAnswer: 9156*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -487\/20 - -123\/5. Let n(l) be the second derivative of 1\/2*l**3 + 0 - g*l**4 + 0*l**2 - l. Suppose n(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7 - (-4 + 9 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261.17 + -264.17. Which is smaller: y or 389\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*p - 228 = 0, c - 75 = 2*c + 2*p. Let j = c + 41. Let y = 44 + j. Solve 0*n + y*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, -8, -235, -562, -995, -1540, -2203, -2990?\nAnswer: -3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5326419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*r**3 + 16*r**3 + 12*r**3)*(-8 + 0 - 7 + 4 - 2 - 5 + (0 + 4 - 6)*(-4 + 3 + 2)) to k*r**2 + l*r**3 + i + x*r and give l.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -20. Let q = v - 73. Find the common denominator of 115\/36 and (q\/12)\/((-224)\/(-44) + -5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-3)*s)\/s)\/(s*s**15))\/(s**(-3\/7)*s**(4\/11)*s))**(2\/113) assuming s is positive.\nAnswer: s**(-1992\/8701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 358931.9km in millimeters?\nAnswer: 358931900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -75247325?\nAnswer: -75247331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - o = 4, 4*z - 6*o = -7*o + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358379681, 716759359, 1075139037?\nAnswer: 1433518715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -2.06. Let v = 1 - x. Let s be (-1)\/(-10)*(-1 + (-64)\/(-24)). What is the nearest to v in s, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-19)*d)\/d)\/(d*d\/(d\/(d**(9\/4)\/d))))\/(d*d\/(d*((d\/d**(-12))\/d*d)\/d*d))**(-1) assuming d is positive.\nAnswer: d**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u**4*u\/u**(-2\/23)*(u*u**(9\/2)*u)\/u*u)**(-16\/5) assuming u is positive.\nAnswer: u**(152\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/3, 0, 2, -2\/3 in decreasing order.\nAnswer: 11\/3, 2, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 7 = 5*m, -4*m + 3*j = -0*m - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86, 90, 108, 146, 210?\n\"Answer: d**3 + d**2 - 6*d + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 >= 9423\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31786)\/27640*(-18 - 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -753 + 752.8. Let n = -58 + 54. Which is the second biggest value? (a) s (b) 2 (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -23.\nAnswer: -20\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 8) to base 7.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-28)\/6) + 250\/910. Let q = 9 - 9. Let v = q - -2. What is the second biggest value in v, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 4*z + 1. Let t be c(-3). Suppose t*j = -5*o + 3*j + 576, 0 = 2*j - 2. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*m + 33, -3*k + 140 = 2*k + 4*m. What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.044 - 0.156. Let g = -253\/2 - -3539\/28. Let r = g - -5\/14. What is the closest to h in 2\/9, r, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 + 526. Let t = j + -789. Let l be (4 - 1)*(-2)\/3. Put -5, l, t, -4 in descending order.\nAnswer: l, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/1081 and 41\/230?\nAnswer: 10810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/19 + 163450*j**2\/19 + 179690304*j + 3032253034632\/19 = 0.\nAnswer: -40398, -929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 14. Let k = 1 - d. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 66.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -3 + (-104)\/1 + 30 + -24. Which is greater: -100 or u?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 36. Which is bigger: s or -38\/7?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -147456*i**3 + 149248*i**2 - 16177*i\/9 + 49\/9 = 0.\nAnswer: 7\/1152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {o: 1, r: 1, j: 1, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + m - 3 = -2*m, 5*m - 5 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45913?\nAnswer: 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*i + 432 = -12*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b**2 + 3*b**3 - 5437915*b + 5437919*b - 40*b**2.\nAnswer: 3*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46\/47 - 2393\/188. Calculate the common denominator of (-5)\/(-2)*13\/455 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 65*g**2 + 13*g - 33. Let w be r(11). Suppose -q + 2*u + 1692 = -973, 0 = -3*q + u + w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16589*l + 2222920. Determine f(134).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.7 + -74.7. Which is the closest to k? (a) -2 (b) -5 (c) 0.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 8*b**2 + 11*b - 7. Let f be d(7). Suppose -t + f = -1. What is the smallest common multiple of 6 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-three fifths of a hour?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -73944?\nAnswer: 1\/73944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 11. Let x(v) = 4*v - 2. Let g be x(-5). Let m be (r\/(-1))\/((-1)\/g). What is the greatest common divisor of m and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 + 389. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/20 + (-222)\/210. Factor 1\/7 - 1\/7*k - 1\/7*k**2 + p*k**3.\nAnswer: (k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 2*o + 130 = 36*o. Sort 3, 253, o in decreasing order.\nAnswer: 253, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 94. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.483 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29339520 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0 + 33*h - 3\/2*h**2 + 2\/3*h**3 + 1\/12*h**4. What is the remainder when t(-8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5556956698 and 10?\nAnswer: 10.5556956698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221 (base 3) to base 9.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62839426?\nAnswer: 2, 13, 43, 56207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -393, -580, -767?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*g**2 - 98*g**2 - 15*g**2 + 45*g**3 - 95*g**2 wrt g?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f + 5. Let j(q) = -3*q - 1 + f + q + q. Let u(t) = 5*t - 1. Let p(d) = -2*j(d) - u(d). Calculate p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 437556.3 years?\nAnswer: 43755.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 3*r**2 - 9*r - 7. Let b be x(-3). Suppose -t + 3*f = t - b, -f = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9180603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -11*u**2\/2 + 4*u + 5. Let m be y(-4). Suppose 5*w - m = 22. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4 + 7 - 3 - 3*i - 1. Suppose 0 = -2*r - 8 + 2. Calculate x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -39, -3118 in ascending order.\nAnswer: -3118, -39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -17, -1, 19, 43, 71?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -430, 1, 8, 0 in descending order.\nAnswer: 8, 1, 0, -3, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 - 8*j - 3. Let p be o(-4). Let w = 26 - p. Find the common denominator of w - 4\/(-120)*-69 and -83\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*sqrt(1500)*-5)\/(sqrt(192) + (-1*sqrt(192)*2 - sqrt(192))))**2 + 1).\nAnswer: -3189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*y - 32, y - 3*j = 16 - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 2. Suppose 0 = -r + 5*o + 14, r + 0*o = o + 2. Let n(h) = 5*h**3 - 2*h**2 - h. Let m be n(r). List the prime factors of v(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(-7*s + s - 9*s)*(-3 + 4 + 1 + (-3 - 1 + 1)*(3 + 3 - 4) + 0 - 2 + 0) to the form h + l*s and give l.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4540.3 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*r, c + 8 = -17*r + 16*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3409.08 less than -74900.81?\nAnswer: -71491.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 51 = -24*o - 2*m + 78, 2*o = -4*m - 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14577\/215 - (-5)\/(25\/6). Let m(s) = -s - 4. Let u be m(-2). Let y be u\/6 - (-417)\/9. Calculate the highest common factor of d and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15906, 15926, 15946, 15966, 15986, 16006?\nAnswer: 16026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {a: 3, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -35*r + 29. Calculate j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 48690*m**2 + 146007*m + 2629098.\nAnswer: (m - 48687)*(m - 9)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*w + 2*r - 7, -w - 2*r + 2 = 0. Factor 1\/2*c**3 + 1\/2*c**w + 0 - 1\/2*c**4 - 1\/2*c.\nAnswer: -c*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - s - 4*s - 3300*s**2.\nAnswer: -3300*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s. Let o(i) = -8*i**2. What is c(o(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 16) to base 8\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 24 - 9. Let i = 471 + -471. Suppose i = -v*p - 122266 + 2882266. What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6338, -25129, -56438, -100259, -156586, -225413?\n\"Answer: u**3 - 6265*u**2 - 3*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 4*c + 3. Let x be g(3). Let y(p) = -3 + 4*p + 4 - x*p. Let n be y(-2). Solve n*k = 4*a - 15, 4*k + 2 = 3*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*g - 3 = 0, 8200*h = 8202*h - 3*g + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 34*w - 195. Determine o(10).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101440 by 3170.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 56 = -4. What is the smallest common multiple of b and ((-22)\/(-8))\/(4\/16)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -2.62405.\nAnswer: 0.1836835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.8 - 9.32. Let o = -0.48 + n. What is the nearest to -2\/3 in -0.3, o, 5\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + -1 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4030 and -53\/60.\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 14*w. Suppose -r - 2 = -4. Solve 0 = -j - 4*p - 4, 2 = r*j - w*j - 2*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:38 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326 + 329 + 327 - 982 - 1635*d**3.\nAnswer: -1635*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*u**5 + 13*u - 64*u**5 - 16*u**4 - 35*u**4 + 2 wrt u?\nAnswer: 40*u**3 - 612*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1*s*s))\/(s*(s\/(s\/s**(-3\/4)*s))\/s))\/(s**18\/(s**(-5)*s)) assuming s is positive.\nAnswer: s**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17435 - 17430. Put -3, 60, y in ascending order.\nAnswer: -3, y, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:07 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+-0.312225\nAnswer: -1.212225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 38*o + 33*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -610767031504 take away 0.2?\nAnswer: -610767031504.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 0. Let m(q) = 2 + 11*q - 22*q - 7 + 12*q. Calculate m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 10*l**2 - 15*l - 5. What is the tens digit of a(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(1 + sqrt(57)\/sqrt(3)))**2.\nAnswer: -320 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162 + 1619. List the prime factors of b.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = 3*y - 4*n, -2*y + 13 = 5*n. Suppose 0 = -3*i - 4*b + 25, 2*i - 2 = 3*b - 8. Let m be 0 + -1*(-6)\/i. Sort m, 5, y.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12\/7, -0.1, 123, -5\/141, 1?\nAnswer: -5\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 64140.9 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/6*-2*(-9 - -11). Calculate the remainder when 73 is divided by 26*(-1)\/(x\/(-15)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - 69\/(-15). Solve -o - 6 = -5*o - t, 6 = w*o + 2*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w = 14*w. Solve w = -b, -3*b + 0 = o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-309*m**5 + 7*m**4 + 308*m**5 - 63*m**3 + 105*m**3).\nAnswer: -m**5 + 7*m**4 + 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 + 32 = 5*u, 0 = -z + 2*u + 13. Solve 4*r + 27 - z = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 21 - 9)*(2*b + 2*b + 3*b)*(7 - 4 - 1).\nAnswer: 434*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -32*w**2 - 21*w + 931. Let s(x) = 47*x**2 + 30*x - 1397. Let j(t) = -7*g(t) - 5*s(t). Find the first derivative of j(z) wrt z.\nAnswer: -22*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 12*b**2 + 22*b + 45. Let n be 92\/(-6) + (26\/(-3) - -9). Is 45 a factor of s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 5, -3, -850, -27 in increasing order.\nAnswer: -850, -27, -9, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/7, -5\/6, 1\/4, -0.14.\nAnswer: -5\/6, -0.14, 1\/4, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -1\/2*a**3 + 0 + 6*a**2 - 25*a. What is the remainder when u(-6) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*k**3*q**2 - 115*k**3*q + 2*k**2*q - 209*k - 675185*q**2 - q + 17 wrt q?\nAnswer: -100*k**3 - 1350370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 + 3\/4 + (-1914)\/88. Sort 0.1, 0.2, v, -1\/2 in increasing order.\nAnswer: v, -1\/2, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 674 and 30?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s - 2*s)*(17*s - 16*s**2 - 17*s).\nAnswer: 64*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -16 + (7 - 10) + 21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7371 - -11307. Is j\/10 - (-33)\/(-55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1389011\nAnswer: 6945055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53085805 or 53085803?\nAnswer: 53085805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toq. Give prob of sequence oq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 12*q - 9. Let s(r) = r**2 + 6*r + 5. Let p be s(-6). Let k(b) = -2*b**2 + 6*b + 5. Let w(i) = p*k(i) + 3*o(i). Determine w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 405.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83429, 81601, 79775, 77951, 76129?\n\"Answer: s**2 - 1831*s + 85259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 6)\/(-3) - -4. Let z(k) = 6*k - 4. Let j(g) = -4*g + 5 - 6*g + 3 - 3*g. Let b(a) = -2*j(a) - 5*z(a). Let c(u) = u - 1. Determine i*b(d) + 6*c(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 90. Suppose 11*h = 7*h + 12, m*h = 4*i - 396. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 283, 568, 853, 1138?\n\"Answer: 285*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2637538*k**2 - 2*k. Let m be v(-3). Suppose 6*f + m = -17722152. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -48. Suppose 4*t - 2*o - 20 = o, -3*t + 26 = -5*o. Is t*a\/18*-3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10. Let h = 4.7 + 0.3. What is the closest to 1 in o, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -32 (c) -614\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3121409568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6241016.\nAnswer: 2, 780127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979329 divided by -4?\nAnswer: -2979329\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*t - 2*d - 14, -4*t = 3*d - 10. Suppose -2*z + 0*z = -12. Suppose -g + z*g - 5 = 0, t*k - g - 7 = 0. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160020247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = -4*v + 67, 2*v - 32 = 2*i. Solve 0 = 5*c - 5*l - v - 1, -4*c - 4*l = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 838, 2999, 7236, 14245, 24722, 39363?\nAnswer: 58864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000363935 rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:18 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h. Suppose h = -73*a + 76*a - 201. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222495.\nAnswer: 3, 5, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653057 = 66*i + 148619. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 17*j = -7*j + 1369 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5418*k**2 + 12780*k**2 - 7364*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 135257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 9. What is the remainder when 4 - (3 - 6 - 4)\/1 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21705 + 35679. Is z a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 10:31 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 6*v = -2. Let r = 8 + v. Suppose 2*w - p + r*p = 30, 5*w + 3*p - 75 = 0. What is the remainder when 41 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -4*p**3\/3 + 4*p**2 + 17*p. Let u be ((-8)\/10)\/((-4)\/(-30)). Is 28 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 610*r - 4307. Calculate i(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 199*c**2 + 435*c + 6631. Give a(-201).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let f = y - 5. Suppose 12*j + 58 = -17*j. Which is the closest to 1\/3? (a) -0.4 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 + 654. Is (m\/(-12))\/((-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (sqrt(252) + (sqrt(252) + sqrt(252)*1 - sqrt(252)) + sqrt(252) + sqrt(63))**2 + sqrt(63).\nAnswer: 3*sqrt(7) + 3083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q - 4*j + 2925 = 0, q - 2919 = 2*j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - 24340?\nAnswer: -24224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-18))\/(-9 - (-35)\/5). Is v less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 23*y**2 + 10*y - 236. Let t be f(23). Let g be t\/7 - 5472\/(-896). Determine l, given that 21\/4*l**4 - 3\/2*l + 3\/2*l**3 - g*l**2 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8304 and 360.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6688)\/(-448) - 5) + (-6 - 4)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 - 0) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 6. Let t = 1 - q. Suppose t*j = -0*j + 16. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 70*h + 26. Let k be c(23). Solve -4 = -3*b - 4*x, k*b + 5*x - 13 = -5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*c - 13364 = 3146, 4*c - 8280 = -b. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/2 + 3*y. Let q = -59 + 63. Let t(c) = 4*c**2 + c**2 - q*c**2. What is t(i(n))?\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10000001010?\nAnswer: -10000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/(-575))\/((-18)\/30)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(672) - (1*sqrt(378) + sqrt(42)))\/((sqrt(30) - sqrt(1920)*2)\/(1*sqrt(320))).\nAnswer: -32*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 2*b**2 + 3*b. Let o(u) = -u**3 + u**2 - 1. Let w(y) = -o(y) + q(y). Let m be w(-4). Suppose -m*c + 956 = -4559. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvd when three letters picked without replacement from {p: 3, d: 2, j: 3, e: 1, w: 1, v: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - (-36 + 14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-4 - -19)*2\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:00 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**5\/4 + 25*l**4 + 1595*l**3\/2 + 4205*l**2 - 559*l. Factor o(h).\nAnswer: 5*(h + 2)*(h + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-18)\/(-16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5527*t - 27631. Calculate j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + m - 6. Calculate x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 13*p + 12*p + 10*p + 15*p - 37*p - 29*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + f = 4, 0 = -3*q + f + 4*f + 26. Suppose 3*n + q*n = -4*g + 89, g - 2*n = 32. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 divided by 414.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833*f - 96 = -841*f. Solve -f*g - 46 = -106 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/12149 - 12153\/24298. Suppose 71 = -5*s - 139. Let t = 125\/3 + s. Which is the nearest to t? (a) n (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -30, -26, -20, -12, -2?\n\"Answer: k**2 - k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -27. Suppose p + 7 = -5*v + 19, g = 3*v - 4*p. Solve -d = -v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Suppose -d = -10 - 16. Let n(x) = -7*x + 11*x - d*x - 24*x. Calculate y(n(p)).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1184676 - 5?\nAnswer: -1184681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/5 - 52\/15. Which is the closest to g? (a) -0.2 (b) -2\/11 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 = -52. Let l(m) = 25*m + 11. Let u(w) = 12*w + 5. Let h(k) = -4*l(k) + 9*u(k). Let z be h(1). Calculate the greatest common factor of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17885.\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 - 178*s - 731. Determine u(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.7 + 34.7. What is the nearest to 1 in -1\/5, 5, i, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from osoqo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.13. Let q = -1.93 + s. What is the third smallest value in q, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010429 and 3639.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*(-10 - -9). Suppose 0 = 3*y + r*y - 25, -5789 = -2*s - 5*y. Is (s\/(-55))\/(1\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2404410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 5, 3\/29, -20, -9.\nAnswer: -20, -9, 3\/29, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.8, 2\/9, 880\/3, -0.2.\nAnswer: -0.2, 2\/9, 5.8, 880\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*p + 94, -4*k + 3*p = 14 - 73. Calculate the remainder when 490 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/5, -15\/5248, 4, 3\/2?\nAnswer: -15\/5248","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -0.9, 217, -4\/5, 0.2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-34)\/1785*-35)*(-2)\/((-520)\/(-6)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 + 17*h - 323. Does 4 divide y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, -5, -2, -1\/4, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*o = 810 + 499 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 75. Calculate the remainder when 3380 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from {x: 5, h: 14}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24976, -49954, -74932, -99910?\n\"Answer: -24978*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r**2 + 3*r + 1. Let c = -7 + 5. Is q(c) 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 7200, 8265, 10054, 12567, 15804?\nAnswer: 19765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/912 and -59\/22.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 76 - 1*(-2 + 1). Let c = g + -233\/2. Calculate the common denominator of -7\/6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/(-30) - (4438\/(-210) - -21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 13*r - 745 = -20*r. Sort 5, -5, r, -1.\nAnswer: -5, -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 114*x + 122. Give k(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4046 and 25\/189.\nAnswer: 109242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 9 = -3*v, 0 = -m + v - 0*v - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.5. Let m = -1.2 - -1.1. What is the closest to a in m, 1\/5, -1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 2*p**3\/21 - 60*p**2\/7 + 12. Factor i(u).\nAnswer: 2*u*(u - 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2319 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.5 - -17.5. Let s = x - -51. Which is the biggest value? (a) s (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 71 = -2*f - 4*o, 0 = -2*f - 4*o + 70. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 389359 + 0.2\nAnswer: 389359.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 16126000*d**2 + 13002393800000*d = 0.\nAnswer: -1612600, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -20. Let w = -19 + -13. Let s = i - w. Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -10*(0 - 4\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) 1 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3860750 divided by -3860750\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:28 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165289302 and 18365478.\nAnswer: 165289302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5)\/u)\/u)\/((u\/(u*u*u**(-3\/2)*u))\/u))\/(u**(4\/9))**(-10) assuming u is positive.\nAnswer: u**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 0) + (-2957 - -2967).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 4 - 4)*(0 - 6*o - 1 + 5*o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30100 by -100.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28148 (base 9) to base 11.\nAnswer: 13375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*h + 19*h - 2 + 14 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 12\/(-66) + 1038\/132*28.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, 0, 99624?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -16*l - 208. Is 16 a factor of w(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-6))\/(b**3\/b))\/(b\/(b\/b**0)*b*b**(-2\/13)*b)*((((b**11*b)\/b*b*b)\/b)\/((b\/(b*b**0))\/b))**(-20) assuming b is positive.\nAnswer: b**(-3339\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414131351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 + 126 = 3*r. Suppose 2*m + r = 3*m. Suppose 0 = -3*i - a + 2*a + m, -3*i - 4*a + 109 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -303*k + 672. Let v(m) = 114*m - 252. Let d(j) = 3*n(j) + 8*v(j). Let h(g) = -7*g**2 + 0*g**2 - 4*g**2. Give h(d(i)).\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15*o**2 - o + 3. Let k(j) = -31*j**2 - 3*j + 7. Suppose -84 = 24*q - 4*f, 5*q + 2*f - 5 - 3 = 0. Determine q*k(z) + 5*g(z).\nAnswer: -13*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 349*z - 479. Calculate t(4).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7640496 divided by 388?\nAnswer: 19692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 10*(-6)\/(-12). Which is smaller: 19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/60 - i**3\/2 + 2*i**2. Let o be u(4). Suppose -17 = 3*d + 4*x, 3*d + 5*x - o + 35 = 0. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {g: 1, l: 7, v: 2, o: 3, x: 5, z: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50 + 51)\/(1\/(-6)*-3) - -11542. What is the highest common factor of r and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 15 = 4*b. Let s = 52 - 52. Differentiate -b + s*o**4 + 2*o**4 + o**4 wrt o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43927 - -97441. Is 145 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h. Let y(g) = -g**2 - 5*g + 1. Let v be (39\/117)\/(14\/(-6) + 2). Give v*y(z) + 3*c(z).\nAnswer: -2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9440 by -236.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 + 202 = 7*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(sqrt(1088) - (sqrt(1088) + (0 + sqrt(1088) + 2)**2 + sqrt(1088))) + 3.\nAnswer: -4367 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 + 1889*h**4 - 172322*h**3 + 3282366*h**2 + 24550497*h + 39304737 = 0.\nAnswer: -1977, -3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k**4 - 6*k**3 + 17*k. Let z(f) = -24*f**4 + 13*f**3 - 35*f. Let q(y) = 13*r(y) + 6*z(y). What is the second derivative of q(n) wrt n?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6681 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3\/(63\/3)). Let f be (0 + z)\/(2\/6). Suppose -5*c + f = -89. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1736072688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*p - 1087*p + 3268*p - 1111*p.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h + 21*h**3 - 10*h**2 - 11*h**3 - 10*h**3 + 2*h - h**3 - 25. Give d(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q. Let j(n) = 10965*n**2. Calculate j(v(w)).\nAnswer: 1578960*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 + 22.4. Let l = 24 - w. Suppose 3*j - 2*x + 5*x = 15, -5*x + 9 = -3*j. Which is the closest to 0.3? (a) j (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2080016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 100, 138?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-14)*m)\/(m*m\/((m\/(m\/(m\/m**(-17))*m))\/m)*m))**(-39) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-146)\/(-10) + (-12)\/(-30). Solve 7*x + 15 - s = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1113.9 - -1163. Let n = y + -42. Round n to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 5. Let o(w) = -7*w + 4. Let y(b) = 5*c(b) + 6*o(b). Let l(r) = -2*r - 1. Calculate -6*l(h) + 7*y(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003005 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 113?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*(-24)\/(-2). Let t be r\/14 + 52\/14. Suppose 28 - 93 = -5*y - t*l, 13 = y - 4*l. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 894584875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.446 times 173\nAnswer: -77.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j + 1. Suppose l + 1 = 2*y, 7*l - 11 = 2*l + 2*y. Suppose 0 = -2*o + l*o - j. Put -4, o, -1 in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*g + 35*g + 11*g as d*g + t and give d.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 - (-1 - 8). Let z(q) = 5*q + 8. Let u be z(y). What is the common denominator of 83\/20 and (-4)\/(-12) + 137\/u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1025960.7 months?\nAnswer: 854.96725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*d = -2054, 8 - 4 = 4*d. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 165132?\nAnswer: 165135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose r + 2*t + d*t = -10510, 2*t + 4 = 0. Round r to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.9*-192984\nAnswer: 2682477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 + -1*2. Let k(o) = -o**2 - 4*o + 4. Let p be k(z). Let u(f) = -f - 1. Let q be u(p). Solve -5*h + 3 + 7 = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxu. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.039 - 0.061. Let i be (6\/(-9))\/(7\/(-3)). Which is the nearest to i? (a) -4\/7 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.05 (b) -318 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 4179215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7197 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 5732352*o - 63056356.\nAnswer: 4*(o - 1433099)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 8*w**2 + 5*w + 17. Let z be l(7). Suppose z = 2*q - 1, 2*v + q = 14. Calculate the remainder when 6 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -18*r**2 + r. Calculate f(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 73 - 42 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p - 146*p = 1400 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16794.9*-0.037\nAnswer: -621.4113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 709*t**2 - t - 362717.\nAnswer: 1418*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-625)\/375)\/((-15)\/509526)?\nAnswer: 2, 28307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-210)*5*-14*11\/(-22)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1946 and -3\/10.\nAnswer: 9730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*2*(-3)\/6. Suppose -1 = 3*b - z. Suppose 3*j + 4*r = 22, -3*j = 2*j + b*r - 22. Let c(f) = f - 1. Let k(h) = -4*h + 3. What is j*c(a) + k(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 90 and 4?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + 464.9. Let y = -471.55 + q. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(78)*1)\/(sqrt(6) + (sqrt(864) - sqrt(864)*-2)))**2 + (-5 + -1*sqrt(468))*1.\nAnswer: -6*sqrt(13) - 6832\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07024948 - -0.31025006. Let y = x + -0.24. What is y rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-12)*1008\/(-32). Is 4 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxtttxtthytytytyyh. Give prob of sequence tyxy.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 2, q: 1, w: 1, j: 8, p: 3}. What is prob of sequence pqbb?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 1 + 1. Let u = 5.1 - 6. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 10*s**3 - 88*s**2 - 120*s.\nAnswer: 2*s*(s - 10)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 5*p**8\/336 - p**5\/15 + 5*p**2\/2 + 3*p. Let r(l) be the first derivative of i(l). Find the third derivative of r(b) wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52542 (base 6) in base 5?\nAnswer: 211433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 484 - 484.4126. What is k rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y**3 + 61*y**3 - 2*y**3)*(-4*y - 11*y - 9*y)*(6*y - 4*y + 2*y).\nAnswer: -7200*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 2 - p**2 + 5*p**3 - p**3 - 3*p. Let h(q) = q**2 + 4*q + 5. What is the remainder when x(2) is divided by h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 49, 177, 429, 847, 1473?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/7 (b) 0.5 (c) -5\/2 (d) 0 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r**3 - r**2 - r - 1. Give a(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281*v**2*w**2 - 2*v*w**2 - 506*w**2 wrt v.\nAnswer: -562*v*w**2 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.91614 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/6 + 2 + 15\/90. Suppose 4*l = 2*t + 3190, j*l - 3*t = l - 808. What are the prime factors of l?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -858, 1 in ascending order.\nAnswer: -858, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 plus 0.5?\nAnswer: -641.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -9, -3 in decreasing order.\nAnswer: -3, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -280332.2887 rounded to the nearest 100?\nAnswer: -280300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let f = -7 - -9. Let u(j) be the first derivative of 0*j + 1\/2*j**2 + f. Determine b(u(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 5 (b) -0.2 (c) -29\/8 (d) 262\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 101 + 38*p**2.\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507383.\nAnswer: 3, 55829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) - (-6 - -1). Let i(u) = u + 1. Let m be i(q). Suppose r + 7 = -r + 3*p, -5*r + 4*p = 0. Solve 5*f + r + 1 = 0, -3*z + m*f = -11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 24. Let k = 20 - z. Solve -k*r + 2*r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -300*j + 299*j - 14, -j + 2*w + 14 = 0. Calculate the lowest common multiple of j and 358.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (951\/1268)\/((-2)\/32).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i**4 - 33501*i**3\/2 - 143872347*i**2\/2 - 29967702*i + 11988198 = 0. What is i?\nAnswer: -1587, -2\/3, 1\/4, 2518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(z - 1 + 1) - 5 + 3*z**2 + 5 - 2 + 2 - z**2 + (z - 2*z + 3*z)*(-7 + 7 - z) + z - z + 4*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 8*j - 58. Let p be h(13). Suppose -9*d - 14 + 104 = 0. Solve -p*k + 15 = -d*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 20. Suppose 0 = -t*u + 45 + 15. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 10:23 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/g)\/g)**(-7\/3)\/(g*g**(-1\/2))**(-41) assuming g is positive.\nAnswer: g**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -3*n. Suppose 5 = -5*m + 3*x - x, -n = 2*m - 4*x. Calculate the remainder when 110 is divided by m\/(-3) + (-83)\/(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 159.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 15847?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 23*f - 100. Let r be j(-16). Let q = r + 666. What is the remainder when q is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + 0.06. Let k = -95 - -101. Let j be ((-10)\/(-15))\/(k\/9 + 1). Which is the fourth smallest value? (a) 4 (b) o (c) j (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022022212 (base 4) in base 7?\nAnswer: -10016125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 - (44 - 48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-1)\/2)\/((-27)\/(-5400)*8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -4. Suppose 0 = 3*m - 8*m - r. Let f = 4 + m. Solve 3*a = -i - 4 - f, -4*i = a - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(68))\/sqrt(4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136110*c + 136110*c - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + z. Suppose 0 = 3*t, 4*t + 1 = -k + 2*k. Let q be s(k). Suppose 3*r - 331 = -4*o, r - q*r = -10. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 22. Give i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 4*r - 4*r)*(1 - 1 - 4 - 2 - 2 + 1 + 2 + 1 - 4 - 1 - 2 + 4 + (3 - 5 + 4)*(-3 + 3 - 2)) to the form q + c*r and give c.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.923 + 56.2. Let b = -44.71 + 45. Let i = b - m. Round i to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6354901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4.6. Suppose -o - 4*h = 8, h + 23 + 0 = 5*o. Suppose -r = 3, -4*r - 1 - 27 = o*u. What is the nearest to -0.1 in u, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/120 - j**5\/20 - j**4\/2 + j**3\/6 - 5*j**2 + 12. What is o(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.93 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 255*r**2 + 22*r. What is the tens digit of y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b + 513. Calculate the remainder when 250 is divided by j(57).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:12 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -2*n**6\/15 - 5*n**3\/3 + 3*n. What is the second derivative of x(t) wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92480 and 4870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 1}. Give prob of sequence cu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026781739 to 4 dps.\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233758*i**3*n*t + i**3*n + 3*i**3 + 10*i**2 - 1551*i*n*t + 17*n*t wrt i.\nAnswer: 1402548*n*t + 6*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -11. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t**3 + 27*t**3 - t**3.\nAnswer: 79*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/(-3) - 4\/(-6). Let s = 79 + f. Suppose -5*y + 232 + s = 0. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 21222011002?\nAnswer: -21222010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(98\/1344). Let r(k) = k**3 - 4*k**2 - 3*k - 4. Let y be r(5). Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3))**41 assuming x is positive.\nAnswer: x**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k*k)**50)**48 assuming k is positive.\nAnswer: k**5400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 - 182.9. Let s = 13.2 + -11. Let b = n - s. Sort b, -4, 0.2 in increasing order.\nAnswer: -4, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39829015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/99 + (-478)\/(-234). Let g = f - 32\/39. Which is the smallest value? (a) 0.65 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + i = 37 + 20, 0 = 2*u - 4*i + 112. Let y be 126\/6*(-19)\/(-57) + -66. Is y less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 8) to base 15\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 110550 = 4*t, -1118 = 3*t + 5*i - 84013. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*o - 422. Let l = o + -83. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/96 + 162\/(-208). What is the closest to 1 in -10, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 + -90 - (2 + -8 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -39495*p**2 - 17*p. Let z(g) = -3*g**2. Calculate t(z(u)).\nAnswer: -355455*u**4 + 51*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567851 (base 9) to base 2.\nAnswer: 1010011000110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c**5*c)\/c))\/((c**(-7)\/c)\/c)*c\/((c\/(c**6*c))\/c)*c**(-5)*((c*c\/(c**9*c))\/c**(-7))**(14\/5) assuming c is positive.\nAnswer: c**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4125, -17402, -53281, -103512?\n\"Answer: -7176*t**2 + t + 11300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -1\/12*d**4 + 3\/4*d**5 - 1\/2*d**2 + 11*d + 0 + 1\/3*d**3. Let u be a(1). Calculate the greatest common divisor of u and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 - 13.7. Let t = -11 - i. Let k = 814\/7 + -116. What is the nearest to t in 0.5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-12))\/(2\/5) + 1)*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -63. Let l = 41\/35 + -4\/7. Which is the nearest to 2\/33? (a) v (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7994921 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1162 and -4731.\nAnswer: -5893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 3030?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13143 (base 16) to base 6.\nAnswer: -1401443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24892*a**3*y - 30885*a**3 wrt y.\nAnswer: 24892*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -0.9. Let g = -18740\/27 - -694. Let s = g - -68\/189. Sort m, s, -5\/4 in ascending order.\nAnswer: -5\/4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -32*x + 85*x - 2834645. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -190234, -380469, -570704, -760939, -951174, -1141409?\n\"Answer: -190235*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 7. Let l(d) = -d - 2. Let x be l(-7). Suppose 43 = x*c - 27. Calculate the smallest common multiple of h and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.221955 plus 1268.86?\nAnswer: 1269.081955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/(-175))\/((-1)\/(-15)). Let w = -79\/70 + g. Let i = -2 - -3. Is i less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.23, 0.1, 5\/2, -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3\/4 + 179*s**2\/4 + 1131*s\/2 + 1204 = 0?\nAnswer: -43, -14, -8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-6)\/(144\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(-8)\/(-80) + (-42)\/4. Let q be 8\/4 - (-3 + 1). Let a(b) = -15*b**2 + 14*b + b - q*b. Let y(m) = -3*m**2 + 2*m. Give l*y(w) + 2*a(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x - 17. Let p be k(-7). Let n = p - -86. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224.41 - 5.41. Let q = d - 219.0069. Round q to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 + q. Let x be ((-3)\/(-1))\/(9\/6). Let i(n) = -n + 2*n - x*n. Determine m(i(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2004 is divided by 998.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 293 + 129 = 0. Suppose -3*k - s = -2*g + 442, 3*k + g + 864 = 0. Let d = 419 + k. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)\/(a\/a**(2\/3))*a**(-4\/7)\/a*a*a**(-2\/9)*a*a*a assuming a is positive.\nAnswer: a**(181\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 140 = 3*b. Let y be 4\/(-14) + (-26)\/b. Let h = 977\/8 + -122. What is the nearest to 1 in y, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 36. What is the units digit of -24*(4 - 52\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = a + 4, 5 + 0 = -632083*i + 632084*i - 2*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/104136 and 71\/117153.\nAnswer: 937224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-38896)\/34)\/(-44))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y**2 - 17*y + 16. Let x be v(4). Let f(r) = 3*r + 9. Let z(c) = 5*c + 17. Determine x*z(b) + 7*f(b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383958, 767899, 1151840, 1535781, 1919722, 2303663?\nAnswer: 2687604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 1. Suppose 9*t - 14 - 13 = 0. Let n(q) = -10*q**3 + 8. What is t*n(c) + 24*l(c)?\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Which is the nearest to 1? (a) -0.5 (b) n (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + 2*s**3)*(2 + 2*s - 2) + 67*s**4 - 33*s**4 + 13*s**4 + 2003 - 42*s**4 in the form k + l*s**3 + a*s + j*s**4 + n*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 (base 6) in base 5?\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-18.234\nAnswer: 1.8234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {v: 8, m: 2, j: 7, b: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 393422 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-38))\/((-11)\/396).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 12*r - 39. Let m(v) = 5*v**2 - 61*v - 179. Determine 2*m(t) - 11*u(t).\nAnswer: -t**2 + 10*t + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w - 51*w - 78*w.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -18*p - 90. Let c be (-20)\/(-2) - p - (-1 - 1). Put 0, 5, 30, c in increasing order.\nAnswer: 0, c, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.7 - -12. Let i = o - 0.3. Suppose -3*h + 2 = -x, 5*x - 16 = h + h. Which is the third smallest value? (a) -0.3 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (3 - (6 - 1)). Solve -2*w + s = t, 2*w + w = 5*t + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2. Let d(t) be the third derivative of -t**5\/10 - 7*t**4\/24 - 80*t**3\/3 - 74*t**2. Let h(v) be the first derivative of d(v). Calculate g(h(w)).\nAnswer: 288*w**2 + 336*w + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 - 40*i. Let x(u) = u. What is m(b) + 30*x(b)?\nAnswer: 5*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 2097*o - 2096*o - 6 + 42 + 4194*o to g + z*o**2 + r*o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184966*o**3*s**3 - o**3*s**2 - 16084*s**2 wrt s.\nAnswer: -1109796*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufu. What is prob of picking 1 f and 2 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(3*sqrt(200)).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**2 - 119*j - 13. Give z(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126660 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 29406.0791 to 0 decimal places.\nAnswer: 29406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 80*l**3 + 17*l. Let g(f) = 2290087 + 4*f - 2290087 + 20*f**3. What is 9*g(z) - 2*m(z)?\nAnswer: 20*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563 - 518. Solve 0 = -47*f + k*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 307.\nAnswer: 14\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4201956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -18, -17, -12?\n\"Answer: 2*h**2 - 9*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327545 (base 8) in base 15?\nAnswer: -755db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(4 + 1 - 2)*(f**5 + f**5 - 3*f**5).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.5 (c) -2 (d) 0.2 (e) 2.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -25, 1, 3\/13, -96\/121 in ascending order.\nAnswer: -25, -5, -96\/121, 3\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*x = -4*h - 308*x - 53, -4*h - 50 = 2*x for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 9*b. Let t be l(9). What is the closest to -2\/5 in t, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 558220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70007 - -98394. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.39 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -576 + 580. Suppose -3*i = -r*x + 3374, -3*x + 4*i + 2578 = 44. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 16 = -670*y + 682*y, 24 = 4*l + 4*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -0.05688.\nAnswer: 0.96696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 295290324 divided by -32810036\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, -1.5, 2\/1531, -1\/10?\nAnswer: 2\/1531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {f: 6, m: 1, s: 2, r: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 0*z + 1332 = 0. Let o(g) = 17*g**2 - 4*g + 2. Let r be o(2). Let s = z - r. What is the lowest common multiple of s and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1425 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154736, 309478, 464220, 618962?\nAnswer: 773704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/45*94\/16. Let x = r - 17\/2. Which is the closest to 6? (a) -4 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49142, -98283, -147420, -196553, -245682, -294807?\nAnswer: -343928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**4 - 7*a**3 + 12*a. Let v(q) = -2*q**4 + 5*q**3 - 8*q. Let d = 22 + -17. Let i(u) = d*o(u) + 7*v(u). What is the second derivative of i(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)*m*m*m**(-5\/2)*m**11\/m*m*m*m**(1\/6) assuming m is positive.\nAnswer: m**(277\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let x(a) be the second derivative of -a**6\/720 - a**4\/4 + 3*a. Let v(m) be the third derivative of x(m). Determine h(v(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 153337 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 8*q - 40. Let h be (q\/(-54))\/((-6)\/(-4)). What is the third biggest value in h, -0.11, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + 0 + (-7 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814870766 to the power of 1\/2, to the nearest integer?\nAnswer: 42601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21296)\/(-633556))\/(-2*(-1)\/(-21)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w - 7 + 7 + 3 + (-3*w - 3 + 3)*(0 - 5 + 0))*(w + w + 2*w + (w - w + 2*w)*(4 + 3 - 5)) to the form y*w**2 + f*w + n and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/42 + 1217\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by -78\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 138362 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(3 + 2\/(-4)). Let z be (0 - -2) + g + 0. What is the second derivative of -2*f**5 + 5*f - f**5 - z*f + f wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**2 - v**3 - 2*v + 0*v**3 + 4 - 6 - 8. Let m(w) = 7*w. Let l be m(-1). Calculate the smallest common multiple of 18 and b(l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 155447, 155469, 155505, 155555?\n\"Answer: 7*s**2 + s + 155439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.045 + -0.135. Let s = -0.12 + t. Let l = 3 + -3.4. Sort l, 4, 5, s in decreasing order.\nAnswer: 5, 4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13482 and 1779172353?\nAnswer: 6741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -10) + (1 - (8 + -30))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70979885 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 18*v**2. Let k(n) = -n**3 - 7*n**2 + 81*n + 41. Let d be k(-13). Let i(j) be the second derivative of 0*j**d + 0 - 4*j + 1\/6*j**3. Determine i(a(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.015371 - 0.1\nAnswer: -0.115371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0 - 1\/20*y**5 - 1\/12*y**4 + 8*y + 1\/2*y**2 + 1\/6*y**3. Find b, given that h(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6254317*u**4 - 558*u - 760 wrt u?\nAnswer: 75051804*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 7*q**4\/12 - 3*q**2 - 2*q. Let y(a) = -15*a**2 + 13. What is -13*i(n) - 6*y(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*j**2 + 194*j - 44226 wrt j?\nAnswer: 32*j + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from ixffzifiiixxf?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38277540 divided by 3574.\nAnswer: 10710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137543 + 5457 = -22*w + 72*w. What is the highest common divisor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 4*p**2 - 5*p - 3. Let z be s(-5). Let b = -5 - -7. Is 2\/z*(-51)\/b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1528518.14 rounded to the nearest 1000?\nAnswer: -1529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 22, 27, 32, 37?\n\"Answer: 5*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6\/(-2)*(-8 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084410 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153657 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(-2))\/(75\/45))\/(-1*3\/(-50))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 58 + 104. Let q = 100 + -1. What is the remainder when q is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(168)\/sqrt(7))\/sqrt(12) + (sqrt(2) + sqrt(12)\/(-4*sqrt(6)))*5)**2.\nAnswer: 95*sqrt(2)\/2 + 561\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/20 - g**4\/3 + g**2 - 2674*g - 2. Let x be 76\/(-18) + 6\/27. Calculate k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*1*30\/10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -8 (b) -1\/4 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -83931, -5, 0.26 in ascending order.\nAnswer: -83931, -5, -1\/4, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1210214 + -10?\nAnswer: 1210204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 77*r + 3701. Let y be m(-48). Put -775, -3, y, -1 in descending order.\nAnswer: y, -1, -3, -775","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 2\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 148\/210 + 2\/(-15). Sort -5, -134, 2, g.\nAnswer: -134, -5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-148)\/5920)\/((-315)\/600).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 less than 649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 411102 (base 5) in base 3?\nAnswer: 200012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/84 and ((-759)\/(-7590))\/((-444)\/1030)?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37872 is divided by 1052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**3 - 95224*h**2 + 3*h - 54856361.\nAnswer: 21*h**2 - 190448*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22034.5399 to the nearest 10.\nAnswer: -22030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 690960 divided by -57580?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**8\/56 + 7*l**5\/60 + 6*l**2. What is the third derivative of a(w) wrt w?\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - i - 13 + 2*i**2 - 10*i**3 - 4*i**2 + 20. Let w(h) = 43*h - 20*h + 13*h**3 - 16*h**3 + 2 - 23*h - 2*h**2. Calculate -2*g(a) + 7*w(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -1700?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 80954*f**3 - 2*f**2 - 15*f + 16. Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/2 + 243*t\/2 - 1165 = 0?\nAnswer: 10, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 14, -252, -758, -1582, -2802, -4496, -6742?\nAnswer: -9618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + -0.5. Let p = -4 - 16. Let n = -16 - p. Which is greater: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.05\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 254 - 74 + 22*b - 21*b + 252 in the form s*b + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251261991*b**6 + 5373*b**2 - 2615.\nAnswer: -30151438920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*g + 6 + 2, 4*g = 4*t - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27045 divided by 5\nAnswer: -5409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r**(2\/9)*r))\/r*r*r*r\/r**(1\/3)*(r**(2\/15))**(-2\/35))**(-8) assuming r is positive.\nAnswer: r**(-30704\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 2 - 2)*(2*k**4 - 3*k**4 + 2*k**4) + 0*k**4 - k**5 + 0*k**4)*(-7 + 30 + 67).\nAnswer: -270*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3899240 (b) -1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g + 45. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uufuuuuf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:00 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120895*i**2 + 90972*i**2 - 48981*i**2 - 25096*i**2 + 121910*i**2 - 2*i**3.\nAnswer: -2*i**3 + 259700*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3859*n**2*t**3 - n**2*t**2 - 29*n**2*t - 4*n*t - 1 wrt t.\nAnswer: -23154*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 2 k when four letters picked without replacement from {w: 2, j: 4, p: 3, k: 7, f: 1}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d**2. Let c(p) be the second derivative of -1\/3*p**3 + 26*p + 0*p**2 + 0. What is c(g(f))?\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:27 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -8 - (1*-16 - -4). Solve -37*l - m = -32*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.975 - -1546.075. Let z = l - 1541.4397. Let k = z - 1.586. Round k to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t + 42. Let b(m) = -2*m - 7. Let a(i) = 6*b(i) + w(i). Let h(s) = 13*s. What is h(a(u))?\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 8*v**3 - 3 - 4*v + 7*v. Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let m(z) = 306*z**2 + 754 - 754. What is g(m(f))?\nAnswer: 306*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059197.3 rounded to the nearest ten thousand?\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 6*v**2 + 14*v + 10. Let l be 2\/(-10) - (-24)\/20. Let g(o) = o + 1. Let n(c) = l*b(c) - 8*g(c). Let n(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 5, 40, 1 in increasing order.\nAnswer: -6, -3, 1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45b8 - 16?\nAnswer: 45a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 62*y = -28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -41\/30*u**5 - 69*u**2 + 0*u + 0*u**4 + 15\/2*u**3 + 0. What is the derivative of i(y) wrt y?\nAnswer: -164*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*(k*k**(-10)\/k*k)\/k)\/k))\/(k*k**(-9)))**47 assuming k is positive.\nAnswer: k**846","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**2 - 4*x + 4. Let f(m) = -21*m**2 - 6*m + 6. Determine 5*f(i) - 7*k(i).\nAnswer: -7*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) 0.16 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14) + (-48)\/(-266) - (308 + 2292914\/(-7163))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273556\/31 + -8824. Suppose -x + 12 = -3*s, 4*x - 7 - 5 = 3*s. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4.5, 1\/2, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkllkklklkkl. What is prob of sequence kkk?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.61 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + sqrt(242) + sqrt(242)*-3 - sqrt(2))**2 + (-2 + sqrt(2) + -2)**2.\nAnswer: -8*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*a + 345 - 133*a + 169*a.\nAnswer: -85*a + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50097306 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -2*k**5\/15 - 7*k**2. Let z(j) = 3*j. What is z(c(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 6 + -52 + -10.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17056 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(80) - 2*sqrt(80)) + -2)*3 + -2.\nAnswer: -60*sqrt(5) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -345, -547, -751, -957?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxyyy. Give prob of sequence yyyx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -293.548 + -5.452. Which is smaller: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -40*h + 34. Let d be f(-8). Suppose 4*i + 2*i = d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1150\/(-115))\/(4\/(-2*(-1)\/(-1)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10853 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3749 bigger than -3748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*u - 918 - 570 = -265*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25347)\/(-155703)*(-2)\/(-14)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v*v*v\/v**5)\/v)\/(v**(-4)*v))\/((v*v*v**(-5)*v)\/(v**3\/v)))**(1\/78) assuming v is positive.\nAnswer: v**(5\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 10*l + 5. Let d be f(11). Let s be (-2 + d\/(-2))*-7. Let v = s - -10. What is the least common multiple of v and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/3)*u))**(-2\/73)*u*u*u**6*u\/u**(-2\/5)*(u**1)**(-43)*(u**(2\/9))**(-47) assuming u is positive.\nAnswer: u**(-144746\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 0.5 (c) -4 (d) -26.273 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8405*h**3 + 16821*h**3 - 8401*h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13537 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5253077434.\nAnswer: 2, 11, 238776247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304821 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h - 43. Determine a(31).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 148355?\nAnswer: 148355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/2, 5, -1, 0.215, 3\/8, 20\/19?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:22 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-6))\/((-2)\/6). Suppose -v*j = -3*j - 14. Let c be (2 - 201\/(-15) - 10) + 2\/(-5). Solve -4*a + x = a + j, 5*x - 5 = -c*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*q - 34, 15 = -5*r + 6*q + 69. Put -2, -258, 0, 1, r in ascending order.\nAnswer: -258, -2, 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66972.6*-1.\nAnswer: 66972.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 3. What are the prime factors of o(12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -23, -1, -5, 4 in ascending order.\nAnswer: -23, -5, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16242 - -730943\/45. What is the common denominator of -173\/30 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n - 2. Let s(y) = -y**3 - 8*y**2 - 13*y - 14. Let f be s(-6). Let v(b) = -18*b - 6. Calculate f*z(t) + 3*v(t).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44170 - -3706?\nAnswer: 50076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 33*q**2 + 10*q + 850. Suppose 6*o - 3*o - 1929 = 0. What is the remainder when o is divided by c(34)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 12 - 1 + 623*a to the form v + x*a and give x.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168 + -98. Suppose 0 = -z - z + q. Suppose -z = -k - o, -o - 105 = -k - 2*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 410, 1620, 3636, 6458, 10086, 14520, 19760?\n\"Answer: 403*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161861558 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6299022181 to the nearest integer?\nAnswer: 79366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 306805 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 2:28 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165\/9 - (-12)\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + 27. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + ((sqrt(176)*1 + 0 + -2)*-2)**2.\nAnswer: -64*sqrt(11) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/187583?\nAnswer: -6\/187583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925 + 923 - 246*k + 908 - 2756 + 192*k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(288\/8))\/((-11)\/(110\/15))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561990832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8484229?\nAnswer: 13, 233, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 560280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226296317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 2*c**4 - 405*c**2 + c**3 + 4 + 407*c**2 in the form i*c**2 + w + t*c + m*c**4 + q*c**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -14 + (-23 - -7 - -19)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450)*2)\/(sqrt(108)\/sqrt(3) + sqrt(9)) + 4)*6)**2.\nAnswer: 960*sqrt(2) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 - 3 + 3)*(1 - 3 + 0)*(2*d + d + 0*d) as q*d + s + l*d**2 + r*d**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from hdhdhhhhh.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60108 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5 + 50*s**4 - 114*s**3 - 146*s**2 + 424*s - 216 = 0.\nAnswer: -27, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 6, 3*b + g = 7*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70200 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 16, 24, 32, 40?\n\"Answer: 8*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/173 (b) 2\/3 (c) -1 (d) -58 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = -4*n. Suppose -2*b - 5*y = n, 5*b + 2*y - 9 = 7. Let k(j) = -j**2 + 6*j - 4. Let d be k(b). Solve -6 = -d*c + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = -a + 13, a = 4*s - 14 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(0 + 0). Let h(i) = -18 - i - 22 + 83 - 15 - 24 - 11. Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**3 - 2*m**2)*(-929*m + 929*m + 32*m**2) - 2 + 1 + 0 - m**5.\nAnswer: 63*m**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22376 divided by 2797.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19074160.58 rounded to the nearest 100000?\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 821075 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llpplvlqnlpypqlqqplq. Give prob of sequence ylvl.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 4*j + 19. Suppose -2*m + 4*w = -42, m = -3*m + 4*w + 64. What is the units digit of c(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/15 + x**4\/8 + x**3\/6 - 3*x**2. Factor l(y).\nAnswer: -(y - 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99407 = -2*l + 2273719. Let y = l - 786563. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -5940.\nAnswer: -11880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/11 + 188*j**4\/11 - 368*j**3\/11.\nAnswer: -2*j**3*(j - 92)*(j - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333*y**3 + 122*y**2 + 96*y + 211 wrt y.\nAnswer: 1998*y + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 - 10*q - 4. Let j be h(7). Suppose -1559 = -5*r + b, -26*b + j*b = 8. List the prime factors of r.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5513 = 730*p - 3977 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -19 + 1 - 2. Is u at most -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 89*y**3 + 10*y**2 + 13*y + 5. Let b(z) = -44*z**3 - 4*z**2 - 5*z - 2. What is 5*b(u) + 2*h(u)?\nAnswer: -42*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-51)\/(-3672))\/((-3)\/(-6)). Let o(c) be the first derivative of -1\/9*c - b*c**4 - 1\/6*c**2 - 17 - 1\/9*c**3. Factor o(x).\nAnswer: -(x + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48622218.262 - -0.5.\nAnswer: 48622218.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 756.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 13\/4, -5 in increasing order.\nAnswer: -9, -5, 13\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u. Suppose h - 2*h + 27 = u. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 37*w**2 + 3. Let z(s) be the third derivative of -s**6\/360 - 50*s**3\/3 - 3*s**2 - 29*s. Let f(r) be the first derivative of z(r). Give f(k(g)).\nAnswer: -1369*g**4 - 222*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 10*j**2 - j + 252. Let a be k(-12). Let q be a\/(-180)*-5*-2. Suppose 0*m**2 - 2*m - q + 2\/3*m**3 = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-96 + 60 + 103)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1 - (9 + 39). Let z be (3 + 0)*(-465)\/o. Let q = z + -24. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5356211 meters?\nAnswer: 535621.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3405 and -79\/1362.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 0. Suppose -s = -w*s + 5. What is the units digit of 12 + s + (2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596932 divided by 9?\nAnswer: 288548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -17. Calculate the least common multiple of 4 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhhhchchhmjchcn. Give prob of sequence ccjh.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617351 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62585270 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 42 = 72. Solve m*d = 5*a - 30, d + 3*d + 32 = 3*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exogbooobxxeeebooo. What is prob of sequence ebbx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k**5 + 86*k**4 - 12*k**2 - 8102*k.\nAnswer: -200*k**3 + 1032*k**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - t)*(-531 - 1522 + 598).\nAnswer: -1455*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 804493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 316180*s - 9800619.\nAnswer: -(s + 31)*(s + 316149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:05 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 12*u + 18. Let w be o(14). Suppose 3*i + 5*f = 6, 2*f = 5*i - 3*f - 10. Let k = -11 + i. Is k < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319302 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b - 3. Let z be y(-2). Find the common denominator of -131\/6 and (z\/(-33) - 0)*(-178)\/(-24).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/7*(-2)\/((-70)\/49)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -4*f, 4*f + 3 + 0 = -5*w. Solve 0 = f*z - 2*r - 8 + 17, 3*z + r = -18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/(4\/8))\/((-96)\/(-1600)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6619, -6623, -6629, -6637, -6647?\nAnswer: -6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1) - (2052\/19)\/(-18). What is the second smallest value in 2\/17, 2\/31, -48, h?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 79 = -217. Is b\/8*(-10 - 2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 6. Let o be d(7). Let z(c) = 2 - 5 + 15*c + 2. Is z(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 90.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*m**2*p**2 + 22*m**2*p - 180652*p**2 + 36*p + 108 wrt p.\nAnswer: 108*m**2 - 361304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-14) - (-6)\/(-3). Let p = 0.300487 - -0.099513. What is the nearest to 4 in b, p, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814110493 rounded to the nearest one million?\nAnswer: -1814000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.27 times -0.3?\nAnswer: 4.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -91. Let j = 1046 + -1004. Suppose -f*o = -j*o + 38283. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 337*l + 4.\nAnswer: 337*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let a = 13954 + -251045\/18. Find the common denominator of a and (-7355)\/780 + p\/(-26).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -3, -601426, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 52 = p. Let i(c) = -10*c**2 - 7*c + 7. Let k(v) = 11*v**2 + 8*v - 8. Determine p*i(z) + 5*k(z).\nAnswer: -5*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3475514763.3 + 3475514771.8210354966. Let g = l - -400.4789596334. Let s = -409 + g. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20715, 41435, 62155, 82875, 103595?\nAnswer: 124315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8893876?\nAnswer: 2, 2223469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 105*w**2 + 110*w**2 + 99*w**2 - 480*w**2 + 79*w**2 + 113*w**2.\nAnswer: 26*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -137185 at most as big as -137185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.0221535.\nAnswer: 0.177228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 30 - 39 = 0, -5*w + 27 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122342103 to the power of 1\/2, to the nearest integer?\nAnswer: 11061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*t - 2, q = -50*t + 49*t + 6. Put q, -37, -7, -1 in decreasing order.\nAnswer: q, -1, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:26 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -52. Suppose -12 = -a*u + u. Suppose 11*j = u*j + 738. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*o + 446*o**2 - 2*o**4 - 446*o**2)*(-28*o - 25*o + 13*o).\nAnswer: 80*o**5 + 1960*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 + 269010*g**2 - 3618588000*g + 7236100000 = 0 for g.\nAnswer: 2, 26900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 1. Let p be l(-3). Suppose -99 + 39 = -p*r. Let n = r + -7. Calculate the remainder when 15 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/(296114\/(-29286))\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131158 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*h**3 + 417*h**3 - 14 + 14.\nAnswer: -404*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d + 187*d + 2*d**2 + 3423 - 129*d - 2*d**3.\nAnswer: -2*d**3 + 2*d**2 + 3423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = -w - 3*w, -2*a - 2*w - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 203156 - 41116 = 0. Suppose -11990 = 5*h + r. Round h to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/25)\/24*2025\/(-30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 4*w**2 + 0*w**2)*(-2*w - 2*w + 5*w) - w**3 + 2*w**3 + 0*w**3 + (4 - 4 + 2*w)*(-1 + 1 - 3*w)*(-2*w - 2*w + 5*w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 10140?\nAnswer: -10131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 471267 = 151333. What is f rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52223 rounded to two dps?\nAnswer: 4.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d - 2*x = -182, 0 = 4*d - x - 261. Let b = 241 - d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m. Let v(n) be the third derivative of -n**7\/2520 - n**5\/60 - 3*n**2. Let o(b) be the third derivative of v(b). Give o(z(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 1340*i**3 + 13224*i**2 + 10300*i - 1584 = 0. What is i?\nAnswer: -9, -1, 44\/335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -125 - 49. Suppose -5*y - f = -624, -11*f = 3*y - t*f - 370. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72.53 - -73.53. Suppose 0 = t, 4*t = -0*r - 4*r + 4. Suppose 2*j + 2 = -2*y, 2*j - 5*y + 13 = j. What is the nearest to r in x, j, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**3\/3 - 6*q**2 - 7*q + 1. Let p be l(-8). Let g = p - 10. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - 2*x - 4*x - 9)*(-x**2 + 6583*x + 36 - 6585*x + 3*x**2) in the form f*x + w*x**3 + u + t*x**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from {g: 12, e: 7}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/23 in -0.1, -0.231, -2\/11?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-91)\/(-4) + 532\/(-304). Solve -5*n + 5*k - 6*k = l, 2*n = 4*k - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -51*l + 188. Determine c(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 725 + -736. What is the third smallest value in 2\/3, -3, 0.03, j?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/7 (b) -4\/5 (c) -4.404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i = -189*i - 105*i - 2045 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32442 divided by 4.\nAnswer: -16221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**3 - 3*l**3 - 5*l + 7*l**2 + 10*l + l. Let x be b(-6). Suppose x = -2*c - u + 14 - 5, -15 = -5*c - u. Solve -12 = -c*g + 6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -210. Let w = o + 98. Let i be ((-1668)\/(-4))\/(w\/(-5)). What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvrfcccvcfvvfcfc. What is prob of sequence rv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4150 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 7*y + 30*y**2 + 7 + 3*y**2. Suppose -21*t - 55*t = 34*t + 220. Let b(f) = 13*f**2 - 2*f + 2. What is t*a(c) + 7*b(c)?\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 11*u + 2*u. Let s be (-2*(-1)\/u)\/((-8)\/(-64)). Solve -s*c - 9 = -h, -6*h - 1 = 3*c - h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -779, -778, -769, -740, -679?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2)*(-14)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z + 79. What is p(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**19)\/(l*l*l**(-7)*l))**(-1\/48))**(-15) assuming l is positive.\nAnswer: l**(125\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/29309947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 11*v - 252. Calculate the highest common factor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose 4*i + 4 = v*x, -4*x + 5*i - 27 = 4*i. Let w = 15 + x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f + 3. Let w be ((-12)\/(-10))\/((-6)\/(-20)). Suppose w = -j + 1. Let g be c(j). Solve 0 = -4*p + p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 444 - 444 - j**2. Let v(r) = -8*r**2. Determine v(x(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 857129 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 5*z**2 + z**2)*(0*z + z**2 + 0*z + (-4*z + 3*z + 2*z)*(-z - 2*z + z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.97 - -9.93. Let i = 56 - y. Which is the closest to i? (a) -2\/7 (b) 4\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -175*j**2 + 3*j. Let c(t) = -58*t**2 + t. Let z(o) = 8*c(o) - 3*l(o). Let h be z(-1). Suppose 0 = -2*m + h - 26. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 4 = 24*f. Let z(a) = 18*a**2 - a + 7. What are the prime factors of z(f)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*t - 32, 5*p - 27*t + 28*t + 33 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 25647\/1253?\nAnswer: 25647\/1253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13040 - 2099423\/161. Let y = u - 9\/23. Which is the closest to 0.1? (a) y (b) 2\/3 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2469 in 1, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - 6*j**3 + 2*j**3 + (-j - 5*j + 4*j)*(-2*j**2 - 2*j + 2*j) + 2*j + 5*j**2 - 2*j + 3*j**3 - j.\nAnswer: 8*j**3 + 5*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5837 + -5291. What is the smallest common multiple of w and 468?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121954 divided by 4\nAnswer: 60977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 28274*a - 21. Let d be h(8). Suppose -4*n + 301604 = 4*i, 4*n - d = n + 5*i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1689 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p*p\/((p\/(p*p**(1\/14)))\/p))\/p)\/(p\/((p**10*p)\/p))*(p*p\/p**(2\/21))\/p*p*p\/(p\/(p*p**(-2\/11)*p)) assuming p is positive.\nAnswer: p**(7759\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 685356 a multiple of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - sqrt(117)*-5)**2.\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9612, -19228, -28844?\nAnswer: -38460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) 0 (b) -2\/13 (c) 0.08 (d) 236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 1, f: 3, g: 1, m: 1, a: 2}. Give prob of sequence jxga.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 210771698 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.07, 2\/17, 2\/21?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:56 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 993079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/24 + 7*v**3\/6 + 9*v**2. Let c be z(8). Calculate the remainder when 105 is divided by (9\/15)\/(c\/(-30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -4*x - 5*v, 0 = -0*x - 2*x - 3*v - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594082 and 4848?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/142080 and -109\/13876480.\nAnswer: 41629440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 2:42 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 821306 at most as big as 822059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgrc when four letters picked without replacement from zzgcczzrzzkqqkzg?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**4 - 13*x**3 - 3*x**2 + 7*x - 2. Let t(p) = -105*p**4 + 170*p**3 + 40*p**2 - 90*p + 25. Let a(l) = -3*t(l) - 40*z(l). Factor a(n).\nAnswer: -5*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*d**2 - 5 - 827*d**2 + 2078*d**2 - 825*d**2.\nAnswer: -9*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868 and 69549368?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21b20297 - -5?\nAnswer: -21b20292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**3 - 76 + 73 + 3*p**3.\nAnswer: -8*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465 - 2*d**2 + 1248 - 62 + 2747.\nAnswer: -2*d**2 + 3468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -295175*w**3 + 295174*w**3 - 9*w - 2 + w**2 + 2*w**4 - 2*w**2 - w**2 in the form q*w**3 + s + a*w**4 + o*w**2 + k*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31818902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/61 (b) 6 (c) -1\/3 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2036778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -8. Let h = -71.1 - -71. Which is the third smallest value? (a) k (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15170227519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76294148 divided by 1036.\nAnswer: -73643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.029 - 48.029. Let l = -48.4 - m. Let n = 8 + -6.8. Which is the second smallest value? (a) l (b) n (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-20)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s**2 - 3*s. Let x(o) = -2*o**3 + 3*o**2 + 4*o - 1. Give 3*r(a) + 2*x(a).\nAnswer: -a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + x**4 - 3 + 1 - x - 3*x to c*x**4 + w*x + r*x**3 + g*x**2 + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -378 and 18.3?\nAnswer: 396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220546408, 882185625, 1984917654, 3528742495?\nAnswer: 5513660148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 25*f - 32. Let p(a) = -12*a - 22. Let d be p(-3). What is the tens digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - 427\/(-56) - 30\/(-80). What is the nearest to -2 in f, 0.5, -4, -0.66?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 13*w + 53. Does 5 divide x(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w - 39*w - 6095 = 142*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:57 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(57)\/sqrt(3))*1)**2 - 2*sqrt(38)\/sqrt(2))*-3 - (-1*(-2 + sqrt(19) + sqrt(19)) + sqrt(76)\/sqrt(4)*-2).\nAnswer: -2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - o = -48, -5*o + 0*o - 12 = -3*j. Solve -5*y + 4 - j = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115*-14.64\nAnswer: -1683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.929015 - 1.488254. Let v = 0.559 + t. What is v rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 922*j**3 - 6*j**2 - 20*j + 143. Let q(r) = -1844*r**3 + 14*r**2 + 46*r - 285. Let l(h) = -3*q(h) - 7*x(h). Find the second derivative of l(m) wrt m.\nAnswer: -5532*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3445 + 8*t - 3445.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:18 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 536648, 1073321, 1609994, 2146667, 2683340, 3220013?\n\"Answer: 536673*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -76\/5959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4544.201 millimeters to centimeters.\nAnswer: 454.4201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17880 and 1380.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1140, -2125, -7558, -15153, -24904, -36805, -50850?\nAnswer: -67033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 + y**2 - 82*y + 357*y - 185*y = 0.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -2\/4607 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 17*t + 11. Let v = -26 - -16. What are the prime factors of c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 14\/3 (c) -1617\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 4. Suppose 5*q - 106 = -n, 0 = -2*n - 4 + 6. Suppose -13 = -3*g - 2*k, g + 4*k = -10 + q. What is w(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-2 + 3 + -46 + 39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4063 + 232?\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 9 = -37*b. Let t(j) = 13*j - 3*j + j - b*j. Let h(a) = -163*a**2. Determine t(h(p)).\nAnswer: -326*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1431 and 2544.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - (-2)\/4. Suppose -s - 2 = -12. Suppose 4*k + k = s. Which is the nearest to 0? (a) -3 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmrmmoommmmmrmmnrr. What is prob of sequence nmmn?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-12)*2)\/((-1898)\/117 + 16). Let w(d) be the third derivative of -7\/2*d**r - 33*d**2 - 3\/10*d**5 + 0 + 0*d + 0*d**4. Differentiate w(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5517916 - -13897?\nAnswer: -5504019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2888230724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 214\/119443 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13346771?\nAnswer: 31, 41, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(10)\/sqrt(8) - sqrt(55)\/(sqrt(88)\/sqrt(2)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1739 and 1256446.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120949 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r**(3\/5))\/(r**(-3)\/r*r)**(-40) assuming r is positive.\nAnswer: r**(-628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/7)\/(14\/98)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -2\/267 (b) 0.2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -178*r - 529. What is b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - (1 - (-296)\/(-12)). Suppose 4 = -2*w + 2*j - 24, 2*w + 25 = 5*j. Let o = w + f. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/810 and 161\/31320.\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*o - 4*x, -3*x + 4*x = 0. Let p = o + -62. What is the lowest common multiple of (-24)\/10*(-30)\/4 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -7*c**4\/4 - 7*c**3\/3 - 4*c + 151. Let d(h) = h**3 + h**2 + 1. Calculate -6*d(w) - v(w).\nAnswer: w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8038 is divided by 238.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c (base 16) in base 6?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61676 divided by -1\nAnswer: -61676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9 + 7. Suppose 2*m = 4*m + 108. Let n be m*2*4\/(-16). Solve 3*f + n = -4*z, 0 = -0*z + z + i*f + 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4*v**3 + 0)*(-4 - 7 + 4)*(5 - 2*v - 5) to x*v**4 + c*v**2 + r*v**3 + y*v + o and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 32 = 4*a. Let z be ((1 - -3) + a)*0. Suppose z = 7*s + s - 584. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.02654 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129839.023 + -129713. Let f = t - 0.023. Let p = 126.00061 - f. Round p to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28416741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2959442.\nAnswer: 2, 1479721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.269272 and 0.2.\nAnswer: -0.0538544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u**2 - u - 1. Give y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 1}. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -53, 5, -66 in increasing order.\nAnswer: -66, -53, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 - (2 + -15 + (7 - 1)) - (1 + -3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 3. Let k be 13\/26*(1 - w). Is k at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s + 25*s**4 - 4*s**4 + 4*s + 8*s wrt s.\nAnswer: 252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -1.7?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 90*f + 192. What is the lowest common multiple of 507 and h(-44)?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -28*m**2 + 3*m. Let d(v) be the first derivative of -14*v**3\/3 + v**2 - 10. Let w(t) = 5*d(t) - 3*h(t). What is w(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 47*o + 84. Let q(x) = 10*x - 2. Let k(w) = -9*w + 1. What is o*k(h) + 5*q(h)?\nAnswer: -4*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1340*g**2*v**2 + 3*g*v + 16*g - 4*v**2 wrt g.\nAnswer: -2680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000783938 rounded to six decimal places?\nAnswer: -0.000784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*j = -12, 5*d - 8*j - 15 = -3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*o + 14, -32 = -6*p + 2*p + 4*o. Suppose 17*q - p = 99. Solve 0 = -y - x - 2, -q*y - 5*x = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**3 - 3*w - 7. Let s(v) = 51*v**3 + 17*v + 34. Let g(p) = 2*s(p) + 11*u(p). Differentiate g(m) wrt m.\nAnswer: -24*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 1967 = 1965, 4*d + 1 = 5*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y = -2959443 + 1897568 - 2391989. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.302 + -0.302. Put a, -2\/15, -2\/21, -3\/5 in descending order.\nAnswer: a, -2\/21, -2\/15, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 19*q**2 + q - 1. Let c be j(1). Let v = 257 + -86. Calculate the greatest common factor of c and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) -2 (d) -5 (e) 264 (f) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(4631\/66 + 1\/3). Let k = s + 2389. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.18 - 0.18. Let f = 63.9 + -63. What is the third biggest value in d, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548\/(-411)*((-106)\/76 + 29 + -28).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205163097?\nAnswer: 3, 239, 277, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -5*(sqrt(143)*1 - sqrt(143) - sqrt(143)))\/sqrt(11).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o + 3. Let t be u(-2). Let z be t + -1 + (-7 - -9). Solve 8 + 0 = z*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*s = -14, 0 = 3*t - 2*s - 4 - 0. Let g = t + -1. Let f(m) = -m**2. Let y(d) = 8*d**2. Give g*y(x) - 20*f(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1053600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -157.128531 and 4?\nAnswer: -628.514124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 2. Let z be c(-1). Solve -2*d + 7*d + z*t + 5 = 0, 4*t = -20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) -0.5 (c) 0.6 (d) 0.2 (e) -0.1335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.013 + -6.827. Let x = i + 7. Let j = 1.84 + x. Which is the third biggest value? (a) j (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 1. Let f be (-2)\/(-5) - (-65)\/25. Let s be i(f). What is the biggest value in s, 1\/3, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 5, k: 4}. What is prob of picking 3 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - m + 4. Let w(r) = r**2 + 2. Let o be (-14)\/(-6) + 18\/(-54). Let b = -56 + 51. Give b*w(p) + o*z(p).\nAnswer: -p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)\/u*u)\/(u*u*((u\/u**2)\/u*u)\/u*u*u))**(1\/12)\/(u**(-34)*u**(-4\/5)) assuming u is positive.\nAnswer: u**(1039\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 13*o**2 + 14*o + 30. Let b be t(12). Let c(x) = -x**2 - 9*x + 13. Let i be c(-10). Calculate the greatest common factor of b and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/113700 and 82\/1051725.\nAnswer: 4206900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 534*a**2 - 5476*a + 614. Calculate b(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52122 and 168.\nAnswer: 208488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -5*x + d*v = 2*v - 12, -8 = -3*x - 2*v. Suppose -5 - 11 = 4*q. Sort 4, x, q in descending order.\nAnswer: 4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -63*c**3 + 2*c**2 - c + 1. Let m be b(-2). Suppose 2*k - 326 = 3*a, -2*k + a - 189 + m = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - (-4 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.1 + -3.1. Is p smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24463 greater than or equal to -24462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0692 * 4443.\nAnswer: -307.4556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/2607?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1134)\/42 - -25)*49\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 9*p - 35. Let s be 6 - (-1)\/((-2)\/4). Let a(u) = -4*u + u - s - 3. What is a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -49\/2. Put -8, b, 4 in decreasing order.\nAnswer: 4, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -63*x + 15363. Determine d(244).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.99 + -10. Let v = m - -4.01. What is the nearest to -0.1 in v, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -3\/7, -51, -3\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/(6\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14400 = r. Round r to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7)*z*z)\/(z*z**(-7)*z*z))**(9\/5) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 18 = 51*x. Let l(v) = -6*v**2 - 37*v - 9*v**2 + x*v + 21*v. Let n(g) = -7*g**2 + g. Let q be (6\/8)\/((-1)\/8). What is q*l(a) + 13*n(a)?\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 212. Suppose -5*a + 10 = -2*f, -5*f + 10 = -2*a + d*a. Let 3\/4*t**a - 3\/2 - 3\/4*t = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 136, 201, 278, 373, 492, 641, 826?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - 1452?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + r**4 + 6*r**3 - 9*r**3 - r + r**3 + 3*r**3 in the form a*r**3 + i*r**2 + d*r + j + z*r**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*n + 11, -5*m + 1 = -10*m - 2*n. Let z(j) = -28*j**2 - j. Let b be z(m). Let i = b + 32. Calculate the remainder when 19 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -44*w - 124. Let y be m(-5). Calculate the greatest common factor of y and 1088.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j - 8*j - j to the form d + h*j and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*f + v, 6*f - f - 65 = 5*v. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192903 + 192905. Let y be (-3)\/(-2 + (0 - -1)). Suppose -4*m + y*l - 1 = -4, 4*m + 3*l = -3. Which is the closest to t? (a) 11 (b) 1\/12 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510 divided by -5?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 18 - 5 = 173*s - 174*s, 7*s + 91 = -j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, 19\/3, -2\/9, 25, -26?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(1700) + 4 - (sqrt(1700) + sqrt(1700)*-3 - sqrt(1700)))**2 - (-6*(sqrt(153)*2 - sqrt(153)))\/(-1*(sqrt(9) - sqrt(81))).\nAnswer: 331*sqrt(17) + 28593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32182.1us in seconds?\nAnswer: 0.0321821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -64*y + 547. Let x be f(8). Solve 14*q = 7*q + x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9247380*p**3*t**3 + 431*p**3*t + 2*p*t**6 - 233*p*t**2 + 3*p*t wrt t.\nAnswer: 55484280*p**3 + 240*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113720601 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49183\/183996 + -14\/66443. Calculate the common denominator of c and -41\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 + 219 + 0. Suppose 2*i = 217 + m. Is (i + -1 - -3)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -p - 5*p. What is the remainder when 106 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 997552*x**4 - 791513 with respect to x.\nAnswer: 3990208*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 3587440?\nAnswer: -3587441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131 + 32213?\nAnswer: 31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 0.2, 1\/19, -182, -1 in ascending order.\nAnswer: -182, -3, -1, 1\/19, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:23 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g = -603 + 135 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c9208 + 3?\nAnswer: 5c920b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62629 and 4991.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2237, -0.1, -0.48?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h**5 + 2*h)*(-8 - 4 + 0) - h**4 + 3*h**5 + h**4 + (-2*h + 2 - 2)*(-2*h**4 + 0*h**2 + 0*h**2).\nAnswer: 43*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10. Let s be 4 + o\/2 - 4. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33225\/7 - -4746. Let n = -11 - -15. Which is the nearest to 8\/17? (a) -0.5 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 - -195. Put -3\/2, -1, -1\/5, y in descending order.\nAnswer: y, -1\/5, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6*i + 75, 4*i + 5*m - 106 = -59. Solve 30*w = i*w - 153 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 9:32 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 169065.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 0, -4*t = -7*u + 2*u + 368. Let l = 79 - t. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -15. Suppose 0 = -4*i + 5*p - 13, -g*i + 6*p - p = 15. What is the least common multiple of 2 and ((-1)\/i)\/(8\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l - 3. Let c be q(5). Suppose 25 = -5*j - 0*j, -3*j - 19 = -2*u. Suppose -c*m = -u*m - 130. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k**3 + 11*k**3 - 21*k**3. Let t(i) = -i**3. Determine -2*t(u) + v(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 10*l - 7. Let f be v(-7). Suppose -f = 3*k - 44. Suppose 25 = 3*a + k. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + -82098723.\nAnswer: -82098713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbjbssbbj. Give prob of sequence js.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3 + 118. Let m(l) = 444*l**2. Give k(m(x)).\nAnswer: 591408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30*-18*(-4)\/(-12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2176, -2136, -2096?\n\"Answer: 40*w - 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807 is divided by 903.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -89*25.988\nAnswer: -2312.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3*6\/(-8). Suppose -3*t = -2*n + 1, -5*n + 0*t = 2*t - 12. What is the closest to -1 in z, 5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -17 + (37 - (22 + -28 + 8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**4 + 2*a**3*i**3 + a*i**3 + 26*a*i**2 wrt a?\nAnswer: 60*a**2 + 12*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*k - 109*k + 214*k.\nAnswer: -49*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 12 = 0, 18*j - 13*j - 3*s = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -17*z - 1. Let t be k(1). Let h be (-21 - t)\/((-6)\/(-20)). Let a = 22 + h. Solve 5*u = u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/826 and -1\/1479897.\nAnswer: 20718558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + z - 2)*(-2*z + 2*z - z) + 2*z**2 - 3 + 3 + z - z - 3*z**2 - 2246*z**2 - 30209*z + 30209*z to u*z**2 + w + g*z and give u.\nAnswer: -2248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/6 + 10*u**3\/3 - 16*u**2 - 50*u - 2. Solve d(t) = 0 for t.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-50042)\/6)\/(-4*(-31)\/(-372))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 1, a: 3, p: 2, j: 3, e: 7}. What is prob of sequence nlaa?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3 - (-485)\/(-60) and (-84668)\/(-11104)*((-1)\/(-5) + 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 1. Let a be r(-3). Suppose -u - 3 = -a. What is the units digit of 10*(-1)\/(-2) + u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 4*n**2 - 3*n - 12. Let m be g(-4). Suppose m = -3*b + 15*b - 660. Is b less than or equal to 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -13?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 722677*w**4 + 296619.\nAnswer: 2890708*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 8*m - 11. Let c be g(-9). Let a = 70 - 66. Is (c\/(-4))\/(a\/112) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n - 3*n. Suppose -5*c + n*d = 40, c - 2*d + 25 = -2*c. Let v(g) = g**2 + 5*g - 1. Determine v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66840\/89248 + 3\/(-4). Let i = y + 164575\/22312. Calculate the common denominator of i and 93\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00217991 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 11127689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 22 + q + 23 - 45. Let v(d) = -3*d + 4*d + 0*d. Give v(j(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/6)*d)\/d**(-15))**(2\/97) assuming d is positive.\nAnswer: d**(101\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = z - 3*x, -4 = 3*z + x - 18. Let w be ((-64)\/(-12) - 5)*9. Suppose -w*b + 33 = 3*i, -2*b + 22 - z = 3*i. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**5 - 20*b**3 - 6*b**2 - b + 6604 wrt b?\nAnswer: 100*b**3 - 120*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 11)*(-24 + 16 - v + 14 - 2*v**3).\nAnswer: -16*v**3 - 8*v + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187861269 to the power of 1\/2, to the nearest integer?\nAnswer: 34465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-30))\/((-133)\/(-252)*6)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-48))\/7*10\/1650*-22?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354779*m - 94395*m + 75145*m.\nAnswer: 335529*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (6 + -58)\/4. Let j(x) = 8*x + 121. Let u be j(q). Let i(z) = 11 - 1 + z + 0*z. What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 66*o - 2835. What is the remainder when 112 is divided by d(43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-2)\/(-16)). Let s be (-2)\/1 - (1 + -7). Let y(n) = -n**2 + 11*n - 22. Let c be y(7). Sort v, s, c.\nAnswer: v, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9437?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1539*j - 166195. What is p(108)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 384 + 43178 = 0. Is x a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 12. Suppose 2*o = 4 + 4. Let r be m(o). Let v(f) = f**2 + 2*f + 2. Let d be v(r). Calculate the greatest common factor of d and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o = -105 + 142 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (sqrt(176) - (sqrt(176)*-1 + 2))**2 + (sqrt(176) - 1*(0 + sqrt(176))**2) + 1.\nAnswer: -28*sqrt(11) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 - 4*v - 3. Suppose 20*k - t = 17*k - 16, t = k + 8. Calculate w(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8322 or 8321?\nAnswer: 8321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741822 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(23\/2)*((t*t**(-2\/19))\/t)**26 assuming t is positive.\nAnswer: t**(-1415\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.6 and -326\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 52107678561 and 6.\nAnswer: 52107678567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*k + 462, -5*l = -k - 444 - 326. Solve -6*p + 184 = l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1896*d + 11. Let u(t) = 1907*t + 13. What is 6*f(g) - 5*u(g)?\nAnswer: 1841*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - -4. Suppose 5*d - 4*a = 14, 2*d - 5*d + 34 = 4*a. Suppose -d*p + h = -5*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -3*z, 3*i - 12 = 2*i - 2*z. Let j = 1 + i. Let u = 11789 - 94315\/8. Which is the third biggest value? (a) u (b) 0.1 (c) j (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153755847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-72)*(27\/(-6))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4, -3*o - 5*z - 5 = 2*o. Let a(j) = -5*j - 1. Give a(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 221 - 145. What is the remainder when 202 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858 greater than or equal to 23578\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 602772752*a*n**2*s + 4*a*n*s + a - 3*n*s - 24640*n - 3*s wrt n?\nAnswer: 1205545504*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - -11 - 4*1\/2. Does 12 divide -1*(-2 - -3)*-23 + k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 16, 0 in increasing order.\nAnswer: 0, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15. Suppose 16 = -u*n + 5*n - 2*o, -4*n + 17 = -3*o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 654893.\nAnswer: -6548.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2696\/25953 + 4\/633. Let i = 94\/123 + u. Is i less than -4\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 278*f**2 + 191*f. Let s(j) = -7*j**2 + j. Let m(t) = -d(t) + 3*s(t). What is the second derivative of m(g) wrt g?\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1610460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - 35. Let g = -59 - z. Sort g, -3\/8, -1\/4, 2 in descending order.\nAnswer: 2, -1\/4, -3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -166 (b) -1\/4 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*x + 10 = 0, -4*l - 4*x + 2*x - 10 = 0. Suppose -3*b + 8*b - 10 = l. Suppose -2*z - 2*c + 24 = 0, 3*z - b*c - 4 = 37. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and -1.6.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 556, 2\/31, 61?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - -32. Let c = -36676.897 + 36584. Let b = c + j. What is b rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1000847 and 1?\nAnswer: 1000847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m + 13. Let g be l(0). Suppose -j + g = -12. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253\/14 - -94\/7. Let q be (3\/(-14))\/(108\/(-3067302)). Let z = q + -6098. What is the common denominator of z and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 30*z**2 - 29*z + 66. Let c be q(-31). Suppose -4*p - 4 = -4*g + 12, -5*p + 3*g - 10 = 0. Solve -p = 5*o + c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -468*n - 473*n + 942*n - 6*n**3 + 4 + 2*n**4 + 0*n**3 to x*n**4 + v*n**3 + u*n + a*n**2 + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11159\/6 + 1849. Calculate the common denominator of s and -89\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -103, -179, -253, -325, -395?\n\"Answer: u**2 - 79*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196077*m**2 - 4*m**3 - 98080*m**2 + m**3 - 97997*m**2 + 0*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02812 and -0.08?\nAnswer: -0.0022496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3 + 4*h**2 + 2*h**3 + 3*h - 6*h**2 - 2*h**3 - h**3. Let y be m(-3). Is 37\/(-2 - (-6 + y)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 23*x + 6 - 1 to p*x + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 124741.4 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (319 - 318) + (-17 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 35, 76, 137, 224, 343, 500?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 11*n - 11*n + 664155.\nAnswer: -2*n**2 + 664155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 8*a + 2. Let b be h(4). Suppose -18*z = -4*z - 490. Sort z, 4, b in increasing order.\nAnswer: b, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9672314 divided by 1.\nAnswer: -9672314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxwwxxkxxwwxwx. What is prob of picking 3 k and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 781613*a**2*x**3 - 81*a**2 - 6*a*x**3 + 1314*a*x - 2*x + 2 wrt x.\nAnswer: 4689678*a**2*x - 36*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (82488\/810)\/14 - (-24)\/(-20). Which is smaller: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 100\/384451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 37202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 398\/6 - (-2)\/3. Let a be (-4)\/14 - 111\/(-21). Suppose -a*j = -2*n - b, 22 = 5*n + 2. Solve 15 = -5*p + 5*x, -j = -2*p - p - 5*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.39282 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 5*m - m + (-1 - 1 + 1)*(3 - 2*m - 3) + m - 1 + 1 + (2 - 2*m - 2)*(0 - 1 + 2) + m + m + m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 4*s**3 - s**2 + 2*s**3.\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2520 divided by 21.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/232148 and 35\/598.\nAnswer: 69412252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 16. Calculate u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1289952 divided by -6\nAnswer: -214992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*l - 14. Factor l*f**2 - 44*f**2 - 36*f**2 - 2*f.\nAnswer: -2*f*(35*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -510762?\nAnswer: -19\/170254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98\/3 - 33. Suppose -3*s + 42 = z, 3*z - 62 = -5*s + 4*z. Suppose -s*t + 24 = -17*t. Are r and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1172 or -8196\/7?\nAnswer: -8196\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r. Let d(t) = -4025*t. What is d(n(i))?\nAnswer: 12075*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 3. Let o be 26\/6 - 1\/3. Suppose 0 = -q + r + 4*r, -2*r = -o*q. Let i(z) = -2 + q*z + 2*z - z. Give 5*i(y) - 3*x(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, w: 2, m: 2}. What is prob of sequence mwwe?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + 10 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*s - 18. What is the units digit of (-2 - s\/3) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2 - 35696*y - 356452. What is z(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)*-5 - 60\/12. Which is the nearest to -3\/2? (a) 1 (b) 2\/9 (c) -1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5 - 6272*t**4 - 482064*t**3 + 4750792*t**2 - 8229620*t - 13456200 = 0.\nAnswer: -82, -1, 5, 1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1 - 9. Let x = a - -1.9. Let p = -2 + x. Is -2\/17 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2811*b**2 - 2752*b**2 + 5500*b**2.\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*50 + 1. Let f = 17 - d. Let a be ((2 - 1) + f)*-1. What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 - -127. Solve -b*q + 0*t - 22 = -2*t, 4*q - 3*t = -19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010.8 rounded to the nearest ten?\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -17*y**3\/6 + y**2 + y + 458. Let v(m) = -425*m + 51. Give 51*a(n) - 2*v(n).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 1, f: 1, o: 4, d: 2, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 4. Let v be t(6). Suppose -14 = -4*l + v. Suppose 0 = -2*j + 6. Solve -j*h - l - 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Let k be x(7). Let d be -2 + 1 + (-10)\/k. Suppose 2*h = -2*u - 4, 4*h - u - 2*u = 13. Is h at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 3 (c) -3 (d) 397 (e) -5 (f) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311830 + -1.\nAnswer: 311829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1162 - -1162.547. Let w = 0.47 - n. Round w to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(33)\/sqrt(3)) - (1 + (2*sqrt(3))**2)) + (-4*sqrt(9)\/sqrt(3))**2 + 5.\nAnswer: sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7848868.\nAnswer: 2, 1051, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 13)\/(2\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*h**2*l**3 + 28*h**2*l**2 + 3*h*l - 4*l**3 + 18*l wrt h?\nAnswer: 194*l**3 + 56*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 18*a. Let k(c) = -4*c**2 - 4*c - 14213. Determine k(d(h)).\nAnswer: -1296*h**2 - 72*h - 14213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**3 + 18*w**3 + 14*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 60 + 113 - 55)*(-3*k**3 + k - k).\nAnswer: -9*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -148*v**2. Let m(x) = 921*x**2. Determine m(z(s)).\nAnswer: 20173584*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35847 is divided by 4480.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 - 168. Let x = -81 + j. Let s(i) = 187*i**x - 91*i**2 - 94*i**2. Let o(v) = -39*v. Give o(s(u)).\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 17.8, -0.2, -54.672 in increasing order.\nAnswer: -54.672, -0.2, 2\/7, 17.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.1*79.\nAnswer: 876.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:39 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7460 = z, 3416*m = 5*z + 3415*m - 37204. Are 7442 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -31. Let d = -11 - x. Solve 2*p + d*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/31889 and 89\/14.\nAnswer: 446446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 69, -0.3, -19, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 453*l + 682*l - 20 + 326*l - 209*l + 21 as s*l + o and give s.\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1093 - -2179\/7651. Factor -18\/7 - u*w**4 - 44\/7*w**2 - 16\/7*w**3 - 48\/7*w.\nAnswer: -2*(w + 1)**2*(w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25205*f**4 - 46150*f**3 - 8340*f**2 - 360*f.\nAnswer: 5*f*(f - 2)*(71*f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 1.11, 2, -2\/13.\nAnswer: -3, -0.4, -2\/13, 1.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/2*1449\/(-18). Suppose -4*b + b = -i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21*c**2 + 16*c + 19. Let h be p(-10). Suppose 7*b - h = -496. What are the prime factors of b?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*v - 3*v. Let b be -1 - (-11 - (-4)\/(1 + v)). Solve 2*r = -3*d - b, -1 = -r - 0*r + 5*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-327 - -333 - (6 - -1)) + -11 + -78.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -1 (c) -118 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/348 and -125\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00433 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/30*(-15)\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/40)\/(-1))\/((-1)\/(6\/1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 7*y + 29 + 9*y)*(-4*y + 4*y - y)*(-3 + 4 - 3).\nAnswer: 4*y**2 + 170*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652158 is divided by 69?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -1. What is the remainder when w is divided by 225\/21 - 4\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 18 - -6 - 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 2*b - 2*b + 11*b + 8*b**2 as j*b**2 + m*b + q and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r - 8*r - 13*r**2 - 184*r**3 - 3 + 188*r**3 as q*r**2 + z*r**3 + w*r + o and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 8 = 3*m, 0 = 5*m + 4*i - 9*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23\/69)\/((-38)\/84). Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {n: 1, x: 1, k: 1, l: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2100 and 3123084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -49*r**2 + 27*r + 75. Determine a(-3).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4818863483?\nAnswer: 7, 688409069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + -10 + 15 + 18 + -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38456940 is divided by 289.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q - 27. What is b(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.2363+-0.796\nAnswer: 0.4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19 + 8 - 5*o + 5. Let a be j(6). What is the units digit of (a - -105) + -1 + -5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*d - 50*d + 575 + 928 - 333 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0 - -2) + 1. Suppose -3*j - j = -12, 2*d - 20 = l*j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.47825 to one decimal place.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13731 at least -13739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + x - 52 = 0, -8*s + 5*s - x = -40. Solve 0 = 8*b - s*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -768248 and -0.23.\nAnswer: 176697.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 108*k + 1079. Let b be d(11). Solve 3*l = -0*l - 4*r + 14, 0 = -2*l - 4*r + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, i: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 37136, -3, -2, 0 in increasing order.\nAnswer: -28, -3, -2, 0, 37136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooboooboo. Give prob of picking 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -6. Let s = -37 - c. Solve 20 - 10 - 5 - s*h**2 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191558 by -2.\nAnswer: -95779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -324511*j + 11682399. Give r(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 54 = 28*v. Suppose v*u - 2206 = -z, -5*z - 1081 = -3*u + 2*u. What are the prime factors of u?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/19 + 6832424*c**3\/19 - 5835279544104*c**2\/19 + 46681908396992*c\/19 - 93363598156928\/19 = 0. What is c?\nAnswer: 4, 1708102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {m: 16, n: 4}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7848 - 7790. What is the nearest to n in 3, 1, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28913049 is divided by 222?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let w(m) = -12*m - 1. Let y(q) = -w(q) + x(q). Suppose 2*g - 3*b = -2*g - 10, 2 = b. Give y(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**2*r**2 + 2*l*r**3 + 4*r**3 - 40*r wrt l.\nAnswer: -6*l*r**2 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1881*b + 1895*b - 112 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -129\/8, -7\/4, 1, -7?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14129 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1659 - -8)\/(-13))\/(2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 + 7*s - 1. Let t be k(-6). Let i be 40*-6*4\/(-60). Let p = i + t. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 6)*1 + -2. Let m(h) be the third derivative of h**5\/30 + 5*h**4\/24 - h**2. Let b(s) = -s**2 - 2*s. Give z*b(y) - 2*m(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283 - -403. Let r be (1\/2)\/(2\/m). Suppose -3*z - 5*u = -r, 0*z + 5*u + 40 = 4*z. Solve 5 = w + z, 25 = -5*y - 3*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50796509 is divided by 736?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.045729 to 3 decimal places.\nAnswer: 1.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b92 (base 13) to base 16.\nAnswer: -7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by (520\/12 - 3) + (-14)\/(-21)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o - 7. Let l be -1*6\/(-3 - -4). Let q be h(l). Solve 4 = 3*b - q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, -0.033, 0.01?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1003 - 907. Which is the closest to 0? (a) t (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*x - 30 = 0, -82 + 91 = -f - 2*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28710 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 7*m - 2. Let x(f) = -f**2 - 8*f - 6. Let v be x(-6). Let g be b(v). Let z = g + 145. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40801365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 400560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-54)*(-4)\/4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2053 in 4, -0.6, -1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-494))\/(2\/(-4))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = 63. Let h = d + 54. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((314*c + 119*c - 58*c)*(3 + 2 - 3) + (-5 + 2 + 1)*(-c + c - 2*c))*(-3 + 3*c**2 + 3) to h*c + v + u*c**2 + y*c**3 and give y.\nAnswer: 2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*a = 316, -3*o = -0*o - 5*a + 470. Let i = -148 - o. Solve 3 = -i*w - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 12*h**2 + 11*h + 13. Let p be z(13). Let t(j) = -j**2 - 12*j + 17. Let w be t(p). Solve 5*v = f + 5, w*v + 5*f - 28 = f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.2 + 3.2. Let f = 15 + n. Let u = f + 9. Which is the second smallest value? (a) 1 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = 5. Let x(a) = -2*a**2 - 8*a - 8. Let i be x(p). Sort i, 8, -3 in descending order.\nAnswer: 8, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*p + 45, s = -0*s + p. Suppose -3*z + 6 = -s*z. Let n = z + 5. What is the nearest to n in -3\/5, 2\/13, -1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3824\/19 + 761185\/3781. What is the common denominator of -1\/6 and w?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97025 is divided by 2368.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5111, 0.5, 2 in descending order.\nAnswer: 2, 0.5, -5111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8751575 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 41*p**2 - 22*p + 51. What are the prime factors of d(5)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*n - 158*n - 90. Let j = -8 - -30. Calculate the smallest common multiple of j and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871977963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, 1\/2, -0.12 in increasing order.\nAnswer: -0.12, 1\/2, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-262)\/(-8) - (14\/(-8))\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14736147.\nAnswer: 3, 29, 107, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 667 + 317 + 5*y + 313 in the form f + h*y**2 + x*y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-335)\/(-1340))\/((-18)\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/18 + (-31372)\/(-279). Calculate the highest common factor of 70 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31, 30, 21, -2, -45, -114, -215, -354?\n\"Answer: -g**3 + 2*g**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684)*2)**2) + 2.\nAnswer: -2734 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 158?\nAnswer: 14852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201*l**3 - 233 wrt l?\nAnswer: -603*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 - 0)) + (9 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*l**3 - 1805*l**2 + 16380*l - 1620.\nAnswer: 5*(l - 18)**2*(10*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 3*y - 16. Let c(r) = -6*r**2 + 5*r - 31. Calculate -3*c(b) + 5*z(b).\nAnswer: 3*b**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -61796 + -0.13424\nAnswer: -61796.13424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f**5 - 4*f**2 + 17*f - 4. Let c(y) = -17*y**5 - 7*y**2 + 34*y - 7. Let q(k) = -4*c(k) + 7*h(k). What is the second derivative of q(s) wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seaalwm. What is prob of picking 1 l and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0*f + f - 2*f) - 559 + 559 + 77*f.\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1799 - -2631. Suppose -826*k + p*k - 54 = 0. What is the greatest common divisor of 2 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 (base 10) in base 12?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.2, -1\/6, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1077, -1, 34483 in decreasing order.\nAnswer: 34483, 1077, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14*(-7 - 525\/(-85)). Suppose 0*s + 2\/17*s**4 + 2\/17 + 0*s**3 - m*s**2 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 78.90264 weeks?\nAnswer: 552.31848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - -9 - 17 - -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994638 to the power of 1\/2, to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141786265?\nAnswer: 5, 19, 43, 61, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346 - -1385\/4. Let f = -0.08 + -0.18. Let p = f - 0.04. Which is the second biggest value? (a) -2\/5 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 726 - 726. Solve 4*t = -2*y - y + 23, m = -5*y + 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2 - 780*a + 5558 = 0. What is a?\nAnswer: -397, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 11*c - 11. Let j be n(-12). Let k(y) = -17*y - 4. Let z(w) = -50*w - 11. Let v(b) = 11*k(b) - 4*z(b). What is the units digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.2 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-58))\/(-5))\/(513\/(-342))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 6*s**4 + 4*s**4)*(746 - 250 - 357).\nAnswer: -139*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 167\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1775 + 0.1225. Which is the nearest to -0.25? (a) w (b) 28 (c) 5\/6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*r + 5*q = 1219*r + 25, 15 = 3*r + 3*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8337 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {s: 1, r: 1, d: 1, v: 2, x: 11}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/21*(-2)\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + v**2 - 15 + (2*v + 1 - 1)*(-4*v + 3*v + 0*v) + 48*v**2 - 26*v**2 - 5*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3676.\nAnswer: 5\/3676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 121211?\nAnswer: 122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 118*c**2 - 236*c - 489. What is n(120)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:18 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, -4, 5, 6, 2, -42.\nAnswer: -42, -4, 2, 5, 6, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 751627208 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -42477956702 - -25.749\nAnswer: -42477956676.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1797620 greater than -1797616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 872 and 21473?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 3 - 5 - 246*i.\nAnswer: -246*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140587928 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 90, 206, 372, 594, 878, 1230?\n\"Answer: s**3 + 16*s**2 + 17*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(117) + sqrt(117)) - 2*sqrt(117)*3)\/(3*-5*1*sqrt(324)).\nAnswer: 4*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*s**2*x - 9*s**2 + s*x**3 - s*x + 29*s + 24*x**2 wrt x.\nAnswer: 7*s**2 + 3*s*x**2 - s + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33787 = -879*l + 98833 for l.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m**2 - 284*m + 18. Let d be x(-15). Let y(o) = o**3 + o - 2. Calculate y(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -25. Suppose 3*j = 5*k - 0 + 2, -i = -2*k - j. Let q be 0*5\/35 - -6. Solve v - k = 4*c, 3*v + 4*c - q = 8*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 96*h**2 - 21985*h + 232. Let b = -9 - -13. Suppose -3*d + 164 = b*t - 12, -2*d = -3*t + 132. What is the smallest common multiple of t and a(229)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*r = 169, 2*r - 32 + 42 = 0. Solve v*s + 25 = -11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/29)*d*d**(-3)\/d*(d**(-1\/25)*d)\/d**(2\/83))**(13\/4) assuming d is positive.\nAnswer: d**(-1668641\/240700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2 - 20*f + 64. Let d = 231 - 248. Is o(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 7. Let u be w(5). Suppose -4 = 4*s, -x + 13 = -u*s + 2. Let t be (-20)\/11 - -2 - (-36)\/44. What is the highest common factor of x and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let v(s) be the third derivative of -s**7\/2520 + 9*s**4\/2 + 2*s**2 + 32*s. Let g(u) be the second derivative of v(u). Determine i(g(x)).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**8\/20160 + w**7\/630 - w**5\/20 - w**3\/3 - 5*w**2 - w. Let u(f) be the third derivative of g(f). Solve u(n) = 0 for n.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/4*(-1)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**3 - h - 1. Let s be u(-1). Is (s\/2)\/((-4)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29444121 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 2138134*y\/3 + 1142904250489\/3.\nAnswer: (y - 1069067)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 + m**3\/2 + 6*m**2 + 27*m - 1. What is w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114324.48 months in millennia?\nAnswer: 9.52704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 3*j)*((-2*j**3 + 4*j**3 + 0*j**3)*(3*j + j - 2*j) + j**4 + 4*j**4 - 3*j**4).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 45\/2. Let j = -152 - -144.3. Let z = j - -8. Which is the biggest value? (a) z (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 12:48 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*h + 3*r, 227*h - 223*h + 4*r + 40 = 0. Let w(o) = 13*o + 50. What is w(h)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let f = 4 + -3.9. Which is the nearest to f? (a) -0.4 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 2 - 7*g**3 - g**2 + g**3 + 2*g**3 to x + h*g**2 + r*g + p*g**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 9*w. Let t(d) = d**2. Let f(v) = b(v) + 3*t(v). Let l be f(-9). Does 17 divide -1 + (l - 0) - -35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from {g: 4, i: 3, c: 6, s: 2, p: 1, v: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9\/c**(-7))\/(c\/c**(1\/3))**(1\/22) assuming c is positive.\nAnswer: c**(527\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -460*z**3 + 7*z**2 + z. Let m(g) = -459*g**3 + 10*g**2 + 2*g - 1. Determine -3*b(o) + 2*m(o).\nAnswer: 462*o**3 - o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 13*s)*(-1 + 1 - 2*s**2 + (2*s - 5*s + 2*s)*(2*s + 2*s - 2*s)) + s - s - 2*s**3.\nAnswer: 50*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/((-5376)\/160)*(-6)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*j + 6, 11 + 4 = -4*f + j. Let c be (-848)\/(-20) - f\/(-10). Let d = c + -18. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*g = -0*g - 50, -g - 3 = 0. Suppose -x = -5*f - 9. Let o(t) = -4 + t - f*t + t**3 + 3 + 6*t**2. Determine o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/9 + 2912*f\/9 + 317350\/3 = 0 for f.\nAnswer: -275, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7035.1298962874 - -3327604.4098975874. Let j = z - 3320569. Let c = -0.28 + j. Round c to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 11 + 4)*(4*z + 3*z - 4*z + (63 - 21 - 28)*(z - z + z)) to i*z + c and give i.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/38575193 and 51\/22691290.\nAnswer: 385751930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (21 + -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/24 + 22868\/(-160). Let d = 145 + q. Is 1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.4 or -0.109?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 87469*f + 524408. Give q(-6).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.21210191 rounded to 3 dps?\nAnswer: 107.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502 = 5*y - 5*d + 1477, -5*y - d + 37 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -33*j + 645. Let r be z(19). Solve -13*i = -7*i - r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 223.\nAnswer: 5\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*6\/(0 - -2). Let i be ((-2)\/6)\/(c\/18). Solve -x - 7*w - 20 = -2*w, 3*x - i*w - 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 591, 1977, 4679, 9135, 15783?\nAnswer: 25061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41571 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5) - (-166)\/5. Let f(d) = -26*d**3 + d**2 - 3*d + 1. Let l be f(1). Let g be (9\/l)\/((-1)\/33). What is the highest common divisor of g and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 645796\nAnswer: -645796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1821*-0.75\nAnswer: 0.136575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86061981?\nAnswer: 3, 193, 148639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*v = 204, -5*v + 126 = -3*j - 2*v. Let g be j\/(-8) - (-1)\/4. Suppose -g = -3*h - 3. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (99\/2)\/((-9)\/(-12)). Suppose 5*h - g - 59 = -5*n, -5*h + 4*n + 98 = 0. Solve -5*a + 3 = -h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2953 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1831094286 to the nearest 10000.\nAnswer: -1831090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*m + 22 + 7 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -14*q + 9*q - 4, 3*f = -5*q - 1. Calculate the lowest common multiple of 14 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171217.81 rounded to the nearest one hundred?\nAnswer: -171200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1, -56, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(19\/((-874)\/(-8)))*2\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*2\/(-12)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-43) + -320 + 2. Let u = -315 - t. Solve -u*c - 3*a = -6, 4*c + 0*c + 2*a = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 + 155*l**4\/12 - 4*l**3 + 2990*l**2 + 5420*l - 1. What is the derivative of o(m) wrt m?\nAnswer: -3*m**2 + 310*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432083401 is divided by 11771?\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*g - 4*x + 494, -2*g = -5*x - 234. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8492\/330 + (-28)\/(-105)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592974 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8861 - 4948. What are the prime factors of d?\nAnswer: 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 20*n + 570. Let y be i(-29). What is the second biggest value in y, -11, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27572 by -4.\nAnswer: 6893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30138691?\nAnswer: 11, 2739881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + 45\/20. Let h be -1 - (-1 + 0)*n. Let l = h + 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:58 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*y + 369, -67*n = -62*n - 5*y - 985. What is the smallest common multiple of 96 and n?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*t - 13 = 0, -3*h + h = -t - 5. Let k = 0.4 + 0.6. Let x = k - 3. Which is the second biggest value? (a) h (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133300 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let f = -21 - o. Let n = 35 + f. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 9781*m - 4.\nAnswer: -9781*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(3*k**2 + 2*k**2 - 2*k**2) + 1678*k - 1678*k + 32*k**2 + (-10*k + 19 - 19)*(-5*k - k + 5*k).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5\/5 - 321*g**4\/5 - 2133*g**3\/5 + 24441*g**2\/5 + 34896*g\/5 - 61776 = 0?\nAnswer: -99, -13, -4, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b - 26. Let j(x) = 2*x - 1. Let d be j(-3). Let u be n(d). Suppose 4*w - u = -w. Calculate the remainder when 21 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 8224674*r + 5637105200523.\nAnswer: 3*(r - 1370779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1717808 and -13\/88.\nAnswer: 18895888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 2\/13, -43, -3\/40, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**6 - t**4 + 27828*t**3 + 345615*t**2 wrt t.\nAnswer: -840*t**3 - 24*t + 166968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/3 - ((-69454)\/330 + 215).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/2 - 30007*d**2\/2 + 2950193*d\/2 - 2920185\/2 = 0 for d.\nAnswer: -30105, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013011001 (base 4) in base 9?\nAnswer: -483325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) -2\/3 (d) -5 (e) 1\/284\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1)*1 - (sqrt(1584) + sqrt(1584)*2*-5).\nAnswer: 1 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1542*a - 56044 - 48812 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 169, 20 in descending order.\nAnswer: 169, 20, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -748 by -34.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/885 or 1?\nAnswer: 31\/885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14 - -10 - (-7 + 2). Suppose 2*q + r - 11 = 0, 2*q - 15*r + s = -12*r. Calculate the greatest common factor of 36 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19\/(p\/(p\/(p*p**(-1\/33)))))\/(p*p**0\/p*p*p)**(-40\/7) assuming p is positive.\nAnswer: p**(6805\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3051, 3049, 3025, 2967, 2863?\n\"Answer: -2*d**3 + d**2 + 9*d + 3043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 = 23*r + 102*r. Solve 83*g - 79*g + r = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 2*g + 93. Is i(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -88*v - 3264. Let a be z(-45). Calculate the greatest common factor of 72 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131022 (base 4) to base 13.\nAnswer: b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/7 + 6\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0\/h*h*h)**(-10\/11)*h*h\/(((h\/(h**(1\/3)\/h)*h)\/h)\/h)*h\/((h\/(h*h**6))\/h*h) assuming h is positive.\nAnswer: h**(215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 2*q + 189 = 4*s - 200 + 403, 4*q = 7*s + 22 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*k - 75 = 261*k + 3*i, -4*i + 60 = 4*k. Let x(v) = 3*v. Let b be x(6). Solve d - k = -b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -90, -118 in decreasing order.\nAnswer: 4, -90, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10775907397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1145 + -306. Is o\/4 - (-9)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 7*f - 5*f = 9, -3*f - 19 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1780, 7089, 15970, 28447, 44544, 64285, 87694, 114795?\n\"Answer: 4*p**3 + 1762*p**2 - 5*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) -37 (c) 1089 (d) 2 (e) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100510040 divided by 1703560?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14949*t - 14961*t - 444 = 0 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -148, 2, -211, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 9*h - 90. Let g be b(-15). Let d be (g\/5)\/(4 + -5 - -3). Solve 3*w + 7 = -d*x + 2*x, -w - 5*x + 26 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*n**3 + 333*n**3 - 2*n + 2*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 144*o + 278. Determine c(-43).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-18)*912\/5016?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17\/6, 73.67, 2\/19?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235537630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 70*k = 26*k + 1036. Solve -52 = 14*d + k for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015883121 to 5 dps.\nAnswer: -0.01588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from {x: 12, q: 1, r: 6}?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383241 to the power of 1\/2, to the nearest integer?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.7 - 149.3. Let b = h + 192. What is the biggest value in 4\/5, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283780?\nAnswer: 2, 5, 7, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 956 and 515284?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4129 divided by 1.\nAnswer: -4129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 12*j**5\/5 + 29*j**3\/3 + 22. What is the third derivative of z(q) wrt q?\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 889.5 - 1158. Let f = -268 - g. What is the nearest to -192 in -3, f, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12*u**2 - 7*u + 11. Let l(n) = -5*n**2 + 3*n - 6. Calculate -2*d(c) - 5*l(c).\nAnswer: c**2 - c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10385\/(-279) + 392\/1764?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 45096640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1786*q**2 - 1773*q**2 + 3694*q**2)*(2*q**2 - 3*q**2 - q**2) + 0*q**4 + 0*q**4 - q**4 to the form y*q**4 + h*q**2 + p*q + o*q**3 + l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o - o)*(2*o - 2*o + 2*o) - 2*o + 4*o + o**2 - 10*o**2.\nAnswer: -13*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 5) in base 11?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 - r. Let f(c) = -c + 133*c**4 - 10*c**2 - 5*c**3 - 3*c - 136*c**4. Let l(i) = f(i) - 4*u(i). Factor l(q).\nAnswer: -3*q**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from mwwiwztwktkk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1730, -3445, -5162, -6881?\nAnswer: -8602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 233.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + ((-235)\/(-5) - -5). Let l = z - 47. Solve 4*u - l*p = -0*p + 10, 3*u - p = 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16870 + 16882. Solve -71*h + w = -67*h + y, -4*h + 4 = 3*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -749, -1499, -3521, -7451, -13925?\nAnswer: -23579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/3 + 440*g - 36300 = 0. Calculate g.\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(7\/5) - (2 + -3). Suppose 5*o + 32 = -2*f + 6*f, 3*o + k = -2*f. Let r(u) = u**3 - 4*u**2 + 2*u - 4. Determine r(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 29, 0, -51, -130, -243, -396, -595?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2356 - 2192. What is the greatest common factor of n and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-36) + (-9)\/(-12). Let n = 1.2 + -0.8. Put n, a, 4 in decreasing order.\nAnswer: 4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, 40564, 1, -24 in decreasing order.\nAnswer: 40564, 3, 1, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 29 + -9 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.64721ng to milligrams.\nAnswer: 0.00007664721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 16*x**2 + 6*x + 4. What is the units digit of p(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/6)\/g*g)\/g)\/((g*g**(-2\/47))\/g)*(g\/(g\/(g*g*g\/(g**(1\/2)*g)*g)))**(-2\/127))**45 assuming g is positive.\nAnswer: g**(91245\/11938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)*m**(3\/2)\/m*(m**0*m)**(7\/3)*m**(-6\/7)*m\/m**(-3\/7)*(m\/((m**(1\/8)*m)\/m))\/((m\/m**4)\/m*m) assuming m is positive.\nAnswer: m**(1195\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 4*b - 5*b**2 + 10*b + 5*b**2.\nAnswer: 2*b*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5927, -5925, -5923, -5921, -5919?\n\"Answer: 2*f - 5929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3719278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-111969)\/(-210) + (-2)\/7. Let c = t - 531. Find the common denominator of c and -67\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d - 17. Let z be a(-7). Differentiate -2 + 0 - 7*k**2 - z with respect to k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + 2 + (5 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 - 5*t**2 - 8*t**2)*(-t + 0*t - t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**4\/13 + 6*s**3\/13 - 24*s**2\/13 - 34*s\/13 - 12\/13 = 0. What is s?\nAnswer: -1, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -410*((-18)\/4 + 4). Calculate the greatest common divisor of 41 and a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from uhfuhhuhuf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*d - 4*v, 5*v + 26 = 4*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 - 0.01. Let w = -0.16 + -0.08. Let n = -0.04 - w. What is the closest to 1 in n, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7460223 (base 8) to base 7.\nAnswer: -22631043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*w - 74, -d - 4*w + 31 - 33 = 0. Solve d = -4*j - 2*z, -2*z = -6*j + 4*j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 39 = 3*r. Suppose -60 = -r*z + 6. Solve 2*n - 2*x - 4 = 0, z*x + 3 = -2*n + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*a**2*q**3 - 12252*a**2*q - a*q**2 + 2*a + 2*q**3 - 9635 wrt a.\nAnswer: -26*q**3 - 24504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 + 0*h**2 + h**2)*(2 - 2 + 2*h)*(3*h - 8*h + 59*h)*(2 + 0 + 0) to the form s*h**3 + b + f*h**4 + l*h + c*h**2 and give f.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 138\/359 (c) 11 (d) 1 (e) 0.4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/3 - 1\/3. Suppose -h*x = -x. Suppose q - 28 = -x*q. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224055 is divided by 20366?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(6171) + 3*sqrt(6171)))\/(1*sqrt(48)*3).\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 3*v**2 - 3*v + 3. Let m be u(-4). Suppose 4781*r = 4801*r + 2140. What is the third biggest value in m, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/k*k)**(-1\/11)*(k\/((k*k\/(k*k**(-3\/4)*k*k))\/k))**47 assuming k is positive.\nAnswer: k**(1164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-12)*(-10)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 226, 245, 264, 283?\n\"Answer: 19*g + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-8385)\/2496) - 8\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 10, 33, 78, 151, 258, 405, 598?\n\"Answer: p**3 + 2*p**2 - 6*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176) + 5 + sqrt(550)\/sqrt(2) + (sqrt(539) - (sqrt(539)*-3 + 0)) + sqrt(539)))**2.\nAnswer: 15840*sqrt(11) + 767556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duv when three letters picked without replacement from {o: 4, h: 1, d: 1, u: 1, v: 2, c: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1342, 3423, 7126, 13261, 22638, 36067, 54358, 78321?\n\"Answer: 135*c**3 + c**2 + 1133*c + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 54 + 1)*(-1 + 3 + 5*z + 3*z) to the form t*z + k and give t.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -326, -404, -518, -668, -854, -1076?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-126)\/(-15))\/(3\/(-10)). Calculate the lowest common multiple of ((-21)\/(-2))\/((-14)\/t) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5691 by -1916.\nAnswer: -5691\/1916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/18 + (-4)\/6. Suppose 3*t - 15 = -b*k + 38, -2*t + k = -31. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535708991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhnddddhdindddddid. What is prob of sequence dd?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -199842045 rounded to the nearest one million?\nAnswer: -200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7645 or 3961?\nAnswer: 3961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 - u - 1. Let t be d(-1). Let v = -5 + t. Calculate the smallest common multiple of 12\/8*112\/24 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 21. Suppose 2*b - o*b = -115. Let r = 33 - b. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 2) + 69\/(-6) and (-837)\/(-372) + 16\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5246621 is divided by 437218.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 726.1 * -2.\nAnswer: -1452.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d**3 + 2*d + 0*d**2 + 3\/2*d**4 - 3. Differentiate y(w) with respect to w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 14)*1 + 1. Let g = 3330 - 3330. Solve -3*n + l = -g*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 24*h**3 - 42*h**2 - 20*h.\nAnswer: -2*h*(h + 1)**2*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z + 10. Let y be p(-7). Suppose -y*j - 148 = -2*x - 2*x, 3*j = -5*x + 158. Calculate the highest common divisor of x and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50526269 and 9675243.\nAnswer: 454736421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2574*a**2 - 2473*a + 24431323.\nAnswer: -5148*a - 2473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 1. Let i(t) = -12*t - 4. Let k(d) = i(d) - 8*z(d). Let p be k(6). Let m = -9 - p. Calculate the greatest common divisor of 121 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c*c**(5\/13)\/c*c*c*c*c*c)\/c*c))*c)**20 assuming c is positive.\nAnswer: c**(1920\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41095, 82188, 123281, 164374, 205467, 246560?\nAnswer: 287653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/90 - 35*h**4\/36 + 34*h**3\/9 + 97*h**2. Find d, given that s(d) = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/23, 3, -0.4, -55, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a139 (base 13) to base 5.\nAnswer: -11422440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134370*q + 7475.\nAnswer: -134370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16279 + -537269\/33. What is the common denominator of 52\/21 and p?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409 + 410. Calculate the highest common factor of g and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a - 1. Let i(c) = 6*c**3 + 2*c**2 - 1. Let s be i(-1). Calculate b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2110004 - -1?\nAnswer: -2110003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 34 + 53 + 4*v - 168. Calculate the remainder when 34*3 - 0\/(-3) is divided by t(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = -104. Let p = i - 22. Suppose 0 = -3*w + 11 + 7. Do w and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/(-57))\/(3\/((-18)\/4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 15 - 18 + n**3 + (-10 + 10 + 2*n)*(n**2 + n**2 + 2*n**2).\nAnswer: 9*n**3 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 767 (c) -2 (d) -0.1 (e) -16\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86, -196, -342, -530, -766, -1056, -1406?\n\"Answer: -h**3 - 12*h**2 - 67*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2159126 and 956.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1581*j**2 - 21*j + 15*j + 6*j to the form v + b*j**2 + l*j and give b.\nAnswer: 1581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**6\/9 + 60*k**5 + 51071*k**4\/6 + 199804*k**3\/9 - 17024*k**2 - 200704*k\/3 - 1916. Find w such that y(w) = 0.\nAnswer: -224, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9453 is divided by 378.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35367663 by 20.\nAnswer: -35367663\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29645.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**6\/24 + t**5\/60 - t**4\/8 + t**3\/3 + 4*t**2. Does 20 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60.8772 + -0.3148. Let d = -0.592 - a. What is d rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2) - 0)*-1. Let d = 0.4 - 0.5. Let p = d - 3.9. Which is the nearest to i? (a) 5\/3 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 47 + 2)*(2*w - w + w) + (3 - 1 - 4)*(4*w - 2*w + 0*w) - w - w + w to the form q + c*w and give c.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/18 + 6\/(-4). Let q(s) be the second derivative of k + 1\/2*s**3 + 1\/12*s**4 + s - 2*s**2. Determine q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -374*z**3 + 5*z**2 - 241*z + 31. Let j(n) = -n**3 - n**2 - n - 5. Let b(f) = -6*j(f) - s(f). What is the second derivative of b(v) wrt v?\nAnswer: 2280*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgdsxgwpxss. What is prob of sequence xds?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (137 - (-131 + 281))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 75 = -7*q. Sort q, -1, 48, -6 in ascending order.\nAnswer: -6, -1, q, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-2)*1\/(-2). Let f(v) = v**3 + 5*v**2 - 7*v - 6. Let d be f(-6). Suppose c = -d*c + k. Solve -2*w = c*h + 3*w + 27, -4*w = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.7 + 15.2. Let h = -1549\/4850 + 17\/50. Let m = 188\/291 + h. Which is the biggest value? (a) -3 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 12*v - 10. What is the tens digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -18*j - 16. Let f be l(-1). Suppose -5*x - 6*g + 34 = -10*g, -f*x - 4*g = -8. Let h be 0 + (1 - 2 - -2). Sort x, -5, h, 2 in increasing order.\nAnswer: -5, h, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 17. Give j(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12261214.35 milliseconds to weeks.\nAnswer: 0.020273171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -21988854 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:21 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 39 = -3*d - 24, -25 = -5*d + 4*h. Solve -d*a + 4*a = -2*p + 6, p + 2 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -34. Let k be (-4)\/(-14) + w\/((-56)\/171238). Let v = -269009\/22 - k. Calculate the common denominator of v and 107\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -306, -1276, -2892, -5154, -8062, -11616?\n\"Answer: -323*a**2 - a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 377 - -52a?\nAnswer: 8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 28*b**2 - 91*b**2 - 2*b**3.\nAnswer: b**3 - 119*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 11 - 9)*(26*s**3 + 43*s**3 - 4*s**3) to q + c*s**2 + i*s + n*s**3 and give n.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12034 and 286628.\nAnswer: 3152908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/35100 and -47\/90990.\nAnswer: 11828700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06703918 times 0.1?\nAnswer: -0.006703918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 739 + -705. Which is greater: m or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12. Do w and 3\/68 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2608 + 416 = 144*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 75725 - 50002 = -5*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1, 3, 0 in descending order.\nAnswer: 5, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 5231615*k + 5231615*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 23*s + 29. Suppose -31 = 5*b - 6. Let g(k) = 15*k + 19. Let u(d) = b*h(d) + 8*g(d). Differentiate u(x) with respect to x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-48 - -81)*(-52)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a. Let s(x) = -67*x**2. What is s(n(d))?\nAnswer: -1675*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 > -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1104?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/138)\/(16\/(-6))*(-122)\/(-122)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4387 is divided by 546.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520035651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57885 = -129*r - 132129 + 59280 for r.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.34521293?\nAnswer: -0.34521293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109, -2220, -3331, -4442, -5553, -6664?\nAnswer: -7775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 11 - 2. Let y = i + 3. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 12*n**2 - 16*n + 15. Let h be u(10). Suppose 0*c - 5*c = -h. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*h + 12, 0 = 3*k + h - 1 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2)**2 - (4 + (sqrt(117))**2).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -68 + -867.8\nAnswer: -935.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27ac2a (base 13) to base 7\nAnswer: 11133631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/(4\/8))\/((-21)\/(1428\/4))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*z - 5*p + 35 = -308*z, -z + 6*p - 15 = 3*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 132? (a) 0.5 (b) -2\/5 (c) 0 (d) 1.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -453.48607 - -481.4867. Let i = a - 28. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 217 - 209 = -4*y, 2*x + y = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 0 = -b*i + 4*i. What is the first derivative of -3 - 2*v**3 + 0*v**2 + i*v**2 - 1 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2933, 6109, 14757, 31613, 59413?\nAnswer: 100893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -31736.\nAnswer: 31728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009692 to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75995*j = -76065*j + 2450 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-8) + 3\/(-8). Let n be (-585)\/1 + w*2. Round n to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**2 - l**3 + 20*l**2 + 2*l**3 - 2 + 4*l. Let d be f(-5). Let k(a) = a**2 - 2*a + 1. Let c(u) = u**2 - u. What is d*c(n) - k(n)?\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 18.\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 1088.\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2232113300 (base 4) to base 9.\nAnswer: -1307652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 130647, 2, 5, -3, 6 in decreasing order.\nAnswer: 130647, 6, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6396364 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 - 14354*x + 1093400 = 0. What is x?\nAnswer: 77, 7100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 1)*(9*q**3 + 7*q - 7*q) to u*q**2 + z*q + l + a*q**3 and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from nnzzzzzzzznz.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1100) + -2)*5)**2.\nAnswer: -2000*sqrt(11) + 110100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 2*b**3 - 28 + 3*b + 2*b**3 - b**3 + 3*b**4 in the form v*b + z*b**3 + r*b**4 + m*b**2 + c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 15971*x - 24 = 15974*x, -j = x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -4. Which is the biggest value? (a) -3 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 (base 6) in base 13?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5950 = -7*m - 27*m. Suppose -m = -11*z + 837. What is the highest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 54 = 4*j. Suppose 5*x - 2 = j*x - 2*b, 8 = 3*x + 2*b. Solve 2*d + 5 = 3*t - 3, 4*t = 5*d + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 10*o - 299. Let y(j) = j**2 + 8*j - 300. Determine -4*d(f) + 5*y(f).\nAnswer: f**2 - 304","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 2\/30125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*w - 1075*w**2 - 818*w.\nAnswer: -1075*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 49*w - 2 + 5*w - 42*w.\nAnswer: 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -28. Let z(g) = -3*g**2 + 450*g + 140. What is 5*m(u) + z(u)?\nAnswer: -3*u**2 + 450*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-965)\/386)\/(10\/24). Let f = -3.1 - -3. Let x = 0.01 - -1.99. Which is the closest to f? (a) 1\/2 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 17 = -m, -21*d + 2*m + 10 = -22*d. Put 24, d, 2, 10 in increasing order.\nAnswer: d, 2, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from ooftgnn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1544*f - 2*f**2 - 3732*f + 629*f + 1559*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 4:59 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130768 and 4928.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200\/13 - -3599\/130. Find the common denominator of -50\/11 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49754 is divided by 701?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 - 538912*f - 538910 = 0. Calculate f.\nAnswer: -269455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, 91, -0.1, 0.14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 8) in base 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 20*u + 5021 = 3*w, 5*w + 6250 = 5*u. List the prime factors of u.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1540 + 2173 + 16820 = 1234*g - 12163 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9546, 9543, 9540, 9537, 9534, 9531?\n\"Answer: -3*b + 9549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x - 13 - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcvcxcv. What is prob of picking 3 c and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10354071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 54*u**2 - 48*u - 1. Calculate h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -a + u, 3*a = 8*a + 5*u + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16*f*f**(-1\/24)*f**17\/(f*f\/((f\/f**(-22)*f)\/f*f)) assuming f is positive.\nAnswer: f**(1343\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*d + 7*d - 70 = 0, 0 = 2*d + 4. Let y = 16 - o. Find the second derivative of -4*v + y*v - 3*v - 3*v**3 + 10*v**3 wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 8*k**2 - 6*k - 5. Let j(s) = s. Let m be j(7). Let d be n(m). Let l be (d\/6)\/((-1)\/(-12)). Solve -2*w + 5 = 3*t - 6*w, -5*w - 7 = -l*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2. Let a(w) = -73*w. Let c(p) = 25*p. Let u(g) = 4*a(g) + 11*c(g). Calculate t(u(x)).\nAnswer: 2601*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 183. Suppose -c = -101 - 16. Suppose 5*m + 2*i = c, 3*i - 13 = 2*m - 3*m. What is the remainder when t is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**2\/2 + 8. Let t(p) = 8*p. Give t(v(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -236*g**2*o*v**3 + g**2*o*v**2 - g**2*o + 4*g*v + 9*g + 3*o*v - 2*v**3 wrt g.\nAnswer: -472*o*v**3 + 2*o*v**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*g = 156, m - 84 = -2*m + 2*g. What is the highest common factor of 90 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8 + 3*j + 1 - j. Let f(g) = 2*g + 345. Let c(x) = -x - 55. Let k(n) = 6*c(n) + f(n). Calculate 6*k(u) + 13*l(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6 = -14*s. What is the closest to s in 6\/11, 0.5, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*c - 2842*c + 1970*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 454545 divided by -777?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 299186529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -75. Suppose 4*x + 12 = 0, 4*v + 4*x + 0*x + 132 = 0. Let p = m + v. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1660, 4838, 8026, 11230, 14456, 17710, 20998?\nAnswer: 24326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-11)\/(-1 - 0). Let v be 177\/p + (-3)\/(-12). Suppose -20 = 4*g - a + 4*a, a = 3*g + v. Sort g, -2, -1 in increasing order.\nAnswer: g, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.3 (c) -1 (d) -291\/7 (e) 20 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021595 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1348 - -1342. Sort 5\/3, -14, n in descending order.\nAnswer: 5\/3, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/725553 and 7\/66992727.\nAnswer: 200978181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than -30884743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 15*c - 2108 = -14*c + 4*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59477 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4376 and 38329384.\nAnswer: 4376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = w + 152. Let r(s) = 57*s**2 - s + 6. Let c be r(-3). Let z = c - w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 96*s**3 + 8*s**2 - 32*s - 19. What are the prime factors of k(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117327644 to the power of 1\/3, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 321088120 or 321088118?\nAnswer: 321088120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4 - 3 + 6)*(18*j + 3*j - 3*j).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/21)\/((19 - (-58327)\/(-2958)) + 15\/18).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - o - 36 = 0, -2*t + 3*o - 352 = -350 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(44))\/((sqrt(84)\/sqrt(3))\/sqrt(7)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrraajjrjjrrrjajr. What is prob of picking 1 r and 1 a?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40970243 to four decimal places.\nAnswer: 0.4097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-36)*((-48)\/(-60))\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8630 and 2120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12245 + 20564. What are the prime factors of v?\nAnswer: 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 6.173?\nAnswer: -4.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -12. Let c be (-8)\/(-10) + 4\/20. Suppose b - c = 10. Calculate the lowest common multiple of b and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1664479*d**6 + 45097*d**2 - 2*d - 2?\nAnswer: 199737480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -58710015 in ascending order.\nAnswer: -58710015, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25 + 21 + (9 - 4). Let b(d) = 20*d + 3. Calculate b(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by (6\/(-8))\/((-3)\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 435625*c**3 - 6533625*c**2 - 32666875*c - 54443750.\nAnswer: -5*(c + 5)**3*(c + 87110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 23*w**2 - 107*w + 98. Give m(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b = -3*k - 90, k = -2*b + 63. Let o = -1301 - -1308. What is the least common multiple of b and o?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005761?\nAnswer: 3, 23, 41, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let v = 1225673 + -8579709\/7. What is the third biggest value in 2\/75, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -495 + 532 - (-19 - 3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3194799, 6389601, 9584407, 12779211, 15974007, 19168789, 22363551, 25558287?\nAnswer: 28752991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 3. Let j(b) be the third derivative of -1\/6*b**3 + 0 + 2*b**2 + 0*b. Determine -2*c(w) - 5*j(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 223507, 222660, 221813, 220966, 220119?\n\"Answer: -847*p + 224354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17099 + 45748 = 9*q. Suppose -q = -3*u + 4*b, 0 = u - b - 4*b - 2346. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61928 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -605 - -877. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 30*p**2 - 119*p + 150.\nAnswer: -(p - 1)*(p + 6)*(p + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/(-49))\/((-456)\/399))\/(3\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2130 + -2125. What is the second smallest value in -4, w, -2\/9, 9\/22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367742281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*c**4 + (-10*c**2 - 47 + 47)*(-3*c + 3*c + 2*c**2).\nAnswer: -22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**27*r**(-5))**(3\/5) assuming r is positive.\nAnswer: r**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1651 and 3497?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -224931.\nAnswer: 5\/224931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2336*b. Let i(u) = -u**2. Calculate z(i(w)).\nAnswer: -2336*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012222 * -0.69.\nAnswer: -0.00843318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let m be (-616)\/(-1122) + 4\/34. Which is the closest to -0.1? (a) w (b) m (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 + 0*v**3 + v**3)*(859*v - 828*v - 10 - 2) as i*v**4 + r*v**2 + j*v + l + t*v**3 and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/9, 1.3, -0.2, 5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + f + 27 = -22, 0 = -4*f + 20. Let n = -24 - -26. Suppose -3*v + 30 + 15 = 5*i, -14 = -v - n*i. Calculate the least common multiple of d and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/47475 and 9\/3096425.\nAnswer: 27867825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 76370.85kg?\nAnswer: 76.37085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -0.38, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -457*r**3 + 6*r + 2. Let z(y) = -314415*y**3 + 4131*y + 1377. Give 1377*c(i) - 2*z(i).\nAnswer: -459*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93209 > 93211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008268665 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 0*q**3 + 2*q**2 + 4*q**2 + 5*q**2 as r + l*q**3 + u*q + g*q**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - 2*s - 2. Let x(j) = 26*j**2 - 11*j - 11. Let i(w) = -22*b(w) + 4*x(w). Let r(d) = 2*d**2. What is i(r(q))?\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 195780*v\/7 + 17017722\/7.\nAnswer: 2*(v + 87)*(v + 97803)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvyf when four letters picked without replacement from {y: 6, f: 4, v: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 34742?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(0*z**4 + 2*z**4 + 0*z**4) - z**4 + 2*z - 2*z + 12*z**4 + 24*z**2 - 24*z**2 + (3 + 2*z**2 - 3)*(-1 + z**2 + 1) + 3*z**4 + 0*z**4 - 2*z**4.\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5*r. Let t(x) = 4 - 4 - x**2 + 2*x. Let j = 35 - 35. Suppose -u + 2 = -j. Determine u*g(a) + 5*t(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (15 - (-6 + 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 457238856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3653960 to the nearest integer?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.018 - 11. What is x rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4552 and 24564?\nAnswer: 27953832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 15*m**2 - 28*m + 28. Let t be k(13). Suppose t*u - 67*c = -70*c + 95, u - 53 = 4*c. Calculate the remainder when 97 is divided by u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 727303?\nAnswer: 727300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 777377? (a) -3 (b) 4 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3073 + -3076. Which is the second smallest value? (a) -0.21 (b) y (c) -2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0\/b)\/b)**(-34)*b\/(b\/b**(-6))*b\/b**(-3\/4))\/((b**0\/b)**(-17)\/((b**5*b)\/b**(-1\/11))) assuming b is positive.\nAnswer: b**(2325\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*t - 3)*(-66*t - 7 + 15 - 10).\nAnswer: 198*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.5 - 13. Let h = d + -0.5. Sort h, -0.4, 5.\nAnswer: h, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 40049\/3874?\nAnswer: 40049\/3874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - 74. Suppose -r*o = -79*o - 3876. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3793 bigger than -3773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 656*r + 660*r - 2, -r = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**3 - 16*m**2 + 20*m + 8.\nAnswer: -4*(m - 1)*(m + 2)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-108))\/((-30)\/81*(-5)\/(-75)*-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 3 (c) 0.11 (d) -1\/14 (e) -44 (f) -2\/3 (g) -60\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65033 is divided by 92.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 + 17111265*w**2 - 24399675714336*w + 170796891549396 = 0 for w.\nAnswer: 7, 2851874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2021 (b) 2\/3 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7498\/593 or 12?\nAnswer: 7498\/593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 1\/13*a**2 - 6\/13*a**3 + 2\/13*a + 3 - 8\/65*a**5 + 11\/26*a**4. Factor b(r).\nAnswer: -2*(r - 1)**3*(4*r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 410814? (a) -6 (b) 52 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k**3 - 134*k**2 + 41*k - 201. Give c(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 249822092 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5\/3, -2\/11, 5, -255?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9103.517ml?\nAnswer: 9.103517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 15*s - 52. Let q = 171 - 163. Let f be c(q). Solve -i = -5*j - 23, 5*i - f*j - 28 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2. Let h(y) be the first derivative of 2*y**3\/3 - 369. Determine g(h(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2420130 (base 5) to base 9.\nAnswer: -67704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3784 and 13?\nAnswer: 17.9192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22007668 divided by -11003834\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 33. What is the smallest common multiple of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*z - 147 = -z, 3*p - 5*z - 116 = 0. Let v = 85 - p. Suppose 5*q - 8 = 72. Calculate the highest common divisor of q and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440390002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 777\/420 + 81\/(-36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407296193 to the power of 1\/2, to the nearest integer?\nAnswer: 20182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -0.4, -12.19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3355 - 3346. Let u = 4 + 0. Suppose -s - u = -13*j. Solve 0 = 2*p - 0*i + 3*i + j, 5*i - 13 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20081?\nAnswer: 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmllfdfll. What is prob of sequence mffl?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 21*c**2 - 4*c - 2. Is y(-2) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5008)\/7512*(-10)\/8?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2598 + 2624 + -31 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -206730 + 41427 - 464445 + 9896*r**3 + 4*r**5 + 138*r**4 - 256*r**4 - 136584*r**2 - 206*r**4 + 756756*r = 0. What is r?\nAnswer: 1, 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -0.3. Let z = 0.968 + h. What is z rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3812 = 5*o + 3847 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 67 + 2*w + 36*w**2 - 23\/6*w**4 + 2*w**3 - 1\/30*w**6 + 13\/20*w**5. Factor r(h).\nAnswer: -(h - 6)**2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 3*l - 4. Let g(o) = 5*o**2 - 5*o + 7. Let d(x) = 4*g(x) + 7*i(x). Let w(f) = 7*f**2 - 4*f. What is -6*d(v) - w(v)?\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 22. Let s = g - -15. Solve 5*p - s*c - 7 = 2*p, -p - 15 = 3*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1, -7, 3, 5 in ascending order.\nAnswer: -7, 1, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1893 by -48253.\nAnswer: -1893\/48253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g - 37 = -i, -g + 41 = 5*i. Solve 3*u - g = 7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 314194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:22 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1391 + 1391. Let b(w) be the second derivative of 12*w + f*w**2 + 1\/6*w**4 + 1\/6*w**3 + 1\/20*w**5 + 0. Suppose b(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0 + 0)*(7 + 2*o - 7) + o - o + 2*o**2 + (-5*o**2 + 3*o**2 + 3*o**2)*(5 + 1 - 4) + 5*o**2 - 2*o**2 - 2*o**2 - 3*o**2 - o**2 + 3*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/15 + l**4\/12 + 3*l**3\/2 - 5*l**2. Does 24 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:43 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 17*z + 3*q - 6, -3*z + 3*q = 0. Solve -3*y - 4*g + 2 = 0, -y + z*g + 7 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -h - 4*m + 10*m, 5*h - 3*m - 8 = 0. Let y(v) = -v - 45. Let u(b) = 1. Calculate h*y(j) + 5*u(j).\nAnswer: -j - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*y - 7, 3*b - 2 + 4 = -y. Let z be y - 3 - (-16)\/7. Let t = 0.6008 + -0.1008. Sort t, -3\/4, z, 1 in decreasing order.\nAnswer: 1, t, z, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -969.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(2\/17)\/(l**5\/((l**6\/l)\/l))*(l**0*l\/(l*l**6*l))**28 assuming l is positive.\nAnswer: l**(-3347\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3660 + 3686.936. Let z = -0.064 - l. Let o = 27.32 + z. Round o to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 64.5. Let y = i - 35.5. Let o = 62 + y. What is the closest to -2\/3 in 0.1, -2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51315 (base 9) to base 5.\nAnswer: 2040131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*((-440)\/(-8))\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -6.7. Let g = q + 6. Let o = g + -0.2. Which is the smallest value? (a) 4\/3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 + -13 + 3) - (1163 - 1111)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = 28, -n - 27149 = -5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12976*n**2 - 13315*n**2 + 26296*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 5*y = 21, 5*h - 9 = y. Let m be 2 + (h*-6)\/(-2). Suppose -30 = -5*b - m. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 1132*z**2 - 2248*z = 0. What is z?\nAnswer: 0, 2, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-1) - 35476\/4410 - 836\/25740?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**2*q**5 + 3*f**2*q**2 + 102*f*q**4 - 4*f*q**2 + 7*q wrt q?\nAnswer: 300*f**2*q**2 + 2448*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*20\/(-15). What are the prime factors of (c - 16*10)*(-40)\/20?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 21634\/(-2) - (-5 - -3). Let j = -3615 - l. Suppose j = -2*k - 0*k. What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:14 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + -137. Let d be (-18)\/(-4)*(574\/l + 4). What is the closest to 2\/7 in d, -1, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*i - 8. Suppose -3*p + 7 = -i. Suppose 5*d = p*r + 10, -3*r = -d - 0*r + 4. Solve -3 - d = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2 (c) -2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 6*z**2 + z + 3. Let v be q(-6). Let j(u) = -u. Let i be j(v). Let t be (9 - 3\/i)\/2. Let k(r) = -r - 4. Calculate k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7338\/24 - 3\/12. Let b = 257 - l. Calculate the common denominator of -37\/4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7720*k + 38208 = 8516*k for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s = -4*r - 103*s + 147772, 3*r - 3*s - 110844 = 0. What are the prime factors of r?\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/15, 0.06, 53.7, 1, 0.2.\nAnswer: -1\/2, 0.06, 2\/15, 0.2, 1, 53.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = 9. Find the third derivative of 0*p**2 - b*p**2 - 2*p**2 + 16*p**5 - 7*p**5 wrt p.\nAnswer: 540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1440*z**2 - 436*z**2 + 211*z**2 + 1496*z**2.\nAnswer: 2711*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 10:01 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099742929 rounded to five dps?\nAnswer: 0.00997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 8. Suppose -5*g = -4*l + 2, 0 = -3*l - m*g + 3 + 12. Let b = 52 - l. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 4\/(-2) + 7 + 1. Let j(w) = -w**3 + 7*w**2 - 7*w + 8. What is j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, a: 1, o: 3, c: 1}. Give prob of sequence oao.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 251*v - 14. Let l(t) = 785*t - 42. Determine -19*b(j) + 6*l(j).\nAnswer: -59*j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -41*z + 153. Solve 2*k - 2*h + z*h = -5, 30 = -3*k + 3*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-7\/3))**5)**(11\/5) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/3 + 4*l**4 - 52*l**3\/3 + 32*l**2 - 64*l\/3 = 0. Calculate l.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115.7968 - -0.0032. What is x rounded to zero decimal places?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 53. Let b be 5\/(-20) + (-2)\/56. Suppose -3*n - 3 + 0 = 0. What is the nearest to -1\/3 in l, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 19*p**2 + 148*p - 88. List the prime factors of y(35).\nAnswer: 2, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + (-298)\/14. Let l = -506 + 534. Suppose l*k = 31*k - 15. Let m(g) = -9*g + 21. Let b(f) = -2*f + 5. Determine k*m(j) + s*b(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1481 + 47 = 0. What is the remainder when w is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**2*r**4 + 5*j**2*r**3 - 2*j**2 + j*r**3 - 57*r**2 wrt r.\nAnswer: -432*j**2*r + 30*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 4740*f**4 - 2602314*f**3 + 244271160*f**2 - 5311506312*f = 0. What is f?\nAnswer: -1227, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696198 is divided by 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/105880 and 109\/741160?\nAnswer: 741160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)\/(81\/243 - 122\/375). Solve c + 2*t = -4, -v*t = -4*c - 122*t - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*-2*12. Suppose -8 = -4*d - 0. Let i be (-2 - -6)\/2 + d. What is the greatest common factor of s and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594407.\nAnswer: 3, 107, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d**(2\/7)*d)\/d))*d)\/(((((d**(1\/24)\/d)\/d)\/d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(881\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0182 + -0.6818. Which is the closest to h? (a) -3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d + 2*s, 0*s + s + 9 = 3*d. Solve -d*o = -8*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 12111?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17*k**2 + 9*k. Let j be y(6). Let f = -318 + 1171. Let g = f + j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 0.02, 2 in decreasing order.\nAnswer: 114, 2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4186, 8387, 12588, 16789?\n\"Answer: 4201*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:23 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z**3 + 1\/1140*z**6 + 29\/2*z**2 - 1\/57*z**4 + 0*z**5 + 24 + 0*z. Let h(m) be the second derivative of g(m). Factor h(t).\nAnswer: 2*t*(t - 2)*(t + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 times 13.4?\nAnswer: 7303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 4 + 4)*(-72*n**3 + 7*n**3 + 29*n**3).\nAnswer: 216*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + q)*(4 - 4 + q**2) + 3*q**3 - 6*q**3 + 6*q**3 + (-5 + 74 + 2*q + 16)*(2*q**2 - 3*q**2 + 0*q**2).\nAnswer: 3*q**3 - 85*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8775 - 7?\nAnswer: -8783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Let r = 1049 + -1061. Let l be 3 + (r\/(-18))\/((-14)\/54). What is the fourth smallest value in l, -0.6, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97738*q**3 - q**2 - 97740*q**3 - 3*q**2 + 4*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 d when four letters picked without replacement from dnnndndnndnrrnnndd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3578, 3583, 3588, 3593?\n\"Answer: 5*u + 3573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -148?\nAnswer: 148.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 829*g + 10604. Determine p(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c + 25*c + 3 = -20*c. Let b(u) be the second derivative of -1\/2*u**2 - 1\/3*u**c - 7\/12*u**4 - 26*u + 0. Determine b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 8 - 3*d**2 + d**2 - 13)*(-16*d + 3*d**2 + 16*d) to the form c + l*d**4 + m*d + v*d**3 + a*d**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + 0 + 0)*(-153*k**2 - 52945 + 52945) as n*k**2 + f + u*k + c*k**4 + s*k**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -354*-5*(-7)\/(-70). Calculate the highest common factor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.04 + -0.14. Let f = -1 + x. Let d = -4 + 1. What is the second biggest value in -1, f, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 1873*b**2 - 624*b.\nAnswer: -b*(b - 624)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22623*l**3 + 18*l - 1622022 wrt l?\nAnswer: -67869*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 53*m + 4. Let t(w) = -266*w - 21. Let j(f) = -11*l(f) - 2*t(f). Let u be j(-2). Calculate the highest common factor of u and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/40 - 41*l**4\/4 + 483*l**3\/4 + 11*l**2 + 5*l. Factor c(x).\nAnswer: 3*(x - 161)*(x - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8669*p - 2040 = -8567*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a - 8. Suppose -5*y + 3*y + 6 = 0. Let i be -1*(-1 + -1*2). Solve -a*z - 11 = y*k + 1, -3 = i*k + z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-1445) - (-14)\/(-51))*-1.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2. Let n(w) = 7*w**2 + 3. Calculate b(n(h)).\nAnswer: 49*h**4 + 42*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132.96243 hours to days.\nAnswer: 5.54010125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Sort n, -2\/7, 0.13 in decreasing order.\nAnswer: n, 0.13, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 24?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -119, 18.675, 2, -2\/11?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + (sqrt(448)*1*5 + sqrt(448))**2)) + (sqrt(448) - (sqrt(448) - sqrt(448)*-2)**2) + 4.\nAnswer: -20156 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 36. Let n be 5\/h + 6 + -5. Let w = 0.213 + 0.087. Which is the nearest to 0.1? (a) -2\/7 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(480\/(-45)))\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 6*r)*(-2494*r**4 - 130*r**4 - 1437*r**4).\nAnswer: -12183*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/5, -73, 2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*j + 3, 5*j + y - 45 = 6*y. Suppose -2*f + 5*f = j*s - 44, -4*s + 4*f = -48. Suppose 0 = -3*n + 4 + s. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 55 - 154 = d, -9 = -3*o - d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - w = 17 - 7, 2*g = -2*w + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*s**3 + 90*s**3 + 13*s + 2*s**2 + 1 - 44*s**3 to the form d + t*s**3 + w*s + u*s**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647 at most as big as 8645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**5 + 46*a**4 + 2*a + 1253?\nAnswer: -140*a**3 + 552*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90426*x - 167 + 82 - 150692*x + 85.\nAnswer: -241118*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5337307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 17. Let j = -24.99935 - o. Round j to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19545.37 litres?\nAnswer: 19545370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 28. Let y = f - 29. Let c = -14 - y. Put c, -1, 1 in descending order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 8*l**2 + 374 + 15*l**3 - 742 + 369 as i*l**3 + t*l**2 + g*l + y and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7)*-7 - (-4 - -6). Are p and -2\/4667 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 341 = -37 + 4 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 290*x + 251*x + 12*x**3 - 162*x + 8*x**3 - 21*x**3 as h*x**2 + d*x + q*x**3 + v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.6 + 29. Let b = j - 3. Let u = -23 + 27. What is the nearest to 1 in 3, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1990188 and -43\/8.\nAnswer: 3980376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -276136.81047 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1965188.\nAnswer: -5\/1965188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 2. Let w(u) = -u. Let t(d) = b(d) - 6*w(d). Let k be t(0). Let j(g) = -63*g**2 + 30*g**k + 38*g**2. Let i(x) = -3*x. Give j(i(h)).\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, -3\/4, 0.02, 18776.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 938360.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2 or 1.12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**2 + 4*q + 3. Let s(z) be the second derivative of -z**4\/12 + z**3\/6 + 2*z - 9037. Give 5*s(r) - y(r).\nAnswer: 3*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32247 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 3*s**4 + 9*s**3 + 15*s**2 + 6*s = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0 - 2\/7*f**2 + 0*f = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 10. Let h be (-16)\/(-80) + 132\/(-10). Let k be d(h). Suppose z - 18 = k. Solve -4 = -0*w + w, -j + 5*w + z = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48955758?\nAnswer: 2, 3, 31, 43, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3. Let j(c) = -5*c**3 - 8*c**2 - 3*c + 13. Let h(s) = -j(s) - 6*v(s). Let b be 22509\/3843 - 2\/(-7)*(-2)\/(-4). Is h(b) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:51 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 23*b - 28 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 673800*i - 110368720 = 0.\nAnswer: -134596, -164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o - 21 - 199 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-4)*-2 + 0 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -0.1 (b) -17 (c) -11.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - -2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1893*x + 1 + 2341*x + 1745*x.\nAnswer: 5979*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-48) + 20\/(-160). Let k = 5502931\/11 + -499874. Let u = -393 + k. What is the nearest to u in z, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.5681 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 133*l - 535. What is the lowest common multiple of h(5) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -598? (a) 0.4 (b) -1 (c) 2 (d) 1\/80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081375 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428 is divided by 1185?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113231231 + 11?\nAnswer: -113231220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16299582 - -0.163. Round g to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 418719\/80 - 5234. Find the common denominator of 7\/2 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/9*813\/(-2). Suppose 7*x - m = -654. Suppose -3*k + 5*q = -x, -2*k - 4*q + 272 - 80 = 0. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*z - 6 + 5 = 0, z = 5*n - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 21\/5 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 + 69*n + 69. Let c be l(-1). Solve 0 = -3*a - 2*f - 2, -5*f = -5*a - c*f - 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -447.\nAnswer: -36\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 255115.\nAnswer: 2\/255115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*n + 49*n - 30 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/11, -282, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -20. Let g = a - 27. Let y = -11 - g. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 74*t**4 - 548*t**3 + 1232*t**2 + 64*t - 1792 = 0. What is t?\nAnswer: -1, 2, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = -38. Let t be (-2)\/4*(-8)\/n. Let d = 14\/137 - -176\/959. What is the smallest value in t, d, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(833)*-1)**2 + sqrt(68)*-1*-5)*3*2.\nAnswer: 60*sqrt(17) + 5016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3201486885.\nAnswer: 3, 5, 71144153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**2 + 15*m + 2. Let l(y) = -57*y**2 - 44*y - 7. Let s(w) = -2*l(w) - 7*v(w). What is the second derivative of s(u) wrt u?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1787.00887 - -1787. Round m to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:13 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 5*m**2 - 5. Let k be f(5). Let b(l) = l**3 + 5*l**2 - 1. Let a be b(k). Is a greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 11. Let g be i(16). Suppose k = -2*p + 4*p + 4, 3*k + g*p = 56. What are the prime factors of 78\/k*(2 - -2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/(2\/6). Suppose 3*x + 2 = 4*x. Find the third derivative of -2*v**2 + 9*v**y + v**x - 4*v**4 wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003497 is divided by 4624.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5\/4 - 5*m**4\/2 + 130*m**3 + 840*m**2 + 1440*m = 0. Calculate m.\nAnswer: -6, -4, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 28, 45, 64, 85?\n\"Answer: p**2 + 12*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43641 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425978545.\nAnswer: 5, 1193, 71413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-1)\/w)**(5\/14))**(-4\/15) assuming w is positive.\nAnswer: w**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(4\/(-30630624)*3). Suppose -g = -2*p + 5*p. Let a = 9052552 + p. What is a rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = -40. Suppose 13*m - 52 = 39. What is the least common multiple of m and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303334 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33948928 to the nearest integer?\nAnswer: 5827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 89 = -0*o + 5*d, -3*o + 73 = 5*d. Let q be (o\/(-6))\/((-10)\/15). Let c = 2 + q. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 26 = 3*u. Suppose 1 = -2*v + 5*t + u, -3*t - 15 = 3*v. Solve 5*o + 10 = -4*r, 2*o + 4*r + 4 = -v*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 2.99. Let t(n) = -n**3 - 18*n**2 + 15*n - 78. Let x be t(-19). Put -0.01, x, w in descending order.\nAnswer: w, -0.01, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsss when four letters picked without replacement from ssssxsssssxxssss?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/4325 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/7 + 15*w**2\/7 + 39*w\/7 + 3.\nAnswer: -3*(w - 7)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 2959 + 2959.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + (-17)\/18. Let z = -6 + 2. What is the nearest to 0.2 in 4, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -25. Suppose 3*r + q = 1. Let m be (-64)\/24*r\/6. Solve 0 = c + m - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 37 - 1 = 0. Let n be (-21)\/o + 6\/9. Suppose -y + 4*q + 8 = -0*y, 2*q = n*y - 14. Calculate the least common multiple of y and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5901 and 25\/367878?\nAnswer: 103373718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-five quarters of a year?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208637041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 5, 46, 28.\nAnswer: -7, 1, 5, 28, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 8*p + 15. Let q be 2\/10 - 14\/p. Factor -1\/5*w**4 - 8\/5 - 18\/5*w**2 - 7\/5*w**q - 4*w.\nAnswer: -(w + 1)*(w + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 302 + 1087c0?\nAnswer: 108ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*c = -2*c, 0 = -4*c. Suppose r + 98 = 3*r - 4*v, 5*v = -2*r + 125. Suppose -7*u + r + 8 = 0. Solve -3*i + b = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333540094*y**2 + 2*y - 14950143?\nAnswer: 667080188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 2*i - 8*i to c + m*i and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11 + (10 - 19))\/(38\/20) and 6*1 - (-1 + (-1508)\/(-247))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 2*t + 2. Let c = -10 + -2. Let r = 10 + c. Calculate p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111111100 + -100?\nAnswer: -1010000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128 a factor of 1307193864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 830475707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116045 is divided by 296?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50922 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-71 - -109) - (4 + 7).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93732 and 1226400.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 4, -98, -0.1?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2413 + -10?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1516, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t + t**2 + 6*t + 11*t - 76 + 5*t. What is the remainder when 96 is divided by a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaax when four letters picked without replacement from xaxaaxxaaaxaaxxxxxxa?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 510 - -424. What are the prime factors of p?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17 + -1 - (-3)\/3. Let o = 64 - z. Calculate the remainder when o is divided by (-10)\/8 + 1643\/124.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*(-1 + sqrt(176)) + sqrt(176)))**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*l = -21, 2*l - 9 = -6*r + 3*r. Suppose 19 = 4*h + p, 0*h + 27 = 3*h + r*p. Factor 1 - h*y + 6*y**2 + y + 11*y + 1.\nAnswer: 2*(y + 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -1332*w**5\/5 - w**2 - 2625*w + 3790. Find the first derivative of s(i) wrt i.\nAnswer: -5328*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 388*o + 58. Let c(z) = -185*z - 29. Calculate 13*c(y) + 6*j(y).\nAnswer: -77*y - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - (-24603)\/1888)\/((-1)\/4). Let t be (-2)\/1 + 3 + 6. Let h = t + -4. What is the nearest to -2 in h, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u - 44 = -57*u + 4*k, 3*k - 6*k = 15 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {z: 1, i: 1, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73464, 146930, 220396, 293862, 367328, 440794?\n\"Answer: 73466*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20025015 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: What is 45.99 less than -1468682972?\nAnswer: -1468683017.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 = -5*m, 10*m = 14*m - 2*w - 14. Let r be 36\/(-150)*(m\/(-3) + -9). Suppose 4\/5*q**3 - 8\/5 + 0*q**2 - r*q = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p**2 + 2. Let o(x) = x**2. Give 4*o(q) + y(q).\nAnswer: 20*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252*x**2 + 41\/2*x**3 - 19872*x - 1\/2*x**4 + 214272.\nAnswer: -(x - 24)**3*(x + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*l - 43, -26*l + 42 = -5*d - 23*l for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-156)\/7 - 4\/(-14). Let v be (o + -4)*(-6)\/(-4). Let k = -39 - v. Solve -2*i - i - 6 = k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 + 59*z - 19. Let i be t(5). Which is the third smallest value? (a) i (b) -0.4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-12))\/(8\/(-60)). Let x(q) = q**3 + 7*q**2 + 6*q. Let j be x(f). What is the greatest common factor of 30 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 20*j + 33. Give g(-13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155810 divided by -5?\nAnswer: -31162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 11*x - 21 = 3*s, -4*s - 23 = -x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/2 - 292*l + 42632 = 0 for l.\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -0.017 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39459891 + (-4)\/3*3. Let g = b - 27759887. Round g to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, -11\/4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243335 (base 6) in base 12?\nAnswer: 1054b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.250416 centuries?\nAnswer: 325.0416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/40 + 7*k**5\/20 + k**4 + 4*k**2 + 20*k. Factor i(c).\nAnswer: -3*c*(c - 8)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - v + 27 = 21, 19 = 4*g + 3*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = -0*y. Suppose 2*p = 5*z - 5 + 6, y*p - 13 = z. Let g(b) = 2*b - 2. Let i be g(5). Calculate the greatest common divisor of p and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 198*y + 1429. Give h(-91).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 2*i**2 - 11*i - 289. Calculate h(0).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4047 or -5720?\nAnswer: -5720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 14*i**2 + 42*i + 10. Give a(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-666)\/(-555)*(-2 + 18\/4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 8. Calculate the remainder when l(-6) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3 - 208\/70). Let o(z) = z**3 + 30*z**2 + 56*z - 64. Let d be o(-28). Let m = i - d. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 2, a: 1, r: 4, g: 4, o: 1}. What is prob of picking 2 g?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.5925 from -703.\nAnswer: -700.4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 518*y**3 + 6*y**2 + 4*y - 22. Let l(n) = 1555*n**3 + 17*n**2 + 12*n - 67. Let w(x) = 6*l(x) - 17*r(x). What is the second derivative of w(b) wrt b?\nAnswer: 3144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1908 + 2844. Let i be 2\/13 + 558\/o. Which is the biggest value? (a) -4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -13 - 16 - (-2 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -236288 times -1?\nAnswer: 236288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 5. Let y be m(-5). Suppose -3*u - 7 - 8 = y. Let o(v) = -9*v - 2. What is the remainder when o(u) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhljbvl. Give prob of picking 1 h, 2 j, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 3:48 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 823 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2734 + 10205?\nAnswer: 13141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.2 (b) -2 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -72924 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:45 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + 0 + sqrt(3))**2 + (sqrt(108)*-6)\/sqrt(9).\nAnswer: -4*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13188 = -68*q + 13120 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123082 + 399*l**3 + 306*l**3 - 123082 + l + 126*l**3.\nAnswer: 831*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*l + 626*l + 27 = g, -47 = -3*g - 5*l for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*y + 23038, 41*j - 36*j + 4*y - 28830 = 0. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104\/5 + 213\/10. Let d = 0 + -4. Put d, 0.1, l in decreasing order.\nAnswer: l, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 132657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 8*z - 5. Let f(l) = 7*l**2 - 17*l + 10. Let u(a) = -2*f(a) - 5*r(a). Let k be u(6). Solve k - 1 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**4 + 27*g**3*u**3 - 13*g**3*u + 2046*g**2*u**3 + 5*g*u**3 wrt g?\nAnswer: -240*g + 162*u**3 - 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/308 - (-80)\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 72 - 12 = 0. Let l = -2 - -4. Calculate the least common multiple of l and (8\/(-10) + 2)*40\/n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*v**3 + 1\/3*v**4 + 1\/3*v - 1\/9*v**5 - 2\/9*v**2 - 1\/9 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*u**4 - 40359\/7*u**2 + 78660\/7*u - 38988\/7 + 690\/7*u**3.\nAnswer: -3*(u - 114)**2*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13509)\/38)\/79*(0 + 4\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -387*u + 384*u + 3. Is u greater than or equal to 9\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 138. Let z(m) = -m**3 - 7*m**2 - 5*m + 8. Let q be z(-6). Suppose f = -q*j - 1, 0 = -0*j - 4*j + 3*f + w. Solve 3*l - j*l + 4 = -n, -5 = n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 6855 = 0. Suppose w - 4*g = j, 4*w - 9119 = 5*g - 10*g. Let u be w\/(-4) + 2\/8. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 99\/2. Which is the closest to -6\/5? (a) 0.3 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 4\/2 + 7. Let s(g) be the third derivative of -g**6\/120 + g**5\/10 + 7*g**4\/24 + 2*g**3\/3 + g**2 + 10927*g. Determine s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*m + 7 + 7, 4*m - 14 = -3*y. What are the prime factors of (-1)\/m*(5 - 73)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 5496 = 1359. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 w when four letters picked without replacement from {w: 3, v: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 + 530.44. Let m = 530.001018 - i. Round m to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {v: 2, x: 1, s: 2, p: 4, t: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41112 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2349 and 4374.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8*t**32*t**(1\/66)\/((t*t**(-4))\/t) assuming t is positive.\nAnswer: t**(2905\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (sqrt(65) - (2*sqrt(65) - sqrt(65))))*-3 + sqrt(65) - (sqrt(65)*-2*-3 - sqrt(65)))\/(sqrt(15)\/(sqrt(9)\/sqrt(3)) - -2*(sqrt(5) - sqrt(20))).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 73*w**2 + 221*w + 515. Give j(76).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 + -0.01. Let x = 16\/27 + 2\/27. What is the second smallest value in f, 0.4, 2, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -734.10197?\nAnswer: -73.410197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/60 - 7*l**4\/12 + 25*l**3\/6 + l**2 + 22. Calculate the lowest common multiple of 162 and w(13).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18597 + -7084. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/884*4\/3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 29, 38, 8, -2 in descending order.\nAnswer: 38, 29, 8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5113 and 6666886040?\nAnswer: 6666891153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -f - 32. Suppose 260 = 2*i - 4*l, i - 5*l = f*i - 605. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 19*q**2 + 61*q + 3. Let u be l(15). What is the third biggest value in u, 2, 0.2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 15*c + 31. Let n be r(13). Let d(a) = -a - 1. Determine d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, -0.03, -1, 21\/5?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 215.1 * 0.04\nAnswer: 8.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:39 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 9 - 9. Solve 5*f - 11 = -2*z, m*z - 5*f + 17 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 342 + 498. Let c = 192 + -82. Let w = p + c. Solve 4*z + 0*l + 29 = -3*l, w*z + 10 = 5*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 = x, 2*x - 3*g - g - 6 = 0. Suppose w - 74 = -4*n, x*w + 4 + 26 = 2*n. Let k = -13 + n. Solve 5*l - 2*c + 17 = -k*c, -l - 9 = 2*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w - 2*a + 24, 4*w - 10 = 3*a. Solve -4*y + 3*l - 2*l = -12, w*l = -4*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a4116 + -9?\nAnswer: -2a4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, c: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*z + 243*z - 64*z + 56*z + 518*z.\nAnswer: 1024*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5055 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 15 - (-6 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12244, 12205, 12194, 12223, 12304?\n\"Answer: 2*q**3 + 2*q**2 - 59*q + 12299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 + 0 = 0. Suppose -f + z*y - 31 = -4*f, 5*f = -4*y + 30. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9391166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/50904 and -115\/6666?\nAnswer: 559944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 348\/5, 2, -0.5?\nAnswer: 348\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t - 88*t + 443 = -87*c, 29 = -2*t - 7*c + 2*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6.05. Let u = t - -0.14. Let c = 0.09 - u. Is c >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 77*z**2 + 229*z - 5984. Give o(75).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = -8*u. Suppose -u - 2 = f. Let w be 1\/f*0 + 7. Solve 4*v - w - 5 = -4*m, -4*m = -5*v + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28415595.\nAnswer: 3, 5, 13, 145721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 468 = c, -2*w + 466 = 2*c. Suppose 234*a = w*a - 55. Calculate the least common multiple of 20 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**5 - 32*u**4 - 56*u**3 + 80*u**2 + 156*u - 144 = 0?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -231b - 181?\nAnswer: -249c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 4*h. Let s(a) = 2*a**3 + 11*a**2 - 7*a. Let o = 368 - 379. Calculate o*l(j) - 6*s(j).\nAnswer: -j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*p + 28*p + 8742 + 38*p + 16*p as f + a*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7822 and 2210?\nAnswer: 8643310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -9. Let t be f\/40 + (-1 - (-5)\/2). Solve -2*r - 3 = t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7481449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346443 and 193443?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 37\/2 (c) -3 (d) -5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1870 and 167\/450.\nAnswer: 84150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 51. Let o = -631\/14 - j. Which is the closest to -1? (a) 0.3 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439\/2 + -3292\/15. Let s(o) be the third derivative of 16\/3*o**3 + 0 - 2\/3*o**4 + 0*o + c*o**5 - 11*o**2. Factor s(p).\nAnswer: 2*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 102*s**3 - s**2 - 846*s**3 - 449*s**3 + 0*s**2 in the form p*s**2 + h*s**3 + v + c*s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - -2) - (9 + 29 + -14 - -7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1459 (base 11) to base 3\nAnswer: 2120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1840265 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -45913, 1, -7, -236 in decreasing order.\nAnswer: 1, -7, -236, -45913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2302*m + 2297*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3499\/15 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*4*(-40)\/64*-4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (122112\/4240)\/((36\/(-20))\/(-3))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Let d be 34\/(-187) + 2\/(-3) + (-262)\/(-231). Which is the biggest value? (a) d (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 2*v + 3. Calculate the smallest common multiple of s(-3) and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/130, -1.75, -1, 0.02?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/((-420)\/(-112))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by 107.\nAnswer: 118\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428940 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 8*g + 2. Let k(j) = j**2 - 5*j + 2. Let w be k(6). Let x be l(w). Let c be (0 + -1)\/(8\/(-8)). Solve -3*h = -c - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218462663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -558b1 + 3?\nAnswer: -558aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4045333.9 to the nearest 10000.\nAnswer: 4050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*0.8.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1.2, -0.002, -9?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -32 + (0 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 3) + 1 + 2. Suppose 5*z + y = 5*w + 43, -z + 3*w = -1. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.016 + 0.028. Let g = j + 0.056. Which is the smallest value? (a) -1 (b) -3\/7 (c) 3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**2\/3 - 2*o\/3 = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3 - 16*w**2 - 84*w = 0.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1534*m + 24543. What is i(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-3) + (-6)\/9. Suppose -5*l = m*q - 301, q + 4*q + 77 = l. Let o = 223 - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + 119e?\nAnswer: 117d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {n: 4, v: 1, m: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -150?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/624184 and 23\/8601560?\nAnswer: 352663960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*k - 4. Let n = 5 + 2. Suppose 5*m + n = -13. Put -3, m, k in descending order.\nAnswer: -3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0*g**4 + 0*g**5 - 15\/2*g**2 + 16*g + 8\/15*g**6 + 0*g**3 + 0. What is the derivative of t(q) wrt q?\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 3*i**2 - 4*i**2 + 0*i**4 + 11*i**4 + 13*i**3 - 2*i - 10*i**4 in the form u*i**4 + n*i**3 + k + w*i**2 + x*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2317 + 3*j**2 + 2317.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/30 - 4240448\/(-60). Let k(q) = -n + 13*q + 70674. Let y(x) = -x**2. Calculate y(k(i)).\nAnswer: -169*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:46 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42808 is divided by 261.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 1, -3 in descending order.\nAnswer: 12, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1771430*s + 1771430*s + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, q: 1, o: 1, j: 1, e: 3, h: 3}. What is prob of picking 1 q, 1 k, and 1 h?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 111, 102, 87, 66, 39, 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:51 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -10005?\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/400 and (-506)\/(-800) + 12\/(-32)?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (43\/(-473))\/(3\/229)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 60. Suppose -10 = -2*v - 2, 5*x - a = -3*v. Let m(i) = i**3 - 8*i**2 - i + 10. Let l be m(8). Solve -l = -x*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1422170 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 415942, 831885, 1247840, 1663813, 2079810, 2495837, 2911900?\n\"Answer: s**3 + 415936*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468140.\nAnswer: 2, 5, 89, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578217015 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 99 = -2*w. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 4)*6 + (sqrt(1300) - (6*(sqrt(1300) + -2) + sqrt(1300))**2) + 3.\nAnswer: -63817 + 1750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -211 - 19130104008\nAnswer: -19130104219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1102021001 (base 3) to base 12\nAnswer: -14184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 87.95.\nAnswer: -88.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 8*t**2 - 6*t + 8. Let w be v(-7). Suppose o - 40 = -4*u, -o = -2*o + 5*u + 31. Suppose z + o = 32. Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1053\/12)\/(4\/(-976)) - 1. Let x = w - -35915. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2*b - 2. What is u(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s)*(-3 - 4 - 1)*(-36 + 65 - 29 - 935*s**2).\nAnswer: -14960*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7072277591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = 35250 - 35675 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - 63?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*u**2 - m**2*u - 242*u**2 + 515*u - 1 wrt u.\nAnswer: -2*m**2 - 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10108 = -1597*r - 17041 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.13328 - 0.13328. What is the nearest to -1\/7 in -5, d, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 1866266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = -45*o + 41*o. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 + ((-2)\/2 - (-1 - -1)). Let m = -10 - b. Factor 7*g**2 - 7 - 3 + m - 2*g**2.\nAnswer: 5*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3018*y*z**2 - 4*y*z - 234*y + 7*z**3 + 9*z + 1 wrt z.\nAnswer: -6036*y + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**27*w)\/(w*(w*w**(7\/6))\/w) assuming w is positive.\nAnswer: w**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:25 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 76. Suppose 28 = 8*r - 12*r. Let p be (2*r\/3)\/((-2)\/3). What is the highest common factor of g and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(4\/10 + (-492)\/480).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/4)\/3)\/(58\/(-232)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -154027.377 less than -7.17?\nAnswer: 154020.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -939 - -616. Let c be ((-1 - g) + 3)\/(-1). Calculate the remainder when (c\/75)\/((-2)\/(-30)*-1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 5309 in descending order.\nAnswer: 5309, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2238*q**4 - 1276*q**2?\nAnswer: -53712*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181721 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10 = -2*s. Let l(k) = -19*k + 19. Let d(n) = 38*n - 37. Let f(j) = s*l(j) - 3*d(j). Is f(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/12 - 8*k**2 - 12*k + 16. Determine u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5 and -20\/11879.\nAnswer: 59395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2135 * -1.2.\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -3, -5 in increasing order.\nAnswer: -5, -3, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 7*l + 2*s + 4, 0 = 4*s - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -1 + 12 + (-1 + -8 - 12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*h + 3*h. Let n = -3 + h. Suppose -4*j - 2 + 39 = -5*i, 5*i - 11 = -2*j. Calculate the smallest common multiple of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) - (sqrt(264) + (sqrt(264)*-2 - sqrt(264))))\/sqrt(11))\/sqrt(8) + sqrt(18)\/(1*sqrt(6)) + -4)**2*-5*-5*-3.\nAnswer: -4800 + 2400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 32 = 4*v, -4*v - 3588*r + 14 = -3587*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 0.013, -1\/11, -1132 in descending order.\nAnswer: 5, 0.4, 0.013, -1\/11, -1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-14) + ((-5)\/(-35)*180449 - -6)?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52*5*(38922\/2600 + -15)?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = s. Suppose 0 = -s*m - 6 - 14. Are m and -5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 406139\/766080 + -193\/2432. Let h = -1\/45 + o. Let s = 0 - -0.4. Which is the nearest to -1? (a) -4 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 7. Let o(i) = 8*i + 4 - i**2 - d*i + 6*i. Let g be o(5). Solve 7 = 3*b - 5*a, a - g = -3*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + -5 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 755 and 54440785.\nAnswer: 54440785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8141 (base 10) to base 12\nAnswer: 4865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - -20.18064558?\nAnswer: 20.21064558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -760.343 - -760. Let w = -0.5 + 0.3. Let k = w - p. Round k to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 256*r**2 + 3440*r - 764. Give c(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 0, 5*o = -0*s + 3*s + 15. Let d = -66361\/7 - -9533. Let b = 54 - d. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*z, 10*a = 9*a - 4*z + 4853. What are the prime factors of a?\nAnswer: 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/6963, 0.1, -1\/3 in descending order.\nAnswer: 9, 0.1, 2\/6963, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 + d + 12. Let q be (1 - (-66)\/(-30))*(12\/(-2) + 1). Let j(v) = -15*v**2 - 2*v - 24. Calculate q*j(t) + 11*w(t).\nAnswer: -2*t**2 - t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let n = -1539 - -4561\/3. Let g = 19 + n. Which is the closest to 1\/4? (a) g (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 861 divide 2569024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*f**2*u**2 - 4*f**2*u + 10*f**2 - 3000*f*u**2 wrt f.\nAnswer: -186*u**2 - 8*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 543*n - 548*n - 193, -3*g - 73 = 7*n for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2685505 or 2685504?\nAnswer: 2685505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 86627 to the nearest one thousand.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9772 + 0.0228. What is the nearest to t in -1, 0.5, -11, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1, -368, 0 in descending order.\nAnswer: 3, 0, -1, -4, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102530, -102768, -103006, -103244?\nAnswer: -103482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 830395226 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 8)\/(1*-2). Suppose 18 = -4*z - c. Is 2\/5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2219 + -1152. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*p**2*x**3 - 82308401*p**2*x**2 + 2*p*x**3 - p*x**2 - 997974*x**3 wrt x.\nAnswer: -234*p**2 + 12*p - 5987844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659 by -2182.\nAnswer: 1659\/2182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 10*w + 5. Let x be s(-4). Suppose -2*l = -x*l + 5984. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2192*s + 2115*s - 462 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -1420, -3715, -7346, -12523?\nAnswer: -19456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 5*f**8\/84 - f**5\/4 + 5*f**2\/2 - 38. Let j(p) be the second derivative of c(p). What is the third derivative of j(d) wrt d?\nAnswer: 1200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4380\/495 + -10 + 4\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 103 - 117 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34355151.\nAnswer: 3, 43, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18665, 37220, 55775, 74330, 92885, 111440?\nAnswer: 129995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*g - 20770 = 0, -2*g - 14 = -12. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004191 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -37*i**2 - 6*i. Let k(f) = -2000*f**2 - 325*f. Let w(r) = -6*k(r) + 325*v(r). Let z(c) = 2*c. What is w(z(a))?\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose 5*n - 4*t - 3 = 0, -5*t + 3*t = -s*n. Suppose -i = i + 2, 5*i = -n*w + 28. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*j = -3*j - 68, n - 4*j = 25. Let a(s) = -8*s + s**2 - 3 + n*s + 5. Let p(b) = -2*b**2 - 2*b. Let m be p(-2). What is a(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)*(-1080)\/270. Let b = -84 - -84.5. Let s = -1\/78 + -149\/546. What is the fourth smallest value in b, s, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1351 + -1351.3. Let k = 4 - 6. What is the closest to -1\/3 in v, 4\/7, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f7 + -c0163?\nAnswer: -c035a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 14) in base 8?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -250, -184, -118?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4\/5 + 3172*o**3\/5 - 744268*o**2\/5 + 12336636*o - 236636640 = 0. What is o?\nAnswer: 27, 155, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(192) - (-4 + sqrt(12))))**2 + -4 + 5 + ((-1 + sqrt(3) - sqrt(3))*-5)**2 + 1 + 3.\nAnswer: 1296*sqrt(3) + 4242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -140, -309, -546, -851, -1224, -1665?\nAnswer: -2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 10*v - 4*s - 544, v - 272 = 4*s. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 6*v + 10. Let k be o(3). Suppose 9 = 3*f, 0 = d + 5*f - 10*f + 14. Is d less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from pljjrjjlj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49007*b**4 - 19161*b**2?\nAnswer: -1176168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 554*d - 347. Is n(34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1011420*u**2 + 5*u. Let k(g) = -3*g. What is k(a(t))?\nAnswer: -3034260*t**2 - 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d - 20. Let x be q(3). Suppose x*y = 2023 + 2009. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -341 greater than or equal to -344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((-128)\/(-1575936)*162)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1465506 and 1465504 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1409 = 61*s + 1013 - 436 + 454 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919715*q - 2*q**3 + 919715*q + 29*q**2.\nAnswer: -2*q**3 + 29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -437d7 (base 16) to base 12.\nAnswer: -113b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2. Suppose 3*l = 7*v - 2*v + 10, 2*v - 3*l + 13 = 0. Let r(d) = -2*d + 7. Let k(b) = v*r(b) - 4*f(b). Calculate k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from kcloooa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 657.\nAnswer: -5\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114326 a multiple of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1268*q - 18. Suppose -11*u - 227 + 249 = 0. Is o(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g**13)**(-33) assuming g is positive.\nAnswer: g**(-3069\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/4 of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 137394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268000 and 2343392?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73361?\nAnswer: 73361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -637 - 1103. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 14228500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2860 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2312 + -151515?\nAnswer: -154231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -10 + -12 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-452)*76780548\/(-52195). Let v = -4\/8249 - l. Let x = v - -1492\/33. What is the common denominator of 53\/12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -73, -158, -259, -382, -533, -718, -943?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let w(j) = j. Let z(d) = 4*l(d) - 5*w(d). Let t = -191 - -528. Let g(y) = 5*y - 337 + t. What is z(g(x))?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*1*(-132)\/176*-16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x - 1. Let a(s) = s - 2. Let r be a(5). Let l(c) = 2 + 0*c + 2*c - 4*c**r + 1. Calculate 2*g(f) + l(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(833)*-1 + 4*(sqrt(833) - sqrt(833)*2)**2)*4.\nAnswer: -112*sqrt(17) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 133, 431, 1237, 2803, 5381, 9223, 14581, 21707?\n\"Answer: 42*j**3 + 2*j**2 - 2*j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.357096 less than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 - 270. Let a = 393.4 + f. Put -2\/9, -1, a, -11 in descending order.\nAnswer: a, -2\/9, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -89. Let g(x) = x. Let i(l) = -61*l - 1. Let k(q) = s*g(q) + i(q). Is k(-2) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let s = l - 1.6. Which is the second smallest value? (a) 4 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 15. Suppose t*x + 444 = -0*x. Let b = -45 - x. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -613 in -5, 0.4, 3, 26\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 127. Let j(u) = 3*u + 66. Determine 9*j(k) + 4*y(k).\nAnswer: 3*k + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3964357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -592, -1070, -1548?\n\"Answer: -478*a - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-161))\/(8\/((-112)\/30))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -82 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 814 and 1850?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(((y\/y**(-5\/3))\/y*y*y)\/y*y))))**(-22))**(2\/3) assuming y is positive.\nAnswer: y**(352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (-2 + 13\/6)\/((-587)\/(-3522))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-513))\/((-28950)\/(-8685)*(-2)\/10)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/138 - (-34)\/6. Suppose 15 = -3*d, -7*r + c*d - 8509 = -9*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/3314616 and -82\/15.\nAnswer: 16573080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/7, -5, -0.07, 2\/29?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -5*l. Suppose -339 = -2*h + 3*y, 5*h + l*h - 900 = -3*y. Suppose 0 = 13*j - 12*j - h. What are the prime factors of j?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28465, 113857, 256183, 455449, 711661, 1024825?\n\"Answer: f**3 + 28461*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9641.67 years in millennia?\nAnswer: 9.64167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 93*i - 4*i**2 + 8*i**2 - 1092 + 63*i - 3*i - 25*i = 0.\nAnswer: -39, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63.954, -5, 0, -2\/7, 18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*d**3*h + 1197*d**2 + 5*d*h - d - 17319*h - 95 wrt d?\nAnswer: -66*d**2*h + 2394*d + 5*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**2*s + 221151*g**2 - 1858*g*s - 10*g - 6274*s + 12 wrt s?\nAnswer: 3*g**2 - 1858*g - 6274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 24*o**2 - 46*o + 37. Calculate z(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = z - 27, -k + 6*k + 33 = 4*z. Suppose 0 = -3*n + 117 + z. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4) + 4 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 + 489 = -11*n. Let p = 35 - -1. Solve -n*y + p = -12*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13553?\nAnswer: 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82827 and 18135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342 - 338. Suppose -50 - 15 = -5*f. What is the remainder when f is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.87 * -4.\nAnswer: -19.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyyyyccyyyyyy. Give prob of picking 3 y and 1 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxn when three letters picked without replacement from xxrhtnxrtrxl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*x - c - 10, -2*x = -4*c - 26. Suppose -2 = -x*r + 7. What is the highest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1211820 and 6840.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2*a**2 + 2*a - 2. Let s(b) = 1 + 7*b**3 - 4*b**2 - 4*b + 3 - 8*b**3. Let r(y) = -5*h(y) - 3*s(y). Solve r(o) = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492910075 divided by 1085?\nAnswer: 454295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -7\/24*p**4 - 7\/6*p**3 - 5*p**2 + 0*p + 0. Let f(a) = -11*a - 11. Let j(n) = -8*b(n) + 5*f(n). Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990503510 to the power of 1\/2, to the nearest integer?\nAnswer: 31472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 9*k**4\/2 + 8*k**3 + k**2 - 4*k - 18. Find a such that o(a) = 0.\nAnswer: -1, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-6))\/(-3)*(-10)\/5. What is the fourth biggest value in 4, -0.4, 26, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -0.6. Let h = 2979\/11 - 271. Which is the closest to 0.1? (a) 0.4 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*z - 10001*o**3 - 1301*o**2*z - 22*o - 1 wrt o?\nAnswer: 12*z - 60006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -32804984.7\nAnswer: 32804979.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1*(-2)\/(-1). Let c(u) = 3*u - 4*u + l*u - u**3 + 5. Let d = 18 + -13. Let y(x) = -2*x**3 + 8*x + 8. Calculate d*y(g) - 8*c(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 341*y**2 + y - 2. Let l be g(1). Let x = l + 111. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = d + 3*f, -2*d - f - 18 = f. Let a = 5 + d. Let z be (10\/7)\/(a\/7). Solve 0*x - r - z = -5*x, 0 = -2*x + 5*r + 27 for x.\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) -0.2 (c) 1 (d) 3 (e) -5830233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k**2 - 3*k**2 - k**2)*(-k - 1 + 1) + 734*k + 79*k**3 - 734*k.\nAnswer: 95*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:21 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.2 and -0.5.\nAnswer: 36.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -1, -4.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 36. Suppose 13*c - s*c = 121. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3566931, 3566880, 3566829?\n\"Answer: -51*y + 3566982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6461941 (base 10) in base 15?\nAnswer: -8799b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*i + 152*i + 2970 = -158*i - 122*i for i.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 1\/90*r**6 - 6*r**2 - 1\/315*r**7 - 1\/9*r**3 - 1\/36*r**4 + 1\/45*r**5 + 0*r - 1\/504*r**8 + 0. Solve z(s) = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/15, -2\/7, 3, 2\/3 in ascending order.\nAnswer: -2\/7, -1\/4, -2\/15, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1515 (base 8) to base 3.\nAnswer: -1011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 381*n**2 + 11904*n + 12288.\nAnswer: 3*(n - 64)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/15*8700\/(-3045).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-10))\/(9\/99945) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 43*l - 2557. Give s(61).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*l = 2623, -2*f + 2*l + 3494 = -6*f. Let u = 1354 + f. List the prime factors of u.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 254960.\nAnswer: 764880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 3. Suppose 0*r + 2*r - 23 = -5*f, -4*f + 18 = 2*r. Let z be y(r). Which is smaller: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.149 + 0.049. Let f = -1.1 - u. Which is the closest to f? (a) 1 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -35 + g**3 + 17*g - 21*g + 11*g - 5*g**2 + 1 + g. Give b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 27 - 48*b - 118*b)*(b**2 - 2*b**2 - b**2) + 7*b**3 - 16*b**3 - 4*b**3.\nAnswer: 319*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-14) + (-12)\/(-42). What is the second derivative of -r + 6 + 6*y**5 + y wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 9) to base 7\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(1584)).\nAnswer: -12*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -937*n**3*r + 5223*n**2*r + 26853270*n*r wrt n?\nAnswer: -5622*n*r + 10446*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 7. Let h(p) = 5*p + 4. Let a(r) = -7*h(r) + 4*x(r). Let q(o) be the first derivative of 0*o**2 + 0*o + 1\/3*o**3 - 5. Give q(a(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -884298, -3537165, -7958604, -14148615, -22107198?\n\"Answer: -884286*s**2 - 9*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/30 - 0)\/(2\/6). Let b(i) = -11*i + 4. Let o(k) = -9*k + 3. Let x(n) = -4*b(n) + 5*o(n). Determine x(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.004 + -1. Let s = 0.06 - r. Let y = -0.056087 + s. Round y to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-9 - -6))\/((-1)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5588 - 3399. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1882*b - 124192. Give f(66).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798026354 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/6 - 1244341*h\/6 + 622171\/3 = 0. What is h?\nAnswer: -1244342, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 28 and 79177 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = 28. Suppose 4*l = v*l. Solve 2*j - x = -l*x + 10, -5*j + 4*x = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 398, -0.5, -1, -1\/29, -4 in ascending order.\nAnswer: -4, -1, -0.5, -1\/29, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 5. Let a(v) = 4*v - 23. Let g(y) = -a(y) - 5*d(y). What is g(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6567359\/260 = 25258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-885)\/1180*(-4)\/18. Let k(s) be the third derivative of p*s**3 + 32*s**2 + 0*s + 0. Let n(b) = b - 4. Give 12*k(z) + 3*n(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-7 - 2) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 + 40*s**2 + 14\/3*s.\nAnswer: 2*(4*s + 1)*(15*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7196*q - 1613*q + 1160*q as o + m*q and give m.\nAnswer: -7649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1886, -2781, -3706, -4679, -5718, -6841, -8066?\nAnswer: -9411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6911763 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11139134*j**3 - 4575460*j**2 wrt j.\nAnswer: 66834804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.8 + 9.7. What is the nearest to -0.1 in t, -3\/2, -2, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 47. What is the lowest common multiple of 10 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41*-0.45142\nAnswer: -0.1850822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -0.24, -0.1, 3\/10, 1\/9, -195, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.134 + 0.196. Let s = -0.042 + v. Let k = -422\/5 - -84. Which is the smallest value? (a) s (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1075 - -1063\/6450. Let r = j + 2. Find the common denominator of 31\/323 and r.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) -3 (c) -1 (d) 77\/4 (e) -8\/3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 44 = p. Suppose 3*i + 7 = p. Let t = 13.0825 - 0.0825. Which is the third biggest value? (a) i (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-19)\/10 - 50\/(-100). Let w = 3 + -1. What is the closest to q in w, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3899808 and 26400?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -61. Let m be w*((-32)\/(-18) + 14\/63). Suppose -4*x - q = m*q - 2363, -4*x + 2362 = 2*q. Round x to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557687 = 50*j - 206213. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*r, 34 + 1 = 5*p - 313*r + 314*r for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 19*i - 4. Let w be k(10). Let m be (w\/(-9))\/(3\/(567\/6)). What is the closest to m in -2, 3, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let h(g) be the second derivative of 3*g - 1\/12*g**4 + 0*g**3 + 0 + 0*g**2. Determine n(h(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-15)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*q - 1425809, -q - 712915 = 4*b - 3*b. Let d = b + 162912. What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -20470, 1\/4 in increasing order.\nAnswer: -20470, 1\/4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((197\/(-1576))\/((-2)\/(-16)))\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k**4)*(-18*k - 221 + 221) + (-3*k + 3*k + k**3)*(-4*k**2 - 2*k**2 + 2*k**2) + 3*k**5 - 3*k**5 - k**5 - k**5 - k**5 + 3*k**5.\nAnswer: -40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*b - 26 = -0*o, -4*o - 12 = -4*b. Suppose -i = -0*i. Let a(s) = 0*s + o*s + i*s. Let d(j) = -2*j**2. Give a(d(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 4 - (-4 - -2). Let w be (3 - 1)*(-5)\/t. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 27 - 4*n + 29*n**3 - 30*n**3 - n**4 to the form r*n**4 + o*n**2 + k*n**3 + w + m*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-61)\/(-4))\/(117\/32292)?\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 3*t - 3. Calculate the remainder when u(4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4288038 + 25?\nAnswer: -4288013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x*x**(-10)*x*x)\/x))\/x*x*(x**(-4\/9)\/x)\/x assuming x is positive.\nAnswer: x**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w*x**5 - 4*w*x**2 + 788*x**6 + 92*x**2 - x - 1 wrt x?\nAnswer: -360*w*x**2 + 94560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*j - 62*j + 134703 - 49*j - 134703.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00918409 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r - r**4 + 3*r)*(54*r + 47*r - 12*r).\nAnswer: -89*r**5 + 178*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2075, -2099, -2123, -2147, -2171?\n\"Answer: -24*p - 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/(-5 - -1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438230350 rounded to the nearest 1000000?\nAnswer: -438000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.9. Let p = 0 - z. Let r = 0.05 + -2.05. Which is the nearest to p? (a) -2\/17 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3\/2 + 5271*f**2 - 147099*f\/2 + 173250 = 0. What is f?\nAnswer: 3, 11, 3500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 1, u: 12}. Give prob of sequence cc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -825*u + 75. What are the prime factors of b(-11)?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2145742054.9033644904 - -10103384.9033623404. Let y = l - -2135638751. Let i = y - 81. What is i rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/13 + 1300\/(-4056).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 248*k**2\/7 - 4082*k\/7 - 12232\/7.\nAnswer: 2*(k - 139)*(k + 4)*(k + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 771 - 1084. Let d = -145 - b. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 219 - 137)*(-2*a**2 + 4*a**2 - a**2).\nAnswer: -294*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/4, -1\/7, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) + 2*sqrt(66) + sqrt(66))*-1 - -1*sqrt(66)*-6)\/(sqrt(294) - (3*3*sqrt(294) - sqrt(294))) + 2.\nAnswer: sqrt(11)\/49 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 4:17 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2913.71 - -2913.9. Which is the fourth biggest value? (a) 0.2 (b) h (c) 0 (d) -2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/6, -23, 4, 12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:27 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.55 and -0.3.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -159.697. Let x = b + -0.3030007. What is x rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001 (base 2) to base 5.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/30 - -2)*(67 - -83).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**2. Let a(u) = 11697*u. Determine a(q(s)).\nAnswer: -116970*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 + 12*r**2 - 3*r - 3. Let c(w) = -w - 3. Let v be c(3). Let t be g(v). Let k = 5055\/8 + t. Calculate the common denominator of -24\/7 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4725868 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70395?\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625068 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -440 - -1242. Let s = 5616\/7 - r. Solve -s*k**5 - 18\/7*k + 32\/7*k**2 + 12\/7*k**4 + 4\/7 - 4*k**3 = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 703562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231*t - 151 wrt t.\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1425 + 4273\/3. Let k = -0.584 + 0.284. Which is the biggest value? (a) -309 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 13. 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 the next term in 2275, 4537, 6799?\nAnswer: 9061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 5. Let k(v) = -v**2 - v. Let g(z) = -30*z**2 - 4*z - 12. Let u(p) = 2*p**2 + 1. Let m(d) = g(d) + 12*u(d). Give b*m(n) - 4*k(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9209570 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-70)\/(-5)))\/((-3)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 340 - ((-4)\/2 + 0). Calculate the highest common divisor of o and 1197.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38396416 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1531.999991464 - -1532. What is r rounded to 7 dps?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h**3 + 21*h - 51. Let k(u) = -3*u**3 - 4*u + 10. Let z be (-11)\/(-3) - 195\/(-585). Calculate z*n(c) + 21*k(c).\nAnswer: -3*c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 262 = -696. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = -t, 0 = 3*v - 5*v + 3*t + 7. Suppose 14 = -h + v*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 104?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 + 4)\/(532\/(-114)))\/(1\/(-1)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5241\/(-15777) - (-1)\/3. Is x less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = r - 3*r - 3*k, r = 3*k + 61. Suppose l - r = 44. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-24)*(-29)\/((-5510)\/(-4218))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r + 52. Let u be v(0). Suppose -4*c + 0*c = -u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 919 + -7431\/8. Find the common denominator of m and 19\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w - 12, -3*h = -2*w - 102. Suppose -442*j + h = -438*j. Suppose -13 = -4*b + 7. Calculate the least common multiple of j and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.68 - -0.32. What is the closest to 0 in m, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -1276621 in descending order.\nAnswer: 2, -1, -1276621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385144?\nAnswer: 2, 31, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*j**2 - 232*j - 64.\nAnswer: -4*(j + 8)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*f - 29. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxycyyyyfxfcrcxxyyy. Give prob of sequence cx.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*g**2*r**3 + 1939311*g**2*u + g*r**3*u + 48*g*r**3 - 4*r - 102 wrt u?\nAnswer: 1939311*g**2 + g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n - 154. Calculate t(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0 - (12 + 2). Let i be 2*(-1 + j\/(-4)). Let t = -6252 + 6252.1. Which is the nearest to t? (a) 3 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22012910 and 103998.\nAnswer: 66038730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12\/7))**(25\/7))**37 assuming n is positive.\nAnswer: n**(-11100\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25370999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -98640.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89233396 rounded to 3 decimal places?\nAnswer: 1.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294892019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4636 by -12.\nAnswer: -1159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 4316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -2 in descending order.\nAnswer: 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5320 by -2.\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 1, -100, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 430 = 984*o - 986*o, 0 = -6*o - 4*s + 1306. Suppose 2*n - 2 = 0, 2*n - 4*n + 586 = 4*i. What is the greatest common factor of o and i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y + 14. Let u be (-40)\/(-7) + (-6)\/(-21). Let l be g(u). Let w = -24 + l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*d**2 + 274*d**2 - 143*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5260320 divided by -12645\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 22*s**2 + 7*s**2 + 8*s**2. Let p(a) = -a**2. Calculate r(p(m)).\nAnswer: 37*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.4, -32, 6, 0.5.\nAnswer: -32, 1\/4, 0.4, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 52690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3843267, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeii. What is prob of sequence ee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*((-3*g + 2*g + 0*g)*(-g**2 - 3 + 3) - 2*g**3 - 2*g**3 + 5*g**3 + (5*g - 3*g + 0*g)*(4*g**2 - 3*g**2 - 3*g**2)) + 0*g**3 + 0*g**3 - g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 2*g - 4*g - 5*g.\nAnswer: -7*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l. Suppose -3*g + g = l. Suppose -4*z + q + 80 = -128, -5*q - 20 = g. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 26. Let n(o) = o**2 + 10*o + 4. Let c be n(v). Calculate the greatest common factor of 90 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.5436086s to weeks.\nAnswer: 0.0000521554375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3079979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1929066 at most as big as -1929082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 398 - 471.7. Let o = n + 74. Which is the third biggest value? (a) o (b) -4 (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - h + 2337 = -1839, -3*r - 3*h = -4164. What is the greatest common divisor of 656 and r?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/((-102)\/18 - -5). Suppose 2*n + c - 793 = 0, a*c - 792 = -2*n - 0*c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 1581331.63220515.\nAnswer: 1581336.63220515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g. Suppose 0 = 3*i - 2*x + 34, 26 = -g*i - 2*i + 2*x. List the prime factors of (i\/(-16))\/((-3)\/(-210)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168016 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggghgghggghgggg. Give prob of picking 4 g.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14671, 29401, 44127, 58849, 73567, 88281, 102991?\nAnswer: 117697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 100 - 51 + 4*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 68, 88, 104, 116, 124?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 371*1 + (5 - (-70)\/(-10)). Suppose -729 = -3*z + z + 5*q, -2*q + v = z. What are the prime factors of z?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**4\/3 - 11*u**3\/6 + 8*u**2. Let x be r(3). Suppose -3*q - 1 + 19 = 0. Is q less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 10*g + 5. Let n be u(10). Suppose n*y = 2*y + 75. Calculate the greatest common divisor of 75 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(2 - 0).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6345 divided by 31573?\nAnswer: -6345\/31573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5720 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13459\/516 + (3 - (-13)\/(-3)) and 101\/864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgdyvgys. What is prob of sequence ty?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24+-2.9\nAnswer: -26.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3090 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/2 + 2*q**2 + 2*q. Suppose -20 = 2*h - 7*h. Does 16 divide w(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 273*r**2 - 671*r - 8130. List the prime factors of x(-12).\nAnswer: 2, 3, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 + 140*v**2 - 135*v - 59. Determine g(27).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 4*11)*6400\/32. Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1. Let v(g) = g**2 + 5*g - 6. Calculate -v(u) - 6*w(u).\nAnswer: -u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u**5 - 64*u**4 - 56*u**3 + 48*u**2 + 68*u + 16 = 0. What is u?\nAnswer: -4, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.1 + 64. What is the second biggest value in u, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -41, -62, -85, -110?\n\"Answer: -d**2 - 16*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*h - 2 - 28, 4*h = -4*c + 92. Suppose 5*q - 69 = -c. Solve 2 = 4*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38086215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 188409.7 years?\nAnswer: 2260916.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 137*f + 593. Determine u(-6).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - (-3 + 39)\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -39. Let s = v + -30. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316 + 319. What is the second derivative of 0*k + 20*k + 63*k**3 - 54*k**l + 2*k**4 + 34*k + 22*k wrt k?\nAnswer: 24*k**2 + 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, -27 in increasing order.\nAnswer: -27, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfffnfffnnffn. Give prob of sequence fnnf.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22855 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 71 - 74 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -1 (c) -0.5 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -27 - (-18 - (-15 + 23)). Put 5, 2, z, 11, 10 in decreasing order.\nAnswer: 11, 10, 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psxxxpojjjsssju. Give prob of picking 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19 and 1956.8491?\nAnswer: 1937.8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 32*x = -32589. Let y = -729 - x. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010111001001110?\nAnswer: -1010111001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:25 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o. Let x(d) = -16978005*d**2. Give x(j(z)).\nAnswer: -1697800500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 26*g - 2*g - 12*g - 10*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4466 - -6800. What are the prime factors of r?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 15*h + 13. Let w be d(-14). Let z = -4399\/25 - -176. Which is greater: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 141, 118, 77, 12?\n\"Answer: -t**3 - 4*t + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 43. Let j = 4504 - 4548.8. Let r = y - j. Which is the nearest to r? (a) -0.3 (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrcroo. Give prob of picking 2 r and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 2*x + 1. Let c(g) = -5*g**2 + 7*g - 2. What is 3*c(v) + 6*j(v)?\nAnswer: 3*v**2 + 33*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -423, 116, 3, -1042 in increasing order.\nAnswer: -1042, -423, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847104621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7161 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4638, -4625, -4610, -4593, -4574?\n\"Answer: b**2 + 10*b - 4649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10444, -20900, -31370, -41854, -52352, -62864?\n\"Answer: -7*t**2 - 10435*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368712 + -33.2371.\nAnswer: -368745.2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2\/3 + 1885*k\/3 + 630.\nAnswer: -5*(k - 378)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*z**2 + 111*z wrt z?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from pdissssdsssdss.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 777164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**5\/5 + 40*q**3 - 558*q - 642. Differentiate u(z) wrt z.\nAnswer: -12*z**3 + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.406113*-0.024\nAnswer: 0.009746712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1105.145174 + 38660984.614826. Let t = c - 38662051.76000103. Let b = t + -38. What is b rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11452*p - 11451*p + 8 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, -1\/1037, -0.1?\nAnswer: -1\/1037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.95 and 0.22.\nAnswer: -1.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*d = 7*d + 50, -b - 3*d + 22 = 0. Suppose 0 = -3*h - 3*x + 21, 3*h - b = -x - 0*x. Sort -30, h, -5, -2 in ascending order.\nAnswer: -30, -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19 (b) -0.25 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088100 rounded to the nearest 10000?\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/28 and (-2*(-1)\/12)\/(168\/3213)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000148692 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*f + 968. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1545, 1532, 1499, 1440, 1349, 1220, 1047?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576*y**4 - 2*y**2 - 47*y - 1 wrt y?\nAnswer: 6912*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 772716 divided by -110388?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/(2\/6). Suppose 0 = h*f + k - 13, f + 5*k - 23 = -2*f. List the prime factors of 2\/3*27\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 35*l**2 + 64*l + 69. Let c be a(33). Differentiate 64*g**3 - 51*g**3 + 184*g**c - 2*g**2 + 44 + 80 with respect to g.\nAnswer: 591*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/527 and 58\/315?\nAnswer: 166005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0094586 - -40.2889914. Let m = g + -40.3. Round m to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23954055 - 295565945 = -16*n. What is n rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1329, -1337, -1349, -1365?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*r - 10, 22 = r + 4*r - 3*s. Suppose v + 0*v = 9. Let k = 11 - v. Calculate the greatest common factor of r and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13740937147 and 0.28.\nAnswer: 13740937147.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1183c0 - -14?\nAnswer: 1183d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908168 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*h + 42, 2*p = p + 3*h + 5. Let o = -11 + p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6705 and -3.77?\nAnswer: -25277.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2350 - -4601\/2. What is the common denominator of 47\/32 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 6 - -13) + -4 - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 2133840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 9*q**2 - 20*q - 6. Let m be w(-5). Sort -1, m, -5, 3 in increasing order.\nAnswer: m, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107363629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3154372 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 59. Calculate the common denominator of (y\/18)\/(4\/(-16)) and 7\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2.94?\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n + 291976 - 291976.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**4 - 12*f + 897 wrt f?\nAnswer: 20*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3136 and 25984.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/1538 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -1 + -2 + 4587. Suppose -23*s + 27*s = q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131999.931 - 131829. Let c = 171 - p. Let t = 0.0631 - c. Round t to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/50*(-72150)\/222?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/611 and -19\/11.\nAnswer: 6721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from oyryzlzojylj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -93*x**2 + 11*x - 11. Let r(k) = 31*k**2 - 4*k + 4. Give -4*h(g) - 11*r(g).\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2832 - 832?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 79 + -2 + (1166 - 1211)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 7*z. Let w be p(-7). Suppose 0*f - 5*f - l + 1968 = w, 3*f + l - 1182 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(392) - (sqrt(392) + -1*sqrt(392) + sqrt(392) + sqrt(392))))\/(sqrt(7)*-1*3))\/(1*sqrt(288) + sqrt(8) - (sqrt(96)*-1)\/sqrt(12)).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32796832723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.2. Suppose -s + 8 = 2*j - 4*j, 3*s - 2*j - 4 = 0. Let h be (0 - s)*(-10)\/4. What is the nearest to b in -0.2, -3, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 1032 = 941 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 4.2, 2\/3, -0.4.\nAnswer: -75, -0.4, 2\/3, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 27 - 1149 = 0. Which is the closest to t? (a) 1\/2 (b) 2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/311 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**3 - 7*m**2 + 9*m - 1. Let p(s) = -13*s**3 - 13*s**2 + 19*s - 2. Let q(y) = -5*n(y) + 3*p(y). What is the second derivative of q(d) wrt d?\nAnswer: -24*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -539 = -539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13597\/1368 + -11\/171. What is the common denominator of -45\/11 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12197328?\nAnswer: 2, 3, 11, 13, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/4*f**3 - 75\/2 + 20*f**2 + 65\/4*f = 0 for f.\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a + 1. Let d be m(-1). Let g = -792\/19 - -3884\/95. What is the third smallest value in d, g, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/30*(-650)\/(-78).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22676.\nAnswer: 2, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -58?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 4, r: 1, a: 2}. Give prob of picking 2 r and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196b (base 12) to base 2.\nAnswer: -110000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4*w + 3. Let m be u(4). Suppose 2*l - 3*k - k = 0, -l = m*k. Let f be (-1)\/2 - 13\/(-2). Solve 5*b = -5*o, 4*o = -2*b - f - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(10\/8)*1. Suppose 0 = 5*q + 5 + 10. Let o(b) = b**2 - 3*b. Let z(m) be the first derivative of 2*m**3\/3 - 3*m**2\/2 + 7403. What is f*o(a) + q*z(a)?\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -3025\nAnswer: 2117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2 - 17, 4*p = 2*c - 6. Suppose -4*t + p*t = -20. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 106 - 18*z - 17*z + 34*z - 96. Determine k(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012 (base 3) in base 13?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((14 - 18) + -36)*(-6 + 4). Solve z + 2*q - 95 = -k, 20 = 5*z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1584) + 0 + (sqrt(1584) + -2)*-3)**2 - ((-4*sqrt(121))\/sqrt(11) - (6*-6*sqrt(11) - sqrt(11)))**2.\nAnswer: -5562 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*i + 6711 = 6762*i + 59*i - 39417 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 + -41. What is the highest common divisor of 1024 and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8789.028km to nanometers.\nAnswer: 8789028000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3591841.4 rounded to the nearest one thousand?\nAnswer: -3592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.5, -1\/4, -182 in descending order.\nAnswer: -1\/4, -2\/7, -0.5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -2 (c) -2\/3 (d) 4 (e) 205\/936 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 57 + 4*m**2 + 5*m**2 + 57.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 560*p**2 + 75772*p\/3 - 48272.\nAnswer: -(p - 42)*(p - 2)*(p + 1724)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13663 or -13662?\nAnswer: -13662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/8330*49)\/((-8)\/(-34)))\/(2\/(-144)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzzzzzzzzzzzzzzzuz. Give prob of picking 1 u and 1 z.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -21, 0.1, 1, 80\/57, -0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -39. Let n = 74 - a. Suppose -4*m + n = -2*m + 4*g, -3*m + 52 = -2*g. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 14. Let a be r(0). Let z = a - -18. What is the second derivative of -w**5 - 14*w**2 + 14*w**2 - z*w**5 - w wrt w?\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/4 - 7 - (-8 + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1344, 1334, 1324, 1314?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.576153*8.\nAnswer: 12.609224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (-5 - -8) + -11 + 3346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**5\/120 - d**4\/12 - 5*d**3\/3 + 3. Let i(a) be the third derivative of g(a). Determine i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20917 - 1819781\/87. What is the fifth biggest value in t, 1\/3, -5, 1, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -144*j**2 + 30*j - 25. Let c(g) = -9*g**2 - g - 5. What is a(z) - 5*c(z)?\nAnswer: -99*z**2 + 35*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -44. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 + 6*z - 2. Let q = -2554 + 2557. Let i(f) = -4*f**2 + 5*f - 3. What is q*i(w) - 2*p(w)?\nAnswer: -2*w**2 + 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 2. Let k(w) = 7*w**3 - w**2 - 2*w + 1. Let u be k(1). Let c(p) = -5*p - 2. Give u*c(b) + 6*z(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -13, -0.4, -18, -12, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 3*s**6\/20 + 7*s**5\/15 - 36*s**2. What is the third derivative of i(w) wrt w?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 1)*(-5 + 2 + 1) - 3 + 3 + 2)*(-6861*k**3 - 41*k**2 + 10*k**2 - 2420*k**3 + 31*k**2) in the form w + y*k + n*k**2 + m*k**3 and give m.\nAnswer: -37124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592661, 1185315, 1777969, 2370623?\nAnswer: 2963277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538 or 536?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 1, p: 1, k: 11, y: 1, u: 1}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -388, -587, -786, -985, -1184?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*1\/(-3))\/(12\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5035 by 192273.\nAnswer: 5035\/192273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 4 (c) 3\/7 (d) -271\/251 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400553 (base 8) in base 3?\nAnswer: -2201021021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*j**2)*(3 - 6 - 2 + (4 + 4 - 6)*(-2 + 2 + 2))*(9 - 5 + 16)*(-1 + 2 + 3).\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in -2\/13, 1\/7, -0.0416?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 + 1\/20*p**6 + 1\/6*p**3 + 0*p + 7*p**2 + 13\/72*p**4 + 1\/90*p**7 + 1\/1008*p**8 + 11\/90*p**5. Let h(d) = 0. What is d?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 83*h + 8767. Let a be k(-105). Let c be (1 + -3 - -3) + 38. Calculate the highest common factor of c and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-9\/8)*a*(a\/(a\/a**(-3)))\/a*a\/(a\/((a*(a**4\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032811209 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**2*v))**(-41)\/(((v\/((v*v**6)\/v))\/v)\/v**(1\/5)) assuming v is positive.\nAnswer: v**(646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.06 - 0.66. Sort w, -8\/9, -2 in ascending order.\nAnswer: -2, -8\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197742 is divided by 65907.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:21 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 999, 4010, 9029, 16056, 25091?\nAnswer: 36134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 12*g + 23. Let l be z(13). Suppose -4*n + 7 = -5. Let p(x) = 0*x**3 - x**n + 9*x**2 - l*x**2 - 3 + x. Calculate p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3403 + 2?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1 - (-3)\/(-3)). Suppose -f - 5 = -i*f. Solve 3*p = 3*x - 21, -f*x + 5*p + 26 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -939 + 937. Let m = 1.3 + -1.4. Let q be 4 - 1 - 10\/4. Which is the closest to g? (a) -0.3 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**2 + 9130*g + 11583.\nAnswer: -2*g + 9130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -30 - (8 - -18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1118 and 116769166?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*z + 3048 = 0, -25*z = 4*l - 24*z - 4064. Solve 0 = 1006*i - l*i - 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide (-128)\/112 + 2 - ((-759120)\/(-28))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64422 by 7158.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + 1)\/((-93)\/62) - -7. Which is greater: y or 2\/3569?\nAnswer: 2\/3569","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1813.413 + -1.0069.\nAnswer: -1814.4199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let c(g) = 15*g + 18. Suppose -8 + 2 = 6*v. Determine v*c(j) + 18*r(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/14, 1, 0.53 in increasing order.\nAnswer: -2, 3\/14, 0.53, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5*11)*-6.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*f - 33*f - h + 6, 4*f - 6 = -5*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-39)*4\/(-14). Put 3, -2\/5, g, 1\/7 in decreasing order.\nAnswer: 3, 1\/7, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36760 and -3.\nAnswer: 36757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) - 3\/(-9). Which is bigger: -2\/49 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224134926 - 0.2022?\nAnswer: -224134926.2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. Suppose 35 = x*m - 5*r, -42 = -5*m + 4*r - 9. Let a = m - 5. Are a and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551798938857 minus -0.8?\nAnswer: -551798938856.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 800.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4790, 4709, 4566, 4355, 4070?\nAnswer: 3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a3a1 (base 14) to base 8\nAnswer: -67011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 3, x: 1}. What is prob of picking 3 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 102. What is the highest common divisor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 5*y + 2. Let v be p(2). Suppose 2*h = v*h. Solve -3*j + 6*j = h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 3. Let q(a) = a - 1. Let o(w) = 3*p(w) + 5*q(w). Let i be o(3). Let t be (6\/12)\/(1\/i). What is the third biggest value in 2, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1*(0 + -1). Suppose -4 + 16 = 3*q. Suppose q*x = l, 5*o + x - 20 = -x. Solve -o*k - 2*c + 0 = 6, 5*k - 3*c + 13 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**2 - 19*c - 7. Let j(x) = 4*x**2 + 10*x + 4. Let r(n) = -5*j(n) - 3*y(n). Give r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 35413?\nAnswer: -35409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4392.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 218602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g**3 + g**2. Let j be u(1). Let n = -7 + j. Suppose -3*r + 13 = 2*z + 1, 0 = 2*z + n*r - 8. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000966 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/20 + 7*x**4\/6 + 23*x**3\/3 + 2*x**2 + 134*x. Let w be g(-5). Sort -8, 2, w in descending order.\nAnswer: 2, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17805313 and 17361?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9621770 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 8. Let g be y(-7). Let h be (1 - -1)\/g + 4. Suppose 4*q - 46 = h*q. Calculate the remainder when q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2901 = -31*g + 2498 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 - 2*y - 4. Let w(p) = -6*p**2 - 2*p - 3. Calculate 3*d(s) - 4*w(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(330)*1)\/sqrt(6) + 1*sqrt(3520) + sqrt(3520))\/(sqrt(15)\/(sqrt(6)\/sqrt(2)) + sqrt(5) + sqrt(45)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: 3179\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139395520.\nAnswer: 2, 5, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111011001000001 (base 2) in base 15?\nAnswer: 1d5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -941399*h**6 - 1128027*h**2.\nAnswer: -112967880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 14. Suppose -2*u + 2 = -4. Put -2, c, u in ascending order.\nAnswer: -2, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1510 - 515*a - 1510 + 4706*a to the form i + v*a and give v.\nAnswer: 4191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*b + 891280, -34*b - 3*z = -30*b - 891310. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-5)\/((-45)\/(-24)). Let s = -3.2 + -0.8. What is the second biggest value in -0.3, s, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 120. Calculate the remainder when 2\/6 + 285\/9 is divided by k\/(-2)*(-8)\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f - 12. Let t(j) = -j**3 + 11*j**2 + 22*j + 64. Let q be t(13). Calculate the greatest common factor of f and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283964.7 rounded to the nearest 1000?\nAnswer: -284000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -46826 + 46628 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 5*r - 5*y, -28*y + 186 = 2*r - 24*y. Suppose r*s - 2520 = 86*s. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 31*u - 29. Let k be n(30). Let v(d) = 9*d + 1. Let h be v(1). Let f = h + -9. Are k and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.53 + -0.33. Which is the second biggest value? (a) -2 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 2*sqrt(11) + -3 - 4*(1*sqrt(704))**2)*2.\nAnswer: -5628 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/30 + k**3\/2 - k**2. Let l = -500605 + 500601. Let x(f) = -4*f**3 + 3. What is l*x(c) + 5*h(c)?\nAnswer: -4*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/37)\/(o*o*o**(-3)*o) assuming o is positive.\nAnswer: o**(2\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 + 286.53. Let x = i - -2.77. What is x rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 - 129. Suppose 421 = 3*d + z. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1421786094 and -34.\nAnswer: 1421786060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5925, 6430, 6923, 7398, 7849, 8270?\n\"Answer: -k**3 + 512*k + 5414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 140, -5\/4 in decreasing order.\nAnswer: 140, -0.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(1400) + sqrt(1400)*-2 - sqrt(1400)))\/((sqrt(242) - (sqrt(242) - sqrt(242)*2 - sqrt(242)) - sqrt(242)) + sqrt(242)))**2*1.\nAnswer: 343\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*((-9*h - 2*h + 3*h)*(3 - 3*h - 3) + (3*h - 3*h - 2*h)*(-4*h + h + 4*h)) as w*h + r + n*h**2 and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*a = -31*a - 2557 - 593 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 231077 = -231628 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2*v**3 - 19 + 13.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 0*g + 63 + 0*g**4 - 91\/5*g**5 - 1\/3*g**3 - 3\/2*g**2. What is the third derivative of s(l) wrt l?\nAnswer: -2184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215464.\nAnswer: 2, 23, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 23470 + 23106 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 8*w + 8. Suppose -1446*x + 9 = -1443*x. Determine m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -116?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85866767.\nAnswer: 7, 29, 60427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2198\/(-471)*(-9)\/(-6). Let l(o) = 2*o**2 + 7*o - 1. What is l(j)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Suppose x - 29 = -5*t, b = 4*t + t - 5*x. Solve -1 = -5*l - 2*h + t*h, l + 13 = 5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 - 157*w - 70. Let h be f(-31). Is -28\/3 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:02 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -7. Is 5\/11 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81045 not equal to 3419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4087 is divided by 781?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137 or 692\/5?\nAnswer: 692\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 33, 10 in decreasing order.\nAnswer: 33, 10, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -619?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 64*b**2 - 17*b - 7. Let r(g) = -g**2 + 16*g + 42. Let m be (-9)\/27 - ((-110)\/6)\/1. Let n be r(m). Is w(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83840.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(4752))\/(-5*sqrt(99)*4)*5.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**2*v*x - 48*t**2*v - 66957*t**2*x + 1353388*t*v*x - 4*t*v + 20*t*x wrt t?\nAnswer: 6*v*x - 96*v - 133914*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.6. Let z = -71 + 69.57. Let i = z - -0.43. Which is the closest to i? (a) 1 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q. Let m(s) = -169*s - 4. Determine m(v(j)).\nAnswer: 2197*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + -204840274265.\nAnswer: -204840274370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:32 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by 8.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-107)\/(-25)*(-5)\/6 and (20 - 39) + 8596\/462.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52628 bigger than -52589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + 2*p**4 - 2*p + 2*p**4 + 4*p**3 + 0*p**4 as w + d*p**3 + y*p + g*p**4 + n*p**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.26 - -25.26. Let i(r) = r - 5. Let z be i(5). Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.107895 and 0.\nAnswer: 0.107895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 210 = 3*m, -2*m - 2 = -3*m. Let u = j - -87. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34533*j**2 - 138124*j + 32.\nAnswer: -(j + 4)*(34533*j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143957182513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*k = 3*k + 83, k + 77 = 2*m. Calculate the remainder when 181 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 1 (c) -0.408 (d) 0 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3410*i - 6833*i + 3416*i. Let h(m) = 523*m**2. Give a(h(c)).\nAnswer: -3661*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -3*a**5\/20 + 5*a**4\/24 - a**3\/6 - 25*a**2. Let h(d) = -13*d**2 + 7*d - 2. Calculate 5*h(n) - 7*p(n).\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -401\/8?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -10120000?\nAnswer: -10112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*k + 12, -5*k - 14 = -17*i + 14*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.11, -2, -3, 0.4, 4\/9, -21 in increasing order.\nAnswer: -21, -3, -2, 0.4, 4\/9, 1.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103\/7634 - -1517935\/5183486. Let g = -2\/97 + r. What is the closest to g in -4, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-48) + ((-15283)\/348)\/17)*96\/(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -223*z**3 - 6*z**2 - 20*z + 22. Let m(b) = b**2 - 4. Let j(y) = -d(y) - 6*m(y). What is the second derivative of j(v) wrt v?\nAnswer: 1338*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12562635 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1950290*1.\nAnswer: 1950290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 5*g**2 + 7*g - 31. Let q be t(5). Suppose -3*i + 4782 = 4*f, q*i - 5*f = 4639 + 1706. What are the prime factors of i?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 - ((-650)\/18)\/5. Suppose -8*l - l = -108. Let c be (l\/(-15))\/(3\/(210\/(-4))). Calculate the greatest common factor of f and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 4) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 501, 28\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*277.\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*i + 443 = 3*z, 5*z - 5*i = 610. What is the remainder when z is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1 - 1221\/(-726). Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -124.46 and 244.284.\nAnswer: 119.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 6*y + c - 7, -y = 4*c - 19. Let t be 4\/15*(-27)\/(-18). Find k such that -t*k + 2\/5*k**2 - 2\/5 + 2\/5*k**y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2401*q + 1548*q + 607*q + 1071*q - 112540 = 0 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1546\/(-6))\/(9\/(-27)). Suppose -3*w + x = 188. Let o = w - -98. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k, 3*r - 27 = 4*k - 1. Solve -r*p - w - 16 = -17, 0 = -w + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4718544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14887, -23066, -24509, -19210, -7163?\nAnswer: 11638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 - 2*q**2 - 3*q. Let p(l) = -14*l**3 - 7*l**2 - 8*l. Let n = -15484 + 15476. Determine n*w(s) + 3*p(s).\nAnswer: -2*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/(-12) + (-2)\/6. Let k be (8\/(-6))\/(m\/81). Suppose 2*s + 20 + 0 = -4*h, k = -s - 4*h. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10983000 = -1553*r + 1532*r. What is r rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m**5 + 65601*m**4 - 531948*m**3 + 494577*m**2 - 99414*m = 0. Calculate m.\nAnswer: -789, 0, 2\/7, 3\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = 5*p + 44*p + 430. Determine b so that 13\/4*b**2 - 3*b + 1\/4*b**4 + p - 3\/2*b**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (sqrt(720)*-3 - sqrt(720)) + sqrt(720) + 4 - ((sqrt(720) + 0)*-2 + 3 + -1 + sqrt(720))))**2.\nAnswer: 48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 27407473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8941369 + -1876660\nAnswer: -10818029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-42)\/(q\/q**(-24\/5))*q**29*q*q\/((q\/(q\/((q*(q*(q*(q**(-6\/13)*q)\/q*q*q)\/q)\/q)\/q)))\/q) assuming q is positive.\nAnswer: q**(-1127\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 906 - 860. Let r be ((-11)\/99 + k\/9)*1. Solve 5*d + 15 = -o - 10, -5*d - r*o = 45 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/88 and -4\/59.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 11, -3, -23, -49, -81, -119?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 1\/27*u**4 - 1\/27*u**3 + u + 0*u**2 + 0 - 1\/90*u**5. Determine s so that h(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110670 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - -293. Let x = a + -354. Is x != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2\/2 - 25. Let p(q) = 24*q. Let r(t) = -44*d(t) - 2*p(t). Let x(s) = s. Calculate r(x(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 7*m**4 + 4*m**4 + 13*m**2 + 2*m**4 - 7*m.\nAnswer: -m*(m - 1)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(25\/(-10)))\/(24\/18). Put z, -0.9, -1 in decreasing order.\nAnswer: -0.9, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/486 + (176\/72 - 2)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 303\nAnswer: -50\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.8709 nanometers to centimeters.\nAnswer: 0.00006878709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 3*s + s = q - 96, 110 = 5*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**3 + 2*u + 5. Let n(o) = 35*o**3 + 11*o + 26. Determine 2*n(d) - 11*z(d).\nAnswer: -7*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1165 and 11795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 <= 4555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -45, 8, -18 in increasing order.\nAnswer: -45, -18, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 524, 2\/9, 3\/94?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 3 - (-66)\/2. Let n = r - 41. Let y(p) = -p**3 - 11*p**2 - 2*p - 5. Is y(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1238, -4961, -11162, -19841, -30998, -44633, -60746?\n\"Answer: -1239*v**2 - 6*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 29*r + 25*r - 54*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 438, 929, 1550, 2367, 3446, 4853, 6654, 8915?\n\"Answer: 11*v**3 - v**2 + 417*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -52) + (-31 - (3 + -4) - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1)**2 + 1.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8481 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72206 is divided by 71159?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {b: 2, z: 2, a: 1, p: 1, n: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3420621 and 1422?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74651\/187 or 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*1*((-4)\/42)\/(41\/(-123))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11110100011 (base 2) to base 4\nAnswer: -132203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and -0.05.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 9) to base 15.\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -77*d + 119. Let c(g) = -14*g + 22. Calculate 28*c(i) - 5*o(i).\nAnswer: -7*i + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-847) + (-2)\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(117))\/(sqrt(27)\/sqrt(3)*3) + (1*sqrt(130)*2 + sqrt(130))\/(sqrt(80)\/(sqrt(24)\/sqrt(3))) + -2.\nAnswer: -2 + 13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*d - 110*d - 80*d - 120*d - 113*d + 542*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 9*q + 4. Let t be j(-9). What is the second derivative of 0*w**3 + 309*w + t*w**3 - 305*w wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1011111111001000010110?\nAnswer: -1011111111001000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19492)\/165682 - 2\/102*2391.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4 and -119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -145?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*k + 20, -5 = 3*k - 0*k - j. Let r(t) = 4*t + 1. Let x be r(1). Suppose 7 = 2*s + s - 2*c, -4*c - 11 = -x*s. Solve -s*h + 6 = -k*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 5. Let h(w) = -3*w + 14. Let f(m) = 47*m**2 + 190*m - 9. Let j be f(-4). Give j*g(t) + 6*h(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 8. Let r(u) = 2*u - 7. What is 4*j(x) - 6*r(x)?\nAnswer: 8*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9932.685nm in kilometers?\nAnswer: 0.000000009932685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 38) + (-10 - -6 - 6) + 20?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 500 - 434. Let d be ((-175 - 0) + 1)*-1. Let y = d - u. Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18236 and 11468?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + 6 - 30) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a. Let c be l(-1). Are -13 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224276 is divided by 280.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4304412 - -2?\nAnswer: -4304410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 840664*t**2 - 1097548*t wrt t.\nAnswer: 1681328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*y - 7 = 0, 3*r + 45*y + 5 = 44*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -63.3. Let f = -0.2 + 4.2. Which is the biggest value? (a) -5 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*c*o**2 - 2*c*o - 821*c + 569*o**3 + 6 wrt o?\nAnswer: -66*c + 3414*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 6 + 91. Suppose -1 = 4*r - j. Solve r*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4868*s**3*x**4 - 12*s**3 + 172*s + x wrt x?\nAnswer: 58416*s**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103 - 37?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82595911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*z + 4 = -0*x, 3*x - 2*z - 12 = 0. Suppose d + q = 7, x*d - 3 = 2*q - q. Suppose -48 = -h - d*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 12*x**2 - 2*x - 14. Let m be g(-12). Let p = m - -9. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 + 7*u**2)*(u + 1 - 1).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 35 = p, 0 = 2*a + 2*p - 166 + 128. Put 4, a, 0, 5, -110 in increasing order.\nAnswer: -110, 0, 4, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(27\/12 - 2). Suppose -2*t - 4*i = 0, t + 18*i = 19*i. Suppose t = 3*m + 5*v - 3784, 4*m = -f*v + v + 5027. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.655 rounded to zero decimal places?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -6)*3\/(-2) - -1318?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 19*d**2\/2 + 1. Calculate the remainder when i(1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t - 209 = -149 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 26 = 4*w, w + 4*w = -3*q + 36. Suppose -w*g = -2*g - 2*o - 18, 6 = 2*g - 4*o. Suppose 0 = -6*f - 3*f. Solve u - g + 1 = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22936\/3 + -7531. Let l = -116 + z. Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -57*l + 725. What is the remainder when r(10) is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -5, 1\/11, -17, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -7d9898a?\nAnswer: 7d98986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) - 8\/(-3). Suppose i*m - 2649577 = 6017972. Suppose 2*o + 27689183 = m. Round o to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 1.75 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 - 117*l**4\/2 - 95*l**3\/2 + 147*l**2\/2 + 91*l\/2 - 15 = 0. Calculate l.\nAnswer: -1, 1\/4, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + l + 4212, -5*h - l + 4218 = -0*l. Suppose -2*d + 5*u = -h, -d + 2*u = -475 + 55. Is 46 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 2 - (-15 - (-103 + 54))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 - 2*p**2 + 0*p**3 + 0*p - 1\/90*p**5 + 1\/360*p**6 + 1\/72*p**4. Factor d(t).\nAnswer: t*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**3 + 3*x**2 - 18*x + 12. Let b(h) = -6*h**3 - h**2 + 7*h - 5. Let m(s) = -12*b(s) - 5*w(s). Factor m(f).\nAnswer: -3*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1374 and 201291.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209 + 214. Let h = -1 - 4. What is the smallest value in -0.1, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*g**2 - 37*g**2 + 91*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q**3 + 28*q**3 + 28*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850245398.\nAnswer: 2, 53, 229, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-3)\/10 - (-13)\/10*10281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110001111111 (base 2) in base 6?\nAnswer: -1215131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8707\/(-1339))\/(14\/(-8)). Let u = t - 2\/1339. Let d = 15 - -5. What is the common denominator of d and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + 6 + 1 - 11 - 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52996 (b) 15.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257 - 252. Solve 5*j - 15 - l = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 5 + 5)*(-1 + 1 + 2*k) - 3*k + 3*k + 2*k)*(-3 - 1 + 1) to the form c*k + o and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (14315\/315 - 50)*9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 - -26. Is 151 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*h - 6, 0 = s + h + 3 - 2. Let x = 4 - 2. Suppose -3*p = 3*o - 9, -2*p + x*o = -p. What is the lowest common multiple of s and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 868 + -852. Suppose -n*d + 12575 = -737. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2941*b - 23556. Calculate i(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xygg when four letters picked without replacement from ggxyq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*i = -22 - 6, 5*u - i + 24 = 0. What is the tens digit of (98\/(-4) - (-3)\/(-3))*u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1 + 4 + 3016\/(-468).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745354 divided by 3?\nAnswer: -915118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a minute in seconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1384*f**2 + 7895*f - 4870. Determine a(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 76 = 56. What is the closest to -2\/7 in h, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 13. Calculate the remainder when w(-6) is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1966.662 and 0.32?\nAnswer: 1966.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -8 (c) 1\/10 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 6. Let l = w + -9.9. Is l greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.25 + -86.25. Let i = 81 + u. What is the smallest value in -1, 3, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + 82. Let q = 252 + -247. Suppose -4*b = v - 49, n = q*v + 5*b - 0*b. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 5 - 3 - 1 + 5. Let f be i(-2). Solve 14 = 3*r - 2*v, -6*r + f*r = 4*v - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 3 - 11*u + 13*u**2 + 4 + 9*u + 2*u**3 to s + l*u + a*u**3 + c*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4777, 4773, 4761, 4741?\n\"Answer: -4*z**2 + 8*z + 4773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*o = -27*o - 384 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1967*q - 3*q**2 + q**2 - 1967*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = -5*g - 5*v + 2*v, 131 = -3*g + 4*v for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109190790 by 7279386.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 7*f + 7. Suppose -3*d = 3*n - 48, 5*n + 0*n - 80 = 2*d. What is the remainder when c(-5) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -582716, -1165430, -1748144?\n\"Answer: -582714*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by (-184)\/(-7) + (-12)\/42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -5) + (-2 + 4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**5 + j**3 + j**2. Let v(l) = 11*l**5 - 7*l**3 - 3*l**2. Let o(k) = 14*s(k) + 2*v(k). Find the third derivative of o(t) wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from wwiwwi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-498)\/(-18)*(-3)\/8 and 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {q: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 13*n**2 + 12*n - 14. Let l be ((-19)\/(-38))\/(2\/48). Let j be f(l). Let z(b) = -3*b - 8. Is 25 a factor of z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a decade in months?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 8*y - 5. Let v(s) = s**3 + 17*s**2 - 21*s - 48. Let a be v(-18). Suppose a*p + 16 = -14. Give l(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let t = -1 - j. Suppose -3*q - 10 + 4 = t. Put q, -1, -5 in descending order.\nAnswer: -1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 8341.\nAnswer: 7\/8341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*s - 2*s**3 + 1113*s + 0*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssod when four letters picked without replacement from soooododsososd.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29. Which is the closest to o? (a) 4\/3 (b) 3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 0 - 7 + 28*o**2 + 7.\nAnswer: 28*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h + 3. Let u be k(1). What is the greatest common factor of u and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237688421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3288)\/(-1152) - (-21)\/(-112).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 826*v**2 + 1027*v**2 - 24 + 13 to n + s*v**2 + o*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:30 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*x - 12, 4*u - 2*x - 1 = -21. Suppose -3*y = -4*k - 29, 4*y = 4*k + 34 - 2. Sort -3, y, u.\nAnswer: u, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.3, 0.05, -39, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2545*i**3 - 5*i**2 - 6*i - 846?\nAnswer: -15270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2.6675825?\nAnswer: -2.3324175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -70.68. Let b = -2.32 - r. Which is bigger: b or 5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 17 = -3*y - 12*g, -g + 11 = 2*y. Let q be 2*1\/(-4)*0. Solve -2*t - a = -4, -y*t + t + 3*a + 28 = q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42771 + 129218. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**3 - 805*y**2 + 42160*y - 711140 = 0.\nAnswer: 37, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8292.97ug?\nAnswer: 0.00829297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -190\/17?\nAnswer: -190\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80736317.\nAnswer: 167, 181, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(1 + -2) + -2. Let t be v\/(-2) - (-143 + -4). Let q = t - 26. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924856 and 12947984?\nAnswer: 12947984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7216704 and 150348?\nAnswer: 7216704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -527490 (base 10) to base 2\nAnswer: -10000000110010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3893372766 to the nearest integer?\nAnswer: 62397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11001110110110010101101?\nAnswer: -11001110110110010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 30*d**2 + 29*d - 113. Let p be a(-30). Let f = p - -1400. What are the prime factors of f?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103220 - -202?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0332 and -0.5.\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*n + 27. Let v be ((-2)\/4)\/((-14)\/(-840)*-5). Solve 5*y - n = -v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 484*d - 1061. Determine k(4).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-9 - -1) + 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/(6\/(-9)). Let p be ((-20)\/l)\/((-3)\/(-12)). Suppose 8*o - p = 3*o. Calculate the highest common factor of o and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7936173 rounded to three dps?\nAnswer: 0.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 13, 29 in increasing order.\nAnswer: -2, 3, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3093725 to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/20 - 5*v**3 + v**2. Differentiate i(b) with respect to b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -0.057. Let u = l + -3.643. Put -1\/9, -1, -5, u in ascending order.\nAnswer: -5, u, -1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362630672 divided by -22347?\nAnswer: -60976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-1254)\/(-5))\/(-6*(-13)\/1300)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, b: 2}. Give prob of picking 2 q.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003548232197 to 5 dps.\nAnswer: 0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270462 is divided by 27043.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, z: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w**3 + 40*w**3 + 36*w**3 + 0*w**3.\nAnswer: 151*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -5\/6*x**3 + 0 + 1\/12*x**4 + 0*x**5 - 1\/180*x**6 - 2*x**2 + 0*x. Let m(u) be the first derivative of l(u). Factor m(t).\nAnswer: -2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90c0 - 776?\nAnswer: 8849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 14*c**2 - 12*c + 19. What is p(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.187 * -0.4\nAnswer: 0.0748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256 - 251. Calculate the common denominator of -109\/20 and -2 + 1 - (856\/180 - d).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -591 + 3?\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8267 - -8491. Solve -269 = 15*n - p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 75898983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8013445 - 1?\nAnswer: 8013444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 8\/(-9)*1224\/(-1904)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199796649 to the nearest integer?\nAnswer: 14135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99.3128 + -121.312648. Let w = -22 - u. What is w rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 7*l + 6. Calculate p(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose 19 - z = -2*y. Is (-160)\/(-6) + 6\/y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 16 = -x. Solve x = 3*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -101 + (-7 - -125)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131564.2149 + -131571. Let d = 0.1449 - v. Let f = d + -7. What is f rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208 + 211. Solve b = 2*y + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821818271 take away 0.133?\nAnswer: 1821818270.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -25 (b) 5.04 (c) -0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 735336*f. Let j be y(1). Suppose 18 = 5*d + 3, -3*c - 2*d = -j. Let h = c + -111110. What is h rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -16. Suppose 12 = 6*k - 3*k. What is the second derivative of 5*v - 6*v - q*v + k*v**5 wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(sqrt(484) - sqrt(484)*2))\/((2*sqrt(200) + sqrt(200))*1 - sqrt(200)))**2.\nAnswer: 1\/6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 + 151. Solve 3*o**2 - 5*o**2 + 2 - 204*o**4 - 19*o**2 - f - 25*o - 44*o + 436*o**3 = 0.\nAnswer: -1\/3, -1\/34, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {r: 3, q: 1, g: 2, e: 10, c: 3}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l**(-2\/9)*l)\/((l\/(l**6\/l))\/l**(2\/13)))\/(((l\/l**(1\/3))\/l*l*l*l)**28*(l**(-2\/7))**(-1\/77)) assuming l is positive.\nAnswer: l**(-4713250\/63063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1376a (base 15) to base 10\nAnswer: 62425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 854915.99936 - 855051. Let p = 135 + c. What is p rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 0 = -18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33469 by 2.\nAnswer: -33469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:27 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 c when three letters picked without replacement from ggccgcgkgwcgkggg.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/69 in -5, -1\/4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m. Let o(b) = b**2 - 8*b + 12. Let j be o(5). Let x(c) = 4*c**2 - 5*c. What is j*p(n) - x(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71291 or 2?\nAnswer: -71291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16405 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/299?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -14 - -22 - 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 - 4. Let c(v) = v**2 + 1. Suppose 10 - 12 = -2*y. Give y*u(a) + 4*c(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 32*b + 212. Calculate p(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4865 = 212*l + 1685. Let f(s) be the first derivative of s**2 - 1\/3*s**3 + 8*s + l. Solve f(x) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + (-52)\/(-16). Let c be (-1)\/6 + (-117861)\/(-306). Suppose -373 = 4*r - c. What is the highest common divisor of b and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 12. Is (-3 + 31\/(-2))*c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 2378.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/9727940 and -45\/5350367.\nAnswer: 107007340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 18*d**2 + 1971*d - 42754. What is j(21)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Suppose 0*k + 5*c = 4*k + 117, v*c = 3*k + 89. Round k to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 1045. Let r(k) = -k + 1042. Determine 5*r(g) - 6*y(g).\nAnswer: g - 1060","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165436 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 54 = -12*p. Let a(h) = 0 + 0 + 8*h + p*h. Let g(i) = -4*i. Determine g(a(c)).\nAnswer: -68*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + r = -3, -2*s - 3*s + 2*r = -6. Let q = s - -2. Solve 2*h - q = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 51*w - 253. Let j(z) = -z + 26. What is h(p) + 13*j(p)?\nAnswer: 38*p + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 2)*(-8 - -1). Let j = 17 - z. Let w(q) = -q**2 - 4. Let n(i) = i**2 + 5. Calculate j*n(h) - 5*w(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38158.\nAnswer: 2, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -128314?\nAnswer: -128311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1298*g*z + 3*g wrt z?\nAnswer: -1298*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 55*d - 178. Let g be w(70). Which is bigger: g or -1229?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6477 + 779*z**4 - 6477 + (-z - 5*z + 4*z)*(2*z**3 + 2*z**2 - 2*z**2).\nAnswer: 775*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 23171*o**3 + 0*o - o.\nAnswer: -23171*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/12 + 70*w. Let l(a) = -3*a**2 - 5*a. Give l(g(b)).\nAnswer: -3*b**4 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1)\/q))\/q)**(-1\/22)\/(q**(2\/3)\/q**5)*((q\/(q*q**(-1))*q)\/q)**(-1\/2)*q*q**(-1)*q**(-4\/9)\/q assuming q is positive.\nAnswer: q**(455\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186419832916 - 4.2.\nAnswer: 186419832911.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7100, 7282, 7528, 7868, 8332, 8950, 9752?\n\"Answer: 5*m**3 + 2*m**2 + 141*m + 6952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + h**3 + h**3)*(-96 - 55*h + 16*h + 36*h).\nAnswer: 3*h**4 + 96*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -1\/3*b**4 + 0 + b**2 - 4\/3*b**3 - 1\/30*b**5 + b. Let i(n) be the first derivative of o(n). Factor i(p).\nAnswer: -2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. Let t = s - -1. Suppose -3*m - m + 2 = 5*p, 0 = 2*m + 3*p - 2. Put 1, t, m in decreasing order.\nAnswer: 1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/11 - 184*l**2\/11 + 186*l\/11 = 0 for l.\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194145\/1969 - -104\/179. Let q = w - 99. What is the nearest to 1 in q, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q + 7. Let t(l) = -10*l - 11. Let n(w) = -3*t(w) - 4*v(w). Calculate n(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 45*v + 1835. Calculate u(31).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19073971 * 5.\nAnswer: -95369855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/2)\/(-6))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4119, 4120, 4121, 4122, 4123?\nAnswer: 4124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5267 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:57 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -7*d**3\/6 - 5*d**2\/2 - 3*d. Let c = 0 + -4. Calculate the remainder when 67 is divided by h(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-10 - (0 + -7)) + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + -0.036. Let t = o - 0.013967. What is t rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - 5. Let f = 22 - r. Is 15 a factor of 2\/(-1) - (0 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -640, 4 in decreasing order.\nAnswer: 4, -1, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8463 + 6897 = 15*k. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-26)\/n*(n\/(n\/(n*n**12*n)*n))\/n*n*n**14\/n*n**(-8)\/n assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 3. Let j be m(5). Suppose 6*u = y + 5*u - 4, -3*u + 2 = 4*y. Is 12 a factor of y\/j + (-145)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21067 + 4*u**3 - 14*u + 14*u**3 - 21063 + u**2 + 42120 to the form g*u + a*u**2 + t*u**3 + k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160528 - 95063. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.59 + -515.59. Let z = 512 + v. Which is the third biggest value? (a) 12\/5 (b) -3\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, d: 4, l: 7}. Give prob of picking 2 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 18 = c + 3*x, -2*c - 5*x + 3 = 0. Let j be c + -4 + 1 + -1. Suppose 63 = -j*q + 533. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let k(h) = -368*h**2. Determine t(k(a)).\nAnswer: -135424*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -13 - 2. Solve 5 = -n*k + 10*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrrr when four letters picked without replacement from nnnrrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let s(x) = 1. Let y(n) = -23*n + 1. Let r(u) = -4*s(u) - y(u). Let f(h) = -11*h + 2. Let a(m) = 5*f(m) + 2*r(m). Give a(i(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*q - 403, 3*q - 92 = -z + 2*q. Suppose -3*g = -z - 260. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84837 - 1443927\/17. Is j > -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 + 4 = 0. Suppose c*k = -2*k + 25. Suppose k*g - 108 = 2*t - 33, -g - 2*t + 27 = 0. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 0.46 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439256.6 rounded to the nearest one thousand?\nAnswer: 439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j - 496. Calculate the smallest common multiple of 20 and f(56).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134591.\nAnswer: 134591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/18 - (-2)\/(-3). Let s = -1453\/9 + 162. Let o = s + x. Sort 0, 3, o.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**3\/3 + 11*q**2\/2 + 27*q - 59. Let v be r(-8). Let k(i) = -i**3 + 3*i**2 + 2*i - 3. Determine k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -25359093.313.\nAnswer: -25359092.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10127 + 0?\nAnswer: -10127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 minus 72.97443?\nAnswer: -73.04143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34b (base 14) to base 7\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 38 - 32) + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2361*u - 1697*u + 206958 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2.5, -17930\/21, 2\/5, 0.1?\nAnswer: -17930\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0774149391 rounded to five dps?\nAnswer: -0.07741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-6) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2199495259*h**2 - 5*h**3 + 36*h**3 + 2199495260*h**2.\nAnswer: 31*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2)\/(2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/50356193 or 0?\nAnswer: -20\/50356193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.15. Let f = -0.85 + 0.7. Let c = f - g. Which is greater: c or -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.645339 days in milliseconds?\nAnswer: 487757289.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2111605818 + -160.7888381182. Let j = y - -161. Round j to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -31 - 7) + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -82*l**2. Let p(d) = 471*d. Give w(p(f)).\nAnswer: -18190962*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*g + 64 = 5*h, 2*h = -g + 36. Let z = -10 + h. What is the remainder when 10 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1708938 centimeters?\nAnswer: 0.000001708938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 34. Let y = f - -7. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 2674393?\nAnswer: 29418323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4 - 168*c**3 - 2204*c**2 + 4920*c - 2546 = 0?\nAnswer: -67, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -k + 25 - 11, 3*s = 3*k + 3. Suppose 3*r + s*w = 64, -4*r + 4*w + 82 = r. Solve 7*y = -r - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 45 = 6*u. Let p = u - -13. Suppose h = 2*j - 13, -j - p*h + 36 = 2*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -7, -34, -81, -154?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*p**2 + 6*p - 10*p**2 + p - 1 + p + 5*p to d + u*p**2 + o*p and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146*d*u + 191*d - 4*u**4 + 6 wrt u?\nAnswer: 146*d - 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/507 and 56\/2853.\nAnswer: 482157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 296*h**2. Let p(f) = 2*f. Determine m(p(z)).\nAnswer: 1184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*o = -26, 0 = 5*s - 2*o - 59 - 0. Let u = -5 + s. Calculate the lowest common multiple of u and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36520\/107219 - 2\/2023. Is 0 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(1176) - (sqrt(1176) - sqrt(1176)*-2)))\/(sqrt(32)\/sqrt(4)*6) + ((sqrt(384) + (sqrt(384) - sqrt(384)*-2))\/(sqrt(512)*-2))**2.\nAnswer: 3 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7516463287 - 106?\nAnswer: 7516463181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.95 - 23. Let m = 0.05 + p. Let w = -4.9 + 5. What is the nearest to 0 in -1\/3, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 13 = -88. Solve y*g + 7 = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608999930 rounded to the nearest one hundred thousand?\nAnswer: -609000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)*(-320)\/320. Find u, given that d*u**2 + 0*u - 14\/3*u**4 + 0 + 10\/3*u**5 + 4\/3*u**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/9 - 881*h + 107320 = 0.\nAnswer: -8049, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:27 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2. Let k(j) = 0*j**2 + 2*j**2 - 10*j**2 + j**2. Give k(q(i)).\nAnswer: -252*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 724706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(-24)\/16. Let f(k) = -k - 1. Let n(u) = 2*u**2 - 3*u - 5. Determine b*n(h) + f(h).\nAnswer: -2*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2. Let h(c) = 20937035*c. Determine o(h(m)).\nAnswer: -1315078303773675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 + 0.6. Let n = 155.06 + -153. Let c = h - n. What is the nearest to c in -3, -0.4, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.48 (b) -3 (c) 0.1 (d) -2\/11 (e) 5 (f) -2\/165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 80240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 3*q**2 - 4*q + 4. Let b be o(-4). Let r = -1 + b. Suppose -r*z + 5 = -7. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 + -116 - (-25 + (-11 + -2 - (34 + -41)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/40 + (-8)\/(-20). Solve -4*k - x = 3*o - 12, o + k - 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccd when three letters picked without replacement from dcdcdccdcccccc?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*d + 2*d - 225 = 0, -4*w + 300 = -5*d. Let q = 80 - w. What is the remainder when 11 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.1 - 55. What is m rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -61.\nAnswer: -210\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 4*u**2 + u - 2. Let n be x(4). Suppose -w - 2 = c + n, -5*w = -4*c + 20. Let h = 30 - 27. Solve c = -2*k + 10, h*m + 4*k - 14 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -750930634549?\nAnswer: -750930634548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.94921 decades to years.\nAnswer: 159.4921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3032410 - -11401?\nAnswer: -3021004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p + 56*p = -48609. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 3 (b) 22 (c) 6 (d) -1\/9 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1650*p + 17713. What is o(-9)?\nAnswer: 2863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -1, -9, -37, -91, -177?\n\"Answer: -d**3 - d**2 + 16*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87006*r**2 - 177474*r**2 + 90475*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.1 (b) 6 (c) -0.2 (d) 114\/7 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -2*g - 10*g + 6*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-10 + 10\/(-25))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 3*g + 182. Suppose 0 = 2*t + 3*j - 32, t + 6*j = 2*j + g. Suppose t*o + 242 = 12*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64398109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b**2. Let d be z(-1). Let l be (-34)\/(-3) - d\/(-30). Suppose 11*m - l*m = -27. What is the greatest common divisor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = j + 43, 5*h - 157 = 3*j. Let l = j - -139. What is the highest common divisor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13619739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 24*h**3 - 75*h - 6*h**2 - 4*h**4 + 0*h + 48 + 23*h + 18*h**2 - 28*h = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 4. Suppose 20 = 2*m - 4*f, -5*m - 4*f - 5 = 1. Let s(l) be the first derivative of -1 - 1\/2*l**2 - l. Calculate m*g(b) + 10*s(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 22*g. Let j(o) = -5*o + 5. Let s be j(3). Let k be 5\/s + 99\/(-6). List the prime factors of d(k).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/13))\/i)**(-1\/3) assuming i is positive.\nAnswer: i**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 7. Suppose -3*b = 2*b - 35. Is r(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12102*f**3 + 5*f**2 - 13*f - 16. Is 17 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:43 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - t**2 + 0*t**2)*(5*t + 6*t - 6*t) - 3*t**3 - 3*t**3 + 4*t**3 + (-1 + 2 - 5)*(3 - 3 - 6)*(3*t**3 - 6*t**3 + 2*t**3).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-30) + 7154\/(-140))\/(30\/(-20))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + (-5 - (-5 - (-12 + 9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 154 + 54 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258837802.793 + 3.\nAnswer: -258837799.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/21 + 7918*b**4\/21 - 10196*b**3\/3 + 206288*b**2\/21 - 63488*b\/7 = 0.\nAnswer: -3968, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 4, 1, 4\/7, -102, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 114?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000355 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1 + 1 + 3 + 2*h**3 - 1 - 4*h + 3*h**2. Suppose 51 = -5*k + 61. Let t be j(k). Solve -5*c = q - 0*c - 6, 4*q - 3*c + t = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 3. Let s(h) = -h**3 - 11*h**2 - h + 1. Let u be s(l). Let k(c) = 5*c**3 - 4*c**2 - 3. Let z be k(3). What is the highest common factor of z and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - (5 - (9 - (11 - 0) - 9 - -12)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*f**2 - 20*f**2 - 25*f**2 - 24*f**2 - 30*f**2 - 21*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/892575 and 59\/1685975.\nAnswer: 15173775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-36))\/l*l**(-2)\/l*l**36\/(l\/((l*l**(2\/37))\/l)) assuming l is positive.\nAnswer: l**(2518\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32831906?\nAnswer: 2, 16415953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9845, -7291, -3043, 2893, 10511, 19805, 30769, 43397?\nAnswer: 57683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 26. Determine z(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64441*z = 64480*z + 1443 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4590)\/13122)\/(2\/3) and -155\/126.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 - 6*t**2 - 4. Let w(o) = -15*o**3 + 29*o**2 + 21. Give -11*j(v) - 2*w(v).\nAnswer: -3*v**3 + 8*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1151, 5, 82, 30 in ascending order.\nAnswer: -1151, 0, 5, 30, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4636 - -17225. List the prime factors of y.\nAnswer: 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13446, 25562, 37678, 49794, 61910?\nAnswer: 74026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -108200 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/143 and 33\/7930.\nAnswer: 87230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {a: 2, y: 1, h: 1, u: 6, i: 2, m: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from {p: 2, a: 7, y: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*(-190)\/(-60))\/(4 - (-7)\/(-2)). Sort 4, -2, g, 7 in decreasing order.\nAnswer: g, 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-6*(-4)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011497427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -0*y. Suppose y*t = -2*a + 5*a + 19, -3*t = 5*a + 22. Let r = 3 + t. What is the lowest common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 3*d)*(2*d - 2*d - d)*(4 + 0 + 0)*(3 - 4 - 5).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from {u: 1, b: 3, g: 3, k: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -614 != -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30421799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 113*z - 874 = 122 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 66 - 51, 15 = 3*b + 3*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 1 + 1 - 3855171*v**2 + 2.\nAnswer: -3855171*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274 by -5.\nAnswer: -274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 + 112 = 71*k - 313 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.07605 + -2446\nAnswer: -2445.92395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 14. What is x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3611*j - 1572*j = -78358 + 31711 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g**2*q - 64102*g**2 + 49*g*q**4 wrt q.\nAnswer: 12*g**2 + 196*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -32*p. Let f = -25 - -24. Let q be w(f). Let d = -27 + q. Solve i + 2*k - d = 0, -6 = 4*i + 5*k - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -347*w + 5199. Let c be p(15). Let o(s) = 78*s**3 - s**2 - 2*s - 1. Let f be o(-1). Let u = c - f. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 387042 and 0.13.\nAnswer: 387042.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*p**5 - 185*p**5 + 74*p**5 - 2*p**5 + 4*p**5 - 3*p**5 + 5*p**5 - 3*p**5 - 3*p**5 + (2*p - 2*p + 2*p**2)*(-2*p**3 + 1 - 1).\nAnswer: -273*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - (220\/(-22) + 20). Let i = -3135\/13 + 241. Is i < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 182706615?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - 8*p - 6. Let v(c) = -2*c**2 + 3*c + 2. What is 4*i(z) + 11*v(z)?\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 9*g**2 - 7*g - 10. Determine j(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 + 7*n + 396. Let z(i) = 6*i**2 + 5*i + 269. Calculate -5*w(d) + 7*z(d).\nAnswer: 2*d**2 - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/(-26))\/((-2)\/((-16)\/(-3))). Which is smaller: 44\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1*0)\/(10\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5806709 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1442 and 5150?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 232 + 20 = 0. Let x = -50 + g. Solve -x*p - 12 + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 201? (a) 2\/13 (b) 7 (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*2\/(-4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, -5 in increasing order.\nAnswer: -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 6*r - 29*r - 83*r**3 + 45*r**3 + 34*r**3.\nAnswer: -4*r**3 - 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 665, -237, -1141, -2047, -2955, -3865?\n\"Answer: -j**2 - 899*j + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23187175 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-216) - (-1766105)\/(-616140)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 124041768 + 35241768 = 0. Round c to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1853, 1858, 1863, 1868, 1873, 1878?\nAnswer: 1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*g, -2*r + 25*g - 15 = 2*r + 38*g - 23*g + 1 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h + 0*h**3 - 2\/15*h**5 + 1\/6*h**4 - 9 - 2*h**2 + 1\/30*h**6. Let f(z) be the second derivative of g(z). Solve f(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1\/4 (b) -8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.3 - -8. Let f = h + 0.4. Let u = f - 0. Is u less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 + 3881639*x**2 + 140876673*x.\nAnswer: 6*x + 7763278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a5d6 + -1494?\nAnswer: 9142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6227936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-92)\/874 - (-11)\/(627\/120). Suppose -3 = -u - 2. Suppose 18 = 3*j - 6*j + l, -2*j + 2 = 4*l. Put j, u, x, 5 in ascending order.\nAnswer: j, u, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 + 10*d**3 - 26 + 15*d**2 + 35 - 14*d**2 in the form g*d + c*d**3 + f + m*d**2 + n*d**4 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 3. Let a be ((-2)\/(-6))\/(10\/6). Sort a, b, -0.1.\nAnswer: b, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 9*u - 47 = 0, -13*u = -3*p - 15*u - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*q - 439*q - 77 = -214*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 48 = 0. Calculate the remainder when 11 is divided by (-38)\/(-8) + (-12)\/z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8914\/5881 or 3?\nAnswer: 8914\/5881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 + 312. Let u be 1 - (f\/102 - (-2)\/(-4)). Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -x + 21, x = 68*r - 64*r - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/6 (b) 27\/5 (c) 1\/2 (d) 187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4306 is divided by 101.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-480)\/(-18))*4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((270\/15)\/216)\/(2\/(40\/45)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -5548 by -4.\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00740654 to five dps.\nAnswer: 0.00741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 + 11*x + 8. Let v be m(6). Suppose 3*j = -5*w - 6458 - 11126, -v*j - w - 11732 = 0. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 14 + 4. Let r(u) = -u**2 - 6*u + 3. Let k be r(-4). Suppose -t - k + 31 = 0. Calculate the lowest common multiple of v and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2035\/3293)\/(-55))\/(6\/6).\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19874 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.46?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 10 + (-1*30)\/(-5). Suppose -g + 2 + 0 = 0. Suppose 3*v + 3*d = 6, -g*v + 21 = -4*d - 1. Solve -v*w + i = 18, -w - 8*i = -3*i + f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 2*w**2 - 2. Let p be (-1)\/(2\/(-6)) - 1. What is the remainder when ((-17)\/3)\/(25\/(-75)) is divided by h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 3, w: 5, f: 1, q: 5, l: 3}. What is prob of picking 1 l and 1 q?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124\/3 + -41. Suppose -5*j + 2*s = -33 + 17, -2*s = j + 4. Which is the nearest to 0? (a) d (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835) - (sqrt(2835) - ((-4*sqrt(2835)*1 - sqrt(2835)) + sqrt(2835))))\/(-2*sqrt(700) + (sqrt(7) - sqrt(28)\/sqrt(4))*6))**2.\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130543990 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**3 + 3*r**2 - 4. Let v(p) = 3*p**3 + p**2 - 1. Let m = -652 - -654. Determine m*c(y) - 9*v(y).\nAnswer: -y**3 - 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 11. What is the lowest common multiple of (-152)\/(-10) - (-23)\/(-115) and i(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, n: 3, t: 4}. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/16*((-1)\/(-3) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*g - 2465, -r + 18*g + 1219 = 16*g. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**5\/5 - 776*s**4\/5 - 13500*s**3 - 978208*s**2\/5 - 419504*s + 628800 = 0.\nAnswer: -50, -15, -4, 1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Suppose 2*l - u*y - 179 = 0, -4*y + 3*y + 185 = 2*l. What is the tens digit of (39\/12 - 3)*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 3. Let f be r(7). Suppose f*j = j + 21. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6026815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2780560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 15*g + 22*g + 28*g - 4*g - 1.\nAnswer: 55*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-83 - -170) + -105)*(-2)\/((-12)\/(-5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 136*v**2 - 6*v - 5. Let d be m(-1). Let t = d - 77. Calculate the smallest common multiple of 36 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27689 (base 12) in base 3?\nAnswer: 2202210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6394 + 0.7394. What is the nearest to k in 1\/7, 2\/7, -31\/4, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 8*i**2 - 5*i + 18. Let m be a(4). Suppose 2*g = -u + 5*g + 2, 3*u = -g - 14. What is the fourth smallest value in m, u, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90727054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470208 (base 9) to base 6.\nAnswer: 10014525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.1. Let y = -486.5 + 486. Suppose -4*i - 1 = 11. Which is the closest to m? (a) i (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85706*o**2 + 85706*o**2 + 2*o - 2*o + 200*o**3.\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 73\/3 of a day?\nAnswer: 35040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 3*i - 4 - 5, n + 4*i - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6889516 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose 2*h = 6*h - 64. Let q = h - g. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286845 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-262)\/(-22) + 2\/22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 1 i when three letters picked without replacement from ciiig?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c**4\/2 - 1590*c**3 + 2643*c**2\/2 + 18006*c + 15120 = 0 for c.\nAnswer: -63, -40\/17, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*q**3*u**2 + 4*q**3 + 2*u**2 - 64*u wrt q.\nAnswer: 117*q**2*u**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -8*f + 3*f, 6 = 2*f. Suppose -7*b = -q*b - 8. Suppose 2*u = -b, -5*u + 306 = 5*v + 76. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/5 + 2264*o\/5 + 20214\/5 = 0.\nAnswer: -1123, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 4\/11*u**2 + 3*u - 1\/22*u**4 - 1\/3*u**3 + 0. Factor p(m).\nAnswer: -2*(m + 4)*(3*m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/7 + 19\/21. Let w = -32.36 - -32. Let t = w - -0.06. Put t, 3, o in ascending order.\nAnswer: t, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*s + 4*s. Let o = -6 + s. Let n(t) = 41*t**3 - 20*t**3 - 6 - 6*t + 9*t**o - 22*t**3. Calculate n(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*y = 5, -4*t + t + 1 = -y. Let j be 15\/20 + (-1)\/2. Factor 1\/4*c**5 - 3\/4*c**3 - 1\/2*c + t + j*c**4 - 5\/4*c**2.\nAnswer: c*(c - 2)*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 7 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/13 - 2\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1995*i**2 - 69*i - 14. Let t(d) = 3991*d**2 - 115*d - 25. What is 3*t(x) - 5*u(x)?\nAnswer: 1998*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405059.\nAnswer: 17, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 = -6. Suppose -d = y + 14. What is the tens digit of (-170)\/(-3) - y\/(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, and 1 z when three letters picked without replacement from gshgzsggz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 10, c: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 932415 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012509402 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(5324) + -3)*-3)**2.\nAnswer: -99792*sqrt(11) + 1740852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1054*g + 2151. Let h(x) = -361*x + 715. Let r(c) = -6*f(c) + 17*h(c). Calculate r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -619724, -619719, -619724, -619745, -619788, -619859?\nAnswer: -619964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/10650621 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 23. Let k = r - -18. Let x(v) = -v**2 - 1 + k*v + 0*v**2 - 2. What is x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.70165481 to 2 decimal places.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 603 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84, 137, 152, 129, 68?\n\"Answer: -19*j**2 + 110*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087504 divided by -44?\nAnswer: 24716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/(-42) + 13 + (-70)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + 1) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 6. Let q(a) = 5*a**2 - 15. Let v(m) = 5*g(m) - 2*q(m). Suppose -6*s = -4 - 50. Let j(d) = d**2 + s*d**2 - 13*d**2. Give v(j(w)).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 79340, -54 in descending order.\nAnswer: 79340, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53502*o**5 - 36277*o wrt o?\nAnswer: -1070040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(35)\/((sqrt(5) + sqrt(80))*2) - 5*-6*sqrt(700))*3 + 0.\nAnswer: 27009*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/21 and 4\/134505.\nAnswer: 134505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19132 + 53381. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - u - 3*u - 1 - u + 1 + 2*u - 2*u - u + (4 - 6 + 0)*(u - u + u) - 3*u + 3*u + 2*u)*(2*u**4 - 4*u**4 + 0*u**4).\nAnswer: 20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*q + 26 = 0, -14*q = -3*a - 19*q - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p - 2*p + (-p + 2*p + 0*p)*(-2 + 2 - 2*p) + 0*p**2 - p**2 + 0*p**2)*((-3 + 2 - 2)*(2*p - 4 + 4) - 15*p - 2*p + p).\nAnswer: 110*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Suppose 5*v + 0*f = -f + 257, 3*v - 2*f - 162 = 0. Suppose t*d - v = m + 70, -2*d = -5*m - 35. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let c be (-34)\/(-10) - ((-2)\/(-15))\/((-47)\/(-141)). Let v(y) be the first derivative of 0*y**2 + 10 - 11\/3*y**c + 0*y. Give j(v(h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5379306ml in litres?\nAnswer: 0.0005379306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43615 - 0?\nAnswer: -43615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602303 a multiple of 2033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75158?\nAnswer: 2, 37579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(150)\/(3*-2*sqrt(5)))\/(sqrt(70)\/(sqrt(7)*-1) - sqrt(40)*-6))**2.\nAnswer: 2*sqrt(3)\/33 + 5809\/1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2674812 and 210?\nAnswer: 13374060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y - 352 + 1732 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = 9*w - 108. Let f = w - -30. Suppose 113 = f*z - 391. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(-2 - 26*h + 16*h + 4*h + (-2 + 1 - 2)*(0*h - h + 3*h)) as o*h + s and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = 7*d + 101. Let s = d - -74. Suppose 3*p - 153 = -2*k, -p = -4*k - 3*p + 294. What is the greatest common factor of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1222.\nAnswer: 4\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 17*g - 6. Let m be h(7). Solve -7*k - m = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) -1\/13 (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1958 or -1895?\nAnswer: -1958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -939, 12534, 49091, 120270, 237609, 412646?\nAnswer: 656919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 19159902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*p + 24 + 51*p + 32 - 36*p + (-3*p - 3*p + 4*p)*(-1 + 1 + 1).\nAnswer: -4*p + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295244 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5, q + m = 2*q - 2 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/4 + 387*z**2\/2 + 7011*z - 14790 = 0. Calculate z.\nAnswer: -34, 2, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = 2*q - 288. Calculate the highest common factor of q and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfbcwbkkkwkkkckkfcc. What is prob of picking 2 c and 1 b?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 14*x + 140 = 0. Suppose 2*v + 6*y - 4*y - x = 0, 3*v = -5*y + 19. Calculate the greatest common factor of 128 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -5, 4, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*i - 83. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 13. What is the third biggest value in 1\/3, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/5)\/((-1)\/10). Suppose 4*d - u = -k - 0, 4*k - 4*d = 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + -51. Let n = 104 + l. Solve n*k = 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -106. Let y = m + -237\/4. Let q = 3.2 + -8.2. Put q, 1, y, -4 in descending order.\nAnswer: 1, y, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 278. Suppose -2*n = o - t, 16*n + 2*o + 608 = 21*n. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r + 136 = 0. Let l = -24 - r. Calculate the least common multiple of l and (1\/(-3))\/(2\/(-66)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.05 (b) 2.8 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 56\/(-18) - 1\/(-9). Sort 48, i, 5 in ascending order.\nAnswer: i, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(475) + 1) - (3 + ((sqrt(95)\/sqrt(5))**2 - sqrt(19)) + ((1 + sqrt(19))*-4)**2).\nAnswer: -336 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 101*d - 2*d**2 + 8*d**2 + 25*d**2 - d**2. Let i(j) = 10*j**2 + 34*j. Let l(x) = -11*i(x) + 4*r(x). Find the second derivative of l(n) wrt n.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 519002*x\/3 - 67340769001\/3 = 0. What is x?\nAnswer: 259501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 163*p - 635. What is n(159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4\/24 - 13*n**2. Let u(l) = 6*l. Let f(d) = -5*d. Let m(b) = 3*f(b) + 2*u(b). Calculate o(m(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:13 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 16120*r**3 - 8115390*r**2 - 8551039320*r + 95022012195 = 0.\nAnswer: -501, 11, 1857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -558\/17 or -33?\nAnswer: -558\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 - l**5 - 9*l**3*m**3 + 183*l**2*m**3 + 2*l*m**3 wrt l?\nAnswer: 240*l**3 - 60*l**2 - 54*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g + s + 3, 5*s = g - 15. Suppose -2*o - 10 = -g*o. Let v(n) be the third derivative of -n**4\/8 - 101*n**2. Calculate v(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -8166016\nAnswer: 816601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 115*q - 1681. What is r(14)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2312\/7 - 74047\/224. Calculate the common denominator of a and 39\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/60)\/((-3)\/9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 10, t: 6}. What is prob of picking 1 e and 1 a?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-1000) + -3 + (-62)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 3*f**2 - 4*f + 1. Let i be a(-4). Let b = -90 + 96. Let x = i + b. Calculate the smallest common multiple of x and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 divided by 87133?\nAnswer: 246\/87133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b - 1. Let d = 44 - 48. Calculate the remainder when v(7) is divided by 38\/2 - (d - (0 - 2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12897\/4 + -3207. What is the common denominator of c and (-4)\/(24\/(-31)) + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4594031*r**2 + 74*r - 2855806 wrt r.\nAnswer: 9188062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**9\/252 + m**5\/60 - 12*m**2. What is the third derivative of z(r) wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)\/(g**(-3)\/g)*(((g*g\/g**2)\/g)\/g)\/((g\/((g**(-3)\/g)\/g))\/g)*((g**(-10)\/g)\/(g\/(g**(-2\/11)*g)))**(14\/5) assuming g is positive.\nAnswer: g**(-1942\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*b**2 - 18*b**2 - 7*b**2 + 253*b + 47*b**2 - 1 in the form a*b + i + u*b**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 divided by 3.\nAnswer: 191\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10175 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 397183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 12. Suppose -c*i + 4 + 5 = 0. What is the units digit of (-64)\/(-12)*i\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350686*-5\nAnswer: 1753430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 12104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3345 + -1707?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 25900.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1205*i - 126*i + 400*i - 426*i.\nAnswer: -1357*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7585.\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 75*v - 140. Let h(k) = -3*k**2 + 116*k - 209. Let b(w) = -5*h(w) + 8*t(w). Suppose b(x) = 0. Calculate x.\nAnswer: 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - w**3 + 0*w**3 + (99*w**2 + 85*w**2 - 26*w**2)*(-3*w + 6*w - w).\nAnswer: 314*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hboobqqhbohbhlbbhhql. What is prob of sequence oooh?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - 4*h**4 + 6*h**4 + (2*h - 2*h - 2*h**4)*(-3 + 2 - 3) + h**2 - h**2 + h**4 - 149*h**4 - 180*h**4 - 346*h**4.\nAnswer: -667*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/15 + 14*q**2\/15 + 8*q\/5 = 0. What is q?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, 0.27899, -4?\nAnswer: 0.27899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*-1)\/(sqrt(4) + -6*sqrt(16)\/sqrt(4) - sqrt(4)) + -4 + 4*(3 + sqrt(19))*-4 + 2.\nAnswer: -97*sqrt(19)\/6 - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -30 + 2*k + 24 - 4*k. Let h be j(-6). Suppose h = 3*a - 3. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - -12) - -2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36906296 to the power of 1\/2, to the nearest integer?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*4*24\/(-40)*5\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*q - 40, -3*q - 40 = 2*m - 0*m. Let h = 18 + m. Calculate the highest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*28\/(-105). Suppose -2*w + 4*x + 2 = 0, 3*w = 4*w - 3*x. Which is the nearest to -2? (a) r (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -198? (a) 21 (b) -5 (c) 0.6 (d) 1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -2.806 in increasing order.\nAnswer: -2.806, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4 = -2*r, -4*r + d - 4*d + 14 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -9*j, 5*y - 3*j + 26 = 54. Solve 0 = y*r - 5 + 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -704383 (base 13) to base 6.\nAnswer: -131524101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 8846*g**2\/7 + 9750430*g\/7 - 9812450.\nAnswer: 2*(g - 7)*(g + 2215)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from ttzwtzzwtz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a + 12. Let n(b) = -61*b - 46. Let z(o) = 6*n(o) + 23*p(o). Let u(l) = 10475*l. Calculate u(z(d)).\nAnswer: 20950*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109392, -109327, -109262?\nAnswer: -109197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 + 57*j + 16. Determine t(7).\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 3, g: 2}. What is prob of sequence ngg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 2364269?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 2 - 2)*(1 - 1 + 4*u**2) + 2*u**3 + 2*u**3 - 3*u**3)*(105 - 170 - 134).\nAnswer: -995*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 3)*(4 - 3 - 12)*(-3*n**2 + 2*n**2 + 0*n**2).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 5*f - 1. Let m(b) = -34*b**2 + 255*b + 51. Let q(z) = 204*i(z) + 4*m(z). Let h(v) = -3*v**2. Determine q(h(p)).\nAnswer: 2448*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**7\/4200 + d**6\/1800 + 35*d**4\/12 - 102*d. Let c(g) be the third derivative of n(g). Find x, given that c(x) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37 and -864507868?\nAnswer: 864507831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1217.8 - -1217.5. What is the biggest value in r, -2, 5274, 4?\nAnswer: 5274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - ((sqrt(117) - (sqrt(117)*3 - sqrt(117))*6) + sqrt(117))) + 5*sqrt(117)*-1)\/(3*(sqrt(900)*-1 - sqrt(900))*-3).\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 224 = 0. Suppose 0 = -2*w + 10*w - h. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 14*c**2 + 8*c + 10. Suppose y - 5*y = -56. Let p be n(y). Is p\/12 - 4\/24 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1782*r - 1327*r - 979*r as m*r + o and give m.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/114 and -59\/54.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2 + -4 + 1). Suppose 2*c = 2*u - 36, 3*u + k*c - 60 = -3*c. Let r = 30 - u. Calculate the lowest common multiple of 7 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + u = -9 - 12, 2*j - 2315*u = -4620*u + 2310*u + 27 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/32)\/(s\/s**(4\/5)))\/(s\/s**(1\/45)*s)**(2\/133) assuming s is positive.\nAnswer: s**(-5209\/38304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9 + 6. Suppose 3*d - 28 + 9 = -u*l, 0 = -5*d - 4*l + 23. Suppose d*p - 23 = -v + 11, 0 = 2*p - 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*c - 281 = 0, -3*o + 146 = -2*c - 667. What are the prime factors of o?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 44 + 20 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667877 is divided by 1360.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) 6 (c) 941933 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let t(u) = -3*u**2 + 4. Let k(d) = -4*q(d) - t(d). Let z(w) be the first derivative of k(w). Give z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36051 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0778 - -86.2778. Let s = r + -86. Let a = -0.1 + 1.1. What is the third smallest value in a, -15, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26669*l**2 + 4*l + 262346 with respect to l.\nAnswer: -53338*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4\/65, -42976\/9, 1.\nAnswer: -42976\/9, -2\/5, 4\/65, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + m**2 - 7 + 37 + 216 to u*m + v + k*m**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j - 2. Let v be f(-6). Let c = -48 - v. Solve 3*p + 5*b = c*b, 5*p - 4*b + 27 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -362831\nAnswer: -1088493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 10\/10*-10 - 3. Determine b, given that -v*b - 1\/2*b**2 - 18 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y + 15, 3*k + 3 = y. Let z be (1 + -1)\/(k\/2). Suppose 10 = -z*j + 2*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568.03299 hours to weeks.\nAnswer: 3.38114875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/167829195 and -73\/26691.\nAnswer: 1174804365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:36 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*i - 38691 = 0, 3*g - 3*i + 4*i - 23216 = 0. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -674 + 720.7. Let o = s - 47.65. Round o to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q + 0*q**3 + 4*q**2 - 1 + 4*q + q**3. Let n be k(-4). Differentiate -5*y**n - 8*y**3 - 4*y**3 - 16 + 7*y**3 wrt y.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Suppose g*o + o = -5*d + 23, 5*d = 4*o + 16. Let p be 1\/12*(-12)\/(-30). Is o >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (0 + (-8)\/1). Let o = 94 - 37. Let r = o - 42. Calculate the greatest common divisor of r and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000010 (base 2) to base 6.\nAnswer: -10310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3529498 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -28. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i + 45*i - 21 = 5*p, -5*p = 5*i + 30. Put p, -4, 139 in descending order.\nAnswer: 139, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.0935869 * -0.6.\nAnswer: -3.65615214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -6, -28, -68, -132, -226?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2626*0.5\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**6)**(5\/8)*h**(-3)\/(h**(-2\/13)\/h*h*h) assuming h is positive.\nAnswer: h**(55\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddww when four letters picked without replacement from ddwdwwddwwdddd?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(42)*-4)\/((sqrt(2058) - (-1*sqrt(2058) + sqrt(2058)))\/sqrt(7)).\nAnswer: 40*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -3. Suppose -3*t - 75 = -k*t. What is the highest common factor of 135 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 2*o**2 - 7*o + 8. Let p be v(2). Let j(w) = -3 - 11 + p + 2*w. List the prime factors of j(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6151264 divided by 32?\nAnswer: -192227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -888532?\nAnswer: 888532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1061237 - -1141.\nAnswer: -1060096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489.303 - 490. Let u = f + -0.303. Which is the second biggest value? (a) u (b) 0.1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 2\/7, -1 in increasing order.\nAnswer: -56, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58478*r + 58475*r - 3*m = 27, 3*r - 23*m = 13*m + 12 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 2*y**4)*(1 + 0 - 3) + (771 + 1106*y - 771)*(2*y**3 - 3*y**3 + 3*y**3).\nAnswer: 2208*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -22. What is the highest common factor of 75 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(171)*3*1)\/sqrt(9)*2)**2)*-4 + -3.\nAnswer: -2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/(-3)) - (-5 + 2). Does 18 divide (36 - -1)*(f + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 451572 and 1580502.\nAnswer: 3161004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-1\/6))*w\/w**8*(w*w*(w*w\/((w\/(w**(-8)*w*w))\/w)*w)\/w*w)**(-10))**(-40) assuming w is positive.\nAnswer: w**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 517993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 + 5 = 0. Let z = 11 - x. Let p = z - 6. Solve 4*a + 8 + 12 = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(48) + 3*sqrt(40)*3)\/(2*(1*sqrt(96)*-5)\/sqrt(12)))**2.\nAnswer: 1369\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 130\/14 + 4\/(-14). Suppose 2*t + 18 = 4*t + 2*n, 4*t - 5*n + v = 0. Suppose -t*q = 52 - 284. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 14*z + 10. Let g be y(10). Let k be 7449998\/(-5) - (-12)\/g. Round k to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:53 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7019556 rounded to two dps?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 10*u - 2. Let p be m(-4). Let x be 255136642\/(-6) - p\/15. Let g = -30122773 - x. What is g rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/((-405)\/(-15))*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -2.42, -2\/5?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98412 - 98412 + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.288818151\nAnswer: -1.444090755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57851 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)*y*y\/(y**(-3\/10)\/y)*(y\/(y*y**(7\/2)))\/(y\/y**1) assuming y is positive.\nAnswer: y**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -12*x - 49 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -103*f. Let t(z) = 74374*z. Calculate l(t(k)).\nAnswer: -7660522*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 0.2 (c) -1\/3 (d) 132 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -20\nAnswer: 47\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b)**(-18)*(b*b**(3\/10)\/b*b)\/(b**(-3)*b) assuming b is positive.\nAnswer: b**(393\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 105 and 0.01501 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a - 7. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 26 (c) 0.02888 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose 0 = -4*n - a*f - f + 312, f + 69 = n. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 50938008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 145 in decreasing order.\nAnswer: 145, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 27 = -658*y + 649*y, 0 = -y - 2*b + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.79 and 321?\nAnswer: -253.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/432)\/(18\/16)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1180*z - 129474. Determine d(110).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203 + 33?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 119 = -51. Suppose 0 = -r + 5*v + 68, 0 = 2*v + 30 - 22. What is the remainder when r is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**3 - 12 + 4 + 0*o**3 wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 2 b when four letters picked without replacement from bspmsbsbppd?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Suppose w + 4*w - 5*k - 20 = 0, -12 = -5*w + k. Let y(b) be the second derivative of w*b + 0 + 0*b**2 + 1\/2*b**3. Determine d(y(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 905471115 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d - 1. Let w(z) = -3*z. Let f(j) = -5*j**2 - 20*j + 3. Let g(b) = -f(b) + 8*w(b). Let u(x) = x**2 - x - 1. Give d*g(v) - 9*u(v).\nAnswer: v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -83*n**3 + 6*n**2 - 6*n + 1. Let a be s(1). Let h = a + 86. Solve w - h*w - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -m - 168. Suppose -m*g - 27 = -31*g. Let h = -265 + 266. Calculate the greatest common divisor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*d - 79*d + 1304*d**3.\nAnswer: 1304*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let u = -12.59 - -19.59. Let g(y) = y**2 + 5*y - 4. Let z be g(-5). Sort r, u, z in increasing order.\nAnswer: z, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 99, 180, 293, 438, 615?\n\"Answer: 16*z**2 + z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110233323 (base 4) in base 9?\nAnswer: 578151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 5199144787*w**2 + w + 5199144719*w**2.\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 59535 divided by 3\nAnswer: 19845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 151*k**2 + 6939*k + 38. Calculate g(-46).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bb - -4?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4726 divided by 1.\nAnswer: 4726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4506 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 3?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, p: 1, d: 1, o: 2, c: 1}. What is prob of sequence pdr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5198591 or 5198589?\nAnswer: 5198589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let p(w) = 2*w**2 - 19*w + 19260. Calculate p(r(s)).\nAnswer: 8*s**2 + 38*s + 19260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 4266, -5, 0.5, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165123 and 4953690.\nAnswer: 4953690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -19, 11, -5\/6, 1\/3, 0.3, -592?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473261785 divided by -5?\nAnswer: -294652357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 315.0346052 - 2.70534\nAnswer: 312.3292652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1 + 4*j**2 - 2*j**2 - j**2 - 8*j. Let v be r(9). Solve -v = -5*m, 3*s = 5*s + 4*m - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 626691205*l - 194114939.\nAnswer: 626691205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:30 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9 - 280\/180 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1163.8 and 90.\nAnswer: 1253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560076*g - 397570*g - 2 + 505775*g.\nAnswer: 668281*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2. Let p(j) = -255*j**2. Determine p(k(u)).\nAnswer: -4080*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 90667752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 76. Suppose 0 = -3*z - h + g, -5*z - 2*h + 16 = -17. Suppose 4*y - 96 = -z*a, 3 = -2*y + 1. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.1, 255, 1\/6, 0.7, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-10)*s\/(s**(-5\/3)\/s))\/(s**(2\/13)*s\/s**(-26)) assuming s is positive.\nAnswer: s**(-487\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10766 * 0.47\nAnswer: 5060.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (-3 + sqrt(65)\/sqrt(5))**2).\nAnswer: -90 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (12\/(-28) - (-18)\/(-7)). Is 1\/116 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267860 is divided by 26785.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = -4596. Let n = -736 - w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/11328 and -37\/2432216.\nAnswer: 58373184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:54 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 19, -793 in ascending order.\nAnswer: -793, -4, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819646751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -12. Suppose 0 = 5*h - n - 14, 0 = -4*h - j*n + n - 4. Suppose g = -3*k + h*g + 4, 13 = k + 2*g. Sort k, 4, -1 in decreasing order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - j + 5702 = 0, x - 97*j - 1417 = -93*j. Let m = x + 284. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-1 - 1 + 4)*(3*y - y + 9*y + (-7 + 4 + 1)*(0*y - 4*y + 2*y)) to r*y + k and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3774.89917562 + 3774.9. What is y rounded to five dps?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 - 110. Let w = -11 + 6. Let o = w + 4.8. What is the closest to 1 in -5, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -c9?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*((-9758)\/164 + 4\/2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p**2 + 5*p - 2. Let r be k(3). Let d be 2 - r*(-6 - -2). Suppose 0 = 2*n + 3*n + 85. Are n and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 1\/(3\/(-67560015)). Suppose -o = 2*r - 5*u, -2967786 + 14227788 = -r + u. Round r to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2159049, 4318073, 6477099, 8636127, 10795157, 12954189?\nAnswer: 15113223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 52.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1))\/(-6)*(-9 - 3). Solve f - n*f = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y + 6. Suppose 2*n = p - 250, -n - 3*n = 8. Let a = 251 - p. Determine k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14363960 - -14363959.91099953. Let n = 91 + -91.089. Let a = n - d. What is a rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**5 + 1374*y**3 - 7*y + 255 wrt y?\nAnswer: -100*y**3 + 8244*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69930.774296 + 69931. What is j rounded to three dps?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + 4*z**2)*(-3 + 2 + 7)*(-2 + 0 + 0) + (0 + 0 - 3*z)*(z - 6*z + 4*z).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 40*n - 95. Let j be f(-22). Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f**2 - 3767*f + 108768. What is i(26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 90 = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25832.86991 + -25833. Round h to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**5 - 10*s**3 - 4*s**2 + 3*s + 4. Let w(g) = -6*g**5 + 21*g**3 + 9*g**2 - 6*g - 9. Let a(l) = -9*h(l) - 4*w(l). Let a(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -1776\nAnswer: 11\/888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {i: 2, l: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 24 + 14 + 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f**2 + 10*f + 156. Let y(o) = -o**2 - o - 2. Determine -t(k) - 10*y(k).\nAnswer: -2*k**2 - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*i = -0*i - 6, -11 = l - 3*i. Let y be ((-45)\/(-30))\/(3\/l). Suppose 5*z + 197 = y*s, 0*s = 5*s + 4*z - 542. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-63)\/(-28))\/(12\/32). Let t(a) = 2*a + 22. Let f(y) = 8 + 3*y + 3 + 12. Let b(x) = l*t(x) - 5*f(x). Differentiate b(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(700) + 1 - sqrt(700)*-5*-1.\nAnswer: -40*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/1121, -2, 5?\nAnswer: -1\/1121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a79 + 6?\nAnswer: a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13216378 is divided by 668?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 + -25916?\nAnswer: -25910.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -168349?\nAnswer: -168352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/29))**(-3))**(-38\/7) assuming g is positive.\nAnswer: g**(-228\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 3*k**3 + 5 - 24.\nAnswer: k**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136939369793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -11*i + 2*s + 36, -1015*s = 4*i - 1018*s - 103 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2832005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k - 29. Let r be h(-2). Let z(n) be the third derivative of 0 + 1\/2*n**4 + 0*n**r + 0*n + 9*n**2 + 1\/20*n**5. Determine v, given that z(v) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/15 and 71\/636.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5 = -15, 0 = -5*v - 5*n + 45 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 4, w: 3, b: 3, m: 3}. What is prob of sequence bbbm?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30836 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 8*h**2 - 3*h - 4. Let q be l(6). Solve q*m - m**2 - 17*m + 0*m**2 - 17*m = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1278728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -5, -2, -42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 3 + -5 + -7. Let t = x - -6. Let z(d) = 6*d**2 + 7*d - 1. What is the tens digit of z(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + y**2 + y - 3. Let r be u(7). Let l = r - 15. Suppose 0 = -3*z - 0*z + l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/5)))**(-15)*f**(-6)\/(f*f**(-2\/5)) assuming f is positive.\nAnswer: f**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -2\/7, -5, -0.1, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -462 + 426.05. Let r = x - -35. Round r to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w, 2*d + 3*w - 3 = -2*d. Solve d = -2*p - 2 + 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tenoaelo. Give prob of sequence olat.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4*w**3 + 3170252*j**4 + 4*j**2*w**3 - 4*j**2 - 16*j*w**3 + 1117*j*w + 1 wrt j.\nAnswer: 24*j*w**3 + 76086048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 102*v - 4180. What is m(40)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - 2*i**2 - 4*i**2 + (3 + i - 3)*(-i + 2 - 2) + (29*i + 13*i + 2*i)*(-4 + 4 + 2*i) to v*i + n + f*i**2 and give f.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196533 - 3.\nAnswer: -196536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 35*l - 173. Give f(-20).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493814899?\nAnswer: 23, 1321, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1082, 1094, 1114, 1142?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1693, 1691, 1689?\n\"Answer: -2*b + 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-253)\/330 + 6\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -461, -448, -415, -350, -241, -76, 157, 470?\n\"Answer: 2*s**3 - 2*s**2 + 5*s - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.004161 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 56 = -5*m, 522*g + 4*m = 525*g + 3*m - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129911880 and 30450?\nAnswer: 649559400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49100 is divided by 189.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4))\/((-8)\/(-88))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39894, 39830, 39744, 39630, 39482, 39294?\n\"Answer: -y**3 - 5*y**2 - 42*y + 39942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from zzzzzzozzcizozz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856 and 51788?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 910*w**2 - 1297664*w - 1148963104\/3.\nAnswer: (w - 3826)*(w + 548)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 28 = -12*f - 122 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*s + 995*s - 7009 + 10323 = -15026 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, -19, 4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 - (-215 + 214)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0379611l in millilitres?\nAnswer: 37.9611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25089 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: What is the smallest value in 19.2, 18, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 1)*(0 + 0 + 2)*(0 - 3 + 6)*(45 - 67 + 42)*(2*t + 2 - 2) + (-1 - 1 + 0)*(-t + 2*t + 0*t) as a + v*t and give v.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + v - 4*v + 58509 = 0, 2*v - 46806 = 4*x. What is x rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -3. Let w = f - 6.1. Let b = w + 4. What is the second smallest value in 5, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1)*1 - 1. Let r be 1\/(2\/d) + 1. Suppose -3*o = -2*o - r. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 206 = 28. Calculate the remainder when 945\/i + -1*4\/(-8) is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16727 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 3*g**2 - 3*g**2)*(-g - 4*g + 0*g)*(0*g + 3*g - 4*g).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -755763*m + 755800. Determine z(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16660 or -2\/179?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 32\/9 (b) -5 (c) 4 (d) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, q: 7, w: 1}. Give prob of sequence qqqw.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62663845561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 4\/3*z**3 - 2 - z + 0*z**2. What is the units digit of o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1.25.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -619? (a) 2 (b) -3\/2 (c) 5.6 (d) -5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*3\/(84\/(-8)). Suppose -12 = 4*d + 96. Let z = -13 - d. What is the greatest common factor of o and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 29\/((-522)\/(-180)) - -42.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2 + 16. Let y = 13 - p. Let f be (-2)\/(-12)*(8 - y). Put 5, -1\/5, f in ascending order.\nAnswer: -1\/5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679, 714, 799, 958, 1215, 1594, 2119?\nAnswer: 2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k + 112*k = 3*j - 28, -j + 9*k + 76 = 0. Factor -g**2 + 1\/2*g**5 + 4*g**3 + 3*g**j - 2 - 9\/2*g.\nAnswer: (g - 1)*(g + 1)**3*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 59 = -3*d + 23, -w - 5*d = 0. Let z be 0*(-1)\/(-6)*-3. Suppose -3*u + 4*b = -z*b - w, u + 4*b - 30 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 4*g. Let t be y(4). Let j be ((-39)\/12)\/((-2)\/8). Let d = -9 + j. What is the highest common factor of t and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 7a3032?\nAnswer: -7a3037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - 0.6765389.\nAnswer: -0.7565389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4752 - 4740. What is the highest common factor of 258 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 283012900 to the nearest one hundred thousand.\nAnswer: 283000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5946562?\nAnswer: 2, 577, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-300)\/200\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Suppose m*b + 36 = -4*w - 0*b, 5 = 5*b. Let v be 4\/(-10) - (-16)\/w. Which is bigger: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33902 minus 6.528?\nAnswer: -6.86702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145360, -290458, -435554, -580648, -725740?\nAnswer: -870830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 519, 907, 1391, 1977?\nAnswer: 2671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 154 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**3\/3 + 9*f**2 + 5*f. Let x be b(-6). Suppose -10*c + x*c + 144 = 0. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 17580.\nAnswer: 17580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*(0 - -2))\/1. Let s be 228\/342 - ((-224)\/12)\/(-4). Put -20, b, s in increasing order.\nAnswer: -20, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35958 and 91807689.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/40 and 25\/4702.\nAnswer: 94040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -111095.105655063.\nAnswer: -111099.105655063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10272 - 10588.15. What is t rounded to zero decimal places?\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b - 3, -5*x + 2*b = 912. Let c = -228 + 210. Let p = c - x. Is 41 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktuhlsksus. Give prob of picking 1 s and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.66 - 1.66. Which is the third biggest value? (a) r (b) -14\/9 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -16. Calculate the remainder when 172 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2\/113 (b) -2\/5 (c) -1 (d) 1\/20 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 + 171 = 8*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 (base 14) in base 3?\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*w**6 - 5*w**2 + 4*w**6 - w**2 + 3*w**2 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1463 + 1462.980938. Let z = -0.019 - k. Round z to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + -2)*(-25)\/21 and -5\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 187869219 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**35*((u\/u**7)\/u*u)\/u assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**3 - 10*x**2 + 2*x + 2. Let o(d) = -3*d - 11 - 8*d + 26*d**2 + 24*d**2 + 36*d**3. Let a(r) = 11*g(r) + 2*o(r). Suppose a(k) = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -196 (b) 36 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355252.\nAnswer: 2, 88813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 697385 and -204.\nAnswer: -142266540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30.1 times 4\nAnswer: 120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*p**2 - 270*p + 270*p + (p - 2*p + 0*p)*(2*p + 2 - 2) to r*p + w*p**2 + s and give w.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3. Suppose 126000 = h*b - 8*b. Let k be (5\/10)\/(2\/b). What is k rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17e (base 16) to base 9.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 159*r + 762 - 15*r + 206*r + 123*r wrt r.\nAnswer: 473","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - f**2\/3 + f\/3 + 1\/3.\nAnswer: -(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 326075155 divided by 14035\nAnswer: 23233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111010101 (base 2) to base 5.\nAnswer: -31010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 - 127. What is the remainder when i is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-3) - (-207)\/46) + 3. Let f = 0.4 - -0.6. What is the nearest to -2\/5 in n, 5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32396 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 26*o**2 - 80*o.\nAnswer: -2*o*(o + 5)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2. Suppose x = -5*p + 8, 5*p - x - 9 - 3 = 0. Let q(f) = -p - 3*f + 8 - 6. Determine q(a(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -2.05. Let w = -3 + y. Suppose -10*d + 22*d + 12 = 0. Which is the closest to w? (a) d (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 - 9*l**2 - 2 + 10*l**3 + 2.\nAnswer: -4*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)\/l)\/(l*l**(-2\/3))*l**(-2\/5)*(((l**4*l)\/l*l)\/l)\/l)\/((l\/l**14*l)\/l*l*(l**5\/l)\/l)**25 assuming l is positive.\nAnswer: l**(3334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69.668 and 1.7.\nAnswer: -67.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose -7*s + 35 + 49 = 0. Find b, given that -23*b**4 - 4*b**4 + 14*b**3 - 14*b**w + 39*b**2 - s = 0.\nAnswer: -1, -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -10. Let m = -428 + 417. Is z > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1000)\/(-80)*96\/60\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3 + 2*l - 4 + 1. Let r(h) = -15*h**2. Calculate r(x(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 - 51*r**2\/4 - 93*r\/2 + 60.\nAnswer: -3*(r - 1)*(r + 8)*(r + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -47, -72, -99, -128?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -308*f**3*s - 39*f*s - f + 3*s + 1 wrt f.\nAnswer: -1848*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400539.\nAnswer: 3, 19, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -17\/250 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 5*s**2 + 5*s + 8. Let a be m(6). Let v be (-2)\/(10\/(-3))*10. Let l = 6 - v. Solve 3*g = l, 5*p + 4*g - a*g = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t**2 - 23*t + 88. Let v(y) = -13*y**2 + 24*y - 88. Let l(x) = -6*d(x) - 7*v(x). Determine l(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 + 2*o + 1. Let h be k(-3). Suppose 0 = -3*p + h + 23. Let t(g) = -g**3 + 10*g**2 + 9*g - 13. Is t(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.35 + 0.301. Let h = -66 + 64. Which is the second smallest value? (a) v (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 858 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + (-3 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1560 and -103\/320?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2145266ng?\nAnswer: 0.0000000002145266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11*y - 18. Let g be b(11). Let q = g + 50. Solve -q = 5*h - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417144.9 centimeters to micrometers.\nAnswer: 4171449000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**4\/24 + p**3\/6 + 4*p**2. Let n(f) = -2*f - 1. Determine 4*n(i) + 6*v(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**5\/60 + r**4\/4 + r**3 - r**2 + r. Let i(u) be the first derivative of s(u). Let p be ((-611)\/52 - -12)*20. What is i(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:49 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 - 57*j + 296. Calculate the smallest common multiple of m(6) and 850.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*p**3 - 5*p**3 + 2*p**3)*(1 - 4 + 1) + p**3 + 2*p**3 - p**3)*(-68 - 294*p + 44 + 249*p + 14).\nAnswer: 90*p**4 + 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 4 in descending order.\nAnswer: 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*y - s + 6 = 181*y - 0, 22*y - s = 31 - 268 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 3 - 3 + (-2*z**3 + z**3 - z**3)*(0 + 1 + 0) - z**2 - 4*z**3 - 14 + 14 in the form j*z**3 + q*z + p*z**2 + t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 3*z**2 + 3*z + 7. Determine k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 11. Let a be n(-7). Let w(j) = -2*j - 28. Let r be w(-12). Sort r, 1, a in descending order.\nAnswer: a, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 h when four letters picked without replacement from {l: 4, j: 7, h: 6}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 24, 52, 90, 138, 196, 264?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10189 + aaa8?\nAnswer: -12a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (23 - (3 - -2 - 1 - 15))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from {j: 1, f: 2, i: 4, t: 6}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1 + -4 + 7\/7. Solve 2*g - 3*q = 8, g - v*q + q = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43057 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3421, -3399, -3377, -3355, -3333?\n\"Answer: 22*k - 3443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2286810, -4573621, -6860432, -9147243, -11434054?\nAnswer: -13720865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*(-25)\/15)\/(5\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*x + 30 - 67 + 173. Solve x*u - 365 + 361 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*f**2 + 4\/7*f - 4\/7*f**3 - 2\/7*f**4 + 0 = 0. Calculate f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:09 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 68*b**2 - b + 37. Let f be t(34). Solve 3*k - 4*r + 1 = 0, -3*r + 35 = f*k + 2*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 176*o + 91*o + 135 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**3 + 0*z + 0*z)*(0 + 0 - 4*z) + 2*z**4 + 4 - 4)*(61*z + 2 + 35*z - 53*z).\nAnswer: 258*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*k + 138*k - 266*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7 = 4*g + 3*h, -11 = 2*g + 5*h. Which is the second biggest value? (a) g (b) 12 (c) -11 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*n = 342*n - 5185. List the prime factors of n.\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwuvcv. Give prob of picking 1 q and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15262.\nAnswer: 2, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 9*j - 8. Let s be l(10). Solve s*g + 2 = 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7546 is divided by 3682?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Suppose 0 = -179*y + 187*y + 16. Let v(c) = 39*c**2 - 2*c + 2. Let i(n) = 78*n**2 - 5*n + 5. Let m(t) = y*i(t) + 5*v(t). Calculate a(m(l)).\nAnswer: 117*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-20)\/8))\/(9\/(-180))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k - 5*f + 34, -4*k + 51 = 3*f. Let w = k + 11. Let m(v) = -v**2 + 8*v - 2. Let u be m(7). What is the highest common factor of u and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9375 in 2\/13, -9032, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -23. Which is smaller: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - n**2 + 2 - n + 4 + 5*n. Suppose -4*j = -19 - 5. What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 811854 and 2300253?\nAnswer: 13801518","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -567*d**3 - 18*d**2 - 347*d. Let k(x) = -283*x**3 - 8*x**2 - 174*x. Let p(h) = 4*f(h) - 9*k(h). Find the second derivative of p(u) wrt u.\nAnswer: 1674*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 448, 985, 1612, 2329, 3136?\n\"Answer: 45*r**2 + 402*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 31*p + 165. Let t be m(-21). Let v = t - -962. Is 79 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -3. Let q = j + 56. What is the third derivative of -2*m**2 + 13*m**4 - 2*m**2 + 0*m**q - 4*m**2 wrt m?\nAnswer: 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -14. What is the second biggest value in c, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a factor of 10063737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1463205 less than 3?\nAnswer: 2.8536795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -3*w - 1254. Calculate the highest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 14. Let g be n(0). Let a = g + -22. Let r(q) = -q**3 - 7*q**2 + 6*q - 5. List the prime factors of r(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u + 5*g, -3*u = -0*u - g - 6. Suppose -u*q - 4 = -4*q. Calculate the remainder when 2 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43356 - -5?\nAnswer: 4335b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 5*x**2 - 6*x + 4. Let h be a(6). Suppose -3*o + 44 + 32 = 5*z, -h*z + 4*o + 48 = 0. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 52 = -6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -10*m + 5*m. Suppose m = 3*t - f, 5*t + f = 31 + 49. Let v = 133 - 74. Calculate the remainder when v is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6680*y + 39808. Determine t(-6).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 119*h - 5. Let y(s) = -2*s. Give y(m(z)).\nAnswer: 2*z**2 + 238*z + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*h = -8*n + 9025, 4*n = 2*h + 9010. Calculate the highest common factor of 270 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42469*g*r**3*v - g*v + 4211*r**3*v - r**3 + 3 wrt g.\nAnswer: 42469*r**3*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/22 and 89\/(-4)*(-166)\/(-249).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*f - 5*p - 12, -f - 20 = 5*p. Solve -q = -1, -2*x + 4*q + q - 1 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 47 = 25*q. Let u(i) = -43*i**3 - 3*i**2 - 6*i - 6. What is the tens digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 154 + 3654?\nAnswer: 37a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 e when three letters picked without replacement from qqewlwnqlwqclqqw.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11553930?\nAnswer: 2, 3, 5, 128377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0*w**4 + 0 + 0*w + w**2 + 1\/30*w**5 - 2\/3*w**3. What is the derivative of c(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d - 17*d = 5244. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -3. Let z = 18 - 31. Let p = z - -19. Calculate the remainder when h is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 25*s**2 + 24*s + 12. Calculate h(26).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 18. Suppose -5*v - 4*l + 11 = 0, -1 + 2 = -v - 4*l. Suppose v*c - 29 = 10. Let n be y(c). Solve n*b = 3*h - 18, 3*h = 4*b + 5 + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 4*t**2 + 30289. Is r(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 2*x**2 - x - 3. Give y(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 8831.\nAnswer: -8\/8831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.297479 and 0.3.\nAnswer: -0.0892437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s. Let k(c) = 741*c + 1192. What is p(k(r))?\nAnswer: 8151*r + 13112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -263, -596, -1063?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-68810)\/(-13760) - 5)\/1. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2393*x - 4*d + 30 = -2398*x, -12*x - 44 = -4*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 709735253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.620905712 + 2.5.\nAnswer: -5.120905712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(24)\/sqrt(2)) + 5 + -5*(-1 + sqrt(3)) + -4.\nAnswer: -9*sqrt(3)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 170, 399, 724, 1145, 1662, 2275?\n\"Answer: 48*v**2 - 11*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124790689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(((-2095)\/418)\/(-5) - 1). Calculate the greatest common divisor of s and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 51. Suppose 5*g + 22 = 4*z - 0*g, -5*z + g + 17 = t. Which is the second smallest value? (a) -2\/5 (b) 0.4 (c) z (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928651 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 29*v + 80. Let d be f(26). Let n be (d - (-6 - -1)) + -4. Solve 3*a - 4*t + 20 = 0, 3*a - 5*a + n*t = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/7 + 6*f**3\/7 + 4*f**2\/7 - 24*f\/7 + 16\/7 = 0. Calculate f.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4194.87 (b) -0.5 (c) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037.\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (-10 - (5 - -11))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - h - 1. Let n be s(-1). Let q = -0.2 - -5.2. Which is the fourth biggest value? (a) 1\/2 (b) q (c) -1\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + z = 7*z - 10*z + 29 + 43, 274 = 2*z + 282 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 7*p + 11 = 0. Let x(o) = o**2 - 11*o + 3. Let z be x(p). Suppose 6*q - 5*i + 5 = 11*q, 2*q - z*i = 27. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.175668 to three dps.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 24*o**2 - 22*o - 53. Let t = -4320 - -4343. Give k(t).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12450423 (base 6) in base 16?\nAnswer: -6456f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 2, -17, -615 in increasing order.\nAnswer: -615, -17, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10d6c1 - 4?\nAnswer: 10d6bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2 - 27 - -12) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((-2)\/60 - -2). Let q(x) be the second derivative of 0*x**2 + 1\/9*x**3 + 1\/18*x**4 - w*x**5 + 0 - x - 1\/45*x**6. Determine i so that q(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 40*h**2 - 17*h + 63. Let f be l(13). Suppose -21*s = -6292 - f. Does 53 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-1638)\/65)*(-10332)\/(-1230).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*u - 175, 6*o + 455 = 11*o - 4*u. Is (-7090)\/(-4)*(-3 - o\/(-25)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - -2. Suppose 0 = h - 1, 0*k = -5*k + 2*h - 27. What is the closest to c in 2, -2\/11, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/7 - 36*b**3\/7 + 9*b**2 - 30*b\/7.\nAnswer: 3*b*(b - 10)*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1040, 4130, 9282, 16496, 25772, 37110, 50510?\n\"Answer: 1031*p**2 - 3*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 - 34*h**2 + 27*h + 198 = 0. What is h?\nAnswer: -2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 13 = 2*c + 3*b, -5*c + 5 = -5*b. Let f(s) = -2*s**2 - 2 - s**3 - c + 4 - s. What are the prime factors of f(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-478)\/5)\/((-24)\/20 + 1). Let l = m - 243. List the prime factors of l.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 8. Let o be ((-2)\/6*0)\/k. Is 4 a factor of (o - (-12 + 0)) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 489 = 391. Let o = -65 + g. What is the smallest common multiple of o and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 179, 353, 515, 659, 779, 869, 923?\n\"Answer: -m**3 + 181*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -43.04. Let t = d - 0.9. Let w = t + 0.24. What is w rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -888.89 and 155.90569?\nAnswer: 1044.79569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 2*n**2 - 3*n + (-2 - 12*n + 4 + 9*n)*(-3*n + 0*n + 0*n) + (-3*n + 0*n + 2*n)*(-3*n + 2*n - 2*n).\nAnswer: 14*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 99380800 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5667539 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43798063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31734 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1268*g*t + 2*g - 121 wrt t.\nAnswer: 1268*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 3 - 3. Let s(w) = -7*w - 4. Let f(v) = 102*v**2 - 9282*v - 5304. Let z(p) = -2*f(p) + 2652*s(p). Calculate g(z(i)).\nAnswer: -83232*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 - 2*u**3 - 2*u**4)*(57 + 63 + 21) + u**4 - u**4 - 2*u**4 as r*u + q*u**3 + s*u**4 + v + f*u**2 and give s.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6026242.\nAnswer: 2, 431, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + b**2)*(-2*b + 3 - 3) + (-3*b + 3*b + b**2)*(-12*b + 1 + b - 2*b).\nAnswer: -15*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*o = -377*o - 291*o - 13830 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2311423 and 5?\nAnswer: -11557115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*f + 245*f + 217*f - 668*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i + 765 = 21*i - 325. What is the least common multiple of i and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (3 - -18) - (-26 - -9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from tzctcttcccczczz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**3 + k**2 - k. Let l(h) = -33*h**3 + 243*h**2 + 513*h + 255. Let m(p) = -l(p) - 6*z(p). Determine b so that m(b) = 0.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 14406 + 47085. Let l = z + -239703\/22. Calculate the common denominator of l and -17\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -582629111\nAnswer: -582629110.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 6*z**2 + 2*z + 3. Let u be t(6). Suppose -f + g - 127 = -122, 2*f = 3*g - 20. Solve -o = 5*l + u, 5*o + f*l - l + 33 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Suppose 5 + 5 = 5*p. Let f = -5 - -7. Let o be 1\/(((-4)\/p)\/f). Give i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, 1, -21, -1.\nAnswer: -21, -14, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 702 = 3*g, 478 = 2*g - 8*t + 11*t. Find the second derivative of 98*v**2 - 128068 - g*v + 128068 wrt v.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45505*d - 3 + 3 - 45517*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 + (-4)\/(8\/(-6)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Let d(x) be the first derivative of -3\/2*x**2 + 0*x - 3. Give s(d(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 10 = 9*v + 4*g, -3*v + 3*g + 15 = 0. Suppose -v*f - 45 = -10*f. Put f, 4, 2, 0 in ascending order.\nAnswer: 0, 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1372598 = -47*j + 45*j, 5*v - 6862915 = -10*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13.05. Let o = -16 + 16.95. Let w = o - y. Is 1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j + 273. Calculate the remainder when u(25) is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/189610 and -83\/6.\nAnswer: 568830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/5 and 39\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.15 - -6.3. Let v = 0.6 + c. Let n = 3.901 - v. Round n to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504967433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7492 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 8253876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a - 11. Let c(p) = -9*p - 10. Let n(q) = 5*c(q) - 4*g(q). Let f(u) = 6*u + 7. What is 4*f(z) + 5*n(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1034 = -1040 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4431*a + 319 = 4402*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76907\/28 - -2746. Let p(w) = 13*w - 37. Let a be p(3). Find the common denominator of 0 - (a\/(-16))\/((-30)\/(-2440)) and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 407*b - 409*b - 3*n - 10, 0 = 5*b + 4*n + 39 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22928\/7 - 3272. Factor -12\/7*d**2 - 16\/7 - 2\/7*d**3 - z*d.\nAnswer: -2*(d + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18372611*b*y**4 - 13*b*y**2 + 4*b*y + 3*b - 55791*y**2 wrt y.\nAnswer: -440942664*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -61. Let w be (-1 + (2 - 1))\/(-2). Let h be w - 1\/(1\/(-66)). Calculate the greatest common factor of t and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - ((-2 - 0) + -3). Is 1\/123 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*g + 6761 + 2077 - 695 = 0. Solve -6*x = 11 - g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esee. Give prob of picking 3 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 + 2*z. Let m be r(2). Suppose 16*y = 13*y + 591. Suppose -m*x + 1185 = y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5)*j)**(2\/5) assuming j is positive.\nAnswer: j**(24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 57732?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and 99\/868.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 10338629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose v*n + 37 = 2*p, 2 = 3*p - 2*n - 46. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 90, -3, 5, 0 in decreasing order.\nAnswer: 90, 11, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -28*q - 16. What are the prime factors of u(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose v = l + 1. What is b in l - b + 1\/4*b**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-78) - ((-578174)\/78 + (-18)\/27).\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*i - i + 249, -198 = -2*b + 10*i. Calculate the remainder when 409 is divided by b.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-17)*o)\/((o**(1\/6)\/o)\/o) assuming o is positive.\nAnswer: o**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3891 or 1?\nAnswer: -2\/3891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -5*i**9\/504 + i**5\/6 + 8*i**2 - 12. Let m(d) be the second derivative of q(d). What is the third derivative of m(j) wrt j?\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 5*p**4 - 2*p**4 + (4*p - 4*p - 2*p)*(-p + p**3 + p) + 10*p**4 + 2*p**4 - 3*p**4.\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 9 = 2*i, 3*i + 6 + 4 = 4*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/104)\/((-35)\/(-182))*8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -156. Let f = -19 + 50. Let o = t - f. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3)*g)**(9\/13)*g\/(g**3*g)*g\/(g*g\/(g*g*g\/((g**(-1\/3)*g)\/g))) assuming g is positive.\nAnswer: g**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10 - (306\/(-45) - -6). Solve t = 5*r - 19 - 6, -r + 5 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (363\/(-6))\/((-2)\/(-4)). Let o = -79 - d. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**3 - 2*d**2 - 3*d - 2. Let s(x) = x**2 - 2*x - 1. Let t be s(0). Let v be k(t). Suppose -m + 581 = v*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44646158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 14*x - 4*x. Let w(m) be the third derivative of 1\/8*m**4 + m**2 + x*m + 0 - 1\/3*m**3. Find the first derivative of w(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 9 + 8 + -3 + (-28 - -26)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7496.816 millilitres?\nAnswer: 7.496816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.451129 millilitres to litres.\nAnswer: 0.002451129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = 2*a - 0*y, -3*a + 2*y + 26 = 0. Suppose 4*j - 24 = v + 3*v, -3*j + a = -5*v. Calculate the remainder when 29 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = -2*z - o - 81, 4*z = 8*z - o - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 - 69*n - 51. What are the prime factors of v(19)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + t = 186548, 8*t = 11*t - 24. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131177685337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922.856 grams in tonnes?\nAnswer: 0.001922856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32832 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 + 460*m**2 - 46058*m - 93940 = 0.\nAnswer: -305, -2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 696807443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**2 + 0*y**2 + 2*y**2)*(-y + 3*y - 5*y) - 12*y**3 - 17*y**3 - 4*y**3 + (-y**2 + 2*y - 2*y)*(2 - 2 + 2*y) as m*y**3 + k*y**2 + r + b*y and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.7307kg in nanograms?\nAnswer: 440730700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - 5 + 2*n**2 + 4*n**2 - 13*n**2 + 2*n**2 - 5*n. Let o(f) = 6*f**3 + 8*f**2 + 8*f + 8. Calculate -8*i(c) - 5*o(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 42 = 2*n, 65 = 2*n + 4*a + 19. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198708, -4, -12 in ascending order.\nAnswer: -12, -4, 198708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -345798 divided by 812?\nAnswer: -172899\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (1 + -3 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*27\/(-30) - (-16 + (-2050)\/(-125)). Let g be (-1)\/9*(2 + 2). Which is the nearest to 0.2? (a) g (b) -6\/37 (c) 2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1550 and 13175?\nAnswer: 26350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -40*(-18)\/(-12)*-1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102242304\/7*w - 140685410304\/7 + 2\/7*w**3 - 24768\/7*w**2.\nAnswer: 2*(w - 4128)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + n = 4*h - 2*h, -3*h = -n. Let y(v) be the second derivative of 0*v**2 + h*v**3 + 0 + 4*v - 5\/6*v**4 + 0*v**5 + 1\/12*v**6. Factor y(p).\nAnswer: 5*p**2*(p - 2)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0.42, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9319 - -9317. Sort 0, -7, -4, k, 4 in increasing order.\nAnswer: -7, -4, k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/2 - 167*w**4\/2 - 255*w**3 = 0.\nAnswer: -3, 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r + 28644 = -639*r - 116*r - 301*r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3773 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -304dd6?\nAnswer: -304dda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**4 - h**3)*(-173 - 122 + 19).\nAnswer: -276*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-711 + -3)\/((-2)\/13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64353 - 32056. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. Suppose -d*c + 767 = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0 (c) -134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + sqrt(52)\/sqrt(4) + sqrt(13) + -1 + -4)**2.\nAnswer: -24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -712.36295 to one dp.\nAnswer: -712.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/24*(-127)\/(3810\/(-9))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42573 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3871160 divided by -774232?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 19 = d, 2*d + f + 3*f + 50 = 0. Let c = 6 - -22. Let o = c - d. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 + -46. What is the remainder when 209 is divided by p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**8\/6720 - w**7\/2520 - w**5\/60 + w**4\/8 + 3*w**2. Let y(q) be the second derivative of t(q). Calculate y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-2*sqrt(204)*1)\/(sqrt(36)\/(sqrt(3)*-1)))*5)**2.\nAnswer: -400*sqrt(17) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30)\/(23\/((-11592)\/(-77))).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1153, -2, -1, -0.366.\nAnswer: -2, -1, -0.366, 1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/33*6 - (-994)\/462\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.705 and 8.718.\nAnswer: 6.14619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/30 + 2\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*m - 99155, 2*m - 19831 = m - 4*a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let t = 12099 - 5776. Let c(h) = -t - 21*h**2 + 6323. Determine c(i(n)).\nAnswer: -21*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 125. Let w be i(33). Let a(b) be the third derivative of b**4\/24 - b**3\/2 - 3*b**2. Let q be a(6). Solve w = q*j + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -11 + 27. Suppose 4*v + 300 = 2*a, 2*a + 4*v + 604 = 6*a. Let u be a\/6 + z\/6. Round u to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.87 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 169*n**2 - 8*n + 7. Let q be g(1). Let z = -167 + q. Suppose b - 4*r - 23 = 0, -3*b + 4*b + 4*r + 9 = 0. Put b, -2, z in decreasing order.\nAnswer: b, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 - 18*n - 18. Let p(g) = g + 7. Let u(t) = -1. Let a(f) = p(f) + 6*u(f). Give -18*a(m) - b(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 25768923.\nAnswer: -4\/25768923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y + 8*y = 40 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63836470.\nAnswer: 2, 5, 37, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*g + 6 + 12, 3*x - 3*g - 6 = 0. Let s = 6 + x. Suppose -2*m = -2*n + 10, -10 = 4*n - m + 3*m. Solve n = z + 1 - s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102171 is divided by 34026?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7420 and 51\/432692.\nAnswer: 15144220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23*(-2)\/(-4))\/(1122\/1309*(-14)\/24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2432.098t?\nAnswer: 2432098000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 70*q**2 + 265*q + 34. What is m(66)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 4\/5 (c) 4 (d) -7231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1534*v**4 + 2220*v - 1020*v**4 + 1000*v**4 + 768*v**4 wrt v?\nAnswer: 27384*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 f when three letters picked without replacement from {d: 7, f: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vejevvjevejvjvvj. What is prob of sequence jjvj?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -107?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2562981 is divided by 98576.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(162) + -2 + 4)*2 - (3*sqrt(162) + sqrt(162))*-5*-4))**2*-4*-4.\nAnswer: -808704*sqrt(2) + 141929856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/17 - 66*v**4\/17 + 690*v**3\/17 - 1910*v**2\/17 - 5772*v\/17 + 24336\/17 = 0.\nAnswer: -3, 4, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 4) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 14. Suppose -4*i + 3*v = -52, -v - d = i - 8. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times -593.7?\nAnswer: -33840.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*g**2 - 28*g**2 + 8*g**2)*(1 - 2 - 2) + (2*g + 1 - 1)*(3*g - 2*g + 0*g) + (-g + g - 2*g)*(4*g - 4*g - 2*g) to m + r*g**2 + l*g and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 4*a**2 - 5. Let n be r(-3). Suppose -n*q - k = -0*k - 14, q + k = 2. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5011 = 6*t - t - 4*u, 2*t - 2009 = -3*u. List the prime factors of t.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164.3 - -323.3. Which is greater: -12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 141 = 12*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 11:26 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*h - 1089*h**3 + 1090*h**3 + h to the form y*h + j*h**3 + g*h**2 + m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 417023 or 417019?\nAnswer: 417019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 1195*q**2 - 3067700*q + 6140140.\nAnswer: 5*(q - 911)*(q - 2)*(q + 674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b, -2*a + 8532 - 2347 = 3*b. List the prime factors of a.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.4 and -29218834?\nAnswer: 29218829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = 4*i, 2*a + 7*i = 3*i + 20. Suppose 0 = -4*k - 30762*r + 30765*r + 32, -3*k + 14 = -r. Calculate the smallest common multiple of a and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(2\/(-54)). Let h = 12 - f. Solve -r + h*n - 2 = -n, -4*r - 8 = n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61286 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1608407280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44299, -44329, -44361, -44395, -44431, -44469?\n\"Answer: -n**2 - 27*n - 44271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13. Let r be 18 + (-3 - (v + -3))\/(-1). What are the prime factors of (48\/(-18))\/((-2)\/r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. Let n(k) be the third derivative of -11*k**4\/12 - k**3\/6 - 322*k**2. Is 5 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -36. Suppose 3*l = 3 - 6. Let v be (-5 - -6) + l\/(-17). What is the biggest value in s, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0, -5.\nAnswer: -5, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661.1913g to tonnes.\nAnswer: 0.0006611913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.064 and -1785.\nAnswer: 114.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.3 - -7.7. Let u = 84 - x. Let j = u - 30. Which is the third smallest value? (a) -5 (b) j (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -q - 3*q + 24, -16 = -4*q + 2*d. Suppose -6*r = -5*k - r + 1100, 0 = 2*k + 3*r - 440. Suppose u + k = q*u. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/2 + 6. Let d = -1.9 + 1.45. Let t = d - -0.05. Which is the closest to i? (a) 0.3 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 - (-1)\/((-5)\/(-10)*-2). Let i be 40\/(-10) + 1\/(c\/50). What is the third smallest value in -5, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let r(h) be the second derivative of -2\/3*h**4 - 8\/3*h**3 + 0 - 6*h**2 + 14*h - 1\/20*h**5. Let z(d) = o(d) - r(d). What is v in z(v) = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1828*c = -1819*c - 621. What is the smallest common multiple of 253 and c?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -29. Suppose -4*t - 4*o = -4 - 12, -2*o + 4 = -2*t. Let f be (-230)\/110 + 1 + t. Put f, y, 3\/5 in decreasing order.\nAnswer: y, 3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59, 208, 435, 734, 1099, 1524, 2003?\n\"Answer: -l**3 + 45*l**2 + 21*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 + 10 - 10 = 4*j. Calculate the greatest common factor of 259 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.140742 to two dps.\nAnswer: -5.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -5. Suppose f*o = 4*o + 294. Let z = o - 16. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 - 19 + 8*q + (1 + 0 + 1 + 1 - 5 + 3 + (-3 + 5 - 4)*(0 + 2 - 4))*(4*q - 4*q - q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h - 17. Let f(k) = -36*k - 50. Let p(s) = 6*f(s) - 17*y(s). Let m(z) = z + 1. Let t(d) = 66*m(d) + 6*p(d). Determine t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000030696 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828428357 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b - 6. Let l(h) = h**2 - 13*h - 13. Let a(u) = -6*l(u) + 13*s(u). Let w(q) = q. Calculate a(w(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 10. Let y be r(8). Solve 0 = 3*s - 12 + y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 73. Solve u - c = 4*q, 0 = -5*u - q - 16 - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2463.1 + -2463. Let a = 0.294 + 1.706. Sort 5, -10.3, q, a.\nAnswer: -10.3, q, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 2)*(-5*y + 0*y + 2*y) + (-3 + 3 - 3)*(-4*y - 2*y + 3*y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*r - r, g + 3*r + 11 = 0. Suppose f + 0 + 5 = 0. Which is the biggest value? (a) f (b) -2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 96, 144, 192, 240, 288?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3964992 is divided by 276.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46581 plus -202?\nAnswer: 46379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.1, -661, -2\/143?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 66.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) -49\/2 (c) 14 (d) 3 (e) -2\/11 (f) 45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 12 = 0, 4*q - 13*o + 9*o - 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1579919.469676 - -2172639.8696655. Let i = -592722.8 + x. Let s = -2.4 - i. Round s to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**3*u**2 - g**3 + 1140*g**2 - 41562*g*u - 2*u**2 + 281 with respect to u.\nAnswer: -14*g**3*u - 41562*g - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 17857962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 1 + (-2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 3, v: 1, x: 6, k: 1}. What is prob of picking 1 k, 1 v, and 1 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1180, 1445, 2144, 3493, 5708, 9005, 13600?\n\"Answer: 36*s**3 + s**2 + 10*s + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 34 = -100. Let o(g) = 45*g**2 - k*g**2 - 16*g**2. Let v(q) = q. What is v(o(a))?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43683 not equal to 43686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/(-140))\/(30\/96).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 55, 45, 35, 25, 15?\n\"Answer: -10*x + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3315 and 14586?\nAnswer: 72930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2\/3*a**2 + 2\/3*a**3 + 2\/3*a**4 + 0 - 2\/3*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/194 (b) -110 (c) -0.4 (d) -2 (e) 0 (f) 911\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*n + 43, 0*q + 3*n = -3*q + 57. Suppose -q = -3*p - p. Suppose -3*x - x + 139 = p*m, 8 = -2*x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3256060, 3256494, 3257218, 3258232, 3259536?\nAnswer: 3261130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -9, 0, 35, 6 in descending order.\nAnswer: 35, 8, 6, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y**(-2\/9)*y)\/y*y**(1\/6))\/(y\/(y\/((y*y*y\/(y\/(y\/(y**1*y)))*y*y*y*y)\/y)))**(4\/27))\/((y*y**(-2\/3))**(-21))**(-21) assuming y is positive.\nAnswer: y**(-7811\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 5*z**2 + z**2. Let u(d) be the second derivative of -d**4\/6 - 2*d. What is u(w(j))?\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10647014 a multiple of 1710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-4076)\/2036)*-2. Suppose -5*y - 2*y + 19*y = -4*y. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2170\/(-1519)*(4*7)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 10*w**2 - 8. Let d be m(8). What is the highest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93 + -310?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -132, -541, -1224, -2181, -3412, -4917, -6696?\n\"Answer: -137*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52380 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -892 in 6, 5, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.532 years in millennia?\nAnswer: 0.322532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021312 (base 5) to base 3.\nAnswer: -212102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-159)\/(-4) + (-2)\/(-8). Suppose k + k - u = 0. Calculate the lowest common multiple of -8*3\/(-12)*5 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)**26\/((g*((g*g*g**(-1)*g)\/g*g)\/g)\/g*g\/(g**(-5)\/g)*g) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -60217.7 rounded to the nearest one hundred?\nAnswer: -60200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 3369*v**2 - 3366*v.\nAnswer: -3*v*(v - 1122)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w**(-1\/4)))\/w)**(-1\/35)\/((w**(-1\/3)*w)\/w**6))\/((w**(-1\/2)*w\/(w**1*w))\/(w\/(w*w**(2\/3)))**(8\/9)) assuming w is positive.\nAnswer: w**(23563\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/5 not equal to -233.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3967859*-0.5\nAnswer: -1983929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 2. Let h(w) = -54*w**2 - 7*w - 5. What is -3*f(z) - h(z)?\nAnswer: 54*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 7. Let u be o(-5). Let d be 7\/u + 3\/(-6). Let x = d + 22. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -46. Let q be -9 + 0 + (-8)\/(-4). What is the second smallest value in 3\/4, q, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.16 and 79902.\nAnswer: 79917.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -68*l + 69*l - 22, 0 = -2*n + 2*l + 16. Suppose 4*q + 108 = -5*z + 4*z, 135 = -n*q - 5*z. Is q less than or equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*3\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31139?\nAnswer: 31139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6 - -3) + 1\/1. Suppose a = -4*i - 3*o + 134, 19 = -3*i - 5*o + 125. Let r be (-136)\/i + 2\/8. Sort -3, -1, 4, r.\nAnswer: r, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 10*l - 1. Let c = 263 + -236. Calculate the remainder when t(-7) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k - 2*k. Let v be (34\/10)\/((-6)\/k). Let t = 7\/2 - v. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 29*g**2 + 5*g**3 + 0*g**3 - 7*g**3 to the form d*g**3 + z*g**2 + n + s*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -4, -259?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**4 - 2*v**3 - v**2. Suppose 0*d = d - 2. Let k(r) = 3*r**4 - r**3. Let i(o) = d*t(o) - 7*k(o). Factor i(q).\nAnswer: -q**2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -2. Let r(f) = -f**2 - 16*f - 19. Let d be r(-14). Suppose 3*i + 4*z - d = -0*i, 13 = -i + u*z. Is i less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -126, 5\/4, 261707 in descending order.\nAnswer: 261707, 5\/4, -3, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - 125\/35)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*p**2 - 50*p**2 - 3*p - 13 - 32 wrt p?\nAnswer: -4*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -65\/6, 0.3, 0.2, 26.2 in decreasing order.\nAnswer: 26.2, 0.3, 0.2, -0.3, -65\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/2 + 7428*r = 0.\nAnswer: 0, 14856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (45\/(-10))\/((-2)\/4). Let i = -10 - k. Let g(o) = 6*o - 1. Let x be g(i). Solve -5*n = -5*f - 5, -2*f - 1 - x = -4*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 40 - 64. Let r(u) = -1 + 4*u - u - 6*u. Let j be r(z). Let i(h) = -h**3 - 7*h**2 + h + 5. What is i(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (165\/40)\/(-3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147820*f*k**2 - k**2 + 5039 with respect to f.\nAnswer: 147820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.947 + -5.952232. What is c rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*n + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -958\/7 + 204040\/1491. Let b = -48\/71 - i. What is the second biggest value in 0.5, 0.3, 8\/5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 205 = z, 108 = 2*z + 5*g - 227. What is the common denominator of (2 - -147)*(-1)\/(-78) and -1*595\/z*(2 - 0)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3619 and 39?\nAnswer: -141141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 7*i - 12. Let v be c(9). What is the derivative of -6 + v - 1 - r - 5 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2602 - -13958. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 51, 102, 167?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -27*a**4 + 42*a**3 - 18*a**2 - 12*a. Let z(c) = c**4 - c**3 + c. Let m(b) = n(b) + 15*z(b). Suppose m(d) = 0. Calculate d.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 + 131 = t - 4*h, -499*h + 44 = 6*t - 500*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*n**5 + 1386*n**4 + 11336*n**3 + 29506*n**2 + 28344*n + 8840 = 0. Calculate n.\nAnswer: -13, -10, -2, -1, -17\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378066.\nAnswer: 2, 3, 13, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00267130885 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1a9033 (base 12) to base 13\nAnswer: 136980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -104433 (base 5) to base 16\nAnswer: -e9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0491 from 5228.\nAnswer: 5228.0491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 = -3*s + 8, -4*s = 3*d - 33. Find the second derivative of -31*y + d*y**3 - 6*y**2 - 50 + 50 wrt y.\nAnswer: 42*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*h + 115*h + 2*h**2 - 1)*(7228 - 2677 + 7545).\nAnswer: 24192*h**2 - 12096","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3 + 4 + z**2 + 0. Let c(m) = 6 - 3 - 2*m**3 + 3*m**2 - 1. Let n be ((-3)\/1 - -3) + -1. Calculate n*c(j) + 3*l(j).\nAnswer: 2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000320963 rounded to 7 dps?\nAnswer: -0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3969, 3365, 2357, 939, -895?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*d**4 + 39*d**4 + 10*d**4 + (3 - 4 + 0)*(5 - 5 + 2*d**4) + 9 + 6*d**4 - 9.\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -659*r**2. Let y(f) = 6*f. Determine y(m(s)).\nAnswer: -3954*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 - (-18)\/(-4)*290\/261 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10536 minus 947.364?\nAnswer: 9588.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 20*z + 33. Let s(o) = o**3 - 40*o**2 + 374*o + 43. Let p be s(25). What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (0 - (6 - 3) - (-148 - -142)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 301084 = -91726. Find r, given that -r**2 + l - 47586 - 704*r + 5*r**2 = 0.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 25 - (14 + (-1 - (4 + -3 + 3)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - ((-3 - -13) + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 4)*((-16)\/10 - -2). Let t(v) = v**2 + 7*v - 10. Suppose 45 = 5*y - 25. Calculate the remainder when y is divided by t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 plus -146?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*h - 5*p, h + 10*p - 18 = 5*p. Suppose h = a + 1. What is the highest common divisor of 10 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 2540 = -13*c. Let j = 646 - c. What is the greatest common divisor of j and 1485?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 1249, 0.2, 23\/3, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6\/30557?\nAnswer: 6\/30557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 2, r: 8, d: 1, n: 3, s: 1}. Give prob of picking 2 n and 1 w.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.141 - 9.1. Let a = -0.08286 + 10.64186. Let r = a + s. What is r rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/189)\/(-8) - (-2)\/(-7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from {r: 1, u: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24996 divided by 5\nAnswer: -24996\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + 290. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134 - 12.45?\nAnswer: -12.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3532 + -3531. Which is the third smallest value? (a) i (b) -2\/9 (c) 1\/12 (d) 1\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - 3*g + 7. Let x be l(-4). Let n = x + -35. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4 - 1. Suppose -3*d + 2 + s = 0. Suppose -9 + d = -2*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -47*q**5\/60 + 25*q**2. Let m(c) = -c. Give w(m(h)).\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 58*z - 682. Calculate the smallest common multiple of 1485 and c(22).\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:13 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*j - 0 + 2, 2 = j for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 6*a - 32*a + 47*a - 62.\nAnswer: a - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/22 + 2\/11. Which is the closest to 2\/5? (a) -1\/7 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 32 = 2*p, 10*p - 5*p - 28 = -k. Let x(f) be the second derivative of -f**3\/2 - f**2 + 5*f. Let j be x(-6). Is j greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 0.1 (c) 4\/9 (d) -3 (e) 1 (f) -16 (g) -15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 3*f - 3*f)*(-860*f + 353 + 530 + 861*f) as k*f**2 + q + r*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (3 - 606\/162*3))*-2\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 22\/7*z - 15 - 1\/7*z**2 = 0.\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 6. Let o(s) = -2*s**2 + 7. Let k(z) = -7*j(z) + 6*o(z). Let x(n) = -31*n**2. What is x(k(u))?\nAnswer: -124*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -6. What is the remainder when j is divided by 1*6*50\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65132297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1603444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q + 39*q + 40*q + 34*q - 148*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 37. Let z(a) = -12*a - 19316. Determine 5*i(m) - z(m).\nAnswer: 2*m + 19501","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 89850 divided by -75\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -29*n**2 - 11*n - 18. Let p(t) = -43*t**2 - 12*t - 17. Let f(i) = -2*p(i) + 3*v(i). Factor f(l).\nAnswer: -(l + 4)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -23, 6, -2\/9, 1, 658, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.96 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, -4, 1\/140, -2?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83017422*g**4 + 58534021 wrt g?\nAnswer: 332069688*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 8, 149, -2, 3, 4 in increasing order.\nAnswer: -60, -2, 3, 4, 8, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 262\/11 - 16092\/671. Suppose -113*m = -107*m - 6. Which is bigger: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/j)\/((j\/((j*j*j\/(j\/j**(2\/19))*j)\/j*j))\/j)*j*j**(-6)*j*j\/j**(2\/21) assuming j is positive.\nAnswer: j**(-2390\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -44. Let z(r) = -r**3 + 6*r**2 - r + 6. Let l be z(n). Find the second derivative of -3*g**3 + 3*g + l*g**3 - 4*g wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 4*x**2 + 42*x - 112. Let l be q(3). Let w be 770\/40 + 2\/(-8). Suppose -5*r - 1 = w. Put l, r, -2, 4 in ascending order.\nAnswer: r, -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.378779 decades to millennia.\nAnswer: 0.02378779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 499806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 + (-110)\/(-7). Suppose 5*g = 4*g + 112. Calculate the greatest common divisor of h and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - sqrt(170)*-2)*6)\/(sqrt(100)\/sqrt(250)))**2 - (-4 + (1*-2*sqrt(85))\/sqrt(5))**2.\nAnswer: -16*sqrt(17) + 137616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-639)\/(-426)*26\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 + 4.819. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 691.109 or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15 - (-77)\/(-63))*1\/(-10) and 11\/3?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1631942\/3 or 2?\nAnswer: 1631942\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {x: 5, u: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 22. Let a be z\/25 - (-103)\/5. Let f = 80 - a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9*3*2. Suppose -123 - 85 = f*d. What is d rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 9771*t**3 - 18238995*t**2 - 9576377833*t.\nAnswer: -t*(t + 1129)**2*(t + 7513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.051 and -2.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.09, 5\/6, 2, 0, -1035?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -679*k**5\/60 - 2715*k**2. Let p(n) = 4*n. Give p(c(x)).\nAnswer: -2716*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/1437 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4972)\/(-28) + (-12)\/21. Suppose -1597 = -5*u - x. Let c = 475 - u. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964\/5 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)\/(31 - 2488\/80)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196893 and 2751?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 2*n. Suppose n*p = -2*l + 45, -3*p - 41 + 4 = -2*l. Suppose 2*v + t - l = -t, -2*v + 3*t + 45 = 0. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - (-22)\/(-56). Is 2\/7 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 2*a**2 - 5*a - 1. Let m(v) = -v**3 + 1. Let r(d) = -g(d) - 3*m(d). Let j be r(3). Solve -o = -4*q - 18, -3*o + 3*q + j = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 6, s: 1, f: 1, l: 4}. What is prob of picking 2 l and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -8. Let m be 8\/s*15\/(-6). Is ((-2)\/(-3))\/(m\/318) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 53*o + 451. Let l = 37964 + -37975. What is f(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, -615858, 5 in ascending order.\nAnswer: -615858, -13, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95355*b + 44753*b - 109289*b.\nAnswer: -159891*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -23b?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 4*o**2 + 3*o + 2. Let g be i(3). Let x(c) = c**2 - 14*c + 48. Let w be x(6). Solve f + g*p = 3, -2*p = -w*p + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5314904 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -184\/14577?\nAnswer: -184\/14577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.286862 months to millennia.\nAnswer: 0.0006072385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**5\/13 - 718*p**4\/13 - 22284*p**3\/13 - 237870*p**2\/13 - 774900*p\/13 = 0.\nAnswer: -287\/2, -15, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11176 and 7239.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17103019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002 (base 3) to base 13.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2410333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -10*c + 8. Let z be 7 - (2 - c) - (-1 - -4). Calculate the highest common factor of z and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:45 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 55, 66, 63, 46, 15, -30?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159.99999237 + -160. Round p to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-10)\/(-4) - 1). Suppose 0 = c - j - 4. Let f = 10 + -6. Calculate the smallest common multiple of c and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16608\/1656 + (-54)\/1863.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-55)\/(-20))\/11.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87\/11 - 85\/11. Factor 18\/11*m**2 + 54\/11*m + v*m**3 + 54\/11.\nAnswer: 2*(m + 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -554 - -561. What is the common denominator of (-70)\/(-36) + 2\/(-6) and 2\/(3 - o\/((-266)\/(-122)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.778 + 0.022. Let s = m - -0.2. Let c = -15 + 11. What is the smallest value in c, 1\/3, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104097705 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 8, -23.2, 1\/5, -134, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 3:25 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 354 + -354. Solve o - 7 + 2 = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1.81, 0.1, 15, -4\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 737310, 736759, 736208?\n\"Answer: -551*m + 737861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**5)\/(g**(-1\/2)*g*g)*g*(g*g*g*(g**(-6)\/g)\/g*g*g*g)\/g*g**(-5)*g*g)**(-37))**(2\/21) assuming g is positive.\nAnswer: g**(703\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 46*f**2 + f - 13. Let x be p(21). Let h = x + 37611. What is h rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 12*j - 15. Calculate w(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l**3 - l**2 - 2*l - 8. Let g be n(-7). Calculate the remainder when 6\/10 + g\/(-110) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1775*g**3 + 2*g**2*y**2 + 299*g**2*y + 18*g*y**2 + 177*g*y - g - 5*y**2 - 6*y wrt g.\nAnswer: -10650*g + 4*y**2 + 598*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39298279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103543 is divided by 1218.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.93 - -4. Let z = -61.23 + 62. Let m = z - b. What is m rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5122964 and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -972 - -5424. What are the prime factors of z?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/13, -0.4, 14895, -3 in increasing order.\nAnswer: -3, -8\/13, -0.4, 14895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, 0.13, -41.19?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 4*t + 3. Let p be h(-2). Let f = p + 19. Let z = f + 51. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -73. Let i be (-2 - (-50)\/13) + m\/13. Suppose -i = 3*l + 4, 3*x = -5*l + 119. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 742*z + 620. Calculate w(-1).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -p + 16, p = 3*p + 3*o - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7405988 is divided by 230?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1316.45 + -1345. Let w = o - -28. Let y = 0.85 + w. What is the closest to 2 in 2, 18, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:13 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 24, 63, 126, 219?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 15) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**2 - 28*h + 51. Let q(d) = -4*d**2 - 14*d + 25. Let g(y) = -5*q(y) + 2*u(y). Is g(7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810 and 2121363.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16671*s - 450110. Determine c(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 75*z**2 + 149*z + 222. Let g be p(-73). Solve 143 = -g*u + 134 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 659 and 2390193?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 332799 = -207195. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 562*o. Let c(q) = -842438*q. Determine 3*c(p) + 4496*h(p).\nAnswer: -562*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66326 is divided by 948?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2 - 2)*(13*z**3 + 42 - 42) + 2*z**5 - 2*z**5 + z**5 - 2*z**3 + 2*z**3 - 2*z**5 + (-5*z**5 + 3*z**5 + z**5)*(1 + 0 + 0).\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012222210210 - -111?\nAnswer: 1012222211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 56919 in descending order.\nAnswer: 56919, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084499420?\nAnswer: 2, 5, 113, 541, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21398.65401092 from -0.3.\nAnswer: -21398.95401092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*(-4 + (-13)\/(-3)). Suppose -b*s - u = -0*u - 31, -4*s = 4*u - 44. Let k(g) = s*g - 3 - 11*g + 3. Let o(w) = -4*w**2. What is k(o(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1887*r**4 - 3297*r**3 + 2*r**2 - 2764*r + 5134?\nAnswer: 22644*r**2 - 19782*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 49. Suppose 7*x + 2*c = 2*x, 35 = v*x - 5*c. Find the first derivative of 6 - 5146*y**3 + 5120*y**3 + 3*y**x - 3*y**2 wrt y.\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 26418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 36107368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*y = 403 + 38, -5*k = -2*y - 2124. What is k rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -1\/2*i**3 - 2 + 48*i - 1\/20*i**5 - 1\/4*i**4 - i**2. Determine q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612758 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 11*g - 25. Calculate p(10).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-7) - (1 + (-1)\/(-1)). Determine k, given that -6\/7 + 4\/7*k + t*k**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6*l - 3*y - 8, -l = 5*y + 19. Let f(m) = -l + 2*m**2 - m**2 + 1. Let o(n) = -2*n. What is f(o(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = -1. Suppose 0 = -0*o + h*o. Suppose -5*v - 3*s + 21 = o, 4 = 2*v + s - 4. Solve -v*q + 1 - 2 = 5*x, 2*x + 2*q - 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 291*k + 84. What are the prime factors of j(-57)?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {w: 1, e: 5, s: 5, f: 1, l: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 + 13*s - 12. Let u be i(11). Solve -a = -u*a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95272034.\nAnswer: 2, 11, 13, 179, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 2. Let c = -142 + 147. Let g(y) = -2*y - 4. Let s(v) = v + 1. Let x(d) = c*s(d) + 2*g(d). Calculate 4*l(o) - 3*x(o).\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - 1545\/(-35))*14\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10855*k**2 + 2704*k**2 + 2683*k**2 + 2708*k**2 + 2708*k**2. Let z(y) = 22*y. Determine l(z(t)).\nAnswer: -25168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00084521 to five decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-30)\/(-12)))\/(1\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 13*z - 17*z**2 - 5*z - 6*z + 23*z to the form a*z + k + y*z**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -30. Let v(k) = n*k - 9*k - 12 - 11 + 24. Calculate v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - -1 - (613 - 614)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - z - z = -62, -4 = -2*z. Let p = -25 - g. Suppose -5*o = -l - 485 + 7, -l - 190 = -2*o. Calculate the remainder when o is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 12:31 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373.497473 rounded to 1 decimal place?\nAnswer: 4373.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 + 4*o + 4. Let a be f(-4). Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:08 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 2, k: 6, a: 10}. Give prob of picking 2 a and 2 k.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14834170 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1175140477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 65. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(2 + 0 - 3)*(-2*r**2 + 0*r**2 + 4*r**2 + (18*r - 390 + 390)*(18 - 18 + r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**3)\/y*y*y**(1\/5))**35)**(6\/25) assuming y is positive.\nAnswer: y**(-168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 157.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 227595?\nAnswer: 3641520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12377 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 4 - 4*v + 6*v + v**2. Suppose -2*s = -4*w + 16, -3*s + 2*w + 6 = 26. Determine l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/8*1*(-52)\/390?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6668, -6675, -6656, -6599, -6492, -6323, -6080, -5751?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 9:56 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c - 79 + 79 in the form l*c + s and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*d - 1773*d - 6455*d.\nAnswer: -7629*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21)\/(4\/(-10)*(-110)\/396).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 272661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 12, h: 1}. What is prob of picking 2 t and 1 o?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2763019 decades to centuries.\nAnswer: 0.02763019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 11 = -25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 41) + -28 + (37 + -30 - -31)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211201357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -321421 (base 7) in base 13?\nAnswer: -1c507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -47*a + 270. Let r be m(5). Let -125 + 182*o**4 - r*o**2 - 205*o - 25 + 25*o**3 - 177*o**4 = 0. Calculate o.\nAnswer: -5, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, -1, -40, -105, -202, -337?\n\"Answer: -v**3 - 4*v**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -526, -787, -1050, -1315?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 67. Let c(y) = -4*y + 134. What is -6*c(u) - 11*k(u)?\nAnswer: 2*u - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4)*s)**(-4)*(s\/(s\/s**(2\/5)))**30 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23880479.4s to days.\nAnswer: 276.3944375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -3*g + 4*a + 13, -39*g - 2*a - 20 = -41*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3091203 is divided by 307.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = -0*o. Suppose o*g - 35 = -g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/3*b - 4\/3*b**2 + 56.\nAnswer: -4*(b - 3)*(b + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c75 - 6?\nAnswer: 5c6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/(((-9)\/10)\/3). Suppose 0 = m*c - 2766 - 1509. Is 3 a factor of 1\/(4 + c\/(-215))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 25 (b) -2\/9 (c) 12 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 4*n - 2*n, -5*n = 3*d - 15. Solve -6*c + 5*c + 4 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 12) to base 8.\nAnswer: -1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 50, -0.2, 9\/5, -2, -76?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 536*n**4 - 284*n**4 + 2*n**2 - 350*n**4 - 324*n wrt n?\nAnswer: -2352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8 + y + 1 + 0 + 9. Calculate the remainder when m(8) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 3752*x\/3 + 3751\/3.\nAnswer: (x - 3751)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9995243, 9995238, 9995229, 9995216, 9995199, 9995178, 9995153?\nAnswer: 9995124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*o + 2 - 1 - 92*o - 2 as h + y*o and give y.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 15. Let q be m(-19). Let p be (-2)\/9 - -38*q\/(-36). Let w(x) = -x + 4. What is w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 2*g - 5*n - 25, 2*g - 8 = 4*n. Let s(m) = 1. Let b(z) = -4*z**2 - 2. Determine g*s(h) - b(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:48 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*162\/180?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 246 - 330. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let a(y) = 15*y**2 + 27*y. Let n(k) = -30*k - 5*k**2 + 30*k + 4*k**2. Let r(s) = w*a(s) - 6*n(s). Find the second derivative of r(f) wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/47 and -34\/7.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(612) + 2 - (-2 + sqrt(612) + sqrt(612) + 1 - (sqrt(612) + sqrt(612) + sqrt(612) + 1 + -4 - sqrt(612) - sqrt(612))))**2*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 14*q + 13. Calculate p(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15697424000 to the nearest 1000000.\nAnswer: -15697000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 10*y - 7. Let m be a(-6). Solve 0 = -3*g + 12, 7*k = 4*k - m*g + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -373587.9531 - -373721.953099775. Let t = k - 134. Round t to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/35180 and -23\/110.\nAnswer: 386980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102212 - 102101200111?\nAnswer: -102101020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 - 27*w. Let z(i) be the second derivative of -i**4\/12 + 2*i - 88. What is u(z(q))?\nAnswer: 6*q**4 + 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 4 - 29782*x**3 - 3*x**2 + 8 - x**2 - 2*x**4 + 29779*x**3 + 42*x in the form t*x**2 + w*x**4 + d + s*x**3 + h*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 199*y - 634. Is x(46) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50356 or -704993\/14?\nAnswer: -50356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*y + 45, -7*i + 2*y + 75 = -2*i. Suppose -u + 239 = 4*a, 2*a = 3*u + 122 + i. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12894)\/(-5526))\/((-889)\/6).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*p - 24 + 21*p**3 - 7 - 53 + 8*p**4 + 109*p wrt p?\nAnswer: 96*p**2 + 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from rovrroorvvvsv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 2, p: 2}. Give prob of sequence vp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (-12 + 31 + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + -4 + 1 + -1*sqrt(432) + (sqrt(432) - (-1*(-3 + sqrt(432)) + sqrt(432) + sqrt(432)) - (-3 + sqrt(432) + -1 - sqrt(432))))**2.\nAnswer: -48*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1061.04 * -7.67\nAnswer: 8138.1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x + 10*x = 12240. Calculate the greatest common divisor of 408 and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2, -1\/2, 4138?\nAnswer: 4138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**6\/75 + 12*x**4\/5 - 1296*x**2\/5 - 102*x. Factor l(o).\nAnswer: -2*(o - 6)**2*(o + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:39 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/4140)\/(2*5\/(-300)).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1. Let a be 2 - (-1 - -5) - -7. Let w(g) = -2*g - 22. Let o(c) = a*j(c) + w(c). What is the least common multiple of 3 and o(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:06 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 18 - 48 = 0. Calculate the lowest common multiple of n and 188.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101092 and 0.1?\nAnswer: 10109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = -0. Let v(y) = -y + 44*y**2 - 47*y**o + y. Let i(f) = -3*f**2 + 0*f**2 + f**2. Determine i(v(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 2 + 1)\/((-4)\/(-272)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/182 - 51\/84 - 13.\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 - 4*t - 23. Let p be f(6). Put -4, p, 4 in descending order.\nAnswer: 4, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118\/155 + 653\/372. Find the common denominator of p and -55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 292 and 73478?\nAnswer: 10727788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-12))\/((1 + -6)*(-980)\/(-3675))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4448804 is divided by 2224398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 + 2004. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -28 - 31 - 1 - -25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*g**3*z**4 - 23*g**3*z - 17667*g**3 wrt z.\nAnswer: 56*g**3*z**3 - 23*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.421 times 0.5?\nAnswer: -0.2105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -2050061?\nAnswer: -2050041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9286302*n**3 + 5*n**2 + 184658*n wrt n.\nAnswer: -55717812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 95. What is the remainder when y is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00113157227 to five dps.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -1 (c) -14.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42340 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 2, h: 1, z: 1}. What is prob of sequence xxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 11*o**2 + 7*o - 5. Let x be u(1). What is the highest common factor of x and 11874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1484474234 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20165 + -20189. Let w(n) = -n**2 - 28*n - 92. What is w(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -441858*j*y**3 - 4*j - 423734*y**3 wrt j?\nAnswer: -441858*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681238254 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -19*h - 89. Let p be b(-5). Solve -p*d + 11 = 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*(0 + sqrt(19) + sqrt(19) + sqrt(19))**2)*2.\nAnswer: 2*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -4\/7, 69?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**2 - 21*n + 9. What is m(4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ioli.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43903*w**4 - 4441*w + 4.\nAnswer: -526836*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*f - 5*b**2*r - 365*b*r**3 + 16*f*r**3 + 485*f*r with respect to b.\nAnswer: -4*b*f - 10*b*r - 365*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.9827 + -0.0827. Let j = s + -74.9. What is the nearest to j in -3, -0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3165 and 355535?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4181 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -3. Suppose -4*n - 2*t + 11 = -11, 2 = a*n - 2*t. Suppose -1280 = -0*u - n*u. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 1 + 10*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + 100*x**3 + 77*x**2 - 2*x - 6003276?\nAnswer: -12*x**2 + 600*x + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172049111867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 66. Let a(f) = f**2 + 3*f - 65. Give -2*a(h) - 3*p(h).\nAnswer: -2*h**2 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/8 - a**3\/6 + 33*a**2. Let y(s) = 5*s - 1. Determine -7*b(i) + 4*y(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 30*a**2 - 50*a - 1. Let w be v(-12). Which is bigger: -1854\/7 or w?\nAnswer: -1854\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143.77 - -72.23. Is -3\/2 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 166. What is the second derivative of 29 - 39*m - 13 - 16 - f*m**2 wrt m?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 643 - 631. Suppose -7*c + n*c = 5*a + 42330, -c + 8464 = a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -99*z + 29. Is x(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 1. Let r(u) = u - 6. Let z(c) = -6*d(c) + 2*r(c). What is the tens digit of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356 + -236. Suppose g - 89 - k = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10130324374 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 + 5*k + 9. List the prime factors of b(5).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(112)\/sqrt(2) + (2*sqrt(8064) - sqrt(56)))\/(-2*(sqrt(8) + sqrt(8)*1)*3)*-3.\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3991*y + 7752*y - 3761*y - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f - 94. Let b be m(-13). Let h(g) = g**2 + g + 4. Let i be h(-5). Let t = i + 6. Calculate the greatest common divisor of b and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 + 120212102120?\nAnswer: 120212100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 790452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512761, 2050970, 4614641, 8203774, 12818369, 18458426, 25123945?\nAnswer: 32814926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64727 is divided by 15542?\nAnswer: 2559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g + 1. Let o(q) = -15*q**2 + 31*q - 9. Let p(j) = -23*j**2 + 48*j - 14. Let m(r) = 8*o(r) - 5*p(r). Calculate m(b) + 6*t(b).\nAnswer: b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 142\/17 (b) -8 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i + 4*i**2 + 0*i**5 - 1\/30*i**7 + 0*i**3 + 0 + 0*i**6 - 3\/8*i**4. What is the second derivative of a(b) wrt b?\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 * -447\nAnswer: 11622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10656176 divided by -4\nAnswer: 2664044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154639 is divided by 1360?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyg when three letters picked without replacement from uggvvuvgyvvvvgv?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 146, 151, 156?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2160 - -71336\/33. Calculate the common denominator of q and 22\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8126679, 16253353, 24380027, 32506701, 40633375?\nAnswer: 48760049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -571.1513 to 0 dps.\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292735.7l to millilitres.\nAnswer: 292735700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6201679 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 363488 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 4, 3.\nAnswer: -8, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 17*v**2 - 13*v - 55. What is the smallest common multiple of p(18) and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128c + -4a?\nAnswer: -1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:43 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.697 plus -0.3?\nAnswer: 14.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827432893?\nAnswer: 7, 83, 359, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -r + 10, 5*r - 4*v = -2*v + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + m - m**2 + 6*m - 3*m + 4 to n + f*m + w*m**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -808448500*a**6 + 4*a**2 - 56*a + 64289 wrt a.\nAnswer: -97013820000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = 2*x, -4*x = -x + 3*r - 3. Let v be 6\/(3\/3) + x. Let 2\/9*b**5 + 4\/9*b**4 + 0*b**2 + 0*b + 0 + 2\/9*b**v = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u\/(u*u**(-8\/3)*u)))\/(u*(u**(-2\/27)*u)\/u)**(9\/10) assuming u is positive.\nAnswer: u**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000206 (base 7) to base 16.\nAnswer: 5631b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:25 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 37 - (-4 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113\/9 + 517\/72. What is the common denominator of d and -107\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (7 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + (-5 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -9*r + 3*y + 27, -13 = 2*r + 5*y. Suppose -r*p - 2298 = -9*p. List the prime factors of p.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 3*h**2 + 5*h**2)*(0*h**2 - 8*h**2 - 6*h**2)*(0 + 0 - 2)*(-h + h + 2*h).\nAnswer: 168*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103984 + -60121. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6, w = 5*l + 16 + 36. Suppose -s = o - 44, -2*s = o + 14 - 61. Does 28 divide 2*o*(25\/l - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 22*j - 117. Let u be x(-14). Let r(p) = 3*p**2 + 15*p + 63. Calculate the lowest common multiple of 99 and r(u).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 42*q**2 - 140*q - 1271. What is k(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 24. Suppose -i*x - 4*d - 2 = 0, x + d + 1 = 2. Let y be (-4)\/3*x\/(-2). Solve -16 = -3*o + 2*g, -4*o - g + 1 = -y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5 (c) -2\/2429 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 14. Let g be 17\/(-51) - (-13)\/3. Suppose 0 = -15*w + 13*w + g. Solve 4*l = 5*s - w*s - 14, p*s - 4 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5233 - -5238. Which is greater: -5.46 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 4*o**2 - o**2)*(-5*o**2 + 0*o + 0*o) + 0*o**4 + 2*o**4 - 3*o**4 + 1 + 2*o**4 - 1 in the form p + u*o**3 + b*o**2 + v*o**4 + i*o and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3.5 (c) -2\/23 (d) 5 (e) 0.2 (f) -1.55 (g) 4\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by (-4)\/6*-87 - (-12 - -10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 5*m - 2. Let j be u(-5). Let o be j\/4 - 30\/(-20). Let n(h) = 10*h - 18. Let k be n(2). Solve -k*r = -o + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186955 and 7645.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 + 4*o - 2. Let r(s) = -14*s**2 + 10*s - 5. Let w(l) = -5*j(l) + 2*r(l). Let z(n) = 2*n + 24. Give w(z(p)).\nAnswer: 8*p**2 + 192*p + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27989, -27987, -27981, -27971?\nAnswer: -27957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 983822*n**3 + 7*n + 18981041 with respect to n.\nAnswer: 2951466*n**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1469 - -709. What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-58)\/30 + 2)*-3. Let x = 67\/2 - 33. What is the nearest to -1 in 2\/13, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1770 - -1784) + -66 + 1 - 41.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1631, 3261, 4891, 6521, 8151?\nAnswer: 9781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 822*y + 1994*y + 1 + 10 - 17 to t + q*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 122.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Suppose v + 4 = -3*v, 4*v - r = 5*p. List the prime factors of p\/(-2 - 21\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05509 - -35.61491. What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6007.652 litres to millilitres.\nAnswer: 6007652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 141, 397, 777?\n\"Answer: 62*w**2 - 54*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 5. Let j be 3\/3*(-2 + 8). Solve l = -3*x - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-12))\/((-429)\/(-312))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 22. Let g be x(-6). Suppose -2*y = 4*w + 30, -5*w - 36 = 4*y - 3*w. Let i = y + g. Solve s + 10 = i*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/3 + 58*y**2\/3 + 416*y\/3 = 0.\nAnswer: -16, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*m - 15, 4*m - 35*a = -31*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -7.13 (b) 5\/2 (c) 2441 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/5 - 651*o**3\/10 - 489*o**2\/10 + 705*o. Let c(i) = 0. Calculate i.\nAnswer: -1\/4, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (-3 + -2*sqrt(1331)) - 1*(0 + sqrt(1331)) - -5*(1 + sqrt(1331) + sqrt(1331))*-2)*1*-4 + 0)**2.\nAnswer: 44352*sqrt(11) + 6900688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j**2 - 22. Give b(3).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3650*g**2 + 14*g + 104. Let i(m) = 3648*m**2 + 13*m + 96. What is -13*i(d) + 12*t(d)?\nAnswer: -3624*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44749054 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -4. Let q be (0 + 8)*(-4)\/(-4). Suppose 8*z = 48 - q. Sort z, -1\/5, j in decreasing order.\nAnswer: z, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21836462 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - (-5 + (5 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/18*12\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-2) + (-3033899)\/112299?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -5, -3, -857, -74, -4 in decreasing order.\nAnswer: -3, -4, -5, -59, -74, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4605 + -4593. Let g(v) be the first derivative of -1\/14*v**4 - 2\/21*v**3 - s + 0*v**2 + 0*v. Factor g(y).\nAnswer: -2*y**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20311023232302 + -10?\nAnswer: -20311023232312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by 3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/9792 and -43\/264.\nAnswer: 107712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 2*f - 1. Let y(m) = 3*m - 1. Let c be y(1). Let r(j) = 6*j**2 - 7*j - 2. Let v(q) = c*r(q) - 7*k(q). What is the derivative of v(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 3, h: 2, t: 1}. What is prob of picking 1 t and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let n be (-2)\/2*-11 - l. Solve 0 = -4*i + 2*s - 4, 0 = i - 3*s + 2 + n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33360206?\nAnswer: 2, 11, 149, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**4 + j**3 + j**2. Let o(b) = -6*b**4 - 8*b**3 - 8*b**2 - b. Let c(d) = 5*l(d) + o(d). Solve c(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + (4 - -4 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*i - 2*i**2 + 23807*i**3 + 0 - 23799*i**3 + 0 to u*i + k + b*i**2 + j*i**3 and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8294 rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 3}. Give prob of sequence vvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = z + 3*z + 60, 2*v + 5*z = -40. Let u = -33 - v. What is the smallest common multiple of 10 and u\/(-26) + 42\/4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**2\/3 + 2783*p\/3 - 232 = 0?\nAnswer: -696, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107 and 6313.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16378*z + 802529. Determine w(49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -67298.13 to the nearest one hundred.\nAnswer: -67300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1363*u - 331*u - 2*u**2 - 212*u - 4*u**2 - 1350 = 0. What is u?\nAnswer: 5\/3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4401.5223 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(13) + 2 + sqrt(13) + -2 + sqrt(13) + sqrt(78)\/sqrt(6) + sqrt(13) + -5 + -4)*5.\nAnswer: -65 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2115, 2117, 2119, 2121?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4392, -8968, -13726, -18666, -23788?\nAnswer: -29092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2020*p**2 + 7*p - 4. Let c be s(3). Let j(u) = 18199*u + 1 - c*u - 4. What is j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105 + -14)*(-12)\/84?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -392 - -529. Let r = 136.9114 - j. What is r rounded to 3 decimal places?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*d**4 - 6 + 3 - 2*d**3 as j*d**3 + z + l*d + o*d**2 + w*d**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574 is divided by 290.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = j - 1028, -j + 1021 = -40*h + 41*h. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 17. Let m = g + -4. Let i = -6 + m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*b**2*y**3 + 2*b**2*y + b*y**3 - 500*y**3 wrt b?\nAnswer: -200*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -2\/3, 0.1, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/24*408\/(10302\/(-101)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/19)\/w*w*w**(-2\/9)*(w**(-2\/3))**(-9\/4))\/((w*w**3\/w*w)\/w**1)**(3\/5) assuming w is positive.\nAnswer: w**(997\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 - 12 = 0, t + 7 = 4*k. Suppose -6*x + 257 + 163 = 0. Suppose t*r - x = -0*r. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.672749cm?\nAnswer: 46727.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172431 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-17 - -2) + (-4 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 9\/(0 - -3). Suppose g*m - 114 = -8. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3222087*o**5 + 2*o**2 - 2917163.\nAnswer: -193325220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -32. Suppose 5*z - 5*b - n = 0, b + 0 + 3 = 4*z. Let u(d) = d**2 + d. Let a be u(1). Solve 4*h + 12 = -0*t - 3*t, a*t + 4*h + 8 = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 110. Let i(w) = w - 363. What is t(i(v))?\nAnswer: v - 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5456463990 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9165 + 50642. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/2)\/(-22*11\/(-242))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 7*s**2 + 2*s + 53. Give j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 37 = -2*b, 4*b = b + 5*h + 53. Suppose 4*u = 0, -12*q + 4*u = -b*q + 268. Calculate the remainder when 329 is divided by q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(2*(-5)\/(-48))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220300 (base 4) to base 10.\nAnswer: -2608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1052, -1070, -1100, -1142, -1196, -1262, -1340?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 + 11025*u**2 + 6105000*u + 30250000 = 0. What is u?\nAnswer: -1100, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -19315234.922?\nAnswer: 19315236.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.163, -5\/3, -4\/7, 1\/2?\nAnswer: 0.163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8065106 to two dps.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3462536 is divided by 1136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16839*-28.\nAnswer: 471492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198352 to the power of 1\/2, to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329713\/27 or -12213?\nAnswer: -329713\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-2968) + 51\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313464485.\nAnswer: 5, 163, 384619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 8) + -6 + -33.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:19 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13901*o**2 + 4635*o**2 + 4635*o**2 + 4633*o**2. Let f(c) = -4577*c. What is f(m(a))?\nAnswer: -9154*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -410.\nAnswer: -410, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 63653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 3. Let z(c) = -5*c**2 - 22*c + 49. Let x be z(3). Let s be 2\/1*(-177)\/6. Let m = x - s. Determine k(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - (-5*(1*sqrt(209) + sqrt(209) + sqrt(209) + sqrt(209)) + sqrt(209))))\/(sqrt(11) + sqrt(77)\/(sqrt(14)\/sqrt(2))).\nAnswer: -19*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -59ca96?\nAnswer: -59ca96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -62. Suppose x = -87*h + 83*h + 3208. Let b = h - 1762. Round b to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 11\/38, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmdddm. Give prob of picking 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*m = 1168, -1885 = -5*b - 3*m + 7*m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 268. Give l(-68).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101220 (base 3) in base 16?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 3*p + 4*n + 96, -5*p = -2*n - 240. Suppose 26 = 32*o - 30*o - 2*s, o = -s + 5. What is the remainder when p is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.16 (c) -7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135757 - 32288. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 2 = 17*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 - -0.34. What is the nearest to -0.4 in 4, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010101110011 (base 2) to base 12\nAnswer: 107ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**5*r)\/r)\/(r**7*r))\/(r**(-1))**(-2\/19) assuming r is positive.\nAnswer: r**(-21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m - 42. Let a be k(11). Let t(z) = -z**a + z + 77 - 77. Let v(f) = -2*f**3 - 48*f**2 - 288*f - 686. Let n(s) = -6*t(s) + v(s). Factor n(c).\nAnswer: -2*(c + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*v**3 - 30*v**3 - 181*v**3 - 750 - 239*v**3 wrt v.\nAnswer: -1452*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q - 9. Give s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095697.\nAnswer: 23, 47639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10715*o**3 + 11*o**2 - 46*o**2 - 10708*o**3.\nAnswer: 7*o**3 - 35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/(-135))\/1 - 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 3*t)*(775*t - 3*t**4 + 4 - 775*t).\nAnswer: -6*t**5 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77205510 to the nearest integer?\nAnswer: 8787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.1566416522 - -1582440.7433613478. Let s = 1582473 - p. Let v = s + -1.1. What is v rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 4, i: 2, e: 2, b: 2}. Give prob of sequence eqb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 not equal to -693751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o + 39. Let i = -96 + 96. Let r be p(i). Suppose 0 = 2*k + r - 27. Let b(j) = j**2 + 8*j + 5. Determine b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 13*i**3\/3 + 16. Let h(w) = -9*w. Determine h(l(p)).\nAnswer: -117*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = u - 3*u, 9 = -3*u. Suppose 5*j - 2*f = 2*j + 597002, 5*j - 995002 = n*f. What is j rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 931*b**2 + 1855*b + 933*b**2 - 1865*b**2 - 2*b + 2*b**2 + 2*b + (-4*b + 0*b + 2*b)*(-1 - b + 1) - b**2 + 0*b + 0*b.\nAnswer: 2*b**2 + 1855*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3595*d - 40511 - 200354 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 54*x + 11. Let g be f(-9). Let i = -306 - g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 3, m: 4, l: 1, r: 7}. Give prob of sequence ww.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.77 + -2.77. Let s = 1.8 - 18.8. Let p = s + 13. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**9*j*j*j)**7\/(j**0\/(j\/j**(-12))) assuming j is positive.\nAnswer: j**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 870 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1\/12, 4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 1\/6 (b) 1\/2 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -4.96. Let k = -294 + 2064\/7. What is the third biggest value in k, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 24*v - 56. What is the units digit of l(-43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12881 is divided by 568?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6501 divided by -1\nAnswer: 6501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1211 and -0.5.\nAnswer: 1210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 665281 to the power of 1\/2, to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 10 - (245 - 219).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188f2 (base 16) to base 3.\nAnswer: 12002222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 11. Let z be i(6). Suppose -5*k = -0*o - 2*o + 2412, z*o - 4*k - 6064 = 0. Calculate the remainder when o\/40 + (-4)\/10 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*((sqrt(2448) - 2*sqrt(2448))*-4 - (-5*(-2 + sqrt(2448)) - sqrt(2448)) - 1*(4*(0 + sqrt(2448)) + sqrt(2448)))**2.\nAnswer: -1200*sqrt(17) + 61299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7714851*-35.\nAnswer: 270019785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28333\/13695 + -16\/415. Find the common denominator of 5\/(-5) + 2 + 37\/(-27) and s.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)\/(v\/(v**(-6\/11)*v)) assuming v is positive.\nAnswer: v**(-31\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1851\/1639?\nAnswer: 1851\/1639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 8 - 5 + 3 + 6*j - 8*j. Let i(y) = -3*y**3 + 1. Let a be i(1). Let g(r) = -2*r + 12. Let w(f) = a*g(f) + 5*c(f). Determine w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/70)\/(16\/(-28)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1807, 3622, 5437, 7252?\n\"Answer: 1815*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**2 - 15*p**2 + 115 + 241)*(-7*p - 8*p + 0*p) + (3*p + 0*p - p)*(0*p**2 + 0*p**2 - 2*p**2).\nAnswer: 11*p**3 - 5340*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/30 - 8\/(-12))\/(100\/(-2000)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013994 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 28. Let x = j + -16. Suppose x*w - 6*w + 431 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308657 = 3*b + 308696, -g - 9*b - 117 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57126443*o - 171379324*o + 57126443*o + 57126434*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1890\/20)\/21)\/(8\/16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4\/4 - 113*d**3 + 5565*d**2\/4 - 3547*d\/2 + 494 = 0.\nAnswer: 2\/5, 1, 13, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1020.752 to zero decimal places.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfzffflqf. What is prob of sequence fff?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32a23 (base 11) to base 4\nAnswer: -23223030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8394*a - 97 = -8395*a - 4*p, -3*a + p = 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 18\/(-4) - (1 - -1) and 61\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*z + 2)*(4*z + 4 - 4) - 6*z + 3*z**2 - 2*z**2 + 0*z**2.\nAnswer: 9*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**4 - 2366*u**2 - 12398 with respect to u.\nAnswer: -4*u**3 - 4732*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785, -1577, -2369, -3161?\nAnswer: -3953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from rarrarrflarqfarqu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2742, 3244, 3746?\nAnswer: 4248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44933875 a multiple of 2885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.1 times 12?\nAnswer: 7369.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 2*m**2 - m**2 - m**2.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + 10 - (-4 + (2 - 3)). Let f be -10*(-2)\/i*(-14)\/8. Let w(z) be the second derivative of -z**4\/12 - z**3 - 2*z**2 - 2*z. Give w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 10. Let m be 14\/(-4) - v\/(-20). Put -5, m, -1 in decreasing order.\nAnswer: -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from szssszz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)*t\/(t**(-3\/5)*t*t)*t**(-1\/3)*t*t\/t**(-3))**50)**(3\/31) assuming t is positive.\nAnswer: t**(540\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 113078635 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -923.45 and 0.116.\nAnswer: -107.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.99 - 0.31. Let q = w - -0.3. Let t = 1.2 + q. Which is bigger: t or -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8243\/30 + 1651\/6. Factor q - 7\/5*u**2 - u.\nAnswer: -(u + 1)*(7*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/3*3\/2. Let z = n - -1. Let u be 5\/(-10)*z*2. Let c(r) = -r - 6. Determine c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*x - 4, 4*x = -v + 3*v - 8. Let t = -671 - -698. Suppose -53 = -4*d - 0*f - 5*f, -d - v*f + t = 0. Solve -2 = -3*u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 4*w**2 - 3*w - 9. Let l be d(-4). Suppose 3*i**5 - 21*i**4 - 5*i**3 - l*i**2 + 20*i**3 + 6*i**5 = 0. What is i?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1204, 12221, 30582, 56287, 89336, 129729, 177466?\n\"Answer: 3672*a**2 + a - 2469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 546\/11 + -5910\/143. Which is smaller: c or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, k: 4}. What is prob of picking 4 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**3\/6 - v**2 + 18*v. Let o(f) be the third derivative of f**4\/12 + 5*f**3\/6 - 7*f**2. What is 4*o(n) + 11*u(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5520*k**2 - 48*k - 32. Let q(z) = 1104*z**2 + 9*z + 6. Give -3*p(f) - 16*q(f).\nAnswer: -1104*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 2*x - 11. Let w be h(-3). Let c = 102 + w. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -67. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/290)\/(2212\/3160*8\/(-14)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -399 (base 12) to base 14.\nAnswer: -2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.86 + 25.9. Let u = 19.6 + -4.6. Let v = c - u. Is v at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 34*r**2 - 30*r + 108. Let k be t(-33). Suppose 8*o + 143 = -k. Which is smaller: o or -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24410, -48833, -73256, -97679, -122102?\nAnswer: -146525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 1793431*a\/7 - 896715\/7.\nAnswer: -(a - 896715)*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1961, 3915, 5867, 7817, 9765, 11711, 13655?\nAnswer: 15597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*h - 77 = 211*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2871, -2869, -2857, -2829, -2779?\n\"Answer: i**3 - i**2 - 2*i - 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f4de + -c80?\nAnswer: e85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165862*v + 165855*v = -a + 5, 0 = -2*v - a + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 3. Let u be m(-9). What is the highest common divisor of u and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -s + 32, 2*s - 6*s + 179 = 3*b. What is the common denominator of s and -74\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058947.\nAnswer: 11, 187177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2060 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 431, 438, 445, 452?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r - 1378 + 1378)*(7 - 2 - 3).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.75289 rounded to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 256383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 33.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(-4*sqrt(125)))\/((sqrt(7) - (1*sqrt(700) - sqrt(700))) + sqrt(7) + sqrt(21)\/sqrt(75)).\nAnswer: -sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19668 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*k + 23, 5*k = -3*c + 6*c + 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 647958426.7 - 647958543.69999846. Let x = -117.23 + 0.23. Let b = d - x. Round b to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h. Let f(a) = -59*a**2 - 1. What is f(z(c))?\nAnswer: -9971*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39493936931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100001 - 1001001?\nAnswer: 10011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*d + 54, 0 = 4*f - 4*d - 64 - 12. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 862\/3, -236.\nAnswer: -236, 0.07, 862\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + -419910272.\nAnswer: -419910261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42304955 by 385.\nAnswer: -109883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07196 + 0.26.\nAnswer: 0.18804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/53120 and -51\/4?\nAnswer: 53120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 29.99991625. What is s rounded to six dps?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.672 + 0.386?\nAnswer: 2.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1741*b = 1719*b + 802604. Is 34 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2. Let d(q) = -250*q**2. Determine d(k(i)).\nAnswer: -2250*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/15*(23 + 1 + -4). Suppose j*o - 84 - 60 = 0. Factor 47 + 17 + 168*v**2 - 4*v - 167*v**2 - o*v.\nAnswer: (v - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z**1*(z*z**(2\/3)*z)**35)\/((z**(3\/8)*z**(-7))\/((z*z**(-2\/11))\/(z*(z\/(((z\/(z\/(z**4*z*z)))\/z)\/z))\/z*z*z))) assuming z is positive.\nAnswer: z**(25813\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 - 15*f + 77. Let n be j(4). Sort -2, -4, n, 16 in ascending order.\nAnswer: -4, -2, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -116839560, -116839561, -116839562?\n\"Answer: -a - 116839559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 6773269*m\/3 + 13546534\/3.\nAnswer: (m + 2)*(m + 6773267)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.124.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d**2 - 4*d - 1. Let o be l(2). Which is the biggest value? (a) 4 (b) o (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -1\/9 (c) 448\/37 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 24*x - 27. Let j(q) = 74*q - 56. Let l(p) = -15*p + 11. Let f(k) = -3*j(k) - 14*l(k). Let v(i) = 5*f(i) + 3*h(i). Is 10 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 5768?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*h + 0 - 6 = 0, -4*k = -5*h + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2917.985 - 2926. Round f to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 22 in decreasing order.\nAnswer: 22, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 4. Let n = -1 + j. Let a = 11.00000048 + n. Round a to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (12 - (5 + 7 - 6)) + -19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 2 (c) -0.1 (d) 178 (e) -3\/5 (f) -10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 45*t - 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) - (-11)\/22. Suppose -4*t + 4 = g, y + 18 = -5*g. Suppose -3*n - 32 - 27 = -5*x, 2*x - 14 = -2*n. Solve -x = -2*l - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) 2 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9036758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 144. Suppose -q = 15*z - 18*z. What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 6*f**2 - 8. Let t be z(-6). Let s be ((-2)\/(-12))\/((-6)\/t). Put 1\/5, -0.5, s in increasing order.\nAnswer: -0.5, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 2*h)*(5 - 9 - 16 + 0 - 3 + 2 - 3 + 4 - 3 + (1 + 3 - 2)*(-3 + 5 - 1)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16487575*o**2 + 4056863*o?\nAnswer: 32975150","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 87259962 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {m: 6, h: 1, l: 3, d: 2, y: 6, a: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401, -803, -1205, -1607, -2009, -2411?\nAnswer: -2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 47*g**3 + 87*g**3.\nAnswer: 135*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(153)*6)\/(sqrt(9)*-2*-6*5))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320\/2340 + -1*4\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316\/(-40) + (-184)\/(-23)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {n: 3, f: 2, d: 4, c: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 36*m = -148, -3*m - 10 = -26*s + 28*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1800, -1802, -1804, -1806?\n\"Answer: -2*b - 1798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - 5*j + 2. What is the units digit of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.402 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 6 - -1) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(2\/11)\/g)\/g*g)**(-32) assuming g is positive.\nAnswer: g**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 + -200. Calculate the remainder when 49 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.3 + 16.8. What is the second biggest value in 2\/9, -11, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 14) in base 11?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 22 + 2*x**2 + 3*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -7\/9495?\nAnswer: -7\/9495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f. Let o = 215 + -51. Suppose 10*s - o = -124. Let l(y) = 7*y. Determine s*l(u) - 3*x(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10459 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 14*o**2 + 11*o - 22. Let d be 13*(5 - (7 + -1)). Let v be q(d). Let x(a) = -a + 6. Let z be x(0). Solve 0 = v*h - z + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let o = 9 - 6. Suppose -o*k + 3 = -a*k. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50266 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7625.775km to meters.\nAnswer: 7625775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 5*t - 10. Let w(c) = -2. Give -l(y) + 3*w(y).\nAnswer: -3*y**2 - 5*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 28.5. Let t = -6 + n. Which is the biggest value? (a) t (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -7*k**5\/60 - 17*k**3\/6 + 9*k**2 - 15*k. Let q(z) be the first derivative of i(z). Differentiate q(f) with respect to f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 times 0.9?\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25998 in -2\/9, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 (base 9) in base 13?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2 = -12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t - 3*z = 55*t - 28*t - 0*z + 6, -3*t + 5*t = 5*z + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:12 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**3 assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 166 + 2)*(0*i - i + 2*i).\nAnswer: 244*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u - 7. Let y(m) = 4*m**3 + 41*m**2 - 712*m - 35. Let n(h) = -5*i(h) + y(h). Find the second derivative of n(j) wrt j.\nAnswer: -6*j + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.022954 rounded to two decimal places?\nAnswer: 80.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -127.417 - 5748630650\nAnswer: -5748630777.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2619331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1950202.1?\nAnswer: 3900404.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493.92 times 0.08?\nAnswer: -199.5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 14*v**2 - 50*v + 30. Determine h(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-3 + -22 - -24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 7. Suppose 2*b = 4*k + t*b - 17, -4*b = -3*k + 5. Suppose 0 = 3*h + 11 - 2, -k*z + 18 = -4*h. Which is smaller: z or 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + -1*sqrt(704) + sqrt(704))*5 + -1)**2*-4.\nAnswer: -70404 + 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*n = 39, 0*w = -4*w + 3*n + 101. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16266 is divided by 73.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*1 - (-342)\/100. Let w = s - -2\/25. Let y = -0.417 - 0.583. Sort w, y, 4 in decreasing order.\nAnswer: 4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 at least -630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*n + 22, 2*n - 6*n - 10 = -3*y. Let b(s) = -2*s - y*s - 3*s. Let h(v) = -453*v + 786*v - 334*v. Calculate b(h(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1075*r + 436 + 639 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 10*g = -45. Let f be 4\/10 - (-24)\/g. Suppose 0*y = f*y - 2*j - 96, 196 = 4*y - 3*j. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + 1108. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44713 and 244?\nAnswer: 178852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -198, -210, -222, -234, -246?\n\"Answer: -12*h - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuaaauuuaoouhauu. Give prob of picking 1 o, 2 a, and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 62919 = -335349. List the prime factors of q.\nAnswer: 3, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*t = -6, -u + 4*t = u + 18. What is the remainder when (10\/(-3))\/(u\/(-3)) is divided by ((-6)\/9)\/(1\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 - 6 - -17) - (-7 - 2) - -43.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 767602181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.3 (b) -26 (c) -3 (d) -11 (e) -0.17 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2)*32\/56. Suppose c = o*z + 13, c + 0*z + 12 = -3*z. Solve 0 = -2*x + j - 3, c*x - j = 3*j + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-196)\/(-70))\/((-2)\/(-10)). What is the first derivative of 10*j + u*j + 38*j + 66 wrt j?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 4\/7, 499, -1\/2, -6 in ascending order.\nAnswer: -6, -1\/2, -2\/33, 4\/7, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16374318?\nAnswer: 2, 3, 317, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(2*o - 3*o - o) + (-2 - 3 + 3)*(-4*o + 4*o + 3*o**2) - 15*o**2 - 15 + 15.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*z + 68 = 10, -4*s = 4*z + 244. Let i = -46 - s. Suppose 5*a - i*a = -45. Solve a*n + 4 = 2*v + 15, 0 = 3*n + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*119\/5814*19*4\/1\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27641777 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, 1 n, and 1 h when four letters picked without replacement from jaxjniiixjajhni?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + h**2 - h + 3. What is v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 12 = -4*a, -137*k + 136*k = 3*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 5*y**5\/12 - 17*y**4\/4 + 107*y**2. Find the second derivative of b(j) wrt j.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/12 + 2*g + 2099. Let t(c) = -3574*c. Calculate t(w(j)).\nAnswer: 3574*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 14*z**2 - 2*z + 29. Calculate u(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64224 - 1?\nAnswer: 64223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:37 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211222211012 + 1222021?\nAnswer: -211220211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/3)\/v)**(3\/16)\/(v**1)**(-8) assuming v is positive.\nAnswer: v**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - 311*i - 3573. Give g(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 50, 1, -18, -25.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203.8 + 204. Let q be 87\/12*(-4)\/(-15). Let r = q - 7\/3. Which is the smallest value? (a) l (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 4557568*j + 2278783*j + 2278785*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 - 4*a**3 - 23*a**4 - 83*a + 60*a - 12*a**4 in the form w*a**3 + d + g*a**4 + x*a + o*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v - 57*v = 37648. Suppose 1611 = -7*f + v. Let z = f + -702. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/43 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396733545 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.41. Let l = 0 - a. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*i + 3, 11*c - 4*i + 90 = 69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3 in descending order.\nAnswer: 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) - 4\/(-3). Suppose -4*n = -2*n - 10. What is the greatest common factor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 13*s - 2. Let j be u(9). Suppose 2*w - j = -27. Suppose -5*i - 3*y = -w, -4*y - 3 = 5. Calculate the least common multiple of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5469913 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:43 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*d + 5*d = -11, 0 = -3*k - 5*d + 4. Let c = -2 + -10. Let s be c\/k - 4\/(-14). Solve -3*y - 4 = s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + -0.06. Let c = -2.1 + 4. Let z = c - 1.6. Sort -4, z, j in descending order.\nAnswer: z, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/852 and -29\/6?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38769\/2 (b) -5 (c) 0.384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 17 (c) -39.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from spvppccpccp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a = 75*a - 625408. Let f = 66175 - a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 464\/5 + -3258\/35. What is the closest to y in 1\/31, 5, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-51 - 1 - (-69 - (31 - 97))).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - p + 4)*(0 - p**2 + 0) + (4 - 4 + 2*p**2)*(-p + 3*p + 3*p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b6 (base 16) in base 15?\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3684, 3719, 3786, 3897, 4064, 4299, 4614, 5021?\n\"Answer: 2*c**3 + 4*c**2 + 9*c + 3669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 148*l + 0 - 115 - 139 - 2. What is the hundreds digit of c(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 852 = 2*m, -5*x - 1280 = -3*m - 0*m. Let c be (-10)\/15 + 116\/232*514\/3. Calculate the greatest common factor of c and m.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4738999 to two decimal places.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.8 + -68.8. Let s = 762.6 + -836. Let y = a - s. What is y rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032103001021 - -112?\nAnswer: -1032103000303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 - 45. Suppose -a = -2*g + 3*u, -3*g + u + 81 = 3*u. Solve g = 3*c + 5*d, 3*c - 2*d + 10 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1297730*n + 723313.\nAnswer: -1297730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.52 + -10.5. Let q = -29 - -26. Suppose 0 = 23*g - 26*g - 6. Which is the second smallest value? (a) g (b) q (c) -0.1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13*q = 110. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.28 * -3.\nAnswer: 12.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-340)\/(-306))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1550043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 5\/2 (c) -1 (d) -2\/57 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k)\/(k**(-7)\/k)*k**(1\/2)\/k**(4\/9)*(k**(-1)\/k)**(-10)\/((k**(2\/9)*k*k)\/(k*k\/(k*k**5)*k)) assuming k is positive.\nAnswer: k**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522*c**2 - 4554*c**2 + 1514*c**2 + 1519*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**3 - 5*t**2 - 8*t + 9. Let c(u) = -3*u**3 + u**2 + 2*u - 2. Let k = 190 + -181. Give k*c(y) + 2*o(y).\nAnswer: -y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 657179950693.\nAnswer: 657179950689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/(sqrt(77)\/(sqrt(11)*-3) + sqrt(7) - sqrt(7)) - (5 + sqrt(175)*-3)) + 1)**2.\nAnswer: -96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 + 464*g - 6469. What is h(14)?\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.00007559 and -1097.\nAnswer: -1097.00007559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -1169.5?\nAnswer: -1520.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8803145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**2 - 62*f + 142*f + 19*f**2 - 36*f)*(2 + 0 - 1).\nAnswer: 28*f**2 + 44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 479*j**2\/4 - 12160*j + 540672.\nAnswer: -(j - 33)*(j + 256)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -21. Suppose -n - d*v + 7 = -13, -20 = -3*n + 2*v. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:49 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 49974590*x + 49974597*x - 3.\nAnswer: 7*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m - 196 - 329 - 2 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92155 by -13165.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4. Let z(v) = v**3 + v - 11. Let y(i) = -3*i**3 - 4*i + 32. Let r(j) = -2*y(j) - 7*z(j). Give -7*n(d) + 2*r(d).\nAnswer: -2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 - -0.24. Round i to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34074000 and 170370?\nAnswer: 34074000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 29. Let a(u) = 20*u - 40. Does 18 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17977906 and 12.\nAnswer: 107867436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (369 + 33 + 32)*(4*p + 0 + 0 - 3*p) to the form u + s*p and give s.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1597593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2 + 3414*b - 1364.\nAnswer: -2*(b - 341)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -1 - 27. Determine q, given that -9*q - 3*q**s - q**2 + 2*q**2 + q**2 + 6 + 9*q**3 - 5*q**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-318)\/(-2067))\/(4\/(-13))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5629527 by 3.\nAnswer: 1876509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 3*y - 16, 3*y - 3*s = 24. Suppose 4*n - 3 - 5 = 0. Suppose 17*l = 16*l + n. Solve l*q = v + 5, 5*q + 7*v = 4*v + y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-189)\/56)\/9)\/((-6)\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -7*q + 4*q. Suppose 5*m + q = -13. Let k be (m\/(-4))\/(9\/24). Solve 1 = -k*j - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + 4*p + 3. Let x(a) = -a**2 - 6*a + 2. Let l be x(-6). Suppose l*b + 7 - 3 = 0. Let r be t(b). Solve -3*i + r = -0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22927 and 3737?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 8, m: 3, s: 5, d: 2}. What is prob of sequence do?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(180) - sqrt(180)) + -5 - -4*sqrt(180)*2) + 1 + -1 + -5*sqrt(180) + sqrt(180))*2)**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*h - 170*h = 1026. Suppose -7*z = b - 2*z - 105, 315 = 3*b + 4*z. Let v = b - h. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2*d**2*j**2 - 2*c**2*d**2*m - 2*c**2*d*j**2*m + 23*c**2*j**3*m + 2*c*d**3*j**2 + 3*d**3*j**3*m - 4 wrt j?\nAnswer: 138*c**2*m + 18*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31772, 127090, 285952, 508358, 794308, 1143802?\n\"Answer: 31772*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005163 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11130?\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -2, -50 in descending order.\nAnswer: 7, -2, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*l = 16152, m - 3*l - 3500 = 554. What is the lowest common multiple of 390 and m?\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(6) + sqrt(600)*4)\/sqrt(1800))**2.\nAnswer: 41*sqrt(3)\/3 + 9181\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 - 10*j - 11. Let o be h(-8). Let d = 0.1 + -0.3. Sort d, -0.3, o in decreasing order.\nAnswer: o, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/209071093 and -43\/7414?\nAnswer: 418142186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -17\/7, -233\/3.\nAnswer: -233\/3, -11, -17\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174806064?\nAnswer: 2, 3, 1213931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -82\/3, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1466, -5842, -13136, -23348?\n\"Answer: -1459*u**2 + u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a. Let p(c) = -38*c - 35*c + 70*c - 82*c - 93*c. Calculate p(n(k)).\nAnswer: 534*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1003 + -1fdf?\nAnswer: -fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 4. Let w be 10*((-1)\/2)\/(-1) - 1. Suppose y - 24 = w*g, -2*g + 3*y - 17 = -g. Give j(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/11 + -73\/77. Let l = 5 - 5. Is t at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560\/(-168)*27\/(-60)*(-40)\/6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16458241, -32916482, -49374723, -65832964, -82291205, -98749446?\nAnswer: -115207687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.947 + 0.013. Let m = -0.04 - n. What is the biggest value in m, 1\/5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/806989 and -73\/106?\nAnswer: 85540834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 5*g + 6*g**3 + g**2 + 4*g + 1. Let j be w(1). Suppose -v - 4*s - 20 = 0, 10 = -2*s - 0*s. Solve v*x = -2*x + j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(242) + -1 - (sqrt(242) + 0 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3390 + -3461. Which is greater: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 6*v - 9*v - 36, 3*v = -15. Suppose 0 = q*h - 13*h + 26934. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30010299 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*l - 5164 = 43*l + 3390 + 1654 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -6. Let m be 21\/4 + (-6)\/d. Suppose 50 + 60 = m*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.1485527us to days.\nAnswer: 0.00000000004801565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8 + 2\/4. Suppose q = -c - 19 + 61. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228792?\nAnswer: 2, 3, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -144 - -245 - 86 - (96 - (1 + -2)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20, -4*a - 50 + 57 = -c. Factor 3*f**a + 8\/3*f**2 + 0 - 1\/3*f.\nAnswer: f*(f + 1)*(9*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60b685 (base 12) in base 11?\nAnswer: -943793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 276 = -0*t - 4*w, -184 = -2*t + w. What is the remainder when t is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9077*t**4 - 6033 wrt t.\nAnswer: -36308*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23 = 29. Let f be 335\/(-268)*((-2)\/1)\/l. What is the second biggest value in -6\/5, f, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*q**3 + 316*h**2*q**2 - 3935*h**2 wrt q?\nAnswer: -3*h**2*q**2 + 632*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 1)*(0*w + 2*w**5 + 0*w) + 0*w**2 + 0*w**2 - 2*w**5.\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16927549.\nAnswer: 661, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/(4\/(-6)). Solve u - 1 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(432) + 0 + sqrt(432) - (sqrt(432) + sqrt(432) + -1 + 2)) + 3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-28))**(19\/3) assuming u is positive.\nAnswer: u**(-532\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*m = -574*m - 624 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 12) to base 9.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/(-612)*(-62)\/2077\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53846016 rounded to 2 dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5))**(-47))**47 assuming x is positive.\nAnswer: x**11045","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/9 - 2\/(-9). Let g be (-5 - -6)*(i - -5). Let p(o) = -2*o**2 + 3*o - g*o**2 + 2 + 8*o**2 + 0. Let b(y) = -3*y**2 - 4*y - 3. Give 4*b(a) + 5*p(a).\nAnswer: 3*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010695499 rounded to seven decimal places?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254605 divided by 13.\nAnswer: 19585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Suppose -5*l + 22 = 2*s, 0*l - 5*l = 5*s - 25. Let x(t) = l - 1 + 8*t**2 - 3. Give c(x(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 5?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -24. Which is the nearest to 5? (a) -2 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + z - 1. Let q be (-22)\/(-4) + (2\/4)\/1. Let j be (q - 2) + (3 - -13). Let d = -19 + j. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 + ((12 + 43 - 54) + 13 + -1 - 13)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 5*n + 81255*u - 81257*u + 48, 83 = 5*n + 4*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*sqrt(351)*1 - sqrt(351))\/(1*sqrt(576)))\/(1*sqrt(432)*6 + sqrt(432) + (sqrt(432)*-1 - sqrt(432))*2 + sqrt(432)).\nAnswer: -25*sqrt(13)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 3 - (0 + -2). Suppose 4*i = 2*k - 80, -2*i - 3*k + k - 46 = 0. Let p = i + 37. What is the greatest common factor of z and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.013 + 3.987. Let n = x - 7. Sort 1\/2, n, -2\/13 in descending order.\nAnswer: 1\/2, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 107*u - 647. What is c(-113)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 995, 3645, 8019, 14117, 21939?\nAnswer: 31485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, j: 1, n: 1}. What is prob of sequence js?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2008013*z. Let c(t) = 9*t**2. Calculate c(i(u)).\nAnswer: 36289045873521*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**3 - m**3 - 2*m**3)*(26 + 26 - 56 + 4*m).\nAnswer: 16*m**4 - 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1360 - -10541. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5 = -i, -37*q + 3*i + 95154 = 95123 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -3.\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 4 (c) 896 (d) -0.4 (e) -2 (f) 23\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 5*s. Let z(d) = -d + 6. Let i be (-4 - (-1 + 5))\/(-2). Let w be z(i). Suppose 20 = w*c + 3*c. Give j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1447 and -56.\nAnswer: -81032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5030, 5108, 5184, 5258, 5330, 5400, 5468?\n\"Answer: -l**2 + 81*l + 4950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2220802939 to the nearest 1000000.\nAnswer: -2221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {f: 1, t: 1, e: 1, k: 2, y: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 4*v - 2. Let z be y(-9). Let k = z + 58. Let l = k + -101\/9. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 2*s**5 - 3*s + (-8*s + 6*s + 4*s)*(2*s**4 + 5*s**3 - 5*s**3) + 84*s**5 + 6*s**5 + 6*s**5.\nAnswer: 102*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50450677?\nAnswer: 347, 145391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021112201100021 - -112?\nAnswer: -10021112201022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*24\/((-90)\/(-15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 86*t - 81*t. Let x(q) = q**3 - 19*q**2 + 3. Calculate the smallest common multiple of x(19) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*d - 683*d - 3 - 167*d + 94*d + 5 as j*d + y and give j.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 + -10102200?\nAnswer: -10020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c - 10. Let a be r(-7). Let v be (-6)\/(-39) - 96\/a. Factor 0 - 1\/4*q**v - 1\/4*q.\nAnswer: -q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 27. Let b be a(-13). Suppose -b*j + 351 = 15. Which is smaller: j or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 19. Suppose -5*r + 108 = u. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*0.44.\nAnswer: -5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1755158, 3510332, 5265506, 7020680, 8775854, 10531028?\nAnswer: 12286202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 808, 1485, 2162, 2839, 3516?\n\"Answer: 677*s + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*i + 0 - 10\/7*i**2.\nAnswer: -2*i*(5*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*c + 248 - 80 + 96 = 0. Let v(x) = -7*x - 2. Let g(r) = r + 2 - 2*r - 2*r + 9*r. Calculate c*g(d) - 2*v(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) - (1*sqrt(3024) - sqrt(3024)))\/(3*-2*sqrt(3))*1 + (((sqrt(84)\/sqrt(2))\/sqrt(6) - sqrt(7))**2 - (2*sqrt(700))**2)*-3.\nAnswer: -2*sqrt(7) + 8400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 36630000 = 9*g. Round g to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 156. Factor -o*c**2 - 188*c**4 - 36*c - 4 - 4 + 216*c**4 + 36*c**3.\nAnswer: 4*(c - 1)*(c + 1)**2*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20617 + -9260. What is the highest common factor of p and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.00255 and -382568054.\nAnswer: -382568054.00255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.153132 rounded to 2 decimal places?\nAnswer: -7.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10957247 divided by 25661?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-583 - -563) + 3 + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 2*b + b)*(-3 + 0 + 4) + (2*b + b - b)*(-6 + 5 + 5) - 611 + 611 - 72*b to the form x*b + v and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**2 + 1114*j - 13163. Calculate d(-90).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54\/95 + 7\/19. Suppose 0 = 3*f + 8 - 2. What is the nearest to -7 in p, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.45144806 to three decimal places.\nAnswer: -2.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -17*c + 24*c. Suppose c*z = -12*z + 1099226. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/15)\/(12\/24). Which is the nearest to d? (a) -3\/19 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228762 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/28 + 11*s**6\/40 - 513*s**5\/40 + 199*s**4\/4 - 155*s**3\/2 + 459*s**2\/8 - 195*s - 11. Determine r, given that t(r) = 0.\nAnswer: -17, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 7. Let o(y) = -4*y - 6. Let d(p) = 4*o(p) + 3*v(p). Let q be d(-3). Let i be 12\/2 - (3 + q). Solve 4*z = 2*a - z + 15, -3*a - z = -i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11619658, -11619659, -11619660, -11619661, -11619662, -11619663?\nAnswer: -11619664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.23 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/126 (b) 5 (c) -0.02 (d) -0.3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 3*(-1)\/5 - 54\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.56023 and 3.7.\nAnswer: -2.072851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k + 6. Let d be (4\/(-5))\/((-81)\/(-15) + -5). Let o be s(d). Suppose o = -h - 53 + 63. Solve -u - 20 = 5*z, 5*z + 20 = -3*u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 340?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -4*u + 33. Calculate the greatest common factor of 36 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/18 - (-77)\/(-2). Let u = -58431\/5 - -11649. Let h = u - g. Which is the second smallest value? (a) 0 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827583642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 4.07. Let o be 6\/(-4)*(-6)\/9. Suppose z - o = -5. What is the closest to -0.1 in m, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 181293. Let w(f) = f**2. What is w(m(z))?\nAnswer: z**2 - 362586*z + 32867151849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 4*u = 2776. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*y - 16. Let v be y\/6 - 153\/27. Let f(t) = 16*t**2 + 6*t + 1. Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgmmemmmbtgme. What is prob of picking 1 b, 1 e, and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81b3a (base 12) to base 10.\nAnswer: 169246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3551 = -463*c - 320*c - 13675 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b4164 (base 14) in base 16?\nAnswer: 69eac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 11456.59 (c) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(10\/(120\/12))\/11?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/12372907?\nAnswer: 31\/12372907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 - -0.673807249?\nAnswer: 0.660807249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32*5)\/((-3)\/30). Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*v - 5*a, -14 = 4*v + 4*a + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8882022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224601?\nAnswer: 3, 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (29110\/861 - 34)*(-7)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2844 - 0.1156. Let v = 0 + 1\/2. What is the nearest to 9 in -1, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(3) + sqrt(12)\/sqrt(4) + -4 - (sqrt(432)*-1 + -1*sqrt(3) + 4)*-4.\nAnswer: -36*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/110*0*(-2 - 1\/(-1)). Solve 629*p - 623*p + 36 = m for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 - 8*i - 7. Let v be l(9). Suppose -v*c + 7 = -c. Solve -3*n + 1 = 5*t - 0*n, -t = 3*n + c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211531*s**3*w**2 + 1370*s**3*w - 2*s**3 + 2 wrt w?\nAnswer: -423062*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3 + 7)*(2 - -2). Suppose -18*l + 10*l = -o. What is the derivative of 35 + f**l + 34*f**3 - 3 - f**2 wrt f?\nAnswer: 102*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5836161, 11672348, 17508535, 23344722, 29180909, 35017096?\n\"Answer: 5836187*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044628 divided by -1011157?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 4*t + 11. Let q be c(7). Let i = q - -14. Suppose 4*h - 2 = -4*o + 118, -i*h = -3*o - 99. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 34*c + 549 = 315, c + 27 = -2*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -15*y**2 - 1\/105*y**5 + 0*y + 1\/420*y**6 + 0 + 0*y**3 + 0*y**4. Factor d(n).\nAnswer: 2*n**2*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 15 = 2*q, 0 = -4*w - 4*q + 20. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 + 18 - -14 - (-38 + 0)) + -8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 7) to base 2\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 82, 131?\n\"Answer: 49*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k**2 - 13*k + 13. Suppose 73 + 31 = 4*h. Let q(m) = -4*m**2 - 3*m + 3. Let x = 4 - 14. Let v = x + 4. What is h*q(c) + v*o(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (2*sqrt(300))**2 + -1 + ((sqrt(300) + 2*sqrt(300))**2 + 1 - (sqrt(300)*2 + 4)**2)).\nAnswer: -960*sqrt(3) + 16098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122246000?\nAnswer: 2, 5, 19, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 >= -520\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 388890577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-45) + (-542)\/10. Let v be 3\/(j\/63) - 6\/(-2). Let t = 4.1 + -0.1. Which is the second biggest value? (a) -0.4 (b) -4\/7 (c) t (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/9604*49*6\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345034679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-9)\/2)*(-1504)\/1316. Which is the third smallest value? (a) -242 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393806959*i**3 + 1025279619*i?\nAnswer: 2362841754*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 5. Let o = -0.3 + 0.2. What is the closest to o in -0.2, t, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67773701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1 + 21 + -11. Suppose 0 = 2*z - 6*z + r. Suppose 0 = z*o - 2*n - 8, 5*n + 12 = -13. Which is the nearest to 0? (a) -0.4 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + p - 1 = -2, 0 = g + p - 5. Let c = 4 - g. Suppose -c*r = -0*r - 3, -5*f - 3*r = -93. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24560778?\nAnswer: 2, 3, 11, 197, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/208 and 127\/12.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 33, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*x - 3 = 3*o, 2*x + 4*o = -4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**3 - 2*p**2 - p. Let v be h(-1). Suppose -3*n - 8 = -3*s + 1, -s + 23 = v*n. Solve -4*y = -s - 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*o + 141, w + 216 = -4*w + 2*o. Let d be 1*6\/(-4) - 21\/w. Let r(x) = 2*x + 1. Calculate r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = -24. Find the third derivative of x*s**2 - 2*s**2 + 3*s**5 - 2*s**2 - 9*s**5 wrt s.\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 10*r - 9. Let k be i(-7). Let q(s) = -3*s + 1. Let f be q(-1). Calculate the greatest common divisor of k and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10232300 + 2?\nAnswer: 10232302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -3, 398?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2205 divided by -834.\nAnswer: 735\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.2. Suppose 4*s - 3*d - 23 + 2 = 0, -d = -2*s + 9. Which is the closest to 2\/5? (a) -0.2 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 15*q**2 + 7*q + 18. What is d(-7)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q - 1\/12*q**4 + 0 + 0*q**3 - 1\/60*q**5 - 5*q**2. Let i(d) = -d**2 - d. Determine 3*i(l) - j(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 33 = x, 35 = -4*x - 4*o + 143. Solve -x = -11*b + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -420843 and -0.01.\nAnswer: 4208.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(11) - (sqrt(11) - 4*sqrt(11)*-2))**2 + (2*sqrt(66)\/sqrt(2))\/sqrt(3).\nAnswer: 90*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28229295 is divided by 606?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136341.9218 + 136321. Let x = c - -21. Round x to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007091940877 to 5 decimal places.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 42*v**4\/11 + 25169148*v**3\/11 - 1121886936*v**2\/11 + 1165057584*v - 632871360 = 0.\nAnswer: -599310, 4\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -4, 3792, -4\/49?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 191079992 = 5*k, -3*k - 203*z + 205*z = 114647996. Round k to the nearest one hundred thousand.\nAnswer: -38200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -930, -3020, -7116, -13890?\nAnswer: -24014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 - 3*s + 21. Let r(a) = -17*a**2 + 14*a - 83. Determine 9*p(m) + 2*r(m).\nAnswer: 2*m**2 + m + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/54 and 25\/2020059?\nAnswer: 4040118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*6\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1864938 and 121\/18.\nAnswer: 5594814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14*5.86\nAnswer: 82.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*h**2*u + 30*h**2 + h + 51*u**4 + 140 wrt u.\nAnswer: 134*h**2 + 204*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 10. Suppose -z*g + 5 = -g. Let i be (-1)\/((15\/(-54))\/g). What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 7*b**2 + 62*b + 426. Let j be y(-7). Put 0, 5, j in ascending order.\nAnswer: j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 - 12*h - 15. Determine o(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271300792 divided by 74207.\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/40 - d**5\/12 - d**4\/12 + 5*d**2. Determine l so that o(l) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 4*f**2 - 3. What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104465 is divided by 353.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 4 + (-16)\/2. Let z be 1\/s*15 + 65. Calculate the greatest common divisor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -592 - -839. Let d = m - 227. Calculate the highest common factor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.809 to one decimal place.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/((t**(-3\/8)*t)\/t)))**(2\/89))**(16\/3) assuming t is positive.\nAnswer: t**(20\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/72)\/((-2)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1818 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.72 + -0.72. Let l = 6451206 - 6451202.9999976. Let w = j - l. Round w to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + u + 3, -5*d = 5*u - 65. Suppose 0 = 2*j + 2*p - 20, -2*p + 19 = 5*j - 16. Calculate the remainder when -4 + d\/(24\/69) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7210 or -6517?\nAnswer: -7210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300133120 + -110302?\nAnswer: -300310022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4979c (base 14) to base 10.\nAnswer: -179870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 21*(1 + -2 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 5, -2443\/6, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 2*y**2 + 7*y**2 + 5*y - 7*y in the form m + w*y**2 + v*y and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13808 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -449, -928, -1599?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 22. Let l be q(8). Find the third derivative of -71*h**2 + 95*h**2 - 22*h**6 - 11*h**l wrt h.\nAnswer: -3960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 5. Suppose -q - g = 8. Let h = 17 + q. What is the remainder when 21 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17820552.\nAnswer: 2, 3, 113, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Suppose -2*l - 8 = -6*l. What is the first derivative of r*z + 1 + l*z - 3*z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.84 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 19 - 19 = 0, -3*t + v = -42. Solve 3 - t = -b + 3*p, 4*p = -16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (197709 - 7) + 4\/(-2). Let z = 1130700 - r. Round z to the nearest ten thousand.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005345 rounded to five decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d + 3. What is the second derivative of -97*z**2 + 10*z - 1 + 110*z**2 + d wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16 + 17)\/(6\/297852)?\nAnswer: 2, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*1 + (-285)\/120. Let i = -1\/8 + p. Solve -1\/4*c**3 + 1\/4*c + 1\/2*c**2 - i = 0 for c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + 11 + 13 - (2 - -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170912\/9 + 18990. Which is the closest to s? (a) 2\/3 (b) 2 (c) 0.4 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 442.4 + -435.4. Put 1\/3, -0.2, 3, -0.02, b in ascending order.\nAnswer: -0.2, -0.02, 1\/3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -70.999985. What is o rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 285 and 572955894.\nAnswer: 572956179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*i - 258*i - 256 = 0. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 688*q**7\/7 - 10*q**3 - 4*q + 572. Find the third derivative of c(h) wrt h.\nAnswer: 82560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 2*m - 1. Let y be k(2). Suppose w = -y + 7. Suppose -9 = -w*a + 7. Solve -2*t = -a*s + 2 - 10, -t - 2*s = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -51 (b) 279 (c) 2\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, and 2 f when four letters picked without replacement from aaqfqpqpfaaqq.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:10 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2)*(-45)\/60.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 666344178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - 0.41. Let b = 15.9278 - 16.2. Let s = b - f. What is s rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 - 24*k + 0*k**2 - 5\/3*k**3 - 7\/2*k**4. What is the second derivative of q(t) wrt t?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-44) - (-1110112)\/27016.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/31 (b) -3\/5 (c) -2\/9 (d) 48\/7 (e) 5 (f) -8 (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077008506.\nAnswer: 2, 7, 37, 2079167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1948002 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (4 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1*(-4 - -2). Suppose 0 = g*z - z - 3. Suppose 33 = 5*a + z*p, 7 = -a - 5*p + p. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 - -116. Let p = -57 - q. Sort -3, -4, 2, p.\nAnswer: -4, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - 2a995c?\nAnswer: -2a9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*h - 139 = 0, 4*o - 133 = 6*h - 3*h. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1487 is divided by 51.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741*r + 742*r = 12. Solve -3*c - 4 = a, 0 = 2*a - 2*c - r - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16699770 and 7155.\nAnswer: 16699770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (485\/1164)\/(10\/32)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/2)*((j*j\/j**(1\/5)*j*j*j)\/j)\/j)\/(j**(1\/5)\/j*j**3))\/((j\/j**(-1\/2))**34)**(-21\/5) assuming j is positive.\nAnswer: j**(2133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*u + 8*u + 13*u + 7*u**2 in the form k*u**2 + n + r*u and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 22 - 18. Suppose -12 = 2*k - 6*k. Solve k*m + 2 = -u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26420 is divided by 1333.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1824003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -1\/4, 0.133, -2, -6\/5, 149?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -0*t + 3*c, 15 = -2*t + 3*c. Let y be (6\/2 + -2)*t. What is the biggest value in 1, y, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*z + 30, -2*m = -298*z + 299*z - 5. Solve m*w - 42 = 11*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341331 + -5?\nAnswer: 341322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -45*k**5\/2 - 19*k**4\/6 + 33*k**3\/2 - 25*k**2 + 56*k. Let c be d(-50). What is c rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 529784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3045, -23, -6, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*u = 246 - 6100, 0 = -4*u + 4. List the prime factors of w.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 63 = 9. Suppose 4*g + w = 38. Let z be (-20)\/8*(-24)\/g. Solve 3*x + z = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6048*s**3 + 1480*s**3 + 2130*s**3 - 11*s**2 + 1464*s**3 to k*s + g*s**2 + u + x*s**3 and give x.\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.019 - -0.312. Let u = 20.371 - z. Let h = u + -20. Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (355\/(-1065))\/((-12)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/7, -1\/5, 7 in descending order.\nAnswer: 7, 5, 5\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 2. Let y be m(3). Let g = 3\/2336 - -4411\/203232. Is y != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 16*b = -b. Solve b = -15*t + 21 + 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1368318359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/3 + 61182340*k**2\/3 - 233954889901052*k\/3 - 233954951083396\/3.\nAnswer: -4*(k - 7647793)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 14\/(-21))*(-3)\/1. Let h be (((-4)\/(-5))\/(-4))\/(-5). Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 2*g + 2*g + 0*g + 0*g + (-1 + 0 + 0)*(5*g - g - 3*g))*(4*g - 3*g + g)*(-3 + 0 + 0).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 184*t**3 + 3*t**2 + 10*t - 17. Let q = 100 - 109. Let f be k(q). Round f to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6291, 15, 2 in decreasing order.\nAnswer: 15, 2, -6291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -126296260*j. Let p(s) = 5*s**2. What is p(k(d))?\nAnswer: 79753726449938000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2648 + 51648. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*s + 1151*s - 571*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 6 - (11 + -8)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 455541\/1223257 - -10\/4723. Let d = 2\/37 + v. Let q = -10 - -6. Which is the closest to -0.1? (a) 1 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 5:02 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69867 + -123880. What is f rounded to the nearest 100?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7148036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 5. Let b(o) = -3*o + 3. Let g(r) = 5*r - 6. Let s(m) = 7*b(m) + 4*g(m). Let y(q) = 3*l(q) - 5*s(q). Let i(x) = -3*x**2. What is y(i(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 - 4*c - 35. Let l be x(-8). Let n(g) = -2 + g + 0*g + 0*g**2 - 2*g**2 - g**3 + g. What is n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/3)\/v*v)*v**(-6)*v)\/(v\/((v\/(v\/(v**0*v)))\/v))**(-4\/25) assuming v is positive.\nAnswer: v**(-313\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 4*u**2 - 80*u - 15. What is l(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37247091 - 8211.\nAnswer: -37255302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 977671296 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344*q + 2*q**2 - q**2 + 0*q**2.\nAnswer: q**2 + 1344*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -21.330728\nAnswer: 277.299464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 2278199750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819 is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 4, -9, 608, 0, -5 in increasing order.\nAnswer: -73, -9, -5, 0, 4, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2. Let j = -6 - -11. Let i(p) = -12*p + j - 5. Give i(y(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-8 - -14) + 13 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*c + 24, -2*n + 5*c + 14 = 3*c. Suppose 0 = 2*u - 2*b, -3 - n = u + 5*b. Let d = 17 - u. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6) + -4 - (-5 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, -28, -8, 7 in descending order.\nAnswer: 7, 5, 2\/5, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/12)\/(3\/(-24)). Let r(z) = z**2 - z + 2. Let l be r(t). Let s be (15599997 - -2) + l + -3. What is s rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140580532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2\/3 + 15100*v\/3 + 833056\/3 = 0.\nAnswer: -3719, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 16 = -8*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/9 - 174016*i**3\/9 + 135338*i**2 - 2436044*i\/9 + 1392016\/9 = 0?\nAnswer: 1, 2, 4, 87001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 760\/(-475)*(-75)\/6*15\/2325?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2 - 1. Let s(r) = 2*r - 5. Let i be s(3). Calculate o(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -134, -2 in increasing order.\nAnswer: -134, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**3 + 11*q**2 + 18*q - 15. Let i(r) = 7*r**3 - 11*r**2 - 19*r + 15. Let l(u) = -5*i(u) - 6*w(u). Give l(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -437 (base 16) to base 3.\nAnswer: -1110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7206864.94 to the nearest 10000.\nAnswer: -7210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1139866 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 37. Let f(o) = -46*o + 39. Is f(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*f - 2*f**2 + 2 - 2 + (-81 - 38 + 183)*(3 + 3*f**2 - 3).\nAnswer: 190*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/11, -1782\/13, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 50. Suppose -r*c - 38 = -419. List the prime factors of c.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5780223.\nAnswer: 3, 642247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32375002*y**2 - 15999*y - 87?\nAnswer: -64750004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 8034?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -6800172556677?\nAnswer: 6800172556674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:51 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -424 + (-3)\/3 + 3. Let j = 847\/2 + v. Factor -3\/4*s**3 + 9\/4*s**2 - j*s + 0.\nAnswer: -3*s*(s - 2)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*x**4 - 97*x**3 + 136*x**2 + 28*x.\nAnswer: x*(x - 7)*(x - 2)*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3729 + -3728.5. Put -0.1, 1\/6, 86, a in ascending order.\nAnswer: -0.1, 1\/6, a, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378790865 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: Solve -5*r = 3*l + 7 - 12, r - 3 = -l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:30 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + 4.12. Let q = 2.9 + 5.1. Let r = q - p. Put r, -1\/4, -0.05 in increasing order.\nAnswer: -1\/4, -0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w + 9*w + 3*w**3 - 325*w**2 + 322*w**2 + (-2*w**3 + 2*w**3 - w**3)*(0 + 3 - 1).\nAnswer: w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 73851 and 5.1907742.\nAnswer: 73856.1907742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 0.84, -0.255, -3, 4?\nAnswer: -0.255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 27. Let d be 7 - (3 - ((-21)\/(-7) - 13)). What is y(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * 5.9\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*m - 36 = 3*c - 749*m, -6*c + m - 45 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -22. Is 21*((-6740)\/c)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14825 = 5*c - 66450. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 36.8 (c) -0.5 (d) -4\/5 (e) 5\/4 (f) -3 (g) 116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 7*r = 4*r - 18, -3*r = 2*b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.07 (b) -1377 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x + 63. Let b(v) = -9*v + 52. Let m(q) = 4*b(q) - 3*k(q). Calculate m(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54161\/10 + 370852\/45. Let p = -2826 + x. Calculate the common denominator of 39\/4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*u**4 - 57*u**3 - u + 16272 wrt u?\nAnswer: -12*u**3 - 171*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4389 + -1.5611. Which is the nearest to 2\/7? (a) w (b) 1\/3 (c) -0.21 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/136 and 53\/32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + o**2 + 2*o + 1. Let d be a(-1). Suppose 0 = c - d*c + 6. Let i be 2 + -1 + 5 - 33\/11 - -9. What is the greatest common factor of i and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1000110111011?\nAnswer: 1000110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - (-1*sqrt(133) + sqrt(133))) - sqrt(133))*-3)\/(sqrt(56)\/(1*sqrt(8) + sqrt(8))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -3, 3, -1\/7.\nAnswer: -8, -3, -2, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(19) - (sqrt(19) + -3 + 4))**2 - (sqrt(19) - 1*sqrt(1216))).\nAnswer: 5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)\/s)\/s)**(-14\/5)\/(s*s*s**(1\/8)*(s**(-1\/2)\/s)\/s) assuming s is positive.\nAnswer: s**(829\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b - 3*m + 26 = 0, 54 = 3*b - 3*m. Let h(d) = -3*d. Let w be h(1). Let p = w + b. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/2))\/b*b**3*((b*b**(-1))\/b)**(-19))**6 assuming b is positive.\nAnswer: b**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:58 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 26 + 1 - 16 + 41.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 25*h - 4. Let a(n) be the second derivative of -9*n + 2 + 0*n**2 - 1\/3*n**3. What is a(d(f))?\nAnswer: -50*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 - -188. Let j(r) = r**2 + 3*r - 3. Let m(u) = u - 1. Determine v*j(i) - 3*m(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12344.58 - -12345. Which is the nearest to -1? (a) -2\/15 (b) q (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.058 from 49.\nAnswer: 49.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3446, -2, -0.44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/7 - 1268*l**4\/7 + 198426*l**3\/7 + 808984*l**2\/7 + 814088*l\/7 = 0 for l.\nAnswer: -2, 0, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 7. Let l be s(8). Suppose 0*k - v - l = -2*k, 3*k = -2*v + 15. What is the remainder when 2\/4 - 25\/(-2) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113.72 - 113.71931895. Round k to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-8 + (-8 - (3 - 24))))\/1. Suppose u*s**2 + 0*s + 0 - 1\/3*s**3 = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + -13?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*c)**(-10\/7) assuming c is positive.\nAnswer: c**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8242*j - 8266*j - 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 - 73*g - 11. Let n be s(-10). Solve n*u + 22 = 5*v + 20*u, 6 = -2*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5\/3 + 28*r**4\/3 - 2*r**3\/3 - 104*r**2 = 0.\nAnswer: -3, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -13\/16, -1\/4, -2\/11, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 45 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*k - 44 = -12, 0 = -2*l - 5*k - 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 3. Suppose -j = -3*z + 30. Suppose -z = 2*x - 77. What is the greatest common factor of x and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + m**2)*(m**2 - 2*m**2 + 0*m**2) + (-3*m + 2*m + 0*m)*(m**3 - 4*m + 4*m) + 327*m**4 + 368*m**4 + 338*m**4.\nAnswer: 1031*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 3, v: 1}. What is prob of picking 2 h and 1 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (4 + sqrt(1088) + sqrt(1088) + 0)) + sqrt(1088) - sqrt(1088) - sqrt(1088) - (-1 + sqrt(1088) + 1))**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let u(w) = w**3 - 15*w**2 - 33*w - 18. Let k be u(17). Let v(i) be the first derivative of 3*i**2\/2 - 2*i - 1. Determine k*v(h) + 5*j(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4)*2*(53 - 55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*g + 3 - 18, 2*g + o = 9. Suppose -l + 2*l - g*m - 1 = 0, 3*l - 24 = 5*m. Let w = 129 - -1. What is the greatest common divisor of w and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 7*m**2 - 9*m + 1. Let l(w) = -5*w + 2 - 1596*w**2 + w**3 + 1600*w**2 - 1. Give -7*l(c) + 4*u(c).\nAnswer: c**3 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/(-1827))\/(((-912)\/(-42))\/4).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 13 - 12 - 1. Let b be c(4). What is the units digit of (75\/(-50))\/(b\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*z - d, -d = -6*d + 20. Let f = -1 + z. Let y be 1\/f*(-3 - 1). Solve -10 = -2*k - 3*k - y*h, 3*k - h = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.67 + 37.73. Let a = z - 34. Let p = a + -5.399903. Round p to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5274 divided by 3\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f. Let o(w) be the third derivative of w**4\/6 + 16*w**2. Calculate 7*a(r) - 6*o(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4 + v - 2*v + 6*v**3 - 2*v. Let z(r) be the first derivative of -7*r - 2 + 11\/4*r**4 - 5\/2*r**2 + 0*r**3. What is 7*x(g) - 4*z(g)?\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 923\/185 - (-850 - -841).\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1983746 = 3*t - 3610549, -3*t + 5594292 = -3*l. Let u = t + -3592647. Let k = -2447886 - u. What is k rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -528597.81 and -449.\nAnswer: -529046.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -447, -136 in decreasing order.\nAnswer: 1, -136, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.011?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 735781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 6, o: 7}. Give prob of picking 1 a and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, -4 in ascending order.\nAnswer: -18, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-459)\/(-102)*4\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -40. Suppose 278*p - 976 = 57*p - 23*p. Suppose -3*l - 9 = -0*l. Put 0, p, o, l in decreasing order.\nAnswer: p, 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(539) + 1*sqrt(539)) + 4)**2.\nAnswer: 336*sqrt(11) + 19420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**2 + 41*l + 36. Calculate d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/48)\/(2\/9). Let h = 0.4 - 0.3. Let x = 0.1 + 0. What is the nearest to h in g, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l - l + (-2*l - 3*l + 7*l)*(14 - 5 + 5))*(2*l - 4*l + 4*l)*(4*l**3 - 2*l**3 - 3*l**3).\nAnswer: -58*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 22504770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4613, -4619, -4625?\nAnswer: -4631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1)\/2*4. Suppose m*i = l + 92, -5*i + 92 = -i - 5*l. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/(h\/(h\/h**(-8\/11)))))\/h))\/h**(-3\/2))\/(((h**1\/h)\/h)\/(h*h*h**3)) assuming h is positive.\nAnswer: h**(225\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -71.76. Let h = d - -0.66. Does h = 9.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfffvvvfvv. Give prob of sequence vvfv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 4. Suppose i*g + 5*f = 28, 0 = 4*g + 2*f - 6*f. Let p be 2\/g*-2*1. Put -4, -3, p in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -31*y**2 - 2*y. Let p(f) = 113*f**2 + 8*f + 1. Let u(i) = -23*j(i) - 6*p(i). Let m(o) = -23*o**2 + o + 4. What is 8*m(l) + 5*u(l)?\nAnswer: -9*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 2*a**2 - 5*a - 2. Let j be g(-3). Let h = j - 6. Suppose -278 = 56*d - 54. Which is bigger: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*t**2 + 27*t - 111*t**2 + 221*t + 41*t**2 as u*t + r + f*t**2 and give u.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.21073l in millilitres?\nAnswer: 9210.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 10*g - 2*m, -4*g - m + 152 = 151 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7 - 1 + 19*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 0.1 (c) 3 (d) -826\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfuyr. Give prob of sequence uwfy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/4 - 57*t**3\/2 - 37*t. Let i(x) = 0. What is x?\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*i - 24, 2*i + 2*w = -2*w. Is (33\/i + -1)*-14 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/((x\/((x\/x**(-6\/5))\/x))\/x)*x)\/x*x*x**(-1\/3))**47*(((x*x\/(x*x**(-1\/3)))\/x)\/x*x)**(1\/21)\/((x*x**(2\/9))\/x**0) assuming x is positive.\nAnswer: x**(71671\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 102245*b + 511234. Give d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/13)*j*j**(3\/2)\/j)\/((j\/j**(-3\/7))\/((j*j*(j**(-19)*j*j)\/j*j*j)\/j*j)))**(3\/8) assuming j is positive.\nAnswer: j**(-7521\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-5)*i)**(24\/7)*(i\/i**(-1\/28)*i)\/i**(-1) assuming i is positive.\nAnswer: i**(-107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = -16*a - 43 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from pff?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 7*k + 5. Let j be (-4 - 1) + -1 + 1. What is n(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (669324\/(-14161))\/193*((-14)\/4)\/(-1)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*d = 568, 0*v - 5*d + 202 = v. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -101. Let z = -21\/4 + 5. What is the nearest to z in l, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*j = 19, -513*j + 39 = b - 509*j. What is the remainder when (-44)\/6*(-6)\/2 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5353*y**2. Let s(h) = 1463*h**2. What is v(s(j))?\nAnswer: -11457395257*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 6, -3\/2, 2, -2\/11 in increasing order.\nAnswer: -3\/2, -2\/11, -2\/15, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.772551331 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*11\/((-396)\/120)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 2. Suppose 0 = -4*q + n*q. Suppose -4*g + 124 = -q*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18 - 16 - 9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(2 + 4)*(0 - -82). Let q = c + -38. Suppose -3*m - 67200000 = q*m. What is m rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -9, 0.2, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207539366?\nAnswer: 2, 17, 6104099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -374 (base 14) to base 9\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90827083\/684 + -132788. Let j = -1\/36 + y. What is the nearest to 0.3 in j, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 8, u: 1}. Give prob of sequence iu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-4)*(-8)\/(-6). Suppose 2*k + 2 = v + 4*v, v = -k + z. Factor 1\/3*g**k + 1\/3*g + 0 - 1\/3*g**2 - 1\/3*g**3.\nAnswer: g*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11822 - 3864. Is s a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177797 + -1175415965\/6611. Let y = t - -317290\/125609. Is y at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/7, 4, 47, 1, 2\/3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 + 5*s - 1. Let n be 8 + -8 - 3\/((-3)\/2). Let m be v(n). Let a = 12 + m. Solve 2*w + 5*i + 13 = -2, 3*w = 2*i + a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4.3. Let i = 103676\/5 - 20631. Let l = -104 + i. What is the third smallest value in h, -2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 842656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 928*r + 932.\nAnswer: -4*(r - 233)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 5*o. Let v be (o\/2)\/(-3) - -8. Solve v = -i - l, l - 7 = -i + 3*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 370 = -3*g, -3*j = -6*g + 8*g - 245. Let r = 43 + g. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2060 + -1530. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2572 in 0.4, 2, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 3*v**2 - 72891558*v + 72891558*v + 11*v**2.\nAnswer: 2*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(77) + sqrt(77)))\/((sqrt(35) - (sqrt(315) + sqrt(35)))\/sqrt(5)))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7385133 is divided by 2461697?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeze when four letters picked without replacement from {k: 1, b: 1, z: 5, e: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 104. Suppose 47*f - 107 = r*f. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f + -4f39?\nAnswer: -4efa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/2 - 363979*t\/2 - 2911960 = 0 for t.\nAnswer: -16, 363995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -1112251 in decreasing order.\nAnswer: 0, -15, -1112251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, t: 1, v: 9}. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.381625 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 4 = 40*o + 4*m, 0 = -3*o - m + 53 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -25.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 939. Let j(i) = -8*i + 3767. Calculate 4*j(x) + 18*l(x).\nAnswer: 4*x - 1834","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 - o**2 - o + 1. Let m be 2\/4*16\/4. Suppose t - 3 = -m*t. Give j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 766 + -546. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-2 - -1) - -2. Let j be (-73870)\/22*7\/w. Let f = j - -11749. Find the common denominator of f and 95\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = g + 5*t, 11*g + 7*g - 14*g = 4*t + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 373, 6, -2 in increasing order.\nAnswer: -2, 4, 6, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*n + 15 + 58 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*t - 66, 33 = 2*g - 2*t + 9. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -207497 greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/15 + 2*g**2. Let p(c) = -2*c**2 - 5*c - 5. Let k(a) = -a**2 - 2*a - 2. Let m(u) = 5*k(u) - 2*p(u). What is m(j(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l + 3. Let u(s) = s**2 + 160*s + 2. Determine x(u(t)).\nAnswer: -11*t**2 - 1760*t - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 27903993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13200, -13259, -13318, -13377, -13436?\n\"Answer: -59*d - 13141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 1:41 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222 or -5227?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:00 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 9:27 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24562 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:30 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 2*h + 2 = 9*h + d, -h - 53*d = -205 - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 85*a**2 + 54*a - 45. List the prime factors of p(-8).\nAnswer: 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9296796 rounded to 1 dp?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 2295018.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, -77, -369, -823, -1439?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 - 2*v**3\/3 - 11*v**2. Determine i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 113*c**2 + 1689*c + 1961. Determine x(95).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 270252*t - 9129517938.\nAnswer: -2*(t - 67563)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 14)*(-12 + 10 + 75)*((0*l**2 + 3*l**2 - 2*l**2)*(-l + l + l) + 0 - 2*l**3 + 0).\nAnswer: 1168*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -79*k - 1. Let c be o(2). Let h = -519 - c. Is 2\/(4\/h*-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 1\/6, 0.0424, -0.4, 511?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 528001589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-363))\/(16\/(-6) - -2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n + 4*n**2 - 2 - 2*n**2)*(-n**3 + 0*n**3 + 2*n**3).\nAnswer: n**5 - 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -13) + (-7 - 3 - -7 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2454619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8730 and 18390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-558)\/93*(-2)\/(-4)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/12 + -3)*-4. Let o be t\/(3 + 132\/(-45)). Solve -2*y - 6 = 3*m, -6*y = -y + o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -46. Suppose -4*r + h + 25 = 0. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4766 and -31\/431323.\nAnswer: 862646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(14)*-3)\/sqrt(7) + (-2 + sqrt(242))**2).\nAnswer: -492 + 94*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 22)*4\/(-30)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - (-6 + -1 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v - 3*v. Let r be ((-10)\/(-8) - 12\/48)*1. Put 2, r, v in increasing order.\nAnswer: v, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*v - g*w**3 + 114*g*w**2 + 988*g*w + 16605*v*w**3 + 5*v*w + 2*v + 64*w wrt w?\nAnswer: -6*g*w + 228*g + 99630*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 110041.8102 microseconds?\nAnswer: 0.0000001819474375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(100)\/sqrt(4))\/(sqrt(30)\/(sqrt(24)\/sqrt(4))) + (-1*1*sqrt(180) + sqrt(180) + sqrt(180) - 4*-1*sqrt(180))**2.\nAnswer: sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 8:14 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*k + 19 = 0, q - 8 - 13 = -5*k. Suppose -h = -q - 2. Let r be (-5)\/h*(1 - 4). Calculate the highest common factor of r and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 419 = -4*y, -289*u + 293*u + 3*y = 334. Calculate the remainder when 115 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178433269?\nAnswer: 7, 4649, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 11. Let w(u) = -u + 1. Let x(f) = -12*f. Let a(q) = 10*w(q) - x(q). Let p(y) = -3*a(y) - 2*k(y). Give p(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270743830.\nAnswer: 2, 5, 7, 3867769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 124 = -64. Find the common denominator of x and 93\/(-2) + (0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-598)\/3588*-18*6\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3685361?\nAnswer: 233, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*b, -2*n + 7*n = -4*b. Solve 4*q - 11 = -4*p + 13, 4*q + 5*p - 27 = b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 3*s**5\/5 - 3*s**4\/2 - s**3 + 3*s**2 - 20. Factor v(m).\nAnswer: 3*m*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2780368 and 1.\nAnswer: 2780368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-4))\/(1\/(-1)). Suppose 2 = u - 3*u. Let c = 0 + u. Is k > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63e9ab (base 15) to base 6\nAnswer: -245545425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 6)*1\/1. Let d = x + -4. Suppose 0*p - p + 52 = -4*q, 0 = -d*p - 4*q + 108. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3308*a + 33071. Determine p(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t - 2*t**4 + 6*t**4 - t**4 wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/7 + 24*t**3\/7 + 54*t**2\/7 - 81\/7 = 0. Calculate t.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*n + 95 = 161*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 94*y**4 - y**3 + 90*y**4 + (-4*y**3 + 4*y**3 - y**3)*(5*y + y - 5*y) as l + q*y**3 + h*y**2 + z*y + s*y**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 198, 1281, 3074, 5577, 8790?\n\"Answer: 355*z**2 + 18*z - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 335277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n. Let u(l) = 13938*l**2 - 111*l + 2. Give z(u(i)).\nAnswer: 111504*i**2 - 888*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728.06257 rounded to the nearest integer?\nAnswer: -1728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 1 - 23 - 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*w + 3*w - 13, 4*w = 4*n + 12. Suppose 3*p - g - 47 = -3*g, -n*p - 5*g = -24. Solve -4*t + p = -a, 0*a - a = t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128887113 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.33 + 0.329997. Round q to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13131b6d - -1?\nAnswer: 13131b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -3, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2016, 8054, 18122, 32220, 50348?\n\"Answer: 2015*x**2 - 7*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**3 - 7*o**2 - 1. Let j(h) = 10*h**3 - 6*h**2. Let z be ((-2200)\/(-176))\/((-10)\/(-4)). Give z*s(b) - 6*j(b).\nAnswer: -5*b**3 + b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 9 - 16*d + 23*d)*(-4 + 0 + 1) in the form z*d + x and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(40\/295) + -2 and -51\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 1. Let k be j(-2). Suppose -3*q + 5*p + 74 = 0, -4*q = -0*p + k*p - 122. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 58*d + 60.\nAnswer: -2*(d - 1)*(d + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100010 - 1011100100?\nAnswer: -111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + 4. Let l(o) = o - 11. Let j be l(6). Put 3, w, j in descending order.\nAnswer: w, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*v + v - 24, 5*p - 12 = 2*v. Suppose 5*c - p*c = 4. Suppose -y + 2*y - c = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/14)\/((-1)\/7). Suppose -z*j + 0*j + 64 = 0. Differentiate 27 - j + 8*c**3 - 14 wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -112221110010121?\nAnswer: -112221110010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11892 = 4*d, -4*g + 17*d = 18*d - 47500. What are the prime factors of g?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -2 + -12)*(-1)\/3*5 - -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5948 + -5952. Which is the closest to 1? (a) 9 (b) f (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/938 and -13\/1407.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 109*k + 5373. What is p(-49)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3341 + 3340. What is the fourth biggest value in 0.2, -129, y, 0?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*f + 2*f, -u + 31 = 5*f. Calculate the greatest common factor of 368 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oezeooozzzzeooookoz. Give prob of picking 3 e and 1 z.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in -1, -4, 0.030112, -1\/3?\nAnswer: 0.030112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 180 + 158 - 11*o - 338. Let l(q) = -8*q. Calculate l(t(m)).\nAnswer: 88*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 24 = 0. Suppose 0 = 3*j - 7 + 1. What is the third derivative of x**2 + 2*x**q + 2*x**5 - 4*x**6 - j*x**5 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17)\/30)\/(-17))\/((-34)\/(-204))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsashasass. What is prob of sequence ah?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 + 49*y + 4374. What are the prime factors of f(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 12, 2600?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5a7b92 (base 14) to base 16\nAnswer: 2f38f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18051494 divided by 46?\nAnswer: 9025747\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 12. Let i be g(5). Suppose 24*s + 75 = i*s. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 5*m**3 + 6*m + m**4 - 4*m - m + m as g*m + a*m**3 + z*m**2 + d*m**4 + k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2\/5*j**5 + 2\/5*j**4 + 0 - 42\/5*j**3 - 82\/5*j**2 = 0. Calculate j.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46368 and 13734.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 18. Let l be c(-14). Solve 23 = 4*s + 3*a, -l*s - 4*a = -9*s + 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-921)\/(-6140))\/(0 + (-6)\/(-8))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*d, -3*d - 4 = -5*d. Suppose u = -0*u. What is the closest to u in 0.1, l, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l + 8. Let b be d(8). Let h = 115 + b. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*f + 23, -14 = 5*c - f + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -511*x - 2155. Determine j(-12).\nAnswer: 3977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.51 + -0.31. What is the second smallest value in p, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from roboooorronoj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 21 = -17. Let g be 7 - (-3 + 1)*(t + -5). Let l be ((-2)\/68 - g) + 5. Put -5, 5, l in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-432)\/(-12))\/(1\/6). Let s = o - 89. Let g = s - 68. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 692?\nAnswer: 692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 692, 668, 630, 578, 512?\n\"Answer: -7*f**2 - 3*f + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n - 6. Let t be h(-6). Suppose -5*w + t*w = 1445. Let v be (-34)\/w - (-96)\/(-1394). Which is the second biggest value? (a) v (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24*((-1079)\/(-2) - 15\/(-20)). Is ((-100)\/40)\/((-3)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3803551515 to the power of 1\/2, to the nearest integer?\nAnswer: 61673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 140*z**2 - 140*z - 135. Let c be d(-69). Let k(l) = -l**3 + l**2 - l + 5. Let s be k(0). Solve 4*b + 7 = s*r + b, 4*r - c*b = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1035, 8823, 29995, 71235, 139227, 240655, 382203, 570555?\n\"Answer: 1114*g**3 + 8*g**2 - 34*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 3*i - 112. Let t be u(13). Suppose -2*l = -3*x + t, 2*x + 0 = 3*l + 17. Sort -2\/25, -0.01, x in ascending order.\nAnswer: -2\/25, -0.01, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 92\/485?\nAnswer: 92\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 16 = 56. Suppose -5*j - v*w + 3513 = 0, -3*w - 684 = -3*j + 1440. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -k + 7 - 0, k + 13 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-2 - 1 + 1) - 3 + 0 - 1)*(10*a**3 - 8*a**3 - 7*a**3) + (-2*a**2 + 2 - 2)*(-a + 2 - 2).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131945 is divided by 188640?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Let u = t - -3.8. Let v = u + -4.1. Which is the nearest to 2? (a) 5 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 20*p**4 + 2*p**3 - 9*p**2 - 13*p + 11. Let s(h) = h**4 - h + 1. Suppose -7*c = -8*c - 2. Let r(k) = c*t(k) + 22*s(k). Factor r(m).\nAnswer: -2*m*(m - 1)*(m + 1)*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444304800.8 - -78?\nAnswer: 1444304878.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose -2*v = 5*o - 5*v - 3, 0 = -y*v - 5. Solve o = 2*t + 3*t + 2*g + 35, -2*t - 3*g - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/2448141 and 65\/29377692.\nAnswer: 29377692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 764.7 times 0.0085\nAnswer: 6.49995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 10 - 4*p**2 - 8*p + 0*p. Let a be r(-5). Let i(c) = 0*c**2 + a*c**2 - 3*c**2. Let x(y) = -4*y. Give i(x(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27*(-16)\/(-20) + 0. Which is greater: p or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 358\/4 - (-1)\/2. Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5396 divided by 284?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(100)*5)\/sqrt(2) + sqrt(50))**2 + 5)*6.\nAnswer: 10830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -10*a + 1. Let h be 2\/a*(-2 + 10). Suppose -2*w + 712 = b - 287, -h*w = -2*b + 2028. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2206 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 261.9671. What is l rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 - 339*a**4 + 387*a**3 + 5199*a**2 + 7896*a + 3420 = 0. Calculate a.\nAnswer: -114, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 1, -2*r = 5*y - 21644. Let a be 34687\/8 + 2 + -1. Let x = y - a. Calculate the common denominator of x and -55\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.233 + -300.767. Let w = r - -298. Which is smaller: -28 or w?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -59*i**3 - 60*i**2 - 19*i - 28. What are the prime factors of p(-7)?\nAnswer: 2, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-18)\/(-57))\/(420\/45) and -7\/380?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 - 612*u**2 + 2412*u - 2400 = 0. What is u?\nAnswer: 2, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4\/5 - 141*q**3\/5 + 1116*q**2\/5 - 972*q\/5 = 0.\nAnswer: -54, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (1 + 1)*85779044\/(-104). What is p rounded to the nearest ten thousand?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51965, -51968, -51973, -51980, -51989, -52000?\nAnswer: -52013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 9) + 12 + -9 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, u: 1, g: 5, d: 1, l: 2}. Give prob of sequence go.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 - 2*r**2 - 6*r**2. Let u(n) = -21*n**2. Let t(c) = -6*c**2. Let h(o) = -18*t(o) + 5*u(o). Give d(h(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -21113058\nAnswer: 13\/21113058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by 72?\nAnswer: -47\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -31*t**2 - 743*t + 50. Let l be s(-24). Solve -40 = -34*j + l*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.1, -9689 in descending order.\nAnswer: -0.1, -2\/9, -9689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9859?\nAnswer: 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = 16*x + 145 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12534 + 49751\/4. Let c = n + 96. What is the nearest to 0.5 in 1\/4, 3, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 14*f**2 + 10*f + 5. Let i be z(-9). Suppose i + 5 = 5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13302995 is divided by 2008?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -22. Let o be (-3)\/(-9) - (-33)\/y. Solve -3*x = -3*a - 0 + 24, o*a - 5 = -5*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/4317 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32793.025153 - -1650\nAnswer: -31143.025153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 7 + 2. Let n be 24\/(1 - p) + 2. What is the derivative of -8*k + n*k - 2*k**4 - k**4 + 5 wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-5*-1*sqrt(11)))\/(sqrt(20)\/(sqrt(25)\/sqrt(5)) + 2*(sqrt(16) + sqrt(4))).\nAnswer: sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/(-25) - 2*(-2)\/20. Let d be ((-4)\/(-16))\/(m\/8). Put 2, 5, d in ascending order.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 - 2*u - 1. Let i be z(-4). Suppose i = w - 41. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 0 (b) 23 (c) 4 (d) -5 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 7. Let r be o\/4 - 1\/(-2). Let k = -16 - -48. Calculate the greatest common factor of k and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2))\/((-4)\/2). Let x be (1\/j)\/(1\/(-7)). Suppose 45 = 4*t - x. What is the highest common factor of t and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u\/(u**(2\/13)*u))\/(u**(4\/5)*u*u**(3\/5)*u))\/(((u*(u\/(u**(-5)\/u))\/u*u)\/u**3)\/(u**(-1\/4)*u**5)) assuming u is positive.\nAnswer: u**(-469\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36328371 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/28*-8*(-70)\/480?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294 + 320.2. Let v = d - 53. What is v rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -2\/5 (b) 0.2 (c) -1.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-590)\/15 + 6\/(-9). What is the common denominator of 33 and -3 + -1 + (-652)\/h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -3 (c) -233 (d) -1404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqs when three letters picked without replacement from fkmqqnssn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 767 + 49*v + 264 + 254.\nAnswer: 49*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 253083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 18\/767483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 4\/3, -0.13 in increasing order.\nAnswer: -1, -0.13, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216291, -432344, -648397, -864450?\nAnswer: -1080503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 - 4*a**2 + 0*a + 0*a**3 + 0*a**5 - 1\/84*a**8 + 0*a**7 - 1\/24*a**4 + 0*a**6. What is the second derivative of l(r) wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*y + 40*y - 3*y + 2905 = 0 for y.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + u**2 + 3*u**3 - 2*u**2 + 2*u - 8*u**2 + 64 - 9*u**2 to the form j*u**3 + c*u**2 + t + l*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 111*p + 5103\/2.\nAnswer: -(p - 21)*(p + 243)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20154037 times 1.9?\nAnswer: 38292670.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 12. Suppose -w = -0*a - 2*a. Find the first derivative of -4*o**2 - 2 + 10*o**a - 7 + 0*o**2 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44244 divided by -22122\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*r*u**2 - 10*h*u + 3*h - 2*r*u**3 + r*u + 411*u**3 + 2*u wrt u?\nAnswer: -4*h*r - 12*r*u + 2466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -269 + 12. Let u = g + 257.1. Is u > -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46414391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/72 and 47\/686448.\nAnswer: 686448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.36568 to two decimal places.\nAnswer: 5.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 3. Suppose -7*m = -4*m - 5*w - 14, -u = -5*w. Suppose 17 = 2*j - m. What is the remainder when 29 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -562420?\nAnswer: -562423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let f(n) be the first derivative of -73*n**2\/2 + n + 260. Calculate the remainder when f(x) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106, -113, -122, -133, -146, -161?\n\"Answer: -v**2 - 4*v - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukqq when four letters picked without replacement from {f: 1, q: 4, k: 8, u: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*(-6)\/(-84)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 22295 = 34251. What is the greatest common factor of 98 and m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304553 (base 6) to base 5.\nAnswer: -1240110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 92*r**3 + 5*r**2 - 2*r + 4. Let a(b) = 93*b**3 + 4*b**2 - 2*b + 3. Determine 4*a(s) - 3*c(s).\nAnswer: 96*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = x + 3, 5*x - 5*o + 23 = 8. What is the closest to 0.04 in x, -0.8, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046 - 1018 = 14*d. Let s(i) = -3*i + 1. Let m(u) be the first derivative of -6*u**2 + 5*u + 9. Calculate d*m(x) - 9*s(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(sqrt(112) - (-5*sqrt(112) + sqrt(112))) + sqrt(112) - sqrt(112) - sqrt(112))*-6 + 4)**2.\nAnswer: 20160*sqrt(7) + 8890640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 6*y - y + (0 - 4 + 3)*(4 - 4 - y) - 5054 + 134*y + 5054 as o + n*y and give n.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + t = -2, -2*d + 5*t - 8 - 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**2 - 32\/13*u**4 + 0 - 2\/13*u**5 + 0*u + 0*u**3.\nAnswer: -2*u**4*(u + 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*x + 7. Suppose x*v = -v. Solve 0*b + 2*b + 5*c - 14 = v, -3*b = c + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/4073 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(28)\/sqrt(4)))\/sqrt(9).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Solve -2*g - 6 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5\/7 - 328*d**4\/7 - 220*d**3 = 0 for d.\nAnswer: -77, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*i + 84 + 120 = 0, -2*r + 5*i + 116 = 0. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1308.60824 - -980.9347. Let x = -331.074 - n. Let i = 3.4 + x. What is i rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/325*15\/684\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -86*v - 4819. Calculate c(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 1.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -13671984.\nAnswer: -3\/2278664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-7))\/(140\/7).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 6 + 4\/(-12)*-6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + b55ce?\nAnswer: b55db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 176981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -13. Let t be ((-3)\/(-2))\/(p\/30). Let o be t\/(-1)*(-2)\/(-6). Round o to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 6 + 1469*r - 13 - 7 + 16 to the form j + d*r and give d.\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 16. Let r be a(3). Let y(j) = -j + 7. Determine y(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*s**2 + 1642*a**2*s**3 - 35*a**2 - 151*a*s**2 + 4*a*s - 1511*s**3 + 2*s**2 wrt a.\nAnswer: 24*a**2*s**2 + 3284*s**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 10*c - 8. Let m be u(12). Suppose 0 = -3*p + 4*r + r + 23, 0 = -4*r - m. Suppose 0 = 8*z - 63 - p. Put 2, z, 0 in descending order.\nAnswer: z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**7\/21 + 11*a**4\/12 + 13*a. Find the third derivative of h(p) wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1957 from -1.929658.\nAnswer: 1955.070342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*b**2 + 2810*b**2 - 144 - 238*b**2 + 141 to the form h*b**2 + p + j*b and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*g**3*p**3 - g**3 - 117*g*p**3 - 5*g*p**2 + 83*g*p wrt p?\nAnswer: 192*g**3 - 702*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000894 (base 10) to base 3.\nAnswer: -10202122201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -118264, -118231, -118200, -118171, -118144?\n\"Answer: -c**2 + 36*c - 118299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 + 2.8. Let w = 4 + -9. What is the biggest value in w, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - -2*(sqrt(4)\/sqrt(2) + sqrt(2)) - (sqrt(2) - (sqrt(242)*-1)**2) - (sqrt(20)\/(1*sqrt(10)) - sqrt(2) - (1 + sqrt(200))).\nAnswer: 14*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135725309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -54\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 13) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205700 - 11049*n - 1205700.\nAnswer: -11049*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = 0. Suppose i = -z + 2, -3*c + 4*z + 1 = -6. Suppose 5*v = -a - c, -9 = -4*v + 2*a + 1. Solve -t - t + 10 = v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37461424.\nAnswer: 2, 7, 11, 13, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351005891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*v - 32, -3*f - 6 = -4*v + 7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -566.93 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120031 (base 4) in base 5?\nAnswer: -1033213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 3*u - 2*u. Let t(h) be the second derivative of -2*h**3\/3 - 3*h. Give z(t(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 339235 = -32*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a7cc + -4a2?\nAnswer: -1aca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*z - 1\/10*z**2 - 13\/5.\nAnswer: -(z - 13)*(z - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10612 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 6. Let q = 47 - 44. Let x(b) = 3*b - b**q - 3 + 94*b**2 - 94*b**2. Let g be x(2). What is d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 + 2*h**2 - 3*h**3)*(-9*h + 2*h - 9*h) + 0*h**4 + 0*h**4 - h**4 to the form a*h**4 + k*h + z*h**2 + m*h**3 + i and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.84 + 36.7948. Round s to 2 dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b + 8*b**2 - 10*b + (-b + 5*b - 5*b)*(-10 + 2*b + 10) + 3*b**2 - b**2 + b**2)*(-2*b + 3*b + b).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 111101101000001010?\nAnswer: 111101101000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}