diff --git "a/data/dm_maths/full_data/1101_11255.jsonl" "b/data/dm_maths/full_data/1101_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1101_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f(b) = b**2 + 4*b + 2. Let r be f(-3). Let u = -11 + 12. Let c be 2\/(2 - (u + r)). Calculate the greatest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 382 or 234?\nAnswer: 382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -672 + 676. Solve 6 = -4*a + 5*c + 5, q*c - 8 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*i + 297*i = -3*h - 4, -39*i = -0*h - 5*h + 29 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134830 is divided by 162?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + q + 36 = 24, 4*k - 4*q - 16 = 0. Let d(z) = 20*z + 4*z**2 - 9 - z - 20. Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((6 - 7)\/3)\/(1\/(-459)). Let m = 175 - g. What is the remainder when 36 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 5*l**5 + 5*l**5 + (-l + 3 - 3)*(-3*l**4 + 7*l**4 + 0*l**4) - 2*l**5 - 4 + 4 + 3.\nAnswer: -8*l**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-28) + 8\/(-28). Suppose 2*k - 21*j + 19*j + 18 = 0, 27 = -k + 4*j. Sort -75, k, d, -4 in increasing order.\nAnswer: -75, -4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-16) - (-1 - 3\/2). Suppose 9*z + 5*z = -14. Sort z, 9, a in ascending order.\nAnswer: z, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107608*g**6 + 1176*g**3 - 537072466*g**2.\nAnswer: 12912960*g**3 + 7056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/6 + 3121*i. Let h(d) = -1976*d - 1. Calculate s(h(z)).\nAnswer: 1976*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66330792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 80. Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14118328 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 12*j**2 + 8. Let m = -67 + 112. Calculate the remainder when m is divided by k(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(13\/2)\/(u**(1\/3)\/u*u\/(u*u**(-7))*u))**(-2\/37) assuming u is positive.\nAnswer: u**(-34\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 3?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*y - 3328, -z - 4*y = -477 - 345. Let w be -10 + z\/70 + 1\/7. Solve -5*s + g = 6*g - 20, w*s + 4*g = 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from augaugagggag. Give prob of sequence aa.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1614 + -1720. Put 5, k, 1\/4 in increasing order.\nAnswer: k, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 5*l**2 - 2. Let a be j(-4). Suppose 21 = 3*r - 3*d, -d = -3*r - 5*d + a. Solve -r*f + 15 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = -p - 5, -j = 4*p. Sort -2, p, -3\/5 in decreasing order.\nAnswer: p, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(8\/120*-6)*4\/(-32).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + 10570\/18. Let l be (2 - 3)*(11 + -11). Suppose l = -4*u - g + 123. Round u to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020541568 to five dps.\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1391 + -1381. Let q = -1 + 1. Let y = q + 0. Solve m - 6 = -w, 3*w - 5*w + h = y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 28, 36, 42, 46, 48?\n\"Answer: -w**2 + 13*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2\/7, 0.012, -704?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -3*w**2\/2 - 6*w + 1. Let n be 2*(7\/2 - 2). Suppose -2 = -b - 2*x, -n*x + 21 = -3*b - 0*x. Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*y - 4 = 6, 12 = -4*h - 4*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 83. What is the hundreds digit of (174\/24)\/(2\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*(r**(-7)\/r)\/r))\/r**(-2\/3)*r**(-5)*r**(-1\/5))**15 assuming r is positive.\nAnswer: r**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269 + -129. Let p be (-9)\/6 - (-250)\/t. What is n in 30\/7*n**2 + 8\/7 - 2*n**3 + p*n**4 - 26\/7*n = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/27)*q*q)*q**(2\/25)\/q)\/(q**(-18\/5)\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(1009\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58239151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y - 48*y**2 + 56*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101141 divided by -34\nAnswer: -101141\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 298 = -s - 3*s + 2*q, -133 = -s - s - 3*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 724143482 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*h + 36. Let z be h\/(-45)*(-3 + 0). Suppose 5 - 1 = -4*n. What is the closest to n in -3, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -33*q**4\/2 + 40*q - 47. Find the first derivative of r(s) wrt s.\nAnswer: -198*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003583 to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3599, 3560, 3497, 3392, 3227, 2984, 2645, 2192?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-18)\/(-4))\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -w - 16*x + 417, -w + 423 = -3*x. What is the highest common factor of w and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.027 and -52360.259.\nAnswer: -52360.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Let p(z) = -z + 5. Let n be (60\/(-7))\/(-3) + (-27)\/(-189). Let d be p(n). Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8cb774 - -5?\nAnswer: -8cb76e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 - 21*r**2 + 45*r - 27 = 0. What is r?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 267.6 - 278.6. Which is the closest to o? (a) 3 (b) -1\/2 (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 13*m - 13*m + (-2*m + 2*m + m)*(3*m + 3*m - 5*m) + (3*m - 3*m + 2*m)*(-5*m + 4 - 4) + 3*m**2 + 0*m**2 - 2*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*b**4 + 114*b**2 + 54*b**2 + 75904*b - 75904*b + 2*b**5 wrt b?\nAnswer: 120*b**2 + 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006458 to 5 dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 1289868*n + 166343049.\nAnswer: 3*(n + 129)*(n + 429827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p + 92. Let q = 22 + -6. Calculate the remainder when p is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 m when four letters picked without replacement from {m: 2, r: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55649700 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a factor of 1462889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*l**2 - 36*l**2 - 102*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/45)*((k\/(k**(3\/4)*k))\/k)\/k)**(-4\/13) assuming k is positive.\nAnswer: k**(503\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 10 = 2*q, -5*h = -q - 23. Suppose 0 = -h*v + 6 + 110. Let c = v + 8. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34396 divided by 4\nAnswer: -8599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10152 divided by 3\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -967*g - 2924*g + 178986 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 560?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l. Let s be t(-2). Let g be 75\/65 + -2 + s\/(-13). Which is the closest to g? (a) -2\/11 (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -120, -265, -430, -621, -844, -1105, -1410?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 880607*c\/2 + 880606.\nAnswer: (c + 2)*(c + 1761212)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/((-6)\/(-342)). Let d be 3*(2232\/135 + 2\/(-10)). Let x = d - b. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 3. Let q be c(-8). Let i = 64 + -450\/7. Let f be (2\/20)\/((-1)\/(-2)). What is the second smallest value in i, q, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5 - 2*o**3 - 8*o**2 - 4*o**2 + 12*o**2. Let v be -3 - (36\/4)\/3. Let k(a) = 4*a**3 + 11. Calculate v*k(m) - 13*x(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h + 3*h + 292 + 36*h**2 + 223 + 77*h**2 - 85 wrt h?\nAnswer: 226*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 18 = -u. Suppose -b + 0*r + 4*r - 7084 = 0, 35512 = -5*b - u*r. What is b rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6128\/(-1149))\/(2\/2).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 189180806.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhwwhhh. Give prob of sequence jh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 + 570*g + 11325\/4.\nAnswer: 3*(g + 5)*(g + 755)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 7*i - 6. Let b be k(-8). Let m be (-16)\/b*(-80)\/8. Suppose 2*w + 3*w = m. Solve w = -5*l - 3*c, -l - c - 3 = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -129\/2. Let h(z) = -z - 1. Let m be h(0). Let l be 2\/((-28)\/(-6) + m). Which is the smallest value? (a) l (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970*r + 1926*r - 964*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.06358 rounded to two decimal places?\nAnswer: -6.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-6))\/(235\/(-75) - -3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36862 and 63192?\nAnswer: 442344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1244, 42, -0.07, -0.13?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 - 42 = -5*j, 4*h = -2*j + 40. Calculate the lowest common multiple of 7 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 11*p**3 + 2*p - 9*p**3 - 2 + 16*p**3 to the form s*p**3 + b*p**2 + l + t*p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -885*y**2 + 985*y. Let r(q) = -13*q**2 + q. Let p(v) = c(v) + 4*r(v). Find the second derivative of p(g) wrt g.\nAnswer: -1874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.2, 5, 0 in increasing order.\nAnswer: -15, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4 = -4*s + 32, s - i - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0618512 minus -2?\nAnswer: 1.9381488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2645057 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = -5*l + 27*t, 5*t = 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 - 174. What is the closest to 0.03 in 1, 2\/5, f, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3565 + 3562. Let r(l) be the third derivative of 0 + 1\/24*l**4 + 1\/60*l**5 - l**2 + 0*l - 1\/2*l**3. Determine r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**9\/75600 + 7*j**4\/12 - 5*j. Let y(q) be the third derivative of x(q). Factor y(c).\nAnswer: c**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2. Let g be 2 - -10 - (-4 + 5). Suppose g = 3*m + 5. Let r(n) = -10*n - 2*n**m + 10*n. Give r(w(h)).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5*s**2 + 2*s**2 + (-5 - 6*s + 5)*(-2 - 2 + 2)*(-3*s + s - 4*s) in the form j*s + w + i*s**2 and give i.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 3*q**6\/40 + 3*q**5\/20 - 5*q**4\/48 - q**3\/2 - q**2\/2 + q + 5. Let r(v) be the first derivative of g(v). Factor r(a).\nAnswer: (a - 1)*(a + 1)*(3*a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(1\/2)*u\/(u*(u\/u**(1\/4))\/u)*(u**(-2\/3))**(-46))\/(u**(-3\/8)\/u**(2\/7)*(u\/(u**(2\/3)*u))**(-8\/7)) assuming u is positive.\nAnswer: u**(5429\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + q - 5*q + 1, -5*q = -3*z - 11. Suppose -z*g = g + 16. Let p(t) = -7*t - 9. Let j(h) = -3*h - 4. Let k(r) = -5*j(r) + 2*p(r). Calculate k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/7 - 8*g**3\/7 - 18*g**2\/7 + 32*g\/7 + 40\/7 = 0. Calculate g.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 1 + 1 + (2 + 2*j - 2)*(3 + 1 + 0))*(1 - 3 + 1).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -161*x**3 - 16803*x + 182477407.\nAnswer: -483*x**2 - 16803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 2*o + 15*m, -2*o - 2837*m = -2841*m - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l + 173. Give r(-25).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*c**3 - 11*c - 8*c + 65*c**3 + 6*c.\nAnswer: -57*c**3 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 81, -0.242, -0.041, -5?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, 448, -3, 4 in descending order.\nAnswer: 448, 4, 0, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) 0 (b) 71 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 932145248 to the power of 1\/2, to the nearest integer?\nAnswer: 30531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*p + 6*p**2 - 2*p**2 + 2584*p + 951*p + 3*p**2.\nAnswer: 7*p**2 + 3249*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 2 - 0) + (73 - 29)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, 2430 in descending order.\nAnswer: 2430, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1380162 divided by 3\nAnswer: 460054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*t + 4*a = -16, -2*a - 14 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -67?\nAnswer: 53\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-6) + (-568)\/(-426). Solve 18*x = -5*b + 17*x, g = -2*b - 2*x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 + 1 = 0, 3*b + r - 12559 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 3*f - 1155. Let u be (-22)\/f + (-178)\/(-15). Suppose 10*y - u = 4*y. Solve -2*d = d + 4*s - 22, -y*d + 5*s = 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 10. Let a = 24 - c. Let u(n) = 3*n - 16. Let g be u(a). Solve -2 = f - 1, g*f = x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(3 + 1\/((-1)\/4)). Let d(q) = 6*q - z + 6*q - 7*q - 4*q - 4. Determine d(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000164856 to 6 dps.\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/29*(-6)\/(-165).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -155359 * -1566\nAnswer: 243292194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/30 - 45*f**4\/2 - 6075*f**3 - 820125*f**2 + 6*f - 41. Factor b(m).\nAnswer: -2*(m + 135)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10496604 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -67)*(-4 + (-14)\/(-4)). Let l be -4 + (-19)\/(-4) + k\/8. Suppose 2*w + 4*m - 72 = 0, -23 = -w - l*m + 13. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)*6 + sqrt(95))\/((sqrt(15) - sqrt(105)\/sqrt(7))\/sqrt(3) - sqrt(5)).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1929884 and 41\/18816369.\nAnswer: 75265476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3 + g + 1 + 2. Let d be q(-4). Let k = -211\/35 + 28\/5. Which is the third smallest value? (a) -3 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 8 = 0. Suppose -24 = -4*a + 4*j + p, -30 = -4*a + 2*j. Suppose -a*u = -11*u. Round u to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 42175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 + 196 = -2*q - 2*l, -20 = -5*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*l + 5*l + 1774*l**5 + 4*l**4 - 883*l**5 - 5*l**3 + 2 + 2*l**2 - 883*l**5 + 4*l wrt l.\nAnswer: 480*l**2 + 96*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 38*n**2 - 326*n - 37. Determine c(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -5. Let i(d) = -378*d. Let k be i(-1). What are the prime factors of u\/(-14) + k\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 10 = 5*b, -77*b - 26 = 13*n - 73*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4485010 - 3.\nAnswer: 4485007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*w = -2*s - 3*s + 92, 2*s - 3958 = -93*w - 154*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.374 - 8.174. Let t be 2*(18\/(-4) - -2). What is the closest to g in -1\/7, -0.2, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 7106034*u + 99484084.\nAnswer: 2*(u - 3553003)*(u - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -637*z + 642*z + 3*n, 0 = -3*z - 5*n - 42 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82802, -165745, -248968, -332609, -416806?\nAnswer: -501697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*l - 2 = -1 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1593 - -1596. Let j(x) = x - 12. What is j(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 7) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-546)*238*(-5)\/25*(-1)\/1?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Suppose -a*m - 15 = 3*h - m, -2*h + 4*m + 8 = 0. Let f(w) = 2*w**3 + 2*w**2 - w + 2. Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 + 301. Sort -94, 1, j in increasing order.\nAnswer: -94, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 8*b**2 - 10*b + 16. Let h(i) = 2*i**3 - 16*i**2 + 20*i - 32. Let v(p) = 2*h(p) + 5*q(p). Determine v(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 636984 and 2268?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4 (b) -1\/6 (c) -1.01 (d) 3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 - 771*j + 1119. Give l(127).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*(486\/45)\/(6\/(-8)) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-4)\/16)\/1. Is i at most as big as -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56121.76 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44869135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 262539 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-4)\/2)\/2. Let o be (3 - 4 - -1)\/l. Suppose -s = -o*s - 16. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.89, -90, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 8:30 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304*u**2 + 1178*u**3 - 18*u**2 - 1330*u**3 wrt u?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.791 less than -3395?\nAnswer: -3394.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8111.224mg to tonnes.\nAnswer: 0.000008111224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 12 - 15) + -5 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23860153211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -k - 4, 4*p - 15 = -p. Let n be 1\/((-1)\/(-4)) - k. What is the units digit of (-8 + 6)\/(n\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(6*q**2 - 3*q**2 - 2*q**2)*(-2*q + 2*q - 2*q**2)*(-100 - 132 + 67).\nAnswer: 990*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -264, -253, -228, -183, -112, -9?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63637230 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24581860, -24581865, -24581874, -24581887, -24581904, -24581925?\nAnswer: -24581950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4212155 divided by 5.\nAnswer: 842431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644024 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 106404092?\nAnswer: -106404093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**3 - a**2 - 1. Give w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8419237.999 to the nearest 10000.\nAnswer: -8420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3 - 910*t**2 + 118976*t - 3374592 = 0.\nAnswer: 39, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 96 = -146 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3388 = -342*z + 100*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 5*u = 6*q - 12, 4*q - 5*u - 36 = 0. Suppose 12*z + p - 2407995 = 8*z, -2408005 = -q*z + p. Round z to the nearest ten thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/27960131 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.5 - -5. Let q = -1355\/4 + 339. What is the third smallest value in -1, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 39. Let o be g(-18). Suppose -28 = 77*n - o*n. Is n != -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4908 - 4908. Solve 10*x + 1 + 9 = y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from ifggt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 12*j**2 + 204*j - 2262. Determine f(16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -32*j**2 - 5*j + 483. Let r(k) = 8*k**2 + k - 123. What is 9*r(y) + 2*v(y)?\nAnswer: 8*y**2 - y - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/9 in 5, 68\/11, 0.22, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7222200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + p - 193*p**3 - 127*p**3 - 3*p + 9*p**2 - 11*p**2 - 176*p**3 as h*p**4 + t*p**2 + w*p**3 + f*p + n and give w.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 67 = -7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86490 * 13.1.\nAnswer: 1133019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -86, 0.1, -0.07, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 47*b - 139. What is w(-43)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(110))\/(sqrt(490)*5 + sqrt(490) - sqrt(10)).\nAnswer: -16*sqrt(11)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + k**3)*(-21 - 51 - 45 - 117).\nAnswer: -234*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-55) + (-230)\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29869 divided by -8?\nAnswer: -29869\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2861329 - 1511642. Let u = 1349687.04399986 - n. Let i = 0.044 - u. Round i to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 - 1088*w**2 - 14482*w = 0.\nAnswer: -13, 0, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1033*d**4 + 8*d**2 - 27?\nAnswer: 24792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.09, -0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 10176627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*n - 5*n, 4*n = h + 15. What is the least common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 3. Give y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42745, 42742, 42739, 42736, 42733?\nAnswer: 42730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -312*s - 2. Let m(x) = -2*x**2. Give m(b(o)).\nAnswer: -194688*o**2 - 2496*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/43555 and -43\/11.\nAnswer: 479105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:50 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2641920970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjblbjfbjflbblbbbjbb. Give prob of picking 1 b and 3 j.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -75, 1, 0, -3, -0.044?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -707 - -397. Let h = -311.83 - d. Let v = h + -0.17. Which is the biggest value? (a) v (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let i be u(8). Let k be (i\/6)\/(2\/6). Let h = 10 + k. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 times -0.045?\nAnswer: 9.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -30207500 to the nearest 100000.\nAnswer: -30200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o - 4*y - 39, -o + 159 - 149 = 3*o - 0*o - 2*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1550681*l**2 + 581693 wrt l?\nAnswer: -3101362*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1\/(-3) + 0). Let u(t) = -8*t**2 - 8*t + 5. Let k(l) be the first derivative of 1\/3*l**3 + 1\/2*l**2 - l + 4. Calculate j*u(p) + 6*k(p).\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 1, x: 1, d: 1}. What is prob of picking 1 d, 1 x, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*r - 2*r, 4*d - 24 = -4*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 209*t - 134. What are the prime factors of g(6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p + 66*p - 3*p = 5513 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 29*v**4\/12 + v. Let g(u) = -9*u**2 - 4. Let o(f) = -11*f**2 - 5. Let z(p) = 5*g(p) - 4*o(p). Determine z(y(t)).\nAnswer: -841*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 42*(-33)\/18?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-25)\/(-20))*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from jssjsssjsssjjsssjjs.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 4*a + 0*a + 10. Let o be h(-7). Let q = 106 - 76. What is the greatest common divisor of q and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z + 9*z + 1 - 1 - 14*z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 2. Let u be w(0). Suppose -6 - 14 = -4*r. Suppose -r*y = 16 - 106. What is the greatest common factor of u and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(5) + sqrt(80) + sqrt(5)) + sqrt(21))\/(sqrt(96)\/sqrt(2)).\nAnswer: 7*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6 - (-61)\/(-10))\/(140\/(-350)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let v be s(3). Suppose -2*t + 10 = 5*n, 0*n - v*n - 3*t + 6 = 0. Suppose -5*d + n*d + 13 = 5*l, 5 = 5*d. Solve 5 = l*w + 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128408513 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.862364 grams?\nAnswer: 5862364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, 0.2, 2988, 0.5.\nAnswer: -9\/5, 0.2, 0.5, 2988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 8*q + 102. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17534270 + 3?\nAnswer: -17534266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) + 1 + 4)**2 - sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(13) + 1)**2*-3)).\nAnswer: -80 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18246064 by -4561516.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q*q\/(q*q**(-2\/21)\/q*q*q)*q)**45 assuming q is positive.\nAnswer: q**(2865\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 1. Let r(c) = 11*c + 4. Calculate -r(l) + 5*x(l).\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 - (2 + 0)). Suppose -n = 2*g - 53 + 16, 28 = s*g - 4*n. Let b(o) = -o - 5. Calculate the remainder when g is divided by b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1069 - -808.1069. Let j = k + -810. Let p = -4 - 0. Which is the closest to j? (a) -0.5 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 6442*y**2 - 6442*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2143 is divided by 999.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 7*p**2 - 10*p + 9. Give l(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 + 10*d**3 - 215*d**2 + 260*d + 480 = 0. What is d?\nAnswer: -8, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f + 1845 - 2055 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5)\/10 - 21\/42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9469874 divided by -5\nAnswer: 9469874\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) + 414\/99. Let i(t) be the first derivative of 2*t + 0*t**3 + 3\/2*t**2 - 1\/4*t**w - 3. Solve i(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - 4*t**2 + 142*t + 990. Determine n(-8).\nAnswer: 2670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(11 + 29))\/(-8). Solve -l - 6*k - 8 = -4*k, 3*k + 19 = -q*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/20 - 11*p**4\/24 + 3990*p**2. Let i(s) = 52*s**2 + 59*s**2 - 113*s**2. Calculate i(h(a)).\nAnswer: -18*a**4 + 132*a**3 - 242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44167909?\nAnswer: 311, 142019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 1. Let b be a(-2). Let q be (-12)\/6 + (14 - b). Suppose 0 = i + 2*r - 0 - q, -73 = -4*i - r. Calculate the greatest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**2*p**3*z**2 + 4*n**2*p**3*z - 1738*n**2*p**2*z**2 + 66*n**2*p**2 - n**2 - 2*p wrt z.\nAnswer: -8*n**2*p**3 - 3476*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*m**3*n**5 + 733*m**3 + 238*m**2*n**5 - 3*m*n wrt n.\nAnswer: 480*m**3*n**3 + 4760*m**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -62270.413?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28843015 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1057 and 43\/755.\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = 0, 2*m + 10 = 4*j - m. Let s = -119 + 120. Solve s + 7 = j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1, -461, 2.\nAnswer: -461, -22, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(1 - 6\/4). Suppose d*s - s = -6. Suppose 3*z - 21 = 3*q, -2*q + s*q = -2*z + 8. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(24)\/sqrt(2))\/sqrt(4) + (-1 + sqrt(15)\/sqrt(5) - sqrt(3)))**2 + 0 - ((-5*sqrt(30))\/sqrt(10) - (4 + (-4 + sqrt(3))**2))).\nAnswer: -5*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -7*j**5\/30 - 52*j**2 - 8. Let o(l) = 34*l**2. Determine o(g(p)).\nAnswer: 6664*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Let u = 6.9 - -1.1. Let y = -7 + u. What is the nearest to y in -1\/5, a, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.54 + -2.54. Which is the nearest to 3\/5? (a) y (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -b75a?\nAnswer: b747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274.000001369 - -274. What is j rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 40*u + 78.\nAnswer: (u + 2)*(u + 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 75. Let b(v) = 3*v**2 - 4*v + 5. Let i be b(y). Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/9, 0.01, -2\/5, 0, 90, 2 in decreasing order.\nAnswer: 90, 2, 4\/9, 0.01, 0, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 626*r**3 + 579*r**2 wrt r.\nAnswer: 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 6*d - 1. Let n be a(-5). Suppose -3*g + 5*r - 3251 - 2735 = 0, -7993 = 4*g + 5*r. Is 9\/(-36) - g\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 107*u - 100*u. Let x be u\/(-35) + 1\/((-740)\/(-268)). Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -0*h + 5*h + 2*x, 2*h - 12 = -3*x. Let k(b) = b**3 + 3*b - 6*b**2 + 0*b**3 - h - 2*b**3. Is k(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h + 5*v = -1730, 2*h - 650 = -5*v. What is the greatest common divisor of 4505 and h?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 26\/(-325) - (-302)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3824925 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -55125334 to the nearest one hundred thousand.\nAnswer: -55100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(684) - sqrt(684)*1*-6 - sqrt(684))**2 - (-3 + sqrt(684)*-1 - sqrt(684))**2) + -5).\nAnswer: -360*sqrt(19) + 109370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 9*f - 28. Let q = -54 + 138. Let g = -70 + q. Let b be z(g). Calculate the highest common divisor of b and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39604070 divided by 5?\nAnswer: 7920814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4846, -4850, -4854, -4858, -4862, -4866?\nAnswer: -4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 v when four letters picked without replacement from {v: 4, g: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14533124629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 + 6*a - 26. Let z(p) = 2*p**2 + p - 5. Suppose 5*m - t - 96 = -16, -5*m + 5*t = -80. Determine m*z(g) - 3*v(g).\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(200))**2 + 2*(sqrt(200) + -1) + (sqrt(200)*2*-1 + (sqrt(200) - (sqrt(200) + sqrt(200)*3))*-1)**2.\nAnswer: 20*sqrt(2) + 5198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 48*y = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 190388*o**3 + 190387*o**3 + o**5 - 47 + 4*o - 4*o + 2*o**5 + (-4 + 2 + 4)*(o**5 + 4*o**4 - 4*o**4) - o**5 - o**3 + o**3.\nAnswer: 4*o**5 - o**3 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4372, 2566, -2312, -11798, -27428, -50738, -83264, -126542?\n\"Answer: -256*l**3 - 14*l + 4642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 14*m**3 + 14*m**3.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -52. Let d(c) = -6155*c + 15. Let o be d(w). Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 + 4 = -3*v, 5*n + 24 = v. Does 8 divide ((-18)\/27)\/(v\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2858 - 2982.1. Let h = 124 + y. Which is the closest to h? (a) 0 (b) 0.17 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from idiidgiddkkddigkgdi.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**3 + 2*n**2 + 9*n - 6. Let q be x(3). Let a be 368 + 9\/(18\/8). Let l = a + q. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*q + 306*q + 75252 + 9510 for q.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -14. Let b = p - -8. Is 15\/10 + (-566)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 523 - 27.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 17 + 0 - (1 + -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6 - 0. Let z(j) = -j. Let p be z(f). Solve 0*x - x = p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66278, -133401, -200524?\nAnswer: -267647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17756*x**5 - 1187*x**4 - 9844*x**2 + 1781 wrt x?\nAnswer: -1065360*x**2 - 28488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/60 - o**4\/24 - 47*o**2. Let m(f) = -2*f. What is m(n(b))?\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54301176 to the nearest integer?\nAnswer: 7369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117328, 235249, 353170, 471091, 589012?\nAnswer: 706933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(-65)\/(-91)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-18)*-13*4\/(-572).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83159934.6000014 + 83159944. Let x = 9.4 - y. What is x rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-35) + 169\/65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*c - 88 - 240, 82 = c - 4*r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*1*sqrt(162) - (-1*(1 + sqrt(162) + sqrt(162) + sqrt(162)) - sqrt(162)) - (1 + 0 + sqrt(72) + sqrt(72) - (sqrt(72) + 0)*6))*6)**2.\nAnswer: 438052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16961 or -32\/3?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 15 = -2*b. Suppose -z - 3*z = -8. Let v(k) = -6 - 6*k**3 + 5*k**2 + 6*k + k**z + 2*k**3. Let p(l) = l**3 - l**2 - l + 1. Give b*v(s) + 6*p(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6728412 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 18 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 14 = 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 540975105 and 3.\nAnswer: 540975108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64594704 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(2 + (-5*(sqrt(175) - (sqrt(175) - (sqrt(175) + -1 + sqrt(175)))) - (-4 + -2*sqrt(175)))*4))**2*-4.\nAnswer: -6507844 + 456960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 917, 893, 855, 803, 737, 657?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -16*l**3\/3 + l**2\/2 + 2*l - 6. Let m be w(-1). Let g be 138\/4*(-10)\/m. Calculate the highest common divisor of 161 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634 or -636?\nAnswer: -636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/3, 7, 2, -4, 1\/16 in ascending order.\nAnswer: -14, -4, 1\/16, 2\/3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 10. Let v(o) = -o**3 + 4*o**2 - o. Let r be v(4). Let b be a(r). Suppose 2*u + l - 9 = 0, 0 = 5*u - 0*u - 2*l - b. Solve 5*z - u = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 2466 (c) 3 (d) -11 (e) -0.5 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 323 + -323. Suppose r = -3*f - h + 7686, -5*f + 2*h + 17273 = 4452. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, 492, 2873, 7570, 15369, 27056, 43417?\nAnswer: 65238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/3)\/4*6. Let b be ((-2)\/6)\/((-6)\/y). What is the third biggest value in 2, b, 1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 - 5*v**2 + 137*v - 8. Let y(g) = 26*g**3 - 25*g**2 + 683*g - 44. Determine -11*r(m) + 2*y(m).\nAnswer: -3*m**3 + 5*m**2 - 141*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 566897 less than or equal to 566902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14341*o + 258141. What is d(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxl when four letters picked without replacement from {t: 4, x: 7, l: 2}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46969984*b**3 + b**2 + 241*b + 1583 wrt b.\nAnswer: 281819904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101100101 (base 2) in base 14?\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 23. Let a be z(11). Suppose 4*v = -c - a, -23 + 3 = 4*v. Suppose -c*d + 6*d + 390 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2662 divided by 11.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 10*n**2 + 12*n + 16. What is the tens digit of f(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g + 60*g + 855 = 0. Let f = -85 + g. Solve 0*t = 2*t + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2123 + -4?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3)*c)\/c*c**13\/c*c*c)**(2\/3) assuming c is positive.\nAnswer: c**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34051 - 6?\nAnswer: -34057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6436034 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0*h + 6*h - 6*h - 8*h + 62. Calculate the smallest common multiple of 40 and m(-6).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1832876685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -85. Calculate the remainder when 34 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -117 in decreasing order.\nAnswer: -1, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 1, z: 1, t: 1}. Give prob of sequence rw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -868, -3539, -8000, -14251, -22292, -32123?\n\"Answer: -895*n**2 + 14*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -14*x + 12*x + 3, 0 = 4*x - 4*c. Suppose x*d + d = -z + 244, -4*d = -5*z + 1340. Calculate the greatest common divisor of 72 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 15, -4*q + 0*q = s + 6. Suppose -s*z + 388 = -2426. What are the prime factors of z?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316792293 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0 + 7 + 0 + 37*l as v*l + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.04, 0.4, 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 186, 161, 116, 45, -58?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 9) in base 2?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-14))\/(6\/(-7)))\/(17\/(-476)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 940*q + 488*q + 526*q - 5*q**3.\nAnswer: q**3 + 74*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31350 divided by 172\nAnswer: 15675\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:48 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -327. Let i = 232 + r. Solve -5*d - i = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**3 + 2*v**2 + 17*v + 54. Let x be b(-3). Solve 0 = x*h - 178*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1.2. Let w = r + -2. Let q be 190\/(-35) + 2*10\/4. Put w, 1, q in decreasing order.\nAnswer: 1, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjjj when four letters picked without replacement from {j: 4, f: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534 + 953 = 711*h - 7149 - 5097 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**2 - 634*d + 634*d + 3. Let z(r) be the first derivative of -19*r**3\/3 - 10. Determine z(o(q)).\nAnswer: -304*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -9*y + 42. Let g be 4 + -3 + -7*1. Let o = 11 + g. Is y at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 17*g**3 - 302*g**2 + 0 - 9 + g + 299*g**2 to q*g + a + p*g**3 + v*g**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5.2 (b) -4\/33 (c) 0.02 (d) 1\/3 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33*(-32)\/(-8)*(-3)\/144*-4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 96. What is the units digit of 684 - r\/(-3 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102723*6.\nAnswer: 616338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 + 2*l + 62. Let p(q) = -11*q**2 + 82 + 10 + 95 + 6*q. Let r(s) = 17*f(s) - 6*p(s). Differentiate r(k) wrt k.\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6193 - 6134. What is the remainder when 943 is divided by o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 339 - 399. Does 7 divide ((-608)\/(-190))\/((-1)\/c - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 0.769.\nAnswer: -21.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m + 17 - 726*m**2 + 685*m**2 + m wrt m?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 200450, 400984, 601518, 802052?\n\"Answer: 200534*v - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 76*t**2 + 67*t + 770. What is d(77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 45295000 to the nearest one hundred thousand.\nAnswer: 45300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2 and 97\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 84 = -8*j + 4*j, 19*j - 16*s = 22*j + 32 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 93645864.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-33 - -20) + -10 + (-39 - -1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308854 (base 10) to base 6.\nAnswer: 10341514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0*f = 4*f - 31, -2*s - 2*f + 14 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/5 - 4*k**3\/5 - k**2 - 2*k\/5.\nAnswer: -k*(k + 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + u = 15, 20*u = 3*x + 23*u + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 115\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7509474 and 702.\nAnswer: 292869486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104251.8 centimeters to nanometers.\nAnswer: 1042518000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5 - 128*v**4 - 2371*v**3 - 4112*v**2 + 2372*v + 4240 = 0.\nAnswer: -106, -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62735364.\nAnswer: 2, 3, 211, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/17 (b) 0 (c) 0.4 (d) -22\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/2*7\/14. Let w(i) = -7*i**3 - 6*i**2 + 6*i - 6. Let l(m) = -20*m**3 - 17*m**2 + 17*m - 17. Calculate c*l(f) + 17*w(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -6, -1, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 145\/29 - 13189\/2640. Let d(s) be the third derivative of 0 + 6*s + 5\/96*s**4 - s**2 - 1\/6*s**3 - x*s**5. Find l, given that d(l) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 238599047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c - 26*c**2 + c - 6*c + 15*c**2 - 14*c - 4*c + 42*c.\nAnswer: -11*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7471159, 14942260, 22413361, 29884462?\nAnswer: 37355563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 572694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 9. Let x be a(-8). Suppose 2*d - 3 - x = 0. Suppose d = z + 4*b, -3*z + 5*b - 25 = 2*z. Let q(p) = -p**2 - 3*p - 4. Determine q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -881886.648 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from peppepe.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -969*t - 7. Let j be f(-1). Suppose 2*x = -4*k + 8*k - j, -4*k + 4*x + 968 = 0. What are the prime factors of k?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1254 and -173\/924?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 + 63 - 63 + 6*m**3 in the form v*m**2 + h*m + u + w*m**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 6*i - 1. Let l be m(6). Find the common denominator of 49\/(-20) - (-2)\/l and (-4347)\/69*(-2)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -2, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 53 - 6 = -8*w + s, -3*s + 0*s - 54 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/14 + (-18)\/(-42). Suppose l - 5 = -j. Suppose v + 76 = l*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = -4*l - l, 4*l - 1 = -5*y. Let x(j) be the first derivative of -3*j - 1\/2*j**2 + y. Find the first derivative of x(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 18 (c) -14648 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10159837 is divided by 236.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 811400 divided by -20285\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.13288 millimeters in nanometers?\nAnswer: 23132880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-6)*(-18)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/210*10\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -5)*(-3)\/(-6). Let l(c) = -2*c**3 + 8*c**2 + 8. Let a(o) = -o**3 + 3*o**2 + 3. Let b(m) = 3*m**2 - m - 2. Let z be b(2). What is i*l(t) + z*a(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16*u + 5. Let o(b) = 16*b + 5. Let f(t) = 4*o(t) - 5*p(t). Let m be f(-7). What is m rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*v = 4253 + 48 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74251018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 4. Suppose 0 = -x - 3*o - 11, 2*x = -12*o + 13*o + 6. Let f(m) = -5*m**3 - 3*m**2 + 1. Let l be f(x). Calculate t(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 5 = -10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 10669.4?\nAnswer: 53347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, u: 8, p: 1, g: 1}. What is prob of picking 3 u?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 5. Let j be p(-3). Suppose -j + 0 = d. Let h be (-4)\/((-3)\/((-6)\/d)). Solve 4*l - 24 = -h*m - 0*l, -4*l + 14 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61643 + -431503\/7. Suppose 0 = 3*m - 0 - 6. Suppose -3*f - 2 = m*j, 0 = 5*j + 29 - 9. Sort -3, a, 1, f in increasing order.\nAnswer: -3, a, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6603553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -796 - -796.813. What is x rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*34\/1428)\/((-3)\/((-105)\/2))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-6)\/(sqrt(4) + sqrt(484) + (sqrt(484)*1 - sqrt(484))) + (2 + sqrt(637) + -3)*-2)**2.\nAnswer: -62*sqrt(13) + 12509\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r + r + (r + 3*r - 2*r)*(-1 + 1 - 1) + r + 4*r - 2*r)*(-r + 2*r**2 + r) + r**3 - r**3 + r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12*(-78)\/(65\/5)*(-200)\/(-16)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*h - 22, -5*h = -2*d + 3 + 24. Let c = 6 + d. Calculate the remainder when (-10)\/4*(-11 - -3) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.37 + 0.13. Let c = k + -0.3. Let n = -2.167 + c. Round n to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17\/5*i + 42\/5 + 1\/5*i**2 = 0. What is i?\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/180 + b**5\/10 - 5*b**4\/12 - 17*b**3\/6 + 11*b. Let c(m) be the second derivative of k(m). Find y such that c(y) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1004 (base 8) to base 11\nAnswer: 42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 72. Calculate v(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 688*n. Let h(k) = -36342*k. Calculate s(h(v)).\nAnswer: 1320740964*v**2 - 25003296*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2754) + (sqrt(2754) - sqrt(2754)*2))*-5)\/(sqrt(22)\/(-3*sqrt(396))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 848.7.\nAnswer: -4243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82924609?\nAnswer: 149, 173, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3*t + 61, 6*j - 3*t - 211 + 265 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d8352 (base 14) in base 6?\nAnswer: 212204152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 296*s + 7254. Calculate x(-23).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**6\/2 + 6*j**5\/5 + 3*j**4\/4 - 2*j**3 - 2. Let l(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let u(p) = 12*p - 1. Give q(u(z)).\nAnswer: 24*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 701.\nAnswer: -47\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1299041 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.2 - 59.2. What is the nearest to 2 in -0.07, -6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9417 bigger than 9400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.09 + 0.09. Let m = h - -52.9999922. Round m to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 378.5877cm?\nAnswer: 3.785877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/648 and -173\/1402758?\nAnswer: 5611032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2543 + -2?\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 3*r + 20. Let b be x(-6). Suppose 0 = -s - b*s + 405. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + a + 8. Determine y(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 53344481 divided by -1\nAnswer: -53344481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 8*f**2 + f + 1705. Let s be g(0). Find the common denominator of 85\/24 and ((-62)\/32)\/((s\/(-44))\/(-31)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.287, -3, -6?\nAnswer: -0.287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4502236880?\nAnswer: 2, 5, 317, 177533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 - 3*n + 4*n**4 - 25*n - 71*n**2 + 35*n**2 + 28*n**3.\nAnswer: 4*(n - 1)**2*(n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a704 (base 11) in base 3?\nAnswer: 2012121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20069233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c + 1. Suppose 0 = -3*x + 7*x. Let u be f(x). Is 37\/(1\/(2\/u)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 38682270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**4\/2 - 17*v**3\/3 - 23*v**2\/2 + 6*v + 7. Let r(y) = 2*y**3 + 6*y**2 + 8*y - 2. Give -6*q(f) - 17*r(f).\nAnswer: 2*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*v = 362691, 12*v - 32 = 16*v. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9310)\/(-980) - (2 - 2*10\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005299 to 7 decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 - 68 = 10*i. Is 52 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*n = 9*n + 20, -4*n + 36 = 4*j. Calculate the remainder when 109 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454485 is divided by 1943.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11369\/36 + 2816\/9. Let r = -2\/207 + 4379\/3312. What is the common denominator of r and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26b5 (base 12) in base 5?\nAnswer: 120312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*u = 3, 13*y + u - 7 = 9*y. Find the third derivative of 21*p + 14*p**2 - 4*p**4 - 21*p + y*p**4 + 106*p**2 + 65*p**5 wrt p.\nAnswer: 3900*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98993861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/w*w*w**(-1\/10) assuming w is positive.\nAnswer: w**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/20)\/(2\/10). Suppose -9*v - h = -13*v. Let l(g) = -g - 1. Let f(c) = 2*c + 7. Calculate v*f(p) + 5*l(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3658*o + 417009. Determine s(-114).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 729 + -740. Let p(g) = 13 + 1 + 6 - 4*g. Does 8 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 261*y**2 - 2544*y - 1812.\nAnswer: 3*(3*y + 2)*(29*y - 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436967716 to the power of 1\/3, to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 388?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1664 by -88.\nAnswer: -208\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b**4 + 2*b**4 + 0*b**4)*(-1 + 2 - 3) - 2*b + 2*b + 2*b**4)*(12 + 97 + 465).\nAnswer: -1148*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(1 - 5 + 7)*(-2*z - 4*z + 5*z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose -b + m = -0. Let t = 8 - b. What is the greatest common divisor of 25 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 49*i**2 - 35*i - 12522. Give s(54).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 10*c + 21. Let i be s(-9). Solve i = -3*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4894? (a) 10 (b) -5 (c) 0 (d) 2\/11 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 5, n: 9}. What is prob of picking 1 r, 1 n, and 2 p?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66601\/14 + -4760. What is the common denominator of m and -11\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o)*(6 - 4 + 0) + (-2 + 4 - 4)*(388 + 87*o - 388) + (-4*o + 4*o + o)*(5 + 0 - 4).\nAnswer: -177*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797764 to the power of 1\/2, to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185 or 522?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(1573) - 1*(sqrt(1573) + -2*sqrt(1573)))**2.\nAnswer: 44*sqrt(13) + 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 50513*x**2 - 5*x + 8. Suppose -6 = o + 4. Let a be j(o). Let q = -1051358 + a. What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22402526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -9. Let c = 26.69 + -27. Let b = -2.31 - c. Is b equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.8 (b) -6\/11 (c) 1313.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4545*i**2 - 29724 with respect to i.\nAnswer: -9090*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -7. Let g(f) be the third derivative of -f**5\/60 - f**4\/3 + 4*f**3\/3 - 3*f**2. What are the prime factors of g(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 32 = 17. Sort -1, d, 1 in descending order.\nAnswer: 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -601.05, -1\/19, -4 in ascending order.\nAnswer: -601.05, -4, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z**2 - 2*z - 1. Let b be r(-2). Let w be b\/(-3) - 7\/(-21). Let g be 40\/w + 4\/(-18). Solve -g*a - 2*a = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112221010001 - -133?\nAnswer: 112221010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -940530 divided by 214?\nAnswer: -4395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.5296 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443505321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 + 9*h + 4. Let p be l(5). Let d be (-1 + p - -1) + 13. Let a = 7 + -5. Solve -3*u - a = 3*c - c, 3*c - d = 3*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + -1)\/(-390) - (-5)\/50. Which is the closest to w? (a) -5 (b) -7 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((0 - -1)*1). Suppose k = 4*n + s - 5, -n - n + 3 = s. Let d be 0 - (6\/4 - n). Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2323432 and 2323432 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10dc87 (base 16) in base 12?\nAnswer: -45359b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -8 + 23 + (-86)\/(-90).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (392*i**2 - 2*i - i + 50*i**2 + 138*i**2 + 3*i)*(9*i**2 + 5*i**2 + 86*i**2) as q + u*i**2 + p*i + o*i**4 + d*i**3 and give o.\nAnswer: 58000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 216. Let x(m) = -m + 1. What is d(t) - 5*x(t)?\nAnswer: 2*t + 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 26 - 27 + 2*c - 16. Let h = -34 - -13. Let i be b(h). Solve 0 = 4*d + i*m + 13 + 3, 4*d - 8 = 4*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(-4)*(-19)\/95. Suppose 0 = 8*m - 18 - 6. Which is the nearest to m? (a) -1 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 2*o**9\/945 - o**8\/420 + o**7\/1260 - o**4\/12 + 4*o**2. Let g(i) be the second derivative of y(i). Find v such that g(v) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*x**5 - 1485*x**4 - 13115*x**3 - 35910*x**2 - 31400*x = 0. Calculate x.\nAnswer: -4, -5\/2, -2, 0, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 2:45 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -3*q, -2*u = -6*u + 2*q - 14. What is the remainder when 61 is divided by ((-8)\/(-6))\/(u\/(-60))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50017*o*p**6 + 19*o*p**2 + 2*p**4 + 2450*p wrt p.\nAnswer: -6002040*o*p**3 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 229, 440, 655, 874?\n\"Answer: 2*i**2 + 205*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 3. Let b be q(5). Suppose 2 - 47 = -11*h + 2*h. Solve 13 = h*l - b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41556, -83044, -124536, -166032, -207532, -249036?\n\"Answer: -2*g**2 - 41482*g - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -425075, -424252, -422881, -420962, -418495, -415480?\n\"Answer: 274*q**2 + q - 425350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331033 - -1032?\nAnswer: 332120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m = -28*m - 24. Suppose 1\/3*i**3 + 4*i - 2*i**m - 8\/3 = 0. Calculate i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*d + 2999, -2*k + 1 = -9. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 2*r + 174. Give f(0).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = 5*k, 4*k + 3*w + 2 = -2. Suppose -4*u + k*u = 0. Suppose u = -2*o - 10 - 0. Let m(b) = 2*b + 6. Calculate m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159 and 202.\nAnswer: 32118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -768 - -764. What is the closest to 1\/2 in 5\/3, s, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**4 - 21*d**3 + 39*d**2 - 23*d - 3. Let o(n) = n**4 - 2*n**2 - 1. Let g(f) = 2*a(f) - 6*o(f). Factor g(z).\nAnswer: -2*z*(z - 1)**2*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - (-2 + 2)) + -2. Suppose 0 = 5*t - 20, 4*t - 55 + 21 = -3*o. Let m = w - o. Solve m*v - 9 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 20. Let m be k(-9). Let p = m + -8. Suppose 0 = -u - 3, 9 = 3*o + 2*u + 30. Sort p, 13, o in increasing order.\nAnswer: o, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 10) to base 3.\nAnswer: -12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 minus -156?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from {e: 4, k: 2, x: 5, o: 4, g: 1, s: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -0.599?\nAnswer: 5.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6 - 4 - 5 + 4*d - 12. Let m be s(8). Solve 5*p = 2*x + m, x = -3*p + 3*x + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -515*m + 521*m. Which is the closest to 18? (a) -0.3 (b) m (c) 2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 divided by -18?\nAnswer: 127\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, 8 in decreasing order.\nAnswer: 8, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 75*x**4 + 3*x + 349*x**3 - 103*x**4 + 13*x**4 + 16*x**4 + 1 as j + u*x**4 + z*x**3 + s*x**2 + d*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5655 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 50*x - 132 = 0.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 - 28*p**2 - 19*p - 43. What are the prime factors of y(14)?\nAnswer: 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -3 + (10 + -27 - -3 - -16 - 13).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31505.\nAnswer: 5, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12357973.\nAnswer: 29, 239, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-3)\/c)*c*c)\/c)**42 assuming c is positive.\nAnswer: c**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y. Suppose 137 = 2*x - y*x + 5*i, -2*i = -2*x + 158. Suppose 5*q = 3*q + x. What is the highest common factor of 304 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -k - 8, 7*k - c + 8 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -10. Let m = j + -15.09. Let x = m - 0.65. What is x rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1058 + 1279. Suppose 0 = 5*s + 3*z + 3183, x = -3*s + 3*z + 432. Let l be ((-40)\/12)\/(2\/s). Round l to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/2)\/(10\/15). Let t = -5 - l. Suppose 0*h - 60 = -6*h. What is the remainder when h is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 4 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*a - 14. Let c = -3 - a. Let u be -4*c\/(-2) + 0. Solve j = -u*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -3*r. Let n be -1 - r\/(-2) - 2. Let d = -5 - -5.4. What is the closest to 1 in n, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3 - 15*v**2 - 252*v = 0. Calculate v.\nAnswer: -7, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 15*i + 24 - 29.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 3*t**7\/280 + 7*t**4\/8 - t**3\/2 + 25*t. Let u(g) be the second derivative of x(g). Differentiate u(o) with respect to o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 + o + 5. Let p be v(-4). Let g be (4 - 5) + 4\/p. What are the prime factors of -4*(g\/(-2))\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:32 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 1.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*z - 2 = -8, -5*z - 48 = 4*c. Let v(h) be the first derivative of 5*h**3\/3 + 2*h**2 - 9. Let w(t) = 9*t**2 + 7*t. Calculate c*v(d) + 4*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 b when four letters picked without replacement from {b: 2, x: 3, n: 2, j: 11, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 20*m**2 - 18*m + 15. Let b be y(-19). Let o be (-6)\/b*(-8)\/(-4) + 0. Suppose -2*g + 87 = -o. Calculate the highest common factor of g and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -1031*v + 1028*v - 3*x, -32 = 2*v - 6*x. Let m be (-4)\/(-1) + -1 - 1. Let o = m + 2. Solve -w - o*s + 16 = 0, 3 = -5*w + v*s - 42 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 12*h - 4. Let s be o(-6). Suppose 4 = -7*i + 3*i. Sort -2, 4, i, s.\nAnswer: s, -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + -3.471. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/1018 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(-10*x - 2*x + 5*x) - x - 3 + 3 + (-1 + 0 - 1)*(2*x - 3*x - x) - x - 4*x + 3*x - x - 5*x + 4*x to t*x + b and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*sqrt(39))\/sqrt(3))**2.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 919980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vooroooqq. Give prob of sequence qoq.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098*v**3 + 95*v**2 - 1097*v**3 - 175 - 95*v**2.\nAnswer: v**3 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4526 and 2628.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -36323*q - 1138. Is v(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0388165l in millilitres?\nAnswer: 38.8165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b**2 - 7. Let i(t) = -62*t**2 - t - 34. Let w(x) = 2*i(x) - 11*k(x). Let l(n) = n**2. What is 2*l(u) + w(u)?\nAnswer: -u**2 - 2*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2*3\/24). Suppose 31 = j*m - 5*f, -5*m = 3*f - 10 - 1. Suppose 0 = -4*x + 68 + m. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 17*o - 49. Let b(h) = -9*h. Give b(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/90 and 7\/8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*(-4 - (-4 + -21)*1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108210*b**3*g**3 + 185*b**3 - 3*b**2*g**3 + 5*b**2 + 200 wrt g.\nAnswer: 324630*b**3*g**2 - 9*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -117*l - 2685. Calculate t(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*s - 216*s - 217*s - 46*s**2 - 158*s**2 + 653*s.\nAnswer: -204*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.0000002848. Round v to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11574?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 4 (c) -0.5 (d) 76\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 2*g - 14, -4*f + 3*g + 0 + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 2. Calculate j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-35))\/(10\/(500\/15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 3, f: 5, j: 1, k: 5}. What is prob of sequence kf?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 24 = 2*j + 114, 8*j + 10 - 28 = -4*a + 102 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414968154 divided by 2?\nAnswer: 207484077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -832 + 1193. Let y = 365 - a. Solve 1 = h - y, -5*i - 5 = -5*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10866 - 17947 - 21645 = -452*l + 3818 for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*h**3 - 3*h + 904*h**3 - 2*h.\nAnswer: 1287*h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {u: 3, t: 8, f: 4, a: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5394292 to the power of 1\/2, to the nearest integer?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 + 3)*(-2*o + 3*o - 2*o)*(-321*o + 732*o - 1040*o) + (-3 + 3 + o)*(-o - 2*o + 4*o).\nAnswer: -1257*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 4.98. Let b = 6 + -4. Let z = b - 2.2. Put -2, z, v in increasing order.\nAnswer: v, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (1*(sqrt(1300) + 1))**2)*6 + 6*((sqrt(1300)*1)**2 + -4).\nAnswer: 180*sqrt(13) + 15582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45*((-4)\/(-3))\/4. Let c be (-4)\/(-10) + (-36)\/u. Does -1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d. Suppose -2*u + u + 33 = -4*r, -5*r - 20 = d. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-546)*13)\/(-35).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14107 = -65*r - 13132 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 39534936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from tdbdbccbdbncddcbddc?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 + -356. Let y(p) = -18*p**2 + 5*p - 5. Let x(q) = q**2 - q + 1. Determine c*x(d) + y(d).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -250.71917 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 + 2062 = 12*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -188, 3, 0.\nAnswer: -188, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2571614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*j + 157*j - 252*j - 523*j.\nAnswer: -689*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/8 (b) 5 (c) 22 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*q + 2*x + 2*x, 2*q = 4*x + 24. Let b = 5 - 2. Suppose -s + b*j = 2*j, 5*s - 3*j - q = 0. Are 7 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 19 = -19. Let t(o) = -o**3 - o**2 - o - 2. Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4361.05711 and 2.86.\nAnswer: -4358.19711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4 + 0*r - 3*r - 2. Let h be (-2)\/(-6*1\/(-15)). Calculate the remainder when u(h) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -25*t + 24. Suppose 5*x - w - 24 = 0, 5*x + 2*w + 132 = 159. Solve g - x*g = -5*v + 17, 3*v + t = -3*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840043 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 4*v - 4*v + (-2*v**2 + 2*v**2 - v**2)*(-2 + 2*v + 2))*(5 + 5 + 4) - 3*v**3 + 6*v**3 - v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z - 204. Suppose 9*d = -112 - 95. Let h be n(d). Solve -25 = 5*m + 4*l, -h = 3*m + l + 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 39*s + 4796. Give r(-127).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.339 - -8.339. Sort 0.1, 0.3, i, -2\/5 in decreasing order.\nAnswer: i, 0.3, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2004, -7933, -17814, -31647, -49432, -71169?\n\"Answer: -1976*z**2 - z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*j - 1137*j = -29696264. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 756*w - 26860. Determine s(34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75960 + g**3 - 75952 + 151912.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 72047660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -26 + (9 - -1) + -18 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -0.623\nAnswer: 3.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9120760?\nAnswer: 2, 5, 11, 19, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -21\/3155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/25 - 23\/50. What is the nearest to -2 in -3, f, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1000 and -227?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7*10\/980)\/((-9)\/4)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.36 - 76. What is g rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -3704562?\nAnswer: 3704613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 9*f - 4*f - 65, f + 155 = 8*x. Solve 19*v - x = 14*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/10 - (-74)\/40. Let g = u + 1\/4. Solve -4\/5*a + 2\/5*a**4 + 0 - g*a**3 + 2*a**2 = 0 for a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000489476514 rounded to 7 dps?\nAnswer: 0.0004895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*o**(-18) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-11) + 7 + (-3)\/33?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7167 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -133*k + 537. Let h be o(4). Let s = -0.1 - 0. Which is the nearest to 0? (a) s (b) 23 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 763*h + 72244. Calculate p(181).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.537479789 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + 0.6. Let z = -5.00000001 + x. What is z rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnv when three letters picked without replacement from {x: 4, y: 3, d: 1, v: 1, m: 5, n: 4}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*q**5 + 130*q**3 + 550*q**2 - 84167402*q?\nAnswer: 2480*q**3 + 780*q + 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -55. Is c > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1589 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -322, -1398, -3190, -5698?\n\"Answer: -358*z**2 - 2*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -17a?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -9821.\nAnswer: -6\/9821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6)**(5\/16) assuming s is positive.\nAnswer: s**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 24. Let r = -4.2 - -4. What is the nearest to 2\/9 in 2, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401835 to the power of 1\/2, to the nearest integer?\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -12. Let m = -5 - -6. Let o be -1 - (-2 + m) - -6. Solve i = -4*p - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779602093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21570*b**2*d + 2*b*d + 708*d - 14 wrt b.\nAnswer: 43140*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 514*h + 5327. Give p(-11).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1126\/3 - -372. Let a = 1376 + -12460\/9. What is the common denominator of a and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.435 + 23.335. What is the smallest value in -4, 24, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, 34, 4, 1 in descending order.\nAnswer: 34, 4, 1, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -330 + 689. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212120023 (base 4) to base 10.\nAnswer: 157195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 114296440 to the nearest 1000000.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 17. Suppose 12*g + 28 = q*g. Let u = 2 - -4. Calculate the smallest common multiple of u and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 2. Let u(y) = y**2 + y + 1. Let d(a) = -2*r(a) + 4*u(a). Let z be d(1). Let b(j) = -3*j**2 + 0*j + 4*j + z*j**2 - 2. Give b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*b = -13, -3*c = 5*b - 4*b - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.3805 + 1.363. Let w = d - -9. Let k = -0.018 - w. Round k to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4985*c**3 - 2811*c**2 wrt c.\nAnswer: -29910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 39*o + 3*o - o.\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owlwlllloollw. What is prob of sequence ool?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 94*f**2 + 96*f**2 + 6.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7270891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 43*a + 5*a**3 - 3*a**4 + 10*a**2 + 45*a - 2*a**3 in the form t*a**4 + p*a + b*a**3 + u + d*a**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21610*t - 8862 + 12164*t + 20654*t - 45973*t with respect to t.\nAnswer: 8455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 2234050?\nAnswer: -2234045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(20))\/sqrt(10))**2 - (sqrt(2)*1*5)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12095*g**2 - 18*g - 3. Let m(p) = -p. Determine q(m(f)).\nAnswer: -12095*f**2 + 18*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 40 = 52. Let l be (11 + -3)\/(-2 + 0 + n). Solve 3*y = -l*w - 16, 2*w + w = 2*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/2582 and -47\/6455.\nAnswer: 12910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7022000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -67723783 at most as big as -67723783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.2 - 28.17. What is the smallest value in -5, 7, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3259.28498 + -4?\nAnswer: -3263.28498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 - 4*u**3 + 9*u**2 + u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(5511 + 7040 + 4989)*(-1 + 1 + 2*h) as p*h + a and give p.\nAnswer: -70160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12552*s**2*t + 26*s**2 + 25369927*t wrt s?\nAnswer: 25104*s*t + 52*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 61*d - 14 = -2*y, 0 = y - 2*d - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 2*g - 7 = -3*b, -5*b = -25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170*z - 1174*z + 2356*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 7. Let h be y(11). Let r = h + 8. Suppose r*g - 24 = 4*x, g + 16 = 4*g - x. Sort g, 8, -3 in increasing order.\nAnswer: -3, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 2, f: 1, p: 4}. Give prob of picking 1 w and 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 11. What is t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 125\/(-2) + 11\/(-22). Let k = 147 + m. Let j = -12 + 24. What is the highest common divisor of k and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 16 + 108. Let k = 1791\/140 + -1524\/35. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -83*v + 1. Let i(f) = f. Determine i(h(c)).\nAnswer: -83*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34155 and 1656?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 4*r, 2*i - 6 = 3*r - 0*r. Suppose i*a + 27 = -3*a. Let o = 3 - a. Solve -s = 2*s - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.6. Which is the smallest value? (a) 0.3 (b) -11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.263 - 0.063. Which is the second biggest value? (a) 0.5 (b) 0.07 (c) k (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43343?\nAnswer: 89, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 22. Let m(y) = -2*y - 9. Let b be m(-7). Solve w*t + 2 = -b*i - 1, -2*i - 2 = 2*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784827?\nAnswer: 2784827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*g - 218*g + 65545 - 7948 = 0 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -7. Let z be 4\/20 - (-169)\/5. Suppose r = -2*u + z. Calculate the greatest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 97 + 64 = 5*r, d - 4*r = 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.06 - -0.06. Let s = 2 + -6. Let j = 4 + s. Put i, j, 5 in ascending order.\nAnswer: i, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81144.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 4. Suppose -5*i + 3 = -2*z, -59*z + 12 = -58*z + 2*i. Let j(l) = -5*l + 12. Let b(a) = z*c(a) + 2*j(a). Let d(f) = -51*f + 1. What is d(b(g))?\nAnswer: 204*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*t = -2*t + 2, n - 1 = t. Suppose o = -2*v + 4, 3*v = -3*o + v + 8. Let f be (2\/6)\/(o - (-58)\/(-30)). Solve f*g + n = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let q(c) = -c**2 + 2*c + 5. Let w be q(4). Let b be t(w). What is the remainder when (b\/(-2))\/((-12)\/80) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -17454?\nAnswer: -2\/8727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -89, -91, -93?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, y: 2}. Give prob of picking 2 m and 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 17*v - 1. Let p(n) = n**2 + n + 1. Let s(k) = 6*p(k) - z(k). Let l be ((-8)\/5)\/((-2)\/10). What is the remainder when s(l) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, t: 5, w: 3, z: 1, v: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675 + (1\/(-5))\/((-8)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -33*x - 6. Let i(n) = 34*n + 5. What is -6*i(c) - 5*q(c)?\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 13*y - 5. Let x(c) be the first derivative of 5*c - 13 - 6*c**2 + 1\/3*c**3. Let j(o) = -5*a(o) - 6*x(o). Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056)*-2)\/(-2*(sqrt(7) - (sqrt(7) - sqrt(28)))) + 1 + sqrt(1008) + sqrt(567) + -3 + sqrt(567).\nAnswer: -2 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*a - 680, -4*t + 3*t + a = -144. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*w - 117*w - 4179 = -149*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/4 - 1386*i**4 + 19563*i**3\/2 + 79335*i**2 + 250101*i\/4 - 150255 = 0. What is i?\nAnswer: -1855, -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let k(z) = 839*z**2. Calculate y(k(i)).\nAnswer: -1678*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 + 194*w**3 + 4404*w**2 - 14600*w + 10000 = 0.\nAnswer: -50, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 39 = -9*n. Suppose -n*b = 5*g - 264, -g + 6*g - b - 272 = 0. What is the least common multiple of g and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 719192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/139 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1621\/4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53463921 to the nearest integer?\nAnswer: 7312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 531 (c) -1\/5 (d) -3 (e) -4 (f) -0.17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2420434 (base 5) to base 7.\nAnswer: 245354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 - -173. What is the thousands digit of 2\/a - (-1452 + -36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 192, 396, 590, 768, 924, 1052, 1146, 1200?\n\"Answer: -h**3 + h**2 + 208*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -0.1, 9, -14, -111, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j - 22. Let n be o(9). Let u(r) = 0*r + n - 71 - r**2 - 7*r. Is 2 a factor of u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.742 - 0.47. Let v = g - 0.272. What is the closest to 0 in v, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = g - 3*h, 9*h - 135 = -g + 4*h. List the prime factors of g.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h + 2*h)*(-11 + 18 + 3) + h + 4*h + 0*h + (-3 + 2 - 1)*(0*h - h + 3*h) - 2*h + 4*h - 3*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(100027*o - 417*o**4 - 100027*o).\nAnswer: 417*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 7. Let r(z) = -z**2 - 1. Let l be r(-2). Let c be (l\/3)\/1*-3. Suppose 4*p - 15 = c. Calculate f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - -8) + (42 + -43 + 12 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 - 18*s - 42*s - 9*s + 19*s.\nAnswer: 9*s**3 - 50*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-15 - (3 - 8)). Let w = -16 - -22. Let z(v) = v - 2*v + w*v + 7 + 6*v. Let h(t) = -6*t - 4. Calculate s*z(a) + 7*h(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/m**4*(m**(-1)*m*m*m)**(17\/2) assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32214071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 9. Suppose 4*y = l, -2*z + y = -4*y - 143. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*(-12)\/(-84) + (24\/14)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 23*f - 52. Let u(c) = -7*c + 16. Let s(z) = -7*u(z) - 2*x(z). Let h = -7 + 13. Determine s(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -104.7105 and -924.32.\nAnswer: -1029.0305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -22, -21, -4, 35, 102, 203?\n\"Answer: c**3 - c**2 - 13*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92 - a?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1761 and 21754?\nAnswer: -38308794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:59 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (368\/24 + -6)*(-1 - -184). Suppose 1703*x - q*x + 345955 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s**4 + 25565*s**3\/2 + 387955*s**2 + 3074425*s\/2 - 408750 = 0.\nAnswer: -25, -5, 1\/4, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 + 7 + 0*s**2 + 6*s + 3*s**2 + 4*s**2. Let i be n(-5). Suppose i*o - 6 = 30. Calculate the lowest common multiple of o and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 + -194 + 50 + 24 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1961074*w + 5543*w**3 - 1961074*w.\nAnswer: 5543*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 57. Let p be n(-9). Suppose p = -k + 24. Solve -3*o + k = 3*s, -2*s = -5*s + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 203, 287, 369, 449?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(5 - 4 - 2 + (0 + 3 - 1)*(-6 + 6 + 171))*(-z + 4*z - 6*z).\nAnswer: 2046*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:32 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, -74, -244, -494, -830?\n\"Answer: -f**3 - 31*f**2 + 4*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**22\/(y**(-5)\/((y*y**(-3\/2))\/y*y)))**26 assuming y is positive.\nAnswer: y**403","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/5 - 7932*s**3\/5 + 2781177*s**2\/5 - 162083508*s\/5 + 520709796 = 0. What is s?\nAnswer: 34, 335, 2241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/278 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(50)*4)\/sqrt(5))\/(sqrt(72)\/sqrt(4) + sqrt(2) + sqrt(8)*-1 + sqrt(2)) + 3.\nAnswer: 3 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1414.34925 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29614 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -114, -116, -118, -120, -122, -124?\n\"Answer: -2*z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 10753452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = j - b + 48, -9*j + 27 = -3*b. Sort 151, 5, j.\nAnswer: j, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11\/(s**(-1\/27)*s) assuming s is positive.\nAnswer: s**(271\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 + 20 = 0. What is the tens digit of 2\/s + (-1057)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -5\/8*n**4 + 1\/6*n**3 + 0 + 0*n - 3*n**2. Let h be (2 - (-14)\/(-6))*-3. Calculate u(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, -9, -3, -2916646?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*v + 8, r - 5*v - 6 = 4. Solve r = -n - 11 + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-1320)\/16)*-3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5341894 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + c = 2*c + 249003, c = -3*y + 746997. What is y rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/25*(-5)\/4\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = b - 0, 5*b + 2*v = -15. Suppose -2*j = -3*j + 129. Calculate the remainder when j is divided by ((-5)\/15)\/(b\/132)*3.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 20\/4 + 0. Suppose 4*m + 25 = 3*p - 27, w = -m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36 = 14. Suppose m + 164 = -3*r + 6*r, 3*r = -4*m - 626. Let g = m - -162. Solve 0 = -c - g*c + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 418 = -1384. Suppose -4 - 21 = -5*d. What is the second biggest value in d, v, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 (base 5) in base 2?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 12. Let a be n(0). Let s = a + -7. Solve 0 = -s*u + 4*y + 8, -4 = -4*u + y + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -0.17 (c) 7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021230179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 2 + -2 + sqrt(1008)*-2*-4 - (sqrt(1008) - -1*sqrt(1008))*-6*-4.\nAnswer: -468*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1)*3\/6. Let z be 7 + -2 - 7 - (-14)\/8. Which is the nearest to -2\/7? (a) r (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2577*j. Let p(o) be the third derivative of -o**5\/30 - 3*o**2 - 76. What is d(p(k))?\nAnswer: 5154*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232*z**6 + 11895*z**4 - 1571313*z**2?\nAnswer: -27840*z**3 + 285480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 7. Is n greater than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40226521 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*k - 27, -5*b + 3 = 5*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*i, -3*i + 11*z = 6*z. Let o(r) = -r - 28. What is o(i)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 135578856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*v + 54*v - 184*v + 67*v + 10*v**2 + 50 + 85.\nAnswer: 10*v**2 + v + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k + k + 5*o + 21, 4*o = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033340 + 124343?\nAnswer: -403442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = -189041 - 77295. Round k to the nearest one hundred.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 73*p**5\/60 + 35*p**3\/3 + 31*p**2 + 42. Let b(y) be the second derivative of w(y). Differentiate b(l) wrt l.\nAnswer: 146*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = -p, p = -2*p - 2*h + 8. Suppose p = 3*f - 151 + 391. Round f to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 9. Let k(i) = -1. What is 36*k(r) + 4*x(r)?\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d**3 + 3341*d**2 + 63*d - 114404797?\nAnswer: -18*d**2 + 6682*d + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 29*i - 30*i. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 + -265. Let q = l - 38. Calculate the greatest common divisor of 130 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564 = 14*o - 10*o - 23*m, -87 = 3*o + 4*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 609102 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5021*t = 5069*t - 128928. What are the prime factors of t?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27082 - -49117. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 9920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229763 is divided by 12760.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - m**4 + 0*m**4)*(381 - 683 - 2861 - 388 - 762).\nAnswer: 4313*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 84 = -4*t, -31*a + 30*a - 11 = t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9186*z - 503947 + 160786 = 33085 + 358634 for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104901 - 163853. Let p(v) = -8632*v**3 - v**2 + v - 2. Let u be p(-2). Let k = u - s. What is k rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -5168.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 - 2*d + 7. Let p be z(-6). Suppose k - 37 = -p. Calculate the greatest common factor of k and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 18*p**2 - 5*p. Let k(x) = -17*x**2 + 6*x. Calculate -5*k(z) - 6*r(z).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 166?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**8\/896 + 3*l**7\/560 - l**5\/40 - 27*l**2. Factor f(n).\nAnswer: 3*n**2*(n - 1)*(n + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (3 + -5)\/(2\/2). What is the derivative of 0*j + 154*j**4 + 0*j - 119*j**s + 35 wrt j?\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10203962 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7 = 27. Let g be (j - -4)*1\/(-1). Find the second derivative of m + 0*m**2 - 2*m**2 + g*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 34*f**2. Let d(z) = -11*z**2. What is d(h(g))?\nAnswer: -12716*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -700*r**2 - 821*r**2 - 586*r**2 + (2*r**2 - 2*r + 2*r)*(8 + 1 - 3) in the form m + i*r + z*r**2 and give z.\nAnswer: -2095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4132298 decades?\nAnswer: 0.004132298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-12 + 11)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 4*r + 2. Let u be k(-2). Suppose 0 = l + u*l - 18. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4161 + 6101. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*15.3.\nAnswer: -0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/11 in 14, 1, -1\/3, -12, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10561 divided by -3.\nAnswer: -10561\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (3 - 5))*-3. Find the third derivative of 6*c**2 - 10*c**2 - 5*c**d - 2*c**2 wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 - 167*r**2\/5 + 598*r\/5 + 472\/5.\nAnswer: -(r - 4)*(r + 59)*(3*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -559 + 556. Let t be v\/(9\/978) - (3 - 0). Is t greater than -328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*z**3 + 29884*z**2 - 8*z + 261229868?\nAnswer: -75*z**2 + 59768*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and 29\/4594.\nAnswer: 13782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 12:51 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -43095 and 3.\nAnswer: -43092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -17. Let g be (-18908)\/(-36) + 4\/(-18). Suppose a*r = -5*r + g. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/20 - 5*k**3\/6 + 20*k**2. Let q(s) = -4*s**2 + 5. Let h(g) = 6*f(g) + 5*q(g). Differentiate h(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.031315, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:21 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.7 + 29. Let x = -15.7 + j. Let d = 7.4228 + x. What is d rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let d(b) = -3. Let v(j) = -a(j) + d(j). Let t be v(-2). What is the nearest to t in 0, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 2190\/450)\/(4\/(-42))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -5*y**2\/2 - y + 22. Let q be s(2). Find the common denominator of 125\/54 and ((2409\/4)\/q)\/18.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**2)**(18\/5)*j**(-12)*j*j**(-11)\/j assuming j is positive.\nAnswer: j**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(2\/12). Is x equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 41*q**2 + 280*q + 89. Calculate k(47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -2*v. Suppose -3*c + t + 529 = v, 2*c - 240 = -2*t + 102. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -488 + 1435\/3. Let m(p) = -p**3 + p**2 + 2*p + 1. Let v be m(-2). Let f = v + l. What is the second biggest value in 0.5, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -2*h**2 - 2*h + 58. Let c be i(-1). Let u(r) = r + r**2 - r. Determine u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/40*(-25)\/(-15))\/(-23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018015 to 4 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152, -149, -136, -107, -56, 23, 136, 289?\n\"Answer: s**3 - s**2 - s - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 + -19 - (8 - 19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-45))\/1 + 16\/((-2640)\/(-99))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blb when three letters picked without replacement from ibibiibbbblblbiiil.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 131 and 307149.\nAnswer: 307280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*d*r**3*v + 2*d*r*v + d*v + 26*r**3 - 3*r**2*v - 28*r wrt r.\nAnswer: -138*d*v + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 66, 1 in decreasing order.\nAnswer: 66, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 10*a = -330. Suppose -13 + a = -x. Solve -x*i + 11 = 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 3, t: 2, q: 2}. What is prob of sequence nq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w**3 - 253606*w**2 + 881351*w - 265606 = 0. Calculate w.\nAnswer: 1\/3, 22\/7, 12073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 9*l**2 + l - 8. Let y(o) be the third derivative of -o**5\/20 + 3*o**4\/4 + 7*o**3\/6 - 7*o**2. Let j be y(6). List the prime factors of k(j).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-2 - 2) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -8. Let x(o) = 4*o - 3. Let j be x(-3). What is the lowest common multiple of z and (-12)\/5*j\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 0, 2*x - 60 = -y - y. Let v = -7 + 9. Suppose 5*l - y = 2*w + 88, v*l = w + 47. Solve 4*b = 4*f - l, 3*b - 18 = 4*b - 4*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010101101100110101 (base 2) to base 12\nAnswer: -362671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((64\/(-20))\/(-2))\/((-4)\/(-10)). Suppose -t = -2*j + 58, 0 = -4*j + x*t + 86 + 26. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14220*p. Let t(i) = -4*i**2. Calculate t(m(h)).\nAnswer: -808833600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 242251357033?\nAnswer: -242251357033.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2044, 259, -21.\nAnswer: -2044, -21, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26.81854 kilograms?\nAnswer: 26818540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/((-5)\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Suppose -o - w*o = -12, 0 = -5*f + 4*o - 2. Suppose -f*x + 87 = 19. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2565*j + 2. Let o(n) = -7693*n + 7. What is -7*k(y) + 2*o(y)?\nAnswer: 2569*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose -2*d = 2*d - 2*r - 44, m*d - r = 42. Suppose -6*x = -x - d. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.4. Let j = -5 - -6. Let w = -5.6 - -0.6. Which is the biggest value? (a) x (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -801 = 7*f - 32994. What are the prime factors of 6\/40*5 + f\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*b - 2 + 90 = 0, -4*b = 0. Calculate the remainder when s is divided by 6\/(-4)*(-25)\/75*26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 13*b**2 + 8*b + 17. Let r be i(12). Let s = r - -51. Solve -y + 4 = 3*j, 3*j - s = -8*y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-338)\/(-195))\/(40\/15) and -2 - -4 - 113\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*l + 36300000 = 0, -27084947 = -3*n - l + 9215053. Round n to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 26 - 4 = 0. Solve -j + 21 = 5*f, 0 = j - f + 2*f - i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - n**2 - n**2 + 5*n**2 + 3*n**2 + 20*n**2 + (-2 + 0 + 1)*(2 - 2 - n**2).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-46))\/(22197\/2382478).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273549120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -384365, -1537468, -3459309, -6149888, -9609205, -13837260, -18834053?\n\"Answer: -384369*h**2 + 4*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 318069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:51 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokk. Give prob of sequence kkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -289, -576, -863, -1150, -1437?\n\"Answer: -287*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 24. Let f = j + -5. Suppose f*g - 20 = -4*b - g, 3*b - 3*g = 33. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 25*h**2 + 62*h - 508. Let w be x(-28). Solve 0 = -t - 104 + w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114009, 114016, 113999, 113946, 113845, 113684, 113451, 113134?\nAnswer: 112721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*h + 207*h - 5*n - 128 = 0, -3*n = 6. Calculate the highest common factor of 1593 and h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146888 + 453924 = 4*s + 3*d, -2*s + 3*d + 153518 = 0. What is the ten thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 3, f: 3, z: 4, e: 3, l: 1}. What is prob of sequence ii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176.998925 + 177. What is l rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 56.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 251067*n**2\/2 - 5257277457*n - 367394565090.\nAnswer: -3*(n + 70)*(n + 83654)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/4 - 549*n**2\/4 + 61479*n\/4 + 3969405\/4 = 0.\nAnswer: -45, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1628*n**2 + 11*n + 14. Let l(g) = -545*g**2 - 4*g - 5. Calculate -4*k(b) - 11*l(b).\nAnswer: -517*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16398431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3785312 by -116.\nAnswer: 32632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/893613 and -39\/49.\nAnswer: 893613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -27. Suppose -2*f + 5*m = 135, 3*m = c*f - 0*m + 277. Let a = 98 + f. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -3 + -29 + 49 + -35 + -53 + -1\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 33 = -41. Suppose -6*g = 5*c - g - 80, 4 = h*g. Suppose 2*q - 149 = -3*o, 2*q - 5*o - 176 = -q. Calculate the remainder when q is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 16*l**2 + 18*l + 6. Suppose 4*x - 5*n = x - 12, -4*x - 4*n = 48. Calculate the smallest common multiple of b(x) and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 78. Let q = -7 + h. Solve -3*x - q = -4*n - 2*x, -2*x = 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 4*r - 7. Let t = -16 + 23. What is the remainder when 25 is divided by q(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 887880 and 108?\nAnswer: 7990920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -321 - 103140210?\nAnswer: -103141031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 3*o**2 - o**2 + 60*o.\nAnswer: -2*o**2 + 60*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 79006\/4445?\nAnswer: 79006\/4445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3985 and 65390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 16*n + 33*n - 665 + 21 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 10, 0.05, 4, 0.5 in descending order.\nAnswer: 10, 4, 0.5, 0.05, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - 22472\/(-16). Let a = 1397 - u. Calculate the common denominator of a and 85\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335 and 993040835.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/70 + a**3\/7 - 2*a**2\/7 - 11*a - 2. Factor c(s).\nAnswer: -2*(s - 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 38)\/(-3) + 78. Calculate the highest common factor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 - 264*u**3 + 166.\nAnswer: -264*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*-3*(4 + (sqrt(1872) - (sqrt(1872)*2 - sqrt(1872)))*-4))**2*-6.\nAnswer: -7779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6625802077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1420247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 2*p - 1. Suppose -5*z = 2*d, -2*z + 2*d - 4*d = 6. Suppose -z*g = -5*g + 6. What are the prime factors of n(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*u**5 - 23*u**3 + 19*u**2 + 13*u wrt u?\nAnswer: -780*u**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 130054*-2\nAnswer: -260108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-1 - 1) - 1. Suppose g + 0*l - 20 = w*l, 0 = -5*l - 20. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 57, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2.8055132\nAnswer: -2.8055132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -335, 437, 1723, 3523, 5837, 8665?\n\"Answer: 257*m**2 + m - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y. Suppose -3*g + 1299 - 291 = y. Suppose k - 160 = -3*r, -5*r + 4*k + g = 75. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 10) to base 3.\nAnswer: 21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8004 and -25\/53912?\nAnswer: 4690344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5420648533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 30. Let h(u) = 68*u**2. What is h(x(w))?\nAnswer: 612*w**2 - 12240*w + 61200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/60 - d**4\/3 + 3*d**3\/2 + 14*d**2. Calculate the remainder when k(0) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/16 - (-3)\/(-12). Solve -3*z = 5*n - 35, o*z - 9 = -z - n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395164 or -395151?\nAnswer: -395164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 4, -5 in increasing order.\nAnswer: -5, -0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 15, 3*x - 5 = -d - 0. Is x at most 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(245) + sqrt(245) + sqrt(245) + 1*sqrt(245)*6))**2 - (3 + (-5 + sqrt(5) + -1)**2 + (sqrt(55)\/(sqrt(33)\/sqrt(3)))**2)) + 5.\nAnswer: 12*sqrt(5) + 79336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 1, c: 2, q: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = -2*y. Suppose 0 = 5*a - m - 732 + 5943, 2*a + 3*m + 2098 = y. Let v = a - -1722. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31415018 + 0?\nAnswer: -31415018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 19. Let w be s(-6). Suppose w*f + 4 = 27*f. Does 5 divide ((-88)\/(-11)*15\/4)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4\/3, 0.06, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 293. Is l a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(-4*x**2 + 4*x**2 + 2*x**2) + x**2 + 0 + 0.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/589 - 4\/(-38). Let v(m) be the third derivative of 0 + 6*m**2 + t*m + 2\/3*m**3 - 1\/24*m**4. Determine v(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4031 + 128963\/32. What is the common denominator of d and 1 + 0 + 50\/44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of ((-257 + 7)*1)\/((-5)\/50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkvvv. What is prob of sequence kkvk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19204 - 19202. Suppose 2*v = -5*g, 17 = 5*g - v + 2. What is the smallest common multiple of g and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 48 = -465 - 1087 for b.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96876.784 rounded to the nearest one thousand?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 22. Let h(o) = -o**2 + 11. Calculate -13*h(s) - 6*w(s).\nAnswer: s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -2*k**3\/3 + 19*k**2\/2 - 3*k. What is the tens digit of x(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 - 5*a**2 - 3*a - 4. Let u(r) = -r**3 + r + 1. Suppose -37 = -12*n + 23. Suppose 2*q - 6 = 4*c, -n*q + 7*q = c + 3. Determine c*j(v) - 4*u(v).\nAnswer: -v**3 + 5*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -278*z + 14493. Let q be t(52). Solve -2*u + 9*u + q = 4*l, 2 = 2*u + 2*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3885984?\nAnswer: 2, 3, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 27*g + 387. Determine c(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -318*n + 15194 + 3250. What is the remainder when 6319 is divided by n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*z + q, 204*z - 203*z + 5*q + 7 + 28 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*i + 2060 = -2*z, -2*z + 5*i = 838. Let m(n) = -n - 286. Let l be m(0). Let t = l - z. What is the highest common factor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.15 - 0.75. Put c, 1\/4, -17\/9 in descending order.\nAnswer: c, 1\/4, -17\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 2. Let n(h) = -2*h**2 + h**2 - h**3 + 2*h**2 + 5 - h + 2*h. Let s be n(0). Solve s*a = 17 - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 179*o + 1456 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 169 = -109. 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 2689484838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1359\/41 and -32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 7*i + 18. Let v = -57 - -51. Let r be m(v). Solve -4 = -2*n - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8699656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -66*b + 6441. Let s be j(98). Let l(i) = -42*i - 6. Let u(n) = 6*n + 1. What is s*u(f) - 4*l(f)?\nAnswer: 6*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810431 and 1832?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010111010010010101 - 100?\nAnswer: 101010111010010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-69\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k**2 - 5*k - 14. Let t(h) = 5*h**2 + 3*h + 7. Give -3*p(n) - 5*t(n).\nAnswer: 5*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12652*k**2 - 1868*k - 39849630.\nAnswer: 25304*k - 1868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20*-1.03883\nAnswer: -20.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -45, 33\/10, -0.5, -4 in increasing order.\nAnswer: -45, -4, -0.5, 3, 33\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1116)\/(-16) - (-8)\/32?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*s**2 - 8*s**2 - 10*s**2 as g + h*s + o*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - 18\/(-6)*3. What is the second derivative of 6*z - 19*z**3 - z**2 + 0*z - w + 0*z**2 + 123*z**3 wrt z?\nAnswer: 624*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*p + 28991, 303*w = 306*w - 4*p - 17403. Is w a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-10) - 28\/35. Solve -3*a + 0 = 5*j - 13, m = -j + 5*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -1)\/(5 + (-19 - -15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let w = 4 - m. Let i = -2.07 + 0.07. What is the second smallest value in -2\/9, w, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*g = 3*g + 116, -3*y - 173 = 5*g. Let d be (-9)\/(-12) + y\/(-4). Solve -4*u = d, -2*u = 3*j - 0*u + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11202*p. Let c(z) = -5*z**2 + 80*z + 1. Calculate o(c(g)).\nAnswer: 56010*g**2 - 896160*g - 11202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 2*q**3\/3 - 1. Let s(z) = 0*z - 2*z - 2*z + 2*z - 2*z. Calculate s(t(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 804?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 + 4 = 0. Let s(k) = 5*k**3 - k**2 + 3. Let q(p) = -p**3 + p**2 - 1. Give w*q(i) - s(i).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(192) + 2)*-5 + 3 + 3*sqrt(192) + sqrt(192) + 2)*5)**2.\nAnswer: 2400*sqrt(3) + 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 0 + 0 - -6. Let g = 8 - 9. Let k be (-2 - g)\/(-3 + s). Which is the nearest to k? (a) 0.3 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4) + 35\/7 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1331*i - 1342*i = -550. Solve 10*a = -0*a + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -10*y - 138 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 59 - 85 = 0. Let j(a) = a**2 + 14*a - 29. Let d be j(y). Factor 0 + 3\/2*p**2 + p + 1\/2*p**d.\nAnswer: p*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4733732.4 to the nearest 10000.\nAnswer: 4730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 1 = -u. Suppose 8 = p - u. Suppose -3*y + 16 = y + 4*r, 2*r + 7 = 3*y. What is the greatest common factor of y and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283360000 rounded to the nearest 1000000?\nAnswer: 2283000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 5*v**2 - 4*v. Let t(a) = -4*a**3 + 2*a**2 - a. Let u = 19 - 17. Suppose -4*s - u*y = -y - 5, 2 = 5*s - 3*y. Let p be t(s). What is l(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 4)*(-2*u**3 + 6*u**3 - 3*u**3)*(0*u + 48 - 2*u - u) as r*u + h + b*u**4 + d*u**3 + v*u**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 8*x + 2. Let c be (-80)\/14 + 6\/(-21). Determine s(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 233 = -52*g + 68*g + 4*o, 59 = 3*g + 4*o for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 + -113. Let y = g - 58. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 2\/7, -5, 1\/6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2*62\/(-5))\/(284\/95 - 3)?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142283 less than -6.74441?\nAnswer: -1142289.74441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4002 + 7640. What is the greatest common divisor of b and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5789.\nAnswer: 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 177*x. Let o(k) = -10*k - 51. Determine v(o(u)).\nAnswer: -100*u**2 + 750*u + 6426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laaaqal. Give prob of sequence ql.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.39 and -2965.5.\nAnswer: -2965.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 5, -6\/11, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 7) + (-9 - -4) - -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299356?\nAnswer: 2, 67, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 752 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2776, -2773, -2770?\nAnswer: -2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/158287814 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 23 = k + 17, -3*k = -24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**6 - 329*g**4 + 90*g**3 - 15824*g**2 + 1 wrt g.\nAnswer: -240*g**3 - 7896*g + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37353*d**3*l**2 + d**3*l*m**2 + 49*d**2*l**2 - d*l*m**2 - 4*d*m + 15*l**2*m + 3*l**2 wrt d?\nAnswer: -224118*l**2 + 6*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r**2 - r - 47. Let i be y(0). Let q = 63 + i. Calculate the least common multiple of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24370 divided by -2\nAnswer: -12185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/4 - 1917*v\/2 + 11610 = 0.\nAnswer: -1290, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 293419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (14 - 23)) + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-56) + 589\/217. Suppose 4*q - 23 = -63. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 2716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:46 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 9 = 0. Suppose r*a = -a - 5*u + 107, -2*u - 63 = -3*a. Suppose 13 = 3*z - a. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -44. Suppose g + 12 - 4 = 4*z, z - 3 = v. Suppose -g*p + p + 27 = 0. Solve -3*i + t = -2*t + p, -5*i + t = 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443623*m**3 - 10712*m?\nAnswer: -2661738*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3)\/(2\/(-1)). Let k(v) be the first derivative of -v + 1 + 0*v**2 - 1\/2*v**4 + o*v**3. What is the first derivative of k(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183401255078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 18\/(-9) + 1)*(-1 + -2). Sort 20, 1, -5, 0, n in descending order.\nAnswer: 20, 1, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaadatg. Give prob of sequence ad.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2095799\/871008 + 2\/27219. What is the common denominator of 29\/32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/(107\/(-214)*(-4)\/(-10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, 1847 in descending order.\nAnswer: 1847, 21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000299 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:21 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 1. Let s(g) = -g. What is -2*i(z) + 11*s(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140511671, 140511673, 140511675?\nAnswer: 140511677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 262 + 31 + 174)*(116 - 116 + 155*v**3).\nAnswer: 79515*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 - 367. Suppose 0 = -2*n + 2*a + 704 + 394, -i*a = 20. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 4:03 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -12\/373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(93\/18)*2\/42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 53. Determine y(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787407385?\nAnswer: 5, 151, 2367427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/17 - 224*s**2\/17 - 5592*s\/17 + 41184\/17 = 0. What is s?\nAnswer: -26, 6, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -31*l**6\/10 + 17*l**5\/10 + 2*l**4\/3 + 95*l**3\/6 + 3*l**2\/2 + 26*l + 102. What is the third derivative of d(n) wrt n?\nAnswer: -2232*n + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 621.1 - 582. Let n = w + -39.458. Let v = 2.448 + n. Round v to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*l**2 - 240*l**2 - 69*l**2)*(-3 + 1 + 3 + (5 - 4 - 2)*(-2 + 3 - 2)).\nAnswer: -682*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32317*o**3 + 3*o**2 + 639943*o?\nAnswer: 193902*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -84. Calculate the remainder when y is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1156265719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066800 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161383488*d**3*x**2 - 2*d**2*x**2 - 4*d**2*x - 17*d**2 - 28*d*x**2 + 4*x - 1 wrt d?\nAnswer: 968300928*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 69*m + 1. Let q(p) = -7*p. What is k(q(f))?\nAnswer: -483*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 7*p - 15. Suppose -2 = -2*q, 4*q = -u - 4*u + 59. Does 3 divide y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (-14 - (-43 - -18)) + 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**7\/14 - 3*u**6\/5 + 21*u**5\/20 + 67*u. Factor t(v).\nAnswer: -3*v**3*(v - 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 109*w**5\/120 - w**4\/6 - 7*w**3\/3 - 5. Let s(p) be the third derivative of d(p). Is s(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 100021?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*y + 3*y**3 - 19 + 10 to the form p*y**3 + j + s*y**2 + k*y and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from rrrrqrrrqq?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2011, 2.3, 0.2, -2, 7\/4, 4\/5.\nAnswer: -2011, -2, 0.2, 4\/5, 7\/4, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 11*m - 93, 61*v - 67*v - m = 29 + 216 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkkjev. What is prob of sequence kem?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-4))\/((-738)\/(-164)). Let i be 8\/(-77) - 6\/33. Which is the nearest to -1? (a) u (b) 19\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:16 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 3 + 16*a + 15.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-12)*(-12)\/10. Suppose 14 = u*x - 22. Solve -5*t = 8 + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180 * -3921.377.\nAnswer: 705847.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*h - 19, -4*h = -3*r - 0 - 13. Let p(q) = 5*q - q**2 - h + 0*q + q. Determine p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2\/(-2) - -2. Suppose 3*a - 2*i + i = 13, a + i - 11 = x. Let j(u) = 2*u**2 - 2*u - 3. Is j(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 14 + 2 + -18?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(136) - -5*sqrt(136)*2 - sqrt(136))\/sqrt(8) + 3 + 0 + sqrt(34)\/sqrt(2) + -1 + -4)**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 5*q**2 + 5*q + 2. Let y be p(-2). Let t be ((-3)\/(-18))\/((-6)\/y). Which is the third smallest value? (a) -0.2 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000101669 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p - 3. Let c be (-5)\/(-1) + 1\/p. Suppose 0 = -c*b + 5 + 3. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighty-seven quarters of a tonne?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 66295*n + 265164. Let q be c(-4). Find m, given that 0 + 0*m**2 + q*m + 10\/13*m**5 - 6\/13*m**3 - 4\/13*m**4 = 0.\nAnswer: -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwpnnwwwwwrrrrpwnwn. Give prob of picking 3 n.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -19. Which is the third biggest value? (a) -13 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/(v*v\/(v\/(v*v**(4\/7)))))\/v)\/(v*v**4)*(v**(-1))**(5\/3))**(2\/25))**(-15) assuming v is positive.\nAnswer: v**(346\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z + 19 + z**2 + 6*z - 2*z**2 - 9*z. Suppose g = 6*g + 30. Is c(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0*i**3 + 4*i**3 - i**3 + 2*i**3 - 2*i**3 + (-i**3 + 3*i**3 - 4*i**3)*(1 + 1 - 4) + 2*i**3 + i**3 + 0*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14899296?\nAnswer: 2, 3, 155201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w - 5 = 0. Let g = -2 + w. Let m = -4 + 6. Which is the closest to 1? (a) g (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-24)*14)\/((-6)\/168). Let m = z - -98. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101201 is divided by 50589?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 + 4006 - 2*f**2 - f - 10*f**2.\nAnswer: -f**2 - f + 4006","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20380)\/(-14) + 50\/175. Let f = -762 + j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {l: 1, k: 1, o: 2, q: 1, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(-355*h + 3155*h + 103*h) as o + u*h and give u.\nAnswer: -5806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261120 and 709376.\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 (base 8) in base 12?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 1)*(3 - 4 - 1)*(-4*m**2 + 13*m**2 - m**2) - 6*m**2 + m**2 + 3*m**2 + (-m + 0*m + 3*m)*(0*m - m + 0*m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(1008) + -1) - (-2*sqrt(1008) + -2))*2)**2 + 4.\nAnswer: 2592*sqrt(7) + 36616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1456 and -103\/34114704.\nAnswer: 238802928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(3*x - 4*x + 2*x) - 1 - 3*x + 1 + (-2 + 2 + 3*x)*(0 + 2 - 1 + (2 + 0 + 0)*(2 + 0 + 0)) to the form p*x + b and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 1 + 1)*(1262 - 536 + 1249) - 2*s**2 + 3*s - 3*s + (-3*s - 4*s + 5*s)*(-1 + 1 + s) - s**2 - 3*s**2 + 3*s**2 - 6*s**2 - 7*s + 7*s.\nAnswer: 5914*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9))**(-2\/19)\/(t\/(t\/t**3*t)*t**(-1\/9))*(t\/t**(-1))**(-7)*t*((t\/(t*t**(3\/5)*t))\/t)\/t*t*t*t\/(t\/(t**(-3\/7)*t)) assuming t is positive.\nAnswer: t**(-95126\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*l**(1\/3) assuming l is positive.\nAnswer: l**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*t - 12, 13*b + t + 1 = 9*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -702, -703, -704, -705, -706?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -18 (b) 1 (c) -67 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u*u**(-15)))*u**20*u assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose -2*c = -171 - 101. Suppose -b - r*b = -c. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.234380489*0.1.\nAnswer: -0.0234380489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1097943*f**4 + 3*f**3 + 5341130*f**2 wrt f.\nAnswer: 26350632*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210001 - 10100010?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -4.83.\nAnswer: -115.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 6*d + 4*d + 3*d - d - 16*d**3 + 8*d in the form r + g*d**2 + y*d**3 + p*d and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22 + -5)*(28 - -1). Let t = d - 280. Is 71 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, -350339 in decreasing order.\nAnswer: 4, -2, -4, -350339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 108 + 78. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -94. Suppose 5*k + j = 35. Is (-31*1\/(k\/12))\/(-1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 1, y: 2, t: 4, g: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3 - 4*s**2 + 94*s - s**2 - 159*s**3 - 73*s. Let o be d(11). Round o to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 + 23*a**3*x**3 - 2*a**2*x**3 + 2*a - 28*x**3 - 2 wrt a.\nAnswer: -24*a**2 + 138*a*x**3 - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/11 - (23 + 12029\/(-506)). Suppose -k*t + 1 - 1\/2*t**2 = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0178873 rounded to four dps?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*((1 + 3 - 2)*(4*d - 4*d + d) + 2*d + 3*d - 6*d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -23, -6, 11, 28, 45?\n\"Answer: 17*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*q - 753 - 12*q + 32*q)*(-6 - 22 - 5).\nAnswer: -33*q + 24849","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 174, 169, 160, 147, 130, 109, 84?\n\"Answer: -2*n**2 + n + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 6. Let u be v(6). Suppose b - j - u + 3 = 0, -5*j = 4*b - 63. Suppose 0 = 5*g + i - 2*i - 21, -4*g + 2*i = -b. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:10 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/3 - 390364*q**3\/3 + 12698540919*q**2 + 25397602326*q = 0. What is q?\nAnswer: -2, 0, 195183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.055 - -0.062. Round c to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-11.2967.\nAnswer: -56.4835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9600414.\nAnswer: 2, 3, 1600069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 1250*j - 12804. Calculate i(302).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469215, -938384, -1407505, -1876578, -2345603, -2814580, -3283509?\nAnswer: -3752390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/868 and -129\/2170.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -53. Let q(n) = 10*n**2 + 18*n**4 - 11*n - 2*n**4 - 4*n**2 - 11. Let k(j) = 3*j**4 + j**2 - 2*j - 2. Let g(p) = o*k(p) - 6*q(p). Factor g(f).\nAnswer: 3*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9704 and 38816.\nAnswer: 38816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(26908\/403)*16\/(-13)*-2*1\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6642000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113048 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcppckkxccfcjkfp. What is prob of picking 3 p?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.7459 times 0.2\nAnswer: 0.14918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(65*s**4 + 353*s**4 + 57*s**4).\nAnswer: 950*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 15 = h. Let s = -1.88 - -2.18. What is the second smallest value in h, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104*n = 1192*n - 63536. What is the greatest common factor of n and 570?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10344 a factor of 1323049320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 5\/6 (c) -37.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 39 - (0 + -1)) + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 30. Solve -k + u = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266176 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*f - 4*j + 65, 0 = 5*f + 4*j - 95. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**2 + 15*i + 2. Calculate a(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 5, r: 3, b: 4, f: 5}. What is prob of picking 1 z, 1 r, and 2 b?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -66007.9522 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**4 + 154*s**2*w**2 - 3*s*w + 538*w**2 wrt s.\nAnswer: 72*s**2 + 308*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + -14 + 28 + -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/6720 - c**7\/1680 + c**6\/1440 - c**3\/3 + c**2. Let a(q) be the first derivative of s(q). Factor a(b).\nAnswer: b**2*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:01 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 - 2*l. Let r(c) be the second derivative of c**4\/6 - 34*c. Give x(r(q)).\nAnswer: -36*q**4 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6735, 2015, -5861, -16899, -31105, -48485?\nAnswer: -69045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpjjjjjjjpj. Give prob of picking 4 j.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u*u\/u**(-13)))*u**17)\/(u**(1\/4))**(-47) assuming u is positive.\nAnswer: u**(179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -697*o + 620*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 25*p + 9\/10*p**3 + 0 - 9\/25*p**5 - 1\/5*p**6 + 3\/70*p**7 - 6\/5*p**2 + 7\/10*p**4. Let m(h) = 0. Calculate h.\nAnswer: -1, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = 4*r, 4*l - 8 = 5*r + 1. Suppose 3*f - 2 = 2*f. Is f < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126154, 1009286, 3406362, 8074354, 15770234, 27250974, 43273546, 64594922?\nAnswer: 91972074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 + 66*d**4 - 447*d**3 + 1104*d**2 - 720*d = 0.\nAnswer: 0, 1, 4, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l**5\/5 + 488*l**4\/5 + 1083*l**3\/5 + 117*l**2\/5 - 23*l - 21\/5 = 0 for l.\nAnswer: -7, -3, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26956 (base 11) in base 12?\nAnswer: 1a296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 1180 = -2*m, u + 4 = 0. Let r = 952 + m. What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6*3\/(-63) - (-494)\/(-210) and 0 - 1 - 284\/16.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 47*j = -12648. Suppose -2*g = 3*x - 3*g - j, 2*x - 1412 = 4*g. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + (1 + sqrt(15)\/sqrt(3) - sqrt(5)) - (-5 + sqrt(5) + 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -252 + 37*k**3 + 0*k - 9\/5*k**5 - 3\/4*k**4 + 0*k**2. What is the third derivative of h(a) wrt a?\nAnswer: -216*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + s**3 - 3*s**2\/2 + 4*s - 2. Let q be v(2). Solve 2*p = 4*p + 5*h - 26, 8 = q*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:40 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(1\/5))*z**8)\/(((z\/z**(-9\/4))\/z)\/z*(z*z\/(z**6\/z*z))\/z*z*z) assuming z is positive.\nAnswer: z**(219\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 881 and -0.063.\nAnswer: 880.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (1 + -1 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:18 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s. Let b(t) = 2*t - 3. Let m(x) = -6*x + 8. Let h = -23 - -15. Let a be -2*((-27)\/(-2))\/9. Let k(f) = a*m(f) + h*b(f). Calculate k(j(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*6\/168)\/(4\/(-56)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**2 + 427980*x - 15840736 = 0.\nAnswer: -107032, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115.99999887 + -116. What is v rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - 624\/(-88))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155.000001 + 155. What is n rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 4 + 3)*(0 - k + 0) - 7 + 7 - 5*k)*((1 + 3 - 2)*(-6 + 1 + 1) + (-2 + 4 - 3)*(-5 + 1 + 3)) as x*k + c and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425027?\nAnswer: 425027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (((-40)\/(-24))\/(2\/24))\/2 and 694.\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32)\/(2\/4)*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1685362*v**2 - 497649.\nAnswer: -3370724*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/7, -66102, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 864*c**2 + 20763*c\/4 - 15579\/2.\nAnswer: -(c - 3)**2*(c + 3462)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 512029 to the power of 1\/2, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -8) + 296 + 51.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4908 - 2828. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 15*m + 2. Suppose 0 = 3*i - 6*k + 10*k + 15, -4*i - 20 = -3*k. Determine o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*(12\/4)\/(-9))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:42 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = 2. Let w = k - 1. Suppose 6 = 3*f - w. What is the remainder when 7 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 - 297*b**4 + 20607*b**3 + 397377*b**2 - 457680*b - 834156 = 0.\nAnswer: -141, -17, -1, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let l be (w\/(-5))\/(5\/100). What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76)*2*-5 + sqrt(76)*-1*-4)*5)\/((-2*sqrt(40))\/sqrt(10) + sqrt(4) - -3*sqrt(12)\/sqrt(3)).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (1 + (1 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 3*t. Let z be (-4)\/(-12) - (-24)\/9. Let n(f) = -f**2 + 2*f + 4. Let u be n(4). Let c(b) = 3*b**3 - 4*b. Determine u*g(h) + z*c(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 168 = -23*g. Solve -g*s + 21*s = 72 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.06 times 389.6\nAnswer: -1192.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2 + 2 + 2*u. Let l(o) = -1. Let r(p) = 6. Let q(z) = -5*l(z) - r(z). Let b(k) = 2*k - 2. Let a(m) = -2*b(m) + 4*q(m). Calculate v(a(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) - ((-48)\/(-60)*42516 + -3). What is q rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17 and 17321?\nAnswer: 17320.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873314190?\nAnswer: 2, 5, 4889, 58771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3447, 3, -7, -4 in decreasing order.\nAnswer: 4, 3, -4, -7, -3447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0*o**2 + 0*o**3 + 0 + 1\/4*o**4 - 8*o. Let p(a) be the third derivative of 3*a**5\/20 - 2*a**2. Give p(q(w)).\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52952 rounded to 3 decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3 + 7 - 2)*(-2*b - 5*b + 6*b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -719054 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 163, 4 in increasing order.\nAnswer: -4, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + -3) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/7, 0.12, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-576)*24\/9. Sort 10, 5, g.\nAnswer: g, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*g + 35*g + 4 - 4*g)*(0*g + 0*g - g) to c*g**2 + n*g + z and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 163*w - 170*w. Let m(z) be the second derivative of 2*z**4\/3 + z**3 - 3*z**2 + 43*z + 2. Let x(o) = 9*o**2 + 7*o - 6. Give w*x(y) + 7*m(y).\nAnswer: 2*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(91)*-2)\/(-1*sqrt(567)).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duecdevdvd. Give prob of sequence cded.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 3 + 0\/2. Determine f, given that -20 - 6*f**5 + 60*f**4 - 30*f - h*f**5 + 24 - 100*f**3 + 80*f**2 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(450) - sqrt(18))*-5*4)\/(3*(sqrt(9) - sqrt(18)\/sqrt(2)) - 3*4*sqrt(9)))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13193 + 272*t + 13193.\nAnswer: 272*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 12*j + 14. Calculate f(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 5. Let n(u) = -2*u + 6. Let r(j) = 2*n(j) - 3*p(j). Let t be r(-5). Solve 4*q = 2*h + h + 4, t*h = 2*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 81446 - 20764 = -1653*z - 11903 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -1492 - 329. Let y = -3049\/5 + j. Find the common denominator of y and 31\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1571 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(144) - -1*sqrt(144)))\/(sqrt(12) - sqrt(108)\/sqrt(144)))**2 - ((-1*(-2*sqrt(270) + sqrt(270)))\/(1*sqrt(810)))**2.\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 17*n. Let z(f) = -2*f**2 + 14*f - 1. Let c(d) = 3*r(d) + 4*z(d). Let o be (-42)\/4*6\/9. Give c(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose i - 2*i = 2*k + 1668, c*i = 5*k - 3381. Is i\/(-2) + (-1 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1 + 1 + 2*g - 1 + 2*g**3 - 2*g**2. What is the remainder when h(2) is divided by ((-2)\/2 - -3) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -27*j**3 + 4. Let n(y) = 1998*y**3 - 297. Determine -297*d(v) - 4*n(v).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(5)*1 + -6*(sqrt(5) - (sqrt(5) + 2)))*-1)**2.\nAnswer: 252*sqrt(5) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 797, 4, 1, -0.3, -47 in increasing order.\nAnswer: -47, -0.3, 1, 4, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11263000*j**2*t**5 - 31*j**2*t**2 + 107*j**2 - 10*j*t + 14*j wrt t.\nAnswer: 675780000*j**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 1519560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -2 (b) -4 (c) -2\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-2*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -43. Let t = -47 + w. Suppose -t = -4*m + 2*a - 0*a, -5*a + 15 = 4*m. Solve 2*o + m*c = -6, o + 0*c = -c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1014409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - t - 1799 = 0, -2*a + 5*t = -0*a - 738. Let v = a + -192. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 2*y**2 + 28*y**3 - 24*y**3.\nAnswer: 4*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1491, 2976, 4457, 5934, 7407, 8876, 10341?\nAnswer: 11802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(78)*-2 + sqrt(78)))\/(sqrt(8)\/sqrt(4)*6))\/(5*((1*(2*sqrt(3) - sqrt(3)) - sqrt(3)) + sqrt(3) + -6*sqrt(15)\/sqrt(5))))**2.\nAnswer: 13\/22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/120 + h**5\/10 + h**4\/24 - 5*h**3\/6 - 3*h**2 + h. Let f(b) be the first derivative of v(b). Is f(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 1\/8, -17, -1\/17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -3*i + 215. Let j = i + -37. Solve 3*y = -4*u - 17, -y + u = 3*y + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11775365539 to 6 dps.\nAnswer: 0.117754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + o**2 - 9*o**2)*(-2*o**2 + o**2 + 0*o**2).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1429?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p. Let x be u(-5). Suppose k = -4*k - 4*m + x, 2*m = 2*k - 24. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -689 - -688.9999673. Round j to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 17*i + 216 = -2*c, 3*i - 2*c - 159 = 0. Let x = 316 + -160. Calculate the remainder when x is divided by i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -1.5, -1\/7, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -1. Let z(s) = -8*s**2 + 7*s**2 - 16*s + 10 + 4*s. Let r be z(-10). Calculate the highest common divisor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408224291.000423 + 408223756. Let u = -522.073 + -12.927. Let n = u - w. What is n rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-69))\/((2\/(-1))\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 9*u - 36. Give p(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 - 13*k - 419. Calculate i(6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -566*w**4 + 3336.\nAnswer: -2264*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 769462259565 and -0.3?\nAnswer: 769462259565.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 2 - x**2 + 3*x**2 + 4*x + 6*x as y + s*x + m*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 3283*o - 97590.\nAnswer: -(o + 30)*(o + 3253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -3463?\nAnswer: -3474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 5 - (-5 + 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v**3 + 1865*v**2 + 116*v**3 - 8*v + 7*v - 3738*v**2 + 1873*v**2.\nAnswer: 87*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*o + 7. Find the third derivative of -5*s**2 + 5*s**o - 9*s**2 - 5*s**3 - 12*s**6 wrt s.\nAnswer: -1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3248100 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 5*i**2 - i + 3. Let a = -1 - 2. Let w be z(a). Suppose -3 = -2*n + w. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -36, -86, -166, -282, -440?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = -5*z. Let c be 4 + z + 2*-1. Let q = 4 + c. Which is smaller: 3\/2 or q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100 + -1000101011111?\nAnswer: -1001000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9581*q**5 + 25*q**3 + 146*q**2 - 745*q.\nAnswer: -574860*q**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 9*d**2 - 26554*d - 26544.\nAnswer: (d - 168)*(d + 1)*(d + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 2*g - 3. Let j(x) = 5*x**2 - 4*x - 6. What is -4*j(k) + 7*p(k)?\nAnswer: k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.5, 3, -8, -1163, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-833)\/(-140) + 0 + -6)*14*-10 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52822 and 3355.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001011 (base 2) to base 14.\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 60*t**2 - 2*t + 2. Let i be q(1). What is the greatest common divisor of 150 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 the millions digit of 27747899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/48 and (-3 + 2 + -1)\/(120\/(-17)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*v**2\/5 - 2494962*v\/5 + 688272\/5.\nAnswer: -3*(v + 28678)*(29*v - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.98351 weeks to microseconds.\nAnswer: 59260426848000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 228 + 258 = 0. Sort 4, q, 2, 3 in increasing order.\nAnswer: 2, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 5*o, -3*f = 3*o - 9. Solve c = j + 2, j + 0 = -f*c + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -3. Suppose k = -y*k - 15. Let s(d) = -d**2 - 4*d + 4. Determine s(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*n**2 + 4\/3*n + 7\/6.\nAnswer: (n + 1)*(n + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 634 + -632. Let k(z) be the second derivative of -10*z + 0 + 7\/36*z**4 + 5\/18*z**3 - 1\/3*z**o. Solve k(u) = 0 for u.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 9. Let b be g(-11). Suppose b = 4*l - 7. Suppose f - 3 = -l. Is f greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 9*d - 2. Let b be v(7). Suppose -3*x = 5*a - b, 0 = 2*x - 3 + 5. Suppose -z = 5*t + z - 460, -a*t + 272 = 2*z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -2*k + 229. Let m = -3 - -18. What is the highest common factor of m and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - h. Suppose 1 = -5*u - 3*d, u - d + 7 = -h*d. Which is the closest to u? (a) -1 (b) 2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17))**(-4\/9)\/(t**(-8)*t**(-11)) assuming t is positive.\nAnswer: t**(2899\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -3. Let g = 5 + l. Let n be (32002 - 2)\/(2 + g). What is n rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:32 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x - 1\/24*x**4 - 1\/20*x**5 + 0 + 4*x**2 + 0*x**3. What is the second derivative of w(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 447 and 4768.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/43 - -467\/301. Let g = 3\/14 - n. Let i = -345 + 343. Which is the nearest to 1? (a) -5 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyywwyw. Give prob of sequence wy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30253 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53051, 212163, 477359, 848645, 1326027?\n\"Answer: x**3 + 53036*x**2 - 3*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 589\/2 + 1\/(-2). Suppose -1371*j = -1365*j. Suppose 97*l - 94*l - v = j. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = -19*k + 472 + 48 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 - 4*b + 9. Determine j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.989 - -0.011. Let g = f - 27. What is the second smallest value in -1, g, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 5334, -2, -1\/4, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6111 + -6744.6. Let i = -634 - y. Which is the third smallest value? (a) i (b) -10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6883603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -z - 4*z - 71, 0 = 5*h - 2*z - 332. Let l = h + 79. Suppose -183 = -2*x + l. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k. Let u(d) = 22*d + 1. Let q(b) = 2*u(b) + 3*x(b). Let f(v) = 4*v + 2. Determine 3*f(h) - 2*q(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/33800352 and -49\/224624.\nAnswer: 3413835552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4\/15, -0.5, -0.9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45420.08435 rounded to the nearest one hundred?\nAnswer: -45400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 15. Let g be (-24)\/56 - y\/42. Which is the biggest value? (a) 0 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-30)*5 + -13. Let k = n - -8. Suppose 0 = -4*f + 20, 3*f - 5*f = p - 7. Sort k, 2, p in decreasing order.\nAnswer: 2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 606, 819, 1120, 1509, 1986?\nAnswer: 2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 s when four letters picked without replacement from {g: 3, s: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 5)*(-8*o + 2 - 6 + 2).\nAnswer: -32*o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2218831 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:59 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from zdzzzdzfdndndnfzl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 2. Let d(o) = 25*o**2 + 17. Let h(l) = -6*d(l) - 51*v(l). Let s(m) be the third derivative of -m**5\/20 + 3*m**2. Calculate h(s(q)).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5548)\/(-2907)*(-210)\/112 - (5 + (-51)\/6)?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - f - 11. Give g(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2760 and -27\/736.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2 = -l, -l - 8*f + 4 = -9*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*x = 2*z + 10, 0 = -3*z - x + 9. Let m(a) = 22*a + 38. Is 12 a factor of m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 1. Let p(v) be the third derivative of v**5\/60 - v**4\/6 - v**2 - 47*v. Let q be p(4). What is the nearest to 1 in 2\/9, c, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*r + 14, 5*t = 9*r - 6*r + 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-70 + (9 - 4)) - -13?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6543298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.35 take away -2?\nAnswer: -54.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 5*v. Let n be 3 + v\/(16\/(-22)). Sort n, 3, 4 in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40091*w + 150 = -40096*w, 147 = i - 5*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2008 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23136018751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*s**2 - 10 + 10 + s.\nAnswer: -775*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -25*b - 20489*b**2 + 1 - 38*b - 20493*b**2 + 113 + 40985*b**2 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -20, 22*n - 27*n + 34 = 4*w. Calculate the greatest common factor of n and 360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*l**3 - 13 - 65*l**2 - 226*l**6 - 203*l**6 + 394*l**6 wrt l.\nAnswer: -4200*l**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-6))\/(-2)*((-4747)\/94)\/(-101).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406631 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2*(-6)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 - 1059 = -233*l. Put -615, 0.01, l, 1 in descending order.\nAnswer: l, 1, 0.01, -615","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129889601 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/30112026 and 53\/111844668?\nAnswer: 782912676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**(-1))\/n))\/n**(-3)*(n\/n**(-2\/5)*n*n)**23)**(-1\/59))**(9\/4) assuming n is positive.\nAnswer: n**(-936\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2531368.\nAnswer: 2, 7, 17, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 31*x**2 - 433*x + 44. Let s be f(14). Suppose -4*a + 5*h + 580 = 0, -5*h - 580 = -4*a - h. What is the greatest common factor of a and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c + 13 - 2*c**3 - 5 + 13*c**3. Let z(n) = -4*n**3 + 4*n - 3. Let u(d) = 3*y(d) + 8*z(d). Find t, given that u(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 13*b**2 - 4*b - 10. Let i(q) = 5*q**3 + 40*q**2 + 12*q + 30. Let s(u) = 8*d(u) + 3*i(u). Is s(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -13 (b) 0.2 (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6. Let v(u) = -8*u**2 - 48. Let y(n) = -8*f(n) - v(n). Let p(m) = m**2 - 2. Determine p(y(a)).\nAnswer: 64*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 9*m + 9. What is i(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*q + 21*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - 71. Let t = 8 + n. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725*j - 2*i = -724*j - 528, -3*j + 5*i = -1518. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -10.89. Let d = s - -19.11. Let o = d + -20. Which is the second biggest value? (a) 2 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4881677 to the nearest integer?\nAnswer: 2209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*a**4 - 132\/5*a - 134\/5*a**2 + 132\/5*a**3 + 133\/5.\nAnswer: (a - 1)**2*(a + 1)*(a + 133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**31)\/o*o)\/o)\/(o*o**(-22)))**31 assuming o is positive.\nAnswer: o**1643","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405) - sqrt(45))\/(3*sqrt(144)) + -1 + (sqrt(245) + sqrt(245)*-3 - sqrt(245))**2 + -2 + sqrt(245).\nAnswer: 77*sqrt(5)\/12 + 2202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 5*l + 2 = 5*a, -6 = -5*a - 2*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -31 + 7*d**2 - 5*d - 13*d**2 + 7*d**2. Let b(l) = l**3 - 16*l**2 + 29*l - 8. Calculate the remainder when i(-7) is divided by b(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2) + 1800\/144. Suppose 4*c - 3*g = -g + u, -11 = -3*c - 2*g. Solve 4*s = -l - 0*l + c, -s = -5*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (2 + (sqrt(119)\/sqrt(63) + 4)*6)*-5.\nAnswer: -136 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55599 and 5418.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/((-1674)\/72))\/(80\/12*48\/(-32))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrzzrrzrjrrelrj. What is prob of picking 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -578*k + 1082 wrt k?\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m - 74. Let d(u) be the second derivative of u**4\/12 + 8319*u. Calculate w(d(c)).\nAnswer: -11*c**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74a0 + 0?\nAnswer: -74a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82 and -0.03.\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:09 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 0*n + 0*n + (317*n**2 + 26079 - 26079)*(-2*n**3 + 0*n**3 - 2*n**3).\nAnswer: -1270*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -3)\/(7 - (-2795)\/(-400)). What is the greatest common factor of 88 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3489 + 3489. Solve x = 3*h + 5*p - 17, -h + 11 = 2*h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 6, x: 1, w: 2, y: 3, b: 5}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2864)\/(-12) - 9\/(-3). Let x = k - 259. Calculate the common denominator of x and -5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -35. Let i(v) = h + 9*v - 8*v - 4. Determine i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from lollnnl.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065762 rounded to seven dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s - 4*s + 4*s + 1. Let h(d) = -17. Let k(i) = -8. Let o(z) = -h(z) + 2*k(z). Give f(b) + o(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 24 + 3)*(4*d**2 - 4*d**2 - d**3).\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-52)*3\/12.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-25))\/((4\/(-10))\/(362\/(-14661))).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -5\/58 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 767380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 - 57. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*w - 7, 1600*v - 1595*v = 4*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*r = 201*r - 35. Suppose 4*g = -r*x - 17405, 4*g + 6*x - 3*x = -17403. Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (28 - (-5 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 8419297.\nAnswer: -1683859.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(3*v**3 + 4*v - 25 + 25).\nAnswer: 6*v**3 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*t + 320 = 0, -3*a + 2*t = 3*t + 310. List the prime factors of (1 - -23)*a\/(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -11. Let c = r - -13. Solve -1 = -2*v - n + 3, -3*n + 12 = c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 9 - (-26 + 19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 0.04, 1970, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1268 - -1974. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 10. Suppose -i - 4*f - 10 = 0, -2*i - x*f = -2*f + 5. Find the second derivative of 5*h**2 - 6*h**4 - 2*h - 5*h**i + 4*h**4 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.061483 < -1.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m + 5. Let w be o(6). Let l = 8 + w. Which is the nearest to l? (a) 3\/2 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -120020?\nAnswer: 120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j - 4. Suppose -4*n = -5*b - 59, -3*n + 46 = -0*n - j*b. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 0.57\nAnswer: 60.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (93\/465 + 298\/10)*(-7666)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-23) + (-696)\/(-69) + 0. Solve -33 = -4*b - 5*n, -c*b + n - 1 = -8*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 4, m: 3, h: 2, w: 2, l: 6}. What is prob of sequence hw?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69562.7 seconds to milliseconds.\nAnswer: 69562700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 828*f - 1165. Determine u(-167).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 13 + (5 + -8 - -13) + -38.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26549 + 26643. Calculate the greatest common factor of 33182 and v.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w. Let k(z) = 3*z**2 + 9*z + 4. Let r(t) = k(t) - 2*q(t). Let d be r(-5). Let a(s) = s**2 + 4*s - 1. What is the tens digit of a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqhqhqqhqh. What is prob of picking 2 q and 2 h?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:38 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*z)*(0*z - 2*z + 0*z) + 17437 - 970*z**2 - 17437.\nAnswer: -974*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose 2*m + 0*m - 20 = -4*j, 4*j - 5*m = 20. Sort j, b, -3.\nAnswer: -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2 and -53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -52. Let d(i) = i**3 - 4*i**2 + 6*i - 2. What is the smallest common multiple of d(4) and o\/45*6*(-9)\/6?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 times -5?\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 98380 = c - 0*c, 3*c - 295098 = -o. Suppose -c - 27635 = 3*z. Round z to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21566 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 = -2. Let x(f) = f + 9. Let y be x(-8). Let b be 2 - c\/y - 1. Solve 5*u - 2*z = -12, b = -5*u + 3*u + 2*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s + 26*s + 202*s**3 - 220*s**3 - 54*s.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-75)\/90))\/(6\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -27bd?\nAnswer: 27b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 16483 = -98*r + 97*r, 5*r - 82519 = -h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (4 - 0 - 9 - -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offoofffffooo. Give prob of sequence oo.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + -5240.\nAnswer: -5240.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4047206 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 3 + 2 - 5.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -45, -57, -71?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 9976 in descending order.\nAnswer: 9976, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.54029262 rounded to three dps?\nAnswer: 69.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -6 - -6) + (-2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 0.1\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 533*u**2 - 2*u - 636*u**2 + 2*u as c + f*u**2 + a*u and give f.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13 = 2*l + 7*d, d - 1 = l. Solve -1 = l*y - 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 + 13*o + 8. Let q be t(-6). Let a(w) = 3*w**2 - w + 1. What is the lowest common multiple of a(q) and (-11)\/11*(-1 + (2 - 2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -6. Suppose 0 = -3*r + 3*q, i*q - 24 = -5*r + 4*q. Sort 0.5, r, -2.\nAnswer: -2, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172 - -167. Sort -2, 5, -0.12, h in increasing order.\nAnswer: h, -2, -0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*f + 5*f. Let a(j) be the third derivative of -j**4\/12 + 8*j**2. What is a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/6*4\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -11*y**8\/216 + 43*y**7\/105 + 221*y**6\/540 - 1007*y**5\/270 - 62*y**4\/9 + 20*y**3\/27 + 1447*y**2. Find i, given that n(i) = 0.\nAnswer: -1, 2\/77, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7008182*r**3 - 1603*r**2 - 22*r - 4.\nAnswer: -42049092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 + 490. Suppose 0 = -3*m - 4*j - b, -2*m - 5*j = 71 - 61. Let -306\/5*t - 124\/5*t**3 + 76\/15*t**4 + 108\/5 + 288\/5*t**2 - 2\/5*t**m = 0. Calculate t.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 245302877 - 3?\nAnswer: 245302874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1554514 by 777257.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89081 + -12919. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180)\/sqrt(10) + 1*sqrt(50))**2.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 0 + 0 + (-1 + 1 + 2)*(-b + 2*b - 3*b))*(-3*b - 1 + 1).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqqqbqqqqq. Give prob of picking 2 q and 1 b.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u - 3339 = -3*q, -u + 3*q - 846 = 0. Let m = 1210 + u. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 2*a - 40 - 287 as v*a + f and give f.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 37, -0.4, 3, 1\/5, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 1 + (3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 6. Let z be h(4). Let w = z + 6. Let o be ((-9)\/6 - -2)*4. What is the highest common divisor of o and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4704\/735 + 2\/(-3) + (-4)\/(-15). Let x(u) = u**2 - 7*u - 6. Let i(q) = -q**2 + 8*q + 5. Give w*i(v) + 5*x(v).\nAnswer: -v**2 + 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 37*x**2 + 35*x + 118. Give z(36).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.218.\nAnswer: -0.00436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(8064)*-2 - (-2*(sqrt(8064) + -2*sqrt(8064)) - sqrt(8064)))\/((sqrt(648) + 2*(sqrt(648) + (sqrt(648)*1 - sqrt(648))))*-2))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**3 - 63729*p + 3*p**2 + 195*p**5 + 32663*p + 32356*p wrt p.\nAnswer: 3900*p**3 - 18*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24586, 24585, 24584?\nAnswer: 24583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2 + 5 + 76*t**2 + 0*t - 4*t - 3. Let a be d(7). Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44783 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/3)\/6*1. Suppose -w - 3*b + b = 5, -4*w + b + 25 = u. Solve 0 = -5*z - 4*d - 10, d = -5*z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2333863?\nAnswer: 2333863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c - 1. Let r be d(-6). Let a be -3 + -1 - (r + 1). Let n be (-2)\/(24\/(-15))*a. Sort -1, -2, n in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (2 - -1) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4 = -3*q, 11*q + 6 = 6*q - 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 0.7354460185?\nAnswer: 0.5354460185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 + 26*h**2 + 18*h + 9. Let b be y(-7). Calculate the highest common divisor of 10 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) -0.01 (b) 3491 (c) 2\/21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4769407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5*1\/(18\/(-15)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(81) - sqrt(9)))\/(-5*sqrt(27)).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30231 - -1031?\nAnswer: -23200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**6\/2880 - 11*y**5\/960 + 16*y**3 + 1. Let r(w) be the third derivative of o(w). What is u in r(u) = 0?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-1402)\/(-2103)*((-522)\/(-10))\/(-3)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 27*a + 21. Let b(g) = g**3 + 4*g**2 - 4*g + 7. Let c be b(-5). Suppose c*u - 24 = -u. Put u, 4, a in descending order.\nAnswer: u, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*(sqrt(2057) - 4*(4*sqrt(2057) + sqrt(2057))) + 5)*4)**2*4.\nAnswer: -133760*sqrt(17) + 1188123264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 143789196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5 + 628*n**4 + 2360*n**3 - 13480*n**2 - 2364*n + 12852 = 0.\nAnswer: -153, -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 4\/5, 2\/21, -46, -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*i - 2758 = -45*i + 146*i + 14842 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 4. Let t = d + 7. Let o = -40.082 + 41.082. Sort t, o, 5\/3.\nAnswer: t, o, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, s: 2, l: 3}. Give prob of picking 4 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -127+1915207218\nAnswer: 1915207091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -2025, 25 in descending order.\nAnswer: 25, 3, 2, -2025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 27. Let s be z(-8). Let l(q) = -4*q - 20. Let i be l(-6). Let a(v) = -3 - i*v + 2*v + 6*v - 5*v. Calculate a(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 40, 7, -3, 0 in ascending order.\nAnswer: -3, 0, 4\/5, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11158404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -j + 2*s - 7, 3*j + 3*s - 27 = 0. Let n(x) = 19*x - j - 30 - 8 + 6. List the prime factors of n(11).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from {i: 10, t: 1, f: 2, a: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 229.26.\nAnswer: 223.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 1.373.\nAnswer: -12.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 1 + (-1 + 0 + 2)*(0 + 5 - 4) - 28 + 100 + 135)*(-4*u**3 + 5*u**3 - 3*u**3).\nAnswer: -430*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-63))\/(18\/27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 171?\nAnswer: -16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 14234550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408980 and 2208492.\nAnswer: 11042460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -6)\/((-37)\/(-333) - (-20)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912588877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10502 is divided by 148?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.029 - -2.971. Let f = -13 - -8. Put f, -0.06, c in descending order.\nAnswer: c, -0.06, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/1176 - 4*a**7\/735 - 3*a**6\/70 + 18*a**5\/35 - 45*a**4\/28 - 38*a**2 + 1. Factor c(u).\nAnswer: 2*u*(u - 3)**3*(u + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -716 - -1046. List the prime factors of g.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80955687 to the power of 1\/2, to the nearest integer?\nAnswer: 8998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 15*q + 10. Let t be o(-10). Let s = 188 + t. Suppose -3*c + s = 1. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 21*a**3 + 45*a**2 + 27*a.\nAnswer: 3*a*(a + 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*l - 20, -28 = -4*v - l - 4*l. Let r = -6 - -7. What are the prime factors of (-3*r)\/((-4)\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49641850?\nAnswer: 2, 5, 31, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 10}. Give prob of picking 3 v.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -23*x - 142. Let m(s) = 32*s + 219. Calculate -8*g(b) - 5*m(b).\nAnswer: 24*b + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.183 = -1.3577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15*5*(-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - c**2 - c - 2. Let v be 0*((-9)\/(-3))\/3. Let n be t(v). Let l be (-1 - 9\/(-4))*4. Put l, 3, n in ascending order.\nAnswer: n, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3795, -7656, -11517?\nAnswer: -15378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o*o**(2\/5))**43 assuming o is positive.\nAnswer: o**(-774\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1090, 1277, 1466, 1657, 1850, 2045, 2242?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1933, 2727, 3521, 4315?\n\"Answer: 794*r + 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 1 + 2*y - 6*y)*(4 - 2 + 0)*(9 + 17 + 9)*((1 - 1 - 1)*(1 - 5 + 3) - 3 + 3 - 2 - 7 + 1 - 1).\nAnswer: 1120*y - 560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*s - 12 = -96*s. What is the second derivative of 3 + 11*y - s - 35*y - 13*y**2 wrt y?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -0.07, 2, 12?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 13) to base 15\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 13*d**6\/30 + d**4\/12 - 55*d**2\/2 + 141*d. What is the third derivative of c(u) wrt u?\nAnswer: 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.2 + 10.3. What is the fourth biggest value in h, 1\/4, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -4, 6, -9, -1, 4, -5 in decreasing order.\nAnswer: 108, 6, 4, -1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*g + 25 = -2*g, 2*h - 3*g = 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*g + 4*w, -3*w = g - 3 + 6. Let x be ((-3)\/(-5))\/(g\/(-10)). Solve 7*b = x*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 42, -8, -6, 11 in increasing order.\nAnswer: -8, -6, -5, 4, 11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 18*m = -6. Which is the biggest value? (a) 2 (b) 4 (c) m (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/51328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.75 * 4.301111\nAnswer: 7.52694425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, u: 3, i: 1}. Give prob of sequence ir.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*x**2 + 11*x**2 - 24*x**2 to g*x**2 + b*x + l and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 74 = -0*m - m, -2*m = -x - 192. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 19*j**5\/30 + j**4\/4 + 2*j**3\/3 + 38*j**2 + 2*j. Calculate the remainder when h(-2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 155, -2, -86 in decreasing order.\nAnswer: 155, 116, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -2, 1\/5, -3, 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:04 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 2108*h - 8496.\nAnswer: 4*(h - 4)*(h + 531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/20 - z**4\/4 + z**3 + 30*z**2 + 90*z. Does 12 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 + 16*i**2 + i + 19. Let y(x) = -3*x - 6. Let n be y(-5). Let r(g) = -g**3 - 4*g**2 - 5. Let k(u) = n*r(u) + 2*d(u). Calculate k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*6*21\/(-1071)*17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.63 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:28 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 158283640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 4469022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w + 4. Let h be t(1). Solve 2*y = -0*y + 4*z - h, 3*z = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.059603+-0.0509\nAnswer: 6.008703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:32 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 4) in base 6?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - x + 2)*(-1 - 2 - 9)*(1 - x - 1)*(8 - 2*x - 8).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 3*i = 9, -i - 3 = 3*f. Let r = 19 - f. What is the greatest common factor of r and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, w: 5}. Give prob of sequence aw.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79210139 to the power of 1\/2, to the nearest integer?\nAnswer: 8900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 31*o**3 + o**2 - 2*o + 1. Let s = 9 - 3. Let c = s + 5. What is the remainder when g(1) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/8, -6378, 1\/2.\nAnswer: -6378, 1\/2, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19b475 + 320?\nAnswer: 19b795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.01 + 10.1. Let w = p - 7.08999653. Round w to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 2*m**3\/3 + 3*m**2 + m + 17. What is f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20776711, -41553427, -62330143, -83106859, -103883575, -124660291?\n\"Answer: -20776716*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuutuutuuuu. What is prob of sequence tuut?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67310, -268621, -604138, -1073861, -1677790, -2415925, -3288266?\nAnswer: -4294813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/30 (c) 1.1 (d) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29*b**3 - b**2 + 11*b - 9. What is h(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 100 = -2*g, 47 = q - g + 16. What is the remainder when 454 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by 11719?\nAnswer: 85\/11719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 13*i + 3. Let j be f(-13). Suppose -j*w - 2*w - 4*m + 23 = 0, 0 = -w + 5*m - 7. Suppose 6*t**2 - 12*t + 3*t + 6*t - w*t**3 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75 - 9)\/12 - (-62)\/10. Sort p, 51, -5.\nAnswer: -5, p, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*b - 100070085 + 8800943 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 1\/24*u**4 + 0*u**3 - 3*u + 0 - 1\/4*u**2. Suppose y(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1298 + 2?\nAnswer: 129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27476435 and 1645.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2552\/145 - 19 - (-201)\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3067584 is divided by 766783.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/315 + j**5\/45 - j**3\/9 - 84*j**2. Factor v(w).\nAnswer: -2*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(96)\/sqrt(3) + -5 - (3 + (sqrt(2) - -2*(sqrt(2) + -1))))*-1 + 1).\nAnswer: -14 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 47*r)*(-19*r**2 - 12*r**2 + 47*r**2).\nAnswer: 752*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 - 7955*f**3 - 7125*f**2 + 1308375*f - 5366250 = 0. What is f?\nAnswer: -1590, -15, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -265409, -530886, -796365, -1061846, -1327329, -1592814?\n\"Answer: -b**2 - 265474*b + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11398546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/11))**(9\/5)*(o**21*o)\/(o**(-5\/8)*o) assuming o is positive.\nAnswer: o**(10091\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 0.65. Let v = 0.55 - d. Let w = 3.05 + v. Which is the closest to 0? (a) w (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - h**4 + 4*h**2 - 2 - 6*h**4.\nAnswer: -2*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 11:26 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-15)\/(-95)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + (-2*-1*sqrt(85) - sqrt(85))\/sqrt(5))*-3)**2 + 2.\nAnswer: -60*sqrt(17) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/11 in -0.1, -872, -0.2, 4, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6888306 and 2532?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbcbnbbcbnbhn. Give prob of sequence nncn.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*((-10)\/(-4) - 2))\/2. Suppose -5*n - 312 + 3727 = t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d01b (base 14) in base 10?\nAnswer: -35697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 59*z**2\/2 + 2*z + 1. Let k be q(2). Suppose -3*c = 12, 0*a = 4*a - 2*c - k. Solve 3 = 5*h + a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {u: 2, a: 1, l: 1, s: 1, i: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {t: 1, c: 8, x: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*x - 55, -2*a = -2*x - 0*x + 20. Suppose 0*v = 4*v - 4. Suppose 6*y - x = -v. Calculate the least common multiple of 5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-296)\/(-2)*3\/(-6). Let n = -17 - a. What are the prime factors of n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-20)\/16) + 1. Let d(z) = -z**3 - 3*z**2 - 3*z - 4. Let o be d(u). Solve 0 = -p + 2*p - 3*k + 12, -4 = o*p - k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose -4*z + 3*m + 1031 = 0, 12 = 2*m + k*m. Suppose 0 = 3*w + w - z. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3281.45 tonnes in nanograms?\nAnswer: 3281450000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18424 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -27*o**2 + 135*o. Let p(f) be the first derivative of -f**2\/2 - 578. Determine -h(w) - 135*p(w).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 993*n - 3751. What is the tens digit of o(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 9) to base 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/((-6)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 5*k + 6. Suppose 0 = 3*g + 3, -53*g = -o - 57*g - 1. What is the lowest common multiple of (-3)\/(6\/(-24)*o) and b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242557079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022021 rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + 2. Let o = 5.9 + -6. Let s = o - d. What is the second smallest value in s, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 - -16362360.7\nAnswer: 16362360.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 1575, 35 in ascending order.\nAnswer: 35, 203, 1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-21)*12\/60.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssssdssdsss?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10541672000 rounded to the nearest 1000000?\nAnswer: -10542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*s - 1, 3*j - 21 = 42*s - 45*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 5*i + 833 + 4382, 2*i = 4*n + 2606. Is -650 equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(315\/10) - (9 - 9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - p**2 - 12*p + 13. Let v(s) = -4*s**3 - 13*s + 14. Let o(j) = -4*v(j) + 5*x(j). Let g be o(6). Sort g, 3, -1 in increasing order.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*w = 76493865 + 714066135. Round w to the nearest 100000.\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddxddodxdodx. What is prob of picking 1 x, 2 o, and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/15 + 5 + 39\/(-9). What is the second smallest value in g, 0.3, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 7*n - 9*n)*(1 + 0 - 4) as z + o*n and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1105 or 104?\nAnswer: 1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 4*k**2 + 3*k - 1. Let x = -10 - -12. Let l be t(x). Which is greater: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/38053 (b) 2\/5 (c) 5 (d) -1 (e) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52398163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 53*q**4\/12 + 7*q**3\/2 + 29*q**2. Is f(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/6 (b) -0.04 (c) -187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -16, -0.4, 0.5, -1\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*p + 40. Let f = p + 10. Suppose -u + 3*a + 9 = -5, f = -u + 2*a + 14. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5\/7 + 228*b**4 - 4815*b**3\/7.\nAnswer: 3*b**3*(b - 3)*(b + 535)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1553 + 1553 - 44*a**3.\nAnswer: -44*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 2*a**2 - 2*a - 2. Let q be 3 + 1 - 0 - 2. Let k be g(q). Suppose 0 = k*d - 9*d - 40. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuwuuu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by -4543\nAnswer: 208\/4543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + z - 3*z - 4. Let t be (-2)\/6 - (-80)\/24. Suppose -h = t*h - 12. Let o(v) = -2*v - 2. Give h*m(b) - 7*o(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 64 = 4*r, 8309*r + 15*u - 204 = 8312*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275432 + 118435639\/430. Find the common denominator of -18\/2279 and h.\nAnswer: 22790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-10))\/(3\/(-40)). Suppose -5*x - u = -5*m, -3*x = -2*m - 4*x - 4. Solve 0*v - 3*v + 3 = m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 734 = -4*h, -5*r = -h - 1631 - 2039. What is the smallest common multiple of r and 2?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(3))*4 + sqrt(3) - (-1 + sqrt(3) + 3))*6.\nAnswer: 60 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 198*q + 1 + 1)*(-23 - 22 - 11*q + 45).\nAnswer: -2178*q**2 - 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -33. Sort k, 3, 0.5.\nAnswer: 0.5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203753 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21919 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/126)\/(42\/(-147)*1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*z - 371*z - 161*z - 168*z + 1031*z + 3*z**2 - 168*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*g = 437, -3*f + 8*f = 2*g + 1107. What are the prime factors of 2\/13 + 29801\/f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160388832 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 10*t - 221. Let f(r) = 4*r**2 - 16*r - 333. Determine 5*f(k) - 8*q(k).\nAnswer: -4*k**2 + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 11 = -n, 5*n - 35 = 2*c + 8. Suppose 456 = -5*t - n*t. Is -38 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33563*z**3 - 28047*z**2.\nAnswer: -201378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4)*1 + -1. Suppose -3*i = -3*z - 6, -3*z - 2*i - w = 2*z. Let s be (-2 - -4) + 3 - z. Put 1, -2, s in descending order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2390?\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/26*(4 + (-16)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 869 + -856. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 2318187.\nAnswer: -68\/2318187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*(48\/10)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 48 = 0. Suppose q + h = 4*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744338 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 10*j**2 - 7*j + 12. Let g(k) = -2*k + 12. Let m be g(3). Suppose m = -2*q + 22. What are the prime factors of d(q)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72839 is divided by 900?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)\/(-2 - 0). Suppose q = 5*z + r, 5*r - 3 = z - 29. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07923239 rounded to 5 decimal places?\nAnswer: -0.07923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*n**5 + 9*n**2 - 10*n + 40 wrt n.\nAnswer: 340*n**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 4*v**5 + (4*v**4 - 2*v**4 - 3*v**4)*(2*v + 0 + 0) + (4*v**5 + 0*v**5 - 2*v**5)*(0 + 5 - 3) - 3*v**5 - v**5 + 5*v**5.\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*a - 2*a - 1461, -2*a + 5*i + 953 = 0. Let k = a - -151. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1058190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1700699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - -4.4. Let s = 0 + w. What is the third smallest value in -4, -1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41694728 - 41694728 - 12*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213121133 (base 4) to base 6.\nAnswer: -3243035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -734342445 and 0.5?\nAnswer: 734342445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24831.81 meters to millimeters.\nAnswer: 24831810","meta":{"dup_signals":{},"source":"measurement__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: Calculate -769863*-39.\nAnswer: 30024657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 134.0885 millennia?\nAnswer: 1609062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1 - 39*l + 20*l + 18*l. Let k(z) = z**3 + 2*z**2 + 3*z. Determine k(j) + 3*x(j).\nAnswer: j**3 + 2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 595 = 51*n + 1449 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + (1 - -7 - 6) - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-17 - -3 - -5 - 9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69622 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12312*n = 5*g + 12318*n - 93, -2*g + 3*n = 60 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3309 divide 114557580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78961124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 580421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**2 + 5*m - 5. Let h(o) be the third derivative of -o**5\/15 - o**4\/8 + o**3\/2 - 90*o**2. What is 10*h(a) + 6*q(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p + 32. What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89915689 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.05 - -23. Let t = i - -5.45. Let p = -5 + t. Which is the fourth smallest value? (a) -1\/4 (b) -3 (c) -4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5675, -5680, -5687, -5696, -5707, -5720, -5735?\n\"Answer: -i**2 - 2*i - 5672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 102, 213, 358, 555, 822, 1177?\n\"Answer: 3*f**3 - f**2 + 93*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3113, -24747, -83409, -197615, -385881?\n\"Answer: -3086*a**3 + 2*a**2 - 38*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 89 - 88 = -3*u, 0 = 3*h + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 8. Let g(c) = c. Let q be g(5). Suppose -4*o - 424 = 5*m, -o - o - q*m - 222 = 0. Let y = o + 107. What is j(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76261 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*i + 15, -35 = -4*p + 3*i - 50 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199549 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 4\/16975, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**15*y*(y\/(y*y**8*y))\/y)**(-2\/9) assuming y is positive.\nAnswer: y**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 (base 6) in base 10?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 766868*m**2 - 113850*m + 7 wrt m.\nAnswer: 1533736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7647163 to the nearest integer?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7551948 and 23\/5034632.\nAnswer: 15103896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2706 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*o**5 - 978618*o**2*z**2 - 2*o*z - 11935*z**2 + z + 15 wrt o.\nAnswer: 340*o**3 - 1957236*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4586*n**2 - 4584*n**2 - 4*n + 4*n. Suppose 4*z = -z + 30. Suppose z*h - 2*h + 8 = 0. Give d(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -12, 6, -0.1.\nAnswer: -12, -0.1, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, m: 1, e: 9}. Give prob of picking 1 m, 1 e, and 1 c.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose -3*o + 48 = -5*v, -5*v - 69 = -w*o - 2*o. What are the prime factors of 141\/o - (-2)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*q + 114 = 0, -22*l + 5*q + 228 = -18*l. What is the remainder when l is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + b + 3*b)*(-4 + 3 - 1)*(-21 + 8 + 3) to the form z*b + p and give z.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2*u**2 - 115 + 0 + 10*u**2.\nAnswer: 8*u**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1453, 5822, 13103, 23296, 36401, 52418, 71347?\n\"Answer: 1456*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 6 + 43*i - 7*i + 24*i to r + n*i and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 6, -5, -20, -39, -62, -89?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 13*f - 105 = 0. Let m = -0.1 + 0.2. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) - 1*sqrt(3024))\/((sqrt(441) + sqrt(49))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*y + 38*y - 56. Determine v, given that -y + 36 + 16 + 35 + 6*v - 17 - 2*v**2 = 0.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5\/3 - 126952*c**4\/3 - 2014347370*c**3\/3 + 8058786004*c**2\/3 - 3358007360*c + 1343236800 = 0.\nAnswer: -31740, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 5*k - 0*k - 13, -10 = 4*c - 2*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20*(110\/25 - 4). Suppose -4*t = -5*n + 20, -4*t + x = -7*t + 2*n. Solve t = -3*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -1327, -2987, -5311, -8299, -11951?\nAnswer: -16267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s**3 + 7*s**2 - 10*s - 9. Let i(t) = 11*t**3 + 6*t**2 - 9*t - 8. Calculate 7*i(o) - 6*k(o).\nAnswer: 5*o**3 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2736))*-1)**2 + 4 + (sqrt(57) + sqrt(57)*-1)\/sqrt(3))*-4.\nAnswer: -10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:12 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8 = -2*n + 34, 4*n - 1 = -s. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 111?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*v - 0*v + 4*c, -2*v + 2*c = -14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4740 and 255624.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143172410.\nAnswer: 2, 5, 19, 41, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:34 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 226\/(-113)*(2\/2)\/(-56)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -20?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {x: 7, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Is 7 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = 145*s - 121*s. Suppose -42 = d - 5*h + 6*h, -4*d = 2*h + 166. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 2795*r + 431959. What is g(135)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6369822874 to the power of 1\/2, to the nearest integer?\nAnswer: 79811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)*m\/(m**(-31)\/m)*m assuming m is positive.\nAnswer: m**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 885741 (base 9) to base 6\nAnswer: 15201401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.6 + -10.3. Which is the nearest to 0? (a) -0.22 (b) -2\/21 (c) 3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 (base 6) in base 9?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.061162 millilitres to litres.\nAnswer: 0.004061162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96988321 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 171 and 0.5.\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1 + 4*b - 3*b - 5. Let u be d(-8). Let j(s) = 3*s**2 + 4*s. Let v be j(-2). Put 5, u, v in decreasing order.\nAnswer: 5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15415, 30828, 46237, 61642, 77043?\nAnswer: 92440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/(2737\/(-644))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076 divided by -5.\nAnswer: 1076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (515775\/1196)\/((1 - 0) + 58\/(-64))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -65*m + 401. Let u(j) = -16*j + 100. Let x(t) = 18*u(t) - 4*y(t). Let h be x(7). Factor 0 + 18\/5*k**4 + 0*k + 14\/5*k**5 + 4\/5*k**3 + h*k**2.\nAnswer: 2*k**3*(k + 1)*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 26388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*n + 15, 4*a - 7*a = -n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21082112, 21082120, 21082138, 21082172, 21082228, 21082312, 21082430, 21082588?\nAnswer: 21082792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1055*u - 1795*u - 1878*u - 7 + 6.\nAnswer: -2618*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 1793.\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + 2 - 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4\/7 - 1510*a**3\/7 + 207786*a**2\/7 + 1510*a\/7 - 29684 = 0.\nAnswer: -1, 1, 181, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(112) + -3 + 4 + 2 + (sqrt(112) - sqrt(112)*1)).\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54882.074 and 6693.\nAnswer: -48189.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(198)\/sqrt(6))\/(sqrt(1331) + (1*sqrt(1331) - sqrt(1331)) + sqrt(1331)).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/5)*a*a)**(-10\/3)\/(a**4)**(-49) assuming a is positive.\nAnswer: a**194","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*c = -3*c + 102, -4*c = -8. Calculate the common denominator of -14\/11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30384371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(20\/46)*2. Let s be (2\/5)\/((-1)\/(-50)). Let z = w - s. Calculate the highest common divisor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/14699 + -1131891\/499766. Suppose -2*g - 94 = -18. Calculate the common denominator of x and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 + 4. Let u be x(-4). Solve -2*a - u*d + 5 = 3*a, 1 = a + 2*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130128 is divided by 156?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199136894?\nAnswer: 2, 11, 2053, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 1836936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 20*d - 75 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*w - 156*w = 704. Solve -12*j = -w*j - 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950747.\nAnswer: 7, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -140, -215, -290, -365, -440?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171.04109 take away 3?\nAnswer: -1174.04109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) -0.5 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-34)\/(t**(-2))**(-44) assuming t is positive.\nAnswer: t**(-684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.392002119 - 1.392. What is p rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34b (base 14) to base 16\nAnswer: -28f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 868, 886, 902, 916, 928, 938, 946?\n\"Answer: -p**2 + 21*p + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 24*a**2 + 21*a - 53. Let t(g) = g - 1. Let m(l) = -h(l) - 6*t(l). What are the prime factors of m(-25)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*c + c**3 - 32\/3 - 32\/3*c**2 + 1\/3*c**4.\nAnswer: (c - 2)**2*(c - 1)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*l + 99385, 44*l + 2*p = 45*l - 33123. What are the prime factors of l?\nAnswer: 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-3)*(-240)\/300\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + q**2 - 1. Let o be n(-1). Let f(v) = 7*v - v**2 - 5*v + 1 - v**o + 0*v. Calculate f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3138.1 - 3322. Let r = 116.6 - i. What is r rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 39, -2 in descending order.\nAnswer: 39, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18574*m = -18569*m - 60. Solve -8*r = -16*r - m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d + x, x + x = -3*d + 3. Let n be -1 + -1 - d*-5. Let h(f) = f**3 - 3*f**2 + 4. Let o be h(n). What is the closest to -1\/3 in o, 0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjpqpapa. What is prob of sequence qppp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 2245307?\nAnswer: -2245313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 6026?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 23 - 32)*(0*m + 6*m + m)*(-49*m**2 - 57*m**2 + 100*m**2) as j + t*m**3 + l*m + y*m**2 and give t.\nAnswer: 1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j - 3. Let f(l) = -687*l**2 + 24*l - 16. Give -f(p) + 6*w(p).\nAnswer: 681*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386465?\nAnswer: 5, 37, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-117)*11 + (-42)\/(-273). Suppose 0 = 2*y - y. Is j at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f. Let z(k) be the third derivative of -k**5\/60 + 58*k**2 - 2. Calculate b(z(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -5*w - 342. Is 38 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**3 + 2*n - 2. Let d(a) = 69*a**3 - 21*a + 21. Let j = -270 + 272. Calculate j*d(t) + 21*h(t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -87. Let o be (-9 + 3)\/p - (-7)\/1. Let r be 1 - (-6 - (-5 + 3)). Solve r*i + o*y = 0, -3*i = -5*i - 4*y + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 h when four letters picked without replacement from hrrrhehrhhrrr.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8073 - -8071. Put h, 0.1, 1\/7, 5, 2\/7 in increasing order.\nAnswer: h, 0.1, 1\/7, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 6*j**2 - 14*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*-6 - (-8)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 7. Let k be i(-8). Let x be 0 - (k - (-1 - -5)). Find w such that -w**2 + w + 5 - x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20))\/((-99)\/(-55))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, 0.1, -0.5, -18014 in ascending order.\nAnswer: -18014, -4, -3\/2, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 41*c**2 + 34*c - 13. Let x be h(14). Let v(y) = -37*y + 35*y + x - 268. Let n(g) = 3 - 1 + g + g. Calculate 4*n(w) + 5*v(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + 8*4*(2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7213420.\nAnswer: 2, 5, 101, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*u = -313*u - 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4311 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14071438 divided by -29?\nAnswer: -485222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (243\/36)\/9 + 85\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 1. Let p(s) be the second derivative of s**4\/3 - s**3 + s**2 + 4*s. Let g be 9\/30*45\/54*4. Let k(h) = g*p(h) + 3*j(h). Factor k(c).\nAnswer: (c - 5)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*q + 417*q - 3094. Solve -216 = 7*u + q*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 4*r - 1. Suppose -23 = -0*l + l - 5*o, 2*l = 4*o - 16. Is q(l) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b5 (base 15) to base 12\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-33)*-1*13\/(65\/20)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*(-25392)\/28566?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -55*y**4 - 11*y**3 - 12*y + 940. Let t(n) = 56*n**4 + 13*n**3 + 15*n - 943. Let v(c) = 6*f(c) + 5*t(c). Differentiate v(q) wrt q.\nAnswer: -200*q**3 - 3*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146346 and 74598.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14574 by -7287.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) 0.3 (c) -1\/14 (d) -0.157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 659448284 bigger than 659448284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:04 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1483*1483.41\nAnswer: 219.989703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137712643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12028 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36\/5 + 16\/5*m**2 - 2\/5*m**3 - 42\/5*m = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(70)*2)\/(sqrt(90)*-5).\nAnswer: 2*sqrt(7)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 24*w**2 + 720*w + 13391. Determine r(-20).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.223 from -3.\nAnswer: -0.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -573, -1144, -1715, -2286, -2857?\n\"Answer: -571*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1103262?\nAnswer: -1103261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 9*d**2 - d + 9.\nAnswer: (d - 9)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*f + 12. Put -4, 2, f in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.108 - -3.108. Which is the smallest value? (a) 4\/5 (b) j (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let y be p(-4). Suppose z = -3*i + y*z - 5, -4 = -4*z. Let b(f) = -46*f**2 - f - f + 45*f**2 + f. Calculate b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*l + l = -5, l - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - ((-50)\/1 + -3). Let h = 12 - 6. Calculate the greatest common divisor of c and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-112) + (-2)\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.89684 milligrams in nanograms?\nAnswer: 20896840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19217785, 38435531, 57653277, 76871023, 96088769?\n\"Answer: 19217746*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -0.5. Let u = -2.7 - n. Let p = -0.3 - -0.2. Sort -2, p, u in decreasing order.\nAnswer: u, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - v - 58, 0 = 4*o - v - 114. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141751362 divided by -6.\nAnswer: 23625227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from mmmmmmurmmmmmrmmmrmm?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 + -2.05. Let r = -3.2821 - a. What is r rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-15 - (-2 + -12)) - -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n - 127*n - 567 = 119*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/29))\/(v*v**6))**(-33)*(v**(5\/4)*v**(3\/8))**(-2\/17) assuming v is positive.\nAnswer: v**(385591\/1972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*q + 144*q - 12 = 0. Suppose 3*y - 4*y + 188 = n, -q*y + 562 = 2*n. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)*-2)\/sqrt(7))\/(sqrt(18)\/sqrt(6)*1) - (sqrt(6655) - -1*sqrt(6655) - sqrt(6655))\/(-2*(sqrt(5) + -2*sqrt(5)))*2.\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/168 and 11\/4?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014877 to five decimal places.\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (186 + -187 - (0 + -8)) - (-6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2*k + 0*k**7 + 5\/56*k**8 + 0*k**2 + 0*k**3 + 0*k**5 + 0*k**6 + 0 + 1\/12*k**4. Find the third derivative of c(a) wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95790253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16 - 2)*(-184)\/69?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:50 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -3*k. Let q(a) = -k*a + 5*a + 4*a. Let i(z) = 2*z. Give q(i(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18613, 37227, 55841?\nAnswer: 74455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3321 divided by 369\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h - 204 = 0. What is the remainder when 171 is divided by (59 + (-1 - 0))*(-34)\/h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2 - -3) + -3)\/(-2). Suppose 0 = 19*v - 29*v + 180. What is the smallest common multiple of (y\/2)\/(3\/36) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - 4*sqrt(162))\/((sqrt(108)*-1)\/sqrt(12)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-65)\/(-10))\/((-1)\/2). Let h = 13 + y. Suppose -3*z - 6 = h, -4*n - 3*z = -0*z - 246. Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29567 times -900?\nAnswer: -266.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b + y, -5*b + 2*b + 18 = -y. Suppose 4*w + 0 = -2*u - 2, -3*u = b*w. Let p be 6\/(-5)*w*20\/12. Sort p, -3, -1.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1294 and 13638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228472 is divided by 5216.\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g + 4*b + 6, -15 = g + 5*b. Suppose -50 = -289*z + 279*z. Solve -4*k = -g*r - 7, 4*k + 21 = k - z*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-22)\/(-8) - 4. Let u(m) be the second derivative of -1\/3*m**4 + 2*m + 0 - m**2 + a*m**3. Let u(n) = 0. What is n?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 611, 4955, 16383, 38321, 74195, 127431?\n\"Answer: 571*a**3 + 116*a**2 - a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3290 is divided by 171?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1061 by -3.\nAnswer: -1061\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 709169 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 230.9 and 41?\nAnswer: 9466.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 + 13*k**2 - k - 9. Let r(o) = 4*o**3 + 12*o**2 - o - 9. Suppose 0 = v - 5*v - 12. Let q(t) = v*c(t) + 4*r(t). Suppose q(n) = 0. What is n?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 6.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 133*y**2 - 125*y + 247. Calculate the remainder when 1592 is divided by d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.5331 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - 0.99. Let m = -1.4 - h. What is the second biggest value in m, 0.1, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*k + 101*k = -20242 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 + 5)) + (17 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0*o - 1\/15*o**7 + 1\/5*o**5 + 0 + 0*o**6 + 0*o**3 - 11*o**2 + 0*o**4. What is the third derivative of g(x) wrt x?\nAnswer: -336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + (-5889)\/52)*-12 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 + (-1)\/(-1)) - -1. Suppose c = -l*c + 124. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/12)\/(57\/(-20)). Let o = 97\/76 - n. Which is the smallest value? (a) o (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*l = 0, 2*y = 6*y - 4*l - 16. Solve -y*g = -5*p - 9, -5*p - 6 = 3*g - 6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - j + 7, 527 - 188 = -2*d - 5*j + 182 + 171 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 3*o + 271. Let n(s) = s**2 - 5*s - 5. Determine n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, 6 in increasing order.\nAnswer: -15, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 11*z = -60. Let g(d) = 17*d**2 - 11*d + 35. What is the remainder when g(2) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31781*w**3*z + 3*w**2 + 120293*z - 8 wrt w.\nAnswer: 95343*w**2*z + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1248 (base 10) to base 9.\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 11. Let o = 0.1 + -0.2. What is the second biggest value in n, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -893 times 0.25?\nAnswer: -223.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - n + 3*u + 12, -30 = -5*n + 2*u. Suppose -248 = -10*v + n*v. Let q = v + -60. Calculate the smallest common multiple of 11 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 11*j**2 - 9*j - 14. Let m(d) = 2*d**3 - 21*d**2 - 18*d - 27. Let w(b) = 6*m(b) - 11*n(b). Does 7 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 212 = 4*t, -2*t = 3*c + 3*t - 163. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 898 + -34111\/38. Calculate the common denominator of 48 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 19 - 49 = 0. Solve 4*k - 2*j + 8 = 0, k - q*k + 5*j = 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353559?\nAnswer: 3, 67, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 - 2*v + 3. Let m(x) = x**2 + x - 1. Let y = -152 + 149. Calculate y*m(b) - w(b).\nAnswer: b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:17 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 10. What is i(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**4 - 6*t**4 - 189*t**2 - t**5 + 203*t**2 + 78*t wrt t.\nAnswer: -20*t**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2654, -2653, -2652, -2651?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 - 126\/(-6) - 4. Let k(w) = w**2 + 2*w - 34. Determine k(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 31 = d. Calculate the remainder when d is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 87*m**2 + 151*m + 2249. Determine d(41).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 14*o**2\/5 + 39888*o - 4756320.\nAnswer: -2*(o - 180)**2*(o + 367)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 - 0.1537056.\nAnswer: 30.8462944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 83 + 60 = 0. Let z = 7 + 36. What is the remainder when z is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200.93 - 200. Let v = -0.05 + r. What is v rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000096036 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3506.85828 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 9*x**2 + 19*x + 29. Let l be m(-7). Let f(u) = 12*u**2 + 13*u + 18. List the prime factors of f(l).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let k(j) = -342*j. Determine l(k(f)).\nAnswer: -233928*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 - -3200?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103322030 (base 4) to base 9.\nAnswer: 133768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7440, -14883, -22326, -29769?\nAnswer: -37212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99610 divided by 49805.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 - -6.9. Let i = -2\/77 - -87\/385. Which is the nearest to -2? (a) n (b) i (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:19 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:16 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*c - 22, -5*b + c = -5 - 5. Calculate the remainder when (b + 10\/6)*(-66)\/(-4) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 34*q**2 + 57*q - 1998. Give z(34).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -27\/1382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*c**3 - 109*c**3 + 489*c**3 + 540*c**3 + 5*c**3 - 4*c**3 + c**3 + (1 + 1 - 3)*(2*c - 2*c - 2*c**3) in the form q*c**2 + r + v*c + k*c**3 and give k.\nAnswer: 1193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 8 - (17 - 10)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 42238098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + -2*6*(-4 + 6*(sqrt(1900) + 1 + sqrt(1900))))**2.\nAnswer: -78797682 - 120960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2009.96 + -1952. Round k to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/5*(1 - 136) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c**2 + 5*c**2 - c**2)*(-c**2 + 0*c**2 + 3*c**2) + 29*c**4 + 62*c**2 - 28*c**4 - 89*c**2 - 11*c to n + r*c + s*c**2 + f*c**4 + i*c**3 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6243740 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -547.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*d + 5 = 2*u, 4*u - 5*d = 33. Let g(c) = -2*c + 8. Let i be g(u). Let x be (9\/(-4))\/(i\/32). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 337, -1, -2\/9 in decreasing order.\nAnswer: 337, 222, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -11, -6, -4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002043 to six dps.\nAnswer: -0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 10*h - 20. Let y be b(-6). Let n = -152 - y. Solve n = -3*x - 9 + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163306 and 115167?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33\/8 (b) -38\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*w**5 + 65*w - 162*w + 78*w - 2 wrt w?\nAnswer: -2400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34 - -30) + (1 - -7). Does 38 divide l\/(-4) - 2\/2*-77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - f**2 + f. Let t(c) = -2*c**3 + 8*c**2 + 3*c + 17. Let y(m) = a(m) + t(m). Is y(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221012102 (base 3) in base 13?\nAnswer: 14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -3 (b) 0 (c) -1\/612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:25 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 14. Let n = 9 + j. Suppose 69506 = 2*h + 3*h - 3*c, -4*c - 8 = n. Round h to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -2, -0.229, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1.6. Let f = 5 + -6.3. Let v = f + 0.3. What is the closest to v in -0.3, a, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q + 16. Let j be c(5). Suppose -2*i = f - 20, -3*i - f - 9 + 37 = 0. Calculate the highest common factor of j and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 482*j - 5556 + 38 + 698 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-g**2 - 17*g**2 + 2*g**2)*(1 - 1 - 2*g) - 3*g**3 + g**3 + 4*g**3)*(-14 + 18 + 21) in the form j + a*g**2 + k*g**3 + h*g and give k.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6645208 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - ((-4 - -7) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-2)*4\/(-5). Let q be -5 - (-14 + 3 + 3). Let i = -9 - -4. Which is the smallest value? (a) x (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from mmqfmffqfmmsm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/9 (b) -0.3 (c) 19 (d) 1\/5 (e) -37\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**2 + 36*o**5 - 15*o**5 - 701*o**3 + 701*o**3 wrt o?\nAnswer: 1260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244105639?\nAnswer: 47, 5193737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/93)*z*z**16 assuming z is positive.\nAnswer: z**(1579\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/5 - 29908*u**2\/5 + 29907*u\/5 = 0.\nAnswer: 0, 1, 29907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 4:35 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69 and 0.1122.\nAnswer: 69.1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224370 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f\/(f\/f**(-1\/6)))\/f)\/f**(-1\/9))\/(f**(1\/2))**(-2\/99))**(-17\/2))**(-3\/8) assuming f is positive.\nAnswer: f**(-51\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 3:52 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 65. Solve -o - v = -5*d - 3, 4*o - 5*d = -45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12498 or -69652?\nAnswer: 12498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248497, -248494, -248491, -248488, -248485, -248482?\nAnswer: -248479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5293*(-11 - (-18 - -8))?\nAnswer: 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -8, 146, 3 in descending order.\nAnswer: 146, 5, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + (-1 - -5 - (10 + -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbl when three letters picked without replacement from bbabiaabbbbgqaabbali?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 50\/3. What is the closest to 2\/9 in -5, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11222000222010 (base 3) in base 6?\nAnswer: 132314003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/45 and 73\/61980.\nAnswer: 185940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 14. Let r be k(9). Let s = 1 + r. Let c(o) = -2*o**3 - o**2 + 12*o. Let t(v) = -v**3 + 6*v - 1. Let w(l) = 3*c(l) - 5*t(l). Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -0.3, 5270, 12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffffffv. Give prob of picking 3 f and 1 v.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-18))\/a))\/(a*a**(-39)) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/5)\/((506\/2805)\/(-23)). What is the highest common divisor of x and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230 - -228. Which is smaller: b or -1.7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.21 + -0.79. Which is the closest to 2? (a) 2\/3 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -423 + 420.83. Let a = j + 2.3. Let f = a - 0.129986. Round f to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2496 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*b - 2*b - 55 = 0, 4*b = 5*h - 180. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-5*-1 + sqrt(57)\/sqrt(48) + sqrt(19))**2 + 1.\nAnswer: 11891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 5*o. Let u(w) = -w**2 - w. Let k(h) = 2*d(h) + 10*u(h). Let g(a) = 2*a**2. What is g(k(l))?\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 - 897 = -3*k - 24*k. Calculate the remainder when 1402 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -18*v**3 + 2*v - 4. Let j be o(-6). List the prime factors of ((-9)\/18)\/((-8)\/j).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0 + 0*c**5 + 2\/15*c**6 + 1\/2*c**3 - c + 0*c**4 + 0*c**2. Find the second derivative of y(v) wrt v.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + c - 25, 22*c = 8*a + 26*c - 60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**2 + 38388*i - 24846008 = 0.\nAnswer: 698, 8899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/6 + 5149*x\/6 - 1272317 = 0.\nAnswer: -6351, 1202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141.34 + -137.34. Let k be (-8)\/117 + 4\/18. Let h = -1090\/7 + 156. Put 5, h, d, k in decreasing order.\nAnswer: 5, d, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122234114 (base 5) to base 15.\nAnswer: b8cde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 - 25*z**2 + 12*z + 10. Let m(i) = 21*i**3 + 124*i**2 - 59*i - 51. Let s(k) = -2*m(k) - 11*n(k). Is s(-8) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(5\/2)*r))*r*r**(-3))\/(r*r**(-3\/4)*r**1))**(8\/9) assuming r is positive.\nAnswer: r**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**3 - 12*j**2 - 5*j - 3. Let x(h) = -h**3 + h**2 + h + 1. Let w(s) = g(s) + 6*x(s). Is w(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(((-336)\/(-8))\/(-6))\/5*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 13*t + 4*t + 6*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 13245.612133.\nAnswer: 13246.112133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/4194 and 2\/63.\nAnswer: 29358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 104*m - 1247 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 164502, 164514, 164526, 164538, 164550?\n\"Answer: 12*p + 164490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672.6ng in milligrams?\nAnswer: 0.0036726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 11:21 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:28 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b + 1. Calculate u(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 8:23 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - (-3 - 0 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -5*p - 22, -5*p - 40 = -5*u. Solve 3*o + 2*x = u, -1 - 5 = 5*o - 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a factor of 652179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 4*i**5\/5 - 530*i**4 + 92924*i**3 + 281960*i**2 + 283024*i + 2131. What is b in f(b) = 0?\nAnswer: -1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1412, -1411, -1410, -1409, -1408?\nAnswer: -1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 2*c - 3*c)*(-3*c**2 + 0*c**2 + 0*c**2) - 2 + 2 + 8*c**3 to the form t*c**3 + a*c + b + j*c**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 55 - 24 - 16*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2 = -8. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4 - j - 5 + j**2 - 3. Suppose 4*i - 9*i + d = 225, -4*d + 196 = -4*i. Let r be 24\/i*44\/(-6). What is x(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let l(b) = -2*b - 4*b + 4*b. Calculate l(q(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - 39\/210. Let q be ((-65)\/(-15) - 8\/2)*-1. What is the closest to q in -1\/4, i, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/(-4))\/((-2)\/8). Let n be (-14)\/35 - 67\/(-5). Calculate the highest common divisor of n and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -6, -5\/2, 0.3, 0.01, 3\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -471966.01 to the nearest 100.\nAnswer: -472000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = 4*o - 11, -5*u + 4*o - 6 = 0. Let i(t) = -u - 2 - t**3 - 6*t + t + 8*t**2. What is the smallest common multiple of 18 and i(7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1682254 and 23\/22.\nAnswer: 18504794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 + 39505*h - 19981530 = 0. Calculate h.\nAnswer: -8378, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 29. Which is the biggest value? (a) u (b) -0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -36. Let b = -1 + 8. Suppose -9 = -4*c + b. Calculate the remainder when a is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*c - 5*c. Suppose c = -s + 5. Let q be 1 + (-3 - -3) - 0. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637391 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u**2 + u + (-2 + u + 2)*(5*u - 2*u - u) - 2*u**2 - 3 + 3 + 2*u**2 - u + u)*(-3*u + 6*u + u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 - 610*d**2 + 2988*d + 3600 = 0.\nAnswer: -1, 6, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) + -3)*-2 - sqrt(684))*4)**2.\nAnswer: -3456*sqrt(19) + 99072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110100111001110 (base 2) in base 4?\nAnswer: -32213032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 104842 divided by 2759\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - y - 141 = -g, 4*g - 199 = 5*y. Suppose -g = -5*k + 44. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188.24990588056 + 0.24990389056. Let o = y + 188. Round o 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 8459 is divided by 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 7.97. Let w = -7.7 + g. Let b = 4 + -9. Sort w, 3, b in descending order.\nAnswer: 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -179, -219, -259, -299, -339?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6172*f**2*s - 363025055*f**2 - 9864*f*s wrt s.\nAnswer: -6172*f**2 - 9864*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - l)*(0 + 0 - 2)*(-2*l**4 - 42*l**4 - 12*l**4) + 0*l**5 - 2*l**5 + 0*l**5.\nAnswer: -226*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -1.1. Sort -0.3, -38, f in decreasing order.\nAnswer: -0.3, f, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2211?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2012 by -2.\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3*i**5\/20 + 11*i**4\/4 + 20*i**3 + 72*i**2 - 75*i + 109. Let t(h) be the first derivative of v(h). Factor t(y).\nAnswer: 3*(y + 3)*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Suppose -3 = 3*h + w. Is 22 a factor of (-655)\/(-10) + (-1)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38109, 76222, 114333, 152442, 190549, 228654?\n\"Answer: -n**2 + 38116*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3671 - -3881. Calculate the highest common divisor of s and 2814.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 26 = -v + 6*v, 3*q = -2*v - 6. Let b(t) = t**3 + 7*t**2 + 5*t - 2. List the prime factors of b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29482*p**2 - 29454*p**2 - 15*p - 4*p**3 + 58936*p**2 - 8*p.\nAnswer: -4*p**3 - 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9663.\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y\/(y*y**(6\/19)))*y))\/y)\/y**(3\/13))**40 assuming y is positive.\nAnswer: y**(-15280\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 61 = -3*t. Calculate the common denominator of 73\/14 and 2\/10 - t\/(-4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 105336 + 40464 = 0. Does 81 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 145. Suppose -j + g = 5*k - 90, 2*j = -4. Suppose k*c - 42*c = 0. Solve 0*i - 4*i = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b961 (base 16) in base 4?\nAnswer: 1123211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 1 + 3 - 3. Let r be b(0). Let h = 6292.82 - 6293. Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from iiizikpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110002102020 (base 3) in base 7?\nAnswer: -2010516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 8953*h + 89327. Calculate k(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {a: 7, g: 1, x: 7, y: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -11*i**2 + 4 - 24*i - 15*i + 65*i**2 + 2*i. Is a(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 54, 81?\n\"Answer: 27*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**4\/12 + 7*d**3\/6 + 3*d**2\/2 - d. Let s be w(-7). Let u(y) = -3*y - 5 + 4*y + 0. Determine u(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, k: 1, i: 2, m: 4, c: 3}. What is prob of sequence ikc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:37 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 - -3169672?\nAnswer: 3169902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*z = 0, -8*r = -6*r - 2*z + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083498283 rounded to 5 decimal places?\nAnswer: 0.0835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**5\/5 - 33*x**4\/4 + 20*x**3 + 48*x**2 + 88. Factor i(y).\nAnswer: 3*y*(y - 8)*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 60 = 402. Calculate the greatest common divisor of 189 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(91) - sqrt(91)*3) + sqrt(91))*4 - sqrt(91))\/sqrt(7) + (sqrt(13) + sqrt(208)*-2 + 5)**2).\nAnswer: -150*sqrt(13) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78562836.\nAnswer: 2, 3, 11, 198391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3555 (base 9) in base 15?\nAnswer: -bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -8\/73, -2\/93, -4 in decreasing order.\nAnswer: -2\/93, -8\/73, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -179. Let j(p) = 31*p**l - 84*p**2 + 28*p**2 + 31*p**2. Let m(t) = 2*t**2. What is j(m(h))?\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 314\/(-420) + (-62 - -52)*(-16)\/192.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 128*l**2 + 2051*l + 40. Determine f(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5)\/(7\/105). Suppose -3*r - s = -4*d + 9, r - 2*d + 5 = 0. Suppose -q + 15 = 2*q. Sort q, r, -4 in decreasing order.\nAnswer: q, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-4*t**3 + 0*t**3 + 2 + 9*t**3).\nAnswer: -5*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 648 and 28670328?\nAnswer: 86010984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 139\/524 - (130\/8 - (109 - 93))\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 5*x**2 - 2*x**2)*((-1 + 1 + 2*x**3)*(3 + 4 - 4) + 9*x**3 - 124*x + 124*x).\nAnswer: -90*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/5670*-6*-21 - (-3)\/15. Factor -4*b**3 + x*b**4 - 16\/3*b + 8*b**2 + 0.\nAnswer: 2*b*(b - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(8) - sqrt(2)) + -4)**2 + 5 + (1*sqrt(200))**2.\nAnswer: -10*sqrt(2) + 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2638 * -0.3\nAnswer: 791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 - 172. What is the third biggest value in -0.3, h, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -49 - (3383 + -3535)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8184397 less than -27?\nAnswer: -29.8184397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 70 = 2*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/3837?\nAnswer: 13\/3837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/60 + l**4\/6 + l**3\/2 - 3*l**2. Suppose 0 = 5*q + 5*m - 40, 3*q + m = -m + 22. What is x(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677411 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)**(-6\/7))**(-46)\/((b**(-1\/2)\/b)\/(b**0*b)*(b**(3\/4)\/b)\/(b\/((b\/(b*b\/(b\/b**(-2))))\/b))) assuming b is positive.\nAnswer: b**(1181\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/12)\/((-4)\/24). Suppose 67 = 5*o - a, 6 = -2*o + n*a + 19. Suppose -t + o = t. What is the highest common factor of t and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341651 divided by 31?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -42, -67, -94, -123, -154?\n\"Answer: -y**2 - 20*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 8*v + 20. What is the remainder when 6 is divided by 13\/4 + 1\/v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:45 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 73638.6 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 892.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 5. Let b be l(9). Suppose -b + 25 = -3*r. Put 3, 0, r in descending order.\nAnswer: 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 12*v + 26. Let i be o(11). Let p = 108 + i. Suppose 0 = -4*k - 5*b + p, -4*k + 2*b = -2*b + 12. Solve -2 - k = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*f*f*f**(-2\/15)*f\/(f*f**(-4\/5))*f**2\/f assuming f is positive.\nAnswer: f**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -179086 at most as big as -179086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*p = -470, 4*c = -6*p - 218 + 131 - 475 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/7 - 232*s**3\/7 - 9120*s**2\/7 - 127072*s\/7 - 219488\/7.\nAnswer: -2*(s + 2)*(s + 38)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -26*f + 668. Give o(25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 7*t - 6. What is s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -32, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**3 + n - 1. Let l be a(-2). Suppose l = 2*y - 5*j, -2*j = 2*y - 7*y + 41. Solve 4*m + y = -3*o, 2*o - o + 5 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.3 (c) -595 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -l - 5, -3*p - 11*l + 15*l = -10. Let q(o) = 13*o + 9. What is the remainder when q(p) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 16. Let p be a(7). Let g be 2\/2*4 + -2. Suppose -n = -11 + g. Calculate the highest common divisor of n and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 2*sqrt(1900)*5)*-4 - (4 + 5*(sqrt(1900) - (-1 + sqrt(1900)))))**2.\nAnswer: 7920*sqrt(19) + 3678481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 46*v. Let m(r) be the first derivative of r**6\/120 + 16*r**3\/3 - 3*r**2 + 137. Let f(j) be the third derivative of m(j). Determine u(f(g)).\nAnswer: 138*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78 - 107 - 25*w - 261 wrt w?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2\/7 - 48*f\/7 - 165\/7 = 0.\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3386 and -0.3.\nAnswer: 0.10158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12 + 18 - 1001*a**2 - 9*a + 1002*a**2. Give d(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17449 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -8*z**5\/5 + 23*z**4\/3 + 70*z**3\/3 + 8*z**2 - 244*z. Let w(x) = 0. Calculate x.\nAnswer: -1, -1\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16566\/833 or 20?\nAnswer: 16566\/833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*1*-4 + 2 + sqrt(931) + -2.\nAnswer: -41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*sqrt(119))\/sqrt(7) + sqrt(170)\/sqrt(10) + -3)**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 + 25*j + 13. Let b(m) = m**3 + 2*m**2 + m + 2. Let l = 16 - 19. Let x be b(l). What are the prime factors of s(x)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 100. Solve -4*l - 10 + w = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-4)\/((-16)\/(-12)) + 18. Suppose 0 = -b*h + 16*h - 192. Suppose -48*o + h = -47*o. What is the highest common divisor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 34 + 2*r**5 + 17 + (-r**2 + r - r)*(3*r**3 + 0*r**3 + 3*r**3) + r**5 - r**5 + 2*r**5.\nAnswer: -2*r**5 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 8:21 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3156, -3897, -4638, -5379, -6120, -6861?\nAnswer: -7602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27296, 27292, 27288?\nAnswer: 27284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 4545*u**3 - 4550*u**2.\nAnswer: 5*u**2*(u - 910)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7)*-2) - (sqrt(5) + sqrt(45) + 2)) + 0.\nAnswer: -9*sqrt(5)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 19560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:05 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2 (b) 0.1466 (c) -9 (d) -1\/7 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 10) + 23 + -7 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5126*n. Let y(q) = 84*q - 1. Determine y(l(b)).\nAnswer: -430584*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180 + 452. What is the remainder when (3\/(-6))\/((-4)\/x) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 33*g**5\/20 + 3*g**4\/4 + 7*g. Find the third derivative of b(v) wrt v.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/((-4851)\/14))\/((-3)\/(-18))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(20)\/(sqrt(20)\/sqrt(5)))*-4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*136\/((-18768)\/138)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 and 191\/107372040.\nAnswer: 107372040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 646 = -620. Suppose -216*z + d*z = 120. Let n = z - -28. Solve n = 4*t - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 107*k + 4. Let y(u) = 2*u**2 + 323*u + 14. Determine 7*q(z) - 2*y(z).\nAnswer: 3*z**2 + 103*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - 126. Let m = s - -220. What is the closest to -6 in m, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - p**2 - p**2 + 128*p**3 + 799 - 37.\nAnswer: 128*p**3 - p**2 + 762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 33 - s**2 + 16*s - 2*s**2 - 29 + 7*s**2. Calculate the smallest common multiple of o(-4) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, -2, 2, 1195, -1 in ascending order.\nAnswer: -2, -1, 2, 4, 23, 1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125786469?\nAnswer: 1259, 894191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**2*l**6 - a**2*l**2 - 3*a**2*l - 1261*a*l**2 + 8*l**4 - 8801*l**3 + l**2 + 3 wrt l?\nAnswer: 600*a**2*l**3 + 192*l - 52806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -702 - -707. Sort -0.05, p, -1.3, -2\/17.\nAnswer: -1.3, -2\/17, -0.05, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -10*p + 5*p. Suppose -2 = 4*a - p. Suppose -a*m + 56 = -9. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*z - 4*z + 472, -5*z + 5*w = -605. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -1.3, 2\/5, 5, -2\/79?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 + 257. Calculate the greatest common factor of 195 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/3*a**3 + 10\/3*a**4 + 1024\/3 - 80\/3*a**2 + 640\/3*a - 1\/6*a**5.\nAnswer: -(a - 8)**3*(a + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 25 = -3*v + 3, 14 = -v + 4*n. What is the remainder when ((-1)\/(-3))\/(1\/33) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -50. Suppose 0 = -2*k - 4*q - 2, h*k - 21 = -3*q + 9. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*j + 4 + j)*(-4*j**2 + 5*j**2 + 6*j**2) to i*j + b*j**3 + w + c*j**2 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367830.\nAnswer: 2, 3, 5, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -33*g + 9. What is f(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -1560517?\nAnswer: -156051b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 11:51 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4026, -2, -3 in descending order.\nAnswer: 4026, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524646 is divided by 524635.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(2) - sqrt(24)\/(sqrt(36)\/sqrt(3))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(425)*-1)*-3 + 0 + -1)*-4)**2.\nAnswer: 2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*y + 38, -y - 14 = 2*y - 5*n. Let r(d) = 2*d + 25. Let w = -208 + 867\/4. What is the common denominator of r(y) and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-24)\/(-4)))\/((-45)\/6)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-11)\/o*o*o**(-2\/55)\/o*o)\/(o**(-20)\/o)**20 assuming o is positive.\nAnswer: o**(22603\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 + 6*l - 17. Let s be t(2). Suppose 2*y - 136 = -s*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = 4*w. Let b be (-355)\/5 - (w + 3). Let a be (b\/5)\/((-2)\/25). What is the greatest common factor of a and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**2 + 3*h + 2. Let n be c(-1). Suppose n*x = 8*x + 12. Solve -2*m - 29 = -6*m + 5*g, 0 = -x*g - 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p. Let v(b) = 8*b**2 + 11*b + 11. Let t = -26 + 37. Let i(z) = -4*z**2 - 6*z - 6. Let c(s) = t*i(s) + 6*v(s). Determine c(f(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*a + 38, -2*a + 5*u + 19 = -13. Let d be (-6)\/(-21) - (-12)\/7. Solve d + 5 = -q + 2*n, 0 = 3*q - n + a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(209)\/sqrt(176)) - ((sqrt(171) - -1*(sqrt(171) - sqrt(171)*1)) + sqrt(171))\/(sqrt(1296) + 2*sqrt(1296)).\nAnswer: 7*sqrt(19)\/36 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 9*y**2 + 2*y + 13. Let x be s(-9). Let j be (-2)\/(x\/(30\/(-4))). What is the units digit of (-27)\/j - 4\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**4\/a))\/(a*(a*a*(a*a\/((a\/((a**(-2\/5)*a)\/a))\/a))\/a)\/a))\/(a**2\/a**1) assuming a is positive.\nAnswer: a**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/4 + 7*c**3\/6 - 2*c**2 - c. Let z be 4719\/(-572) - 2\/(-8). What is the units digit of v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*k + 12460 = 253*k - 32*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + 0 - (16 + -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**3*n**3 + 5*m**3 - 47*n**3 - 28*n**2 wrt n?\nAnswer: -12*m**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2050 = 22*f - 7432. Let d = 541 - f. What is the remainder when d is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16743 (base 13) in base 10?\nAnswer: -42981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooooqo. Give prob of picking 2 o and 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z**(2\/41))\/z*(z*(z*z*z**(32\/3)*z)\/z)\/z*z*z)**(6\/13))**(-12))**28 assuming z is positive.\nAnswer: z**(-1298976\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*l + 40 = 0, -6*l + l + 20 = 0. Suppose 0 = -4*f + 4*o + 4, -6*o + 2*o + 28 = 4*f. Put f, s, -7 in increasing order.\nAnswer: -7, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 - -108. Suppose -3*p + 5*x + 996 = t, 7*p = 4*p + x + 984. What are the prime factors of p?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987979.8 milliseconds to seconds.\nAnswer: 987.9798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 258 + -113. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 556, 1128, 1716, 2320, 2940?\n\"Answer: 8*m**2 + 548*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55588, -111835, -168082?\n\"Answer: -56247*h + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8533550 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((39\/3)\/(-117))\/(98\/63).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1218 - -2209. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = -4*z, 4*z - 9*z = 3*q + 12. Let k be (1 + (-3)\/6)*z. Solve 4*r - 3*g - 2 - 3 = k, -r - 20 = -5*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 364 = -12*k - 14*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -238172 divided by -21652?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 15*s = 0. Is s <= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028411522 to the power of 1\/2, to the nearest integer?\nAnswer: 70911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5000561*c**2. Let h(l) = 4*l**2. What is h(j(u))?\nAnswer: 100022441258884*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 13 = 45. Calculate the lowest common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3) + 0)\/2. Let l = -2049.719 + 2051. Let x = l + -1.481. What is the biggest value in -4, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b - 2*b**2 + 3*b)*(-1 + 1 - 2) + (3 - 3 + 1)*(2 + 2*b**2 - 2) in the form r + n*b**2 + c*b and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + sqrt(243) + -2*sqrt(243) - (sqrt(243) + 1)*2 - (-1 + -3 + -5*sqrt(243)))*4)**2.\nAnswer: -63808 - 11520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))**(21\/2)*(x\/(x**3\/x))**(-16) assuming x is positive.\nAnswer: x**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**4 + w**3 - w - 1. Let b(y) = -9*y**4 - 7*y**3 + 24*y**2 + 19*y + 3. Suppose 31*u = 22 + 9. Let f(n) = u*b(n) + 3*s(n). Let f(x) = 0. What is x?\nAnswer: -2, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24837 (base 16) to base 7.\nAnswer: 1162014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14359176 and 1237860.\nAnswer: 71795880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2898.8 + 2898. Which is smaller: 394 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*v**4 - 2616*v**3 - 50991*v + 27 wrt v.\nAnswer: 2004*v**2 - 15696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Suppose k*n - 4*o = 68, 5*n = 3*n + 4*o + 44. What is the greatest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26526 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -50. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a + 25. Suppose -6*z = a + 207. Is z smaller than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*v + 3137, -a - 141 = 2*v - 778. What is the greatest common divisor of a and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 741, 765, 789, 813, 837, 861?\n\"Answer: 24*h + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4950 = 5*k - f, -f + 4 = 0. Let h = k - -44. What is h rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4850 = 2*h. Is (-2)\/7 - h\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*p + 390 = 450, -32 = -2*w - 2*p. Solve -z - 3*z + w = 2*g, -3*g + z = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbzszjsojosbojssozs. What is prob of picking 1 s and 2 z?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from mhmhhmmhhmhmhm?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 785338 to the power of 1\/2, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, f: 4}. What is prob of sequence fm?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 323715 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from cwtgzbz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7028864553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 8. Let a = b - 2. Let z be 8\/a*45\/6. Solve -4*p = -g - 18, 2*g = 3*p - 6 - z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/6*(-27)\/36. Suppose -4*m - 108 = -v*l, -2*l + 2*m + 278 = 3*l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2947, -7439, -11931, -16423?\n\"Answer: -4492*m + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11868838*k**3*p**3 + k**3*p**2 + k**3 - 81692*k**2*p**2 - 5*k*p**3 + 12 wrt k.\nAnswer: 71213028*p**3 + 6*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8696064 by 129792.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9171920 is divided by 94.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 15*d**2 - 6*d - 18. Let n be v(16). Suppose 0 = w + 4*y - n, -3*w + 274 = -w + 3*y. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-5) - 6\/(-30). Let g be 13\/4 - a\/(-8). What is the first derivative of -4*o**4 - 29*o**g + 29*o**3 - 3 wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.24752 to zero dps.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/32 - ((227227\/(-176))\/(-91) + -6 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:48 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 4. Let x be 3\/12 - 7\/(-4). Suppose s - 66 = -x*s. Calculate the remainder when s is divided by u(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4da70 (base 15) to base 3.\nAnswer: 110122012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 22*s + 845. Let l be t(42). Put 2, l, 0, 30, 1 in decreasing order.\nAnswer: 30, l, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/219, -5, -36, 1.5, -4, 42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6\/13, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36198\/5 or -0.2?\nAnswer: -36198\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 0*f - 37*f**3 + 32*f**3 - f.\nAnswer: -5*f**3 - f + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/9 + 251882*h**3\/9 + 2266999*h**2\/9 + 5037820*h\/9 = 0. What is h?\nAnswer: -5, -4, 0, 251891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-6 + 87)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-65)*(522\/(-116))\/((-6)\/(-40))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5 + 1420*y**4 - 7216*y**3 - 5584*y**2 + 63168*y - 69120 = 0.\nAnswer: -360, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 + 5*t - 2. Let r be u(-5). Let j = r + 31. Suppose 3*h - 364 = y, 0*y - 488 = -4*h + j*y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 691 + -696. Let u(q) = q**3. Let t(l) = 35*l**3 - 4*l - 1. Let o(f) = j*u(f) + t(f). What is the second derivative of o(b) wrt b?\nAnswer: 180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + (sqrt(972) - (sqrt(972) - (1*sqrt(972) - sqrt(972))))*-2)\/(5*sqrt(24)*1))**2.\nAnswer: 81\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 + 4. Let z be n(-2). Suppose 58*o - z = 49*o. Solve 0 = -2*u - b + 3, -3*u + 28 = -u - o*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((6*-1)\/3)\/2. Let f = i + 11. Let h = 32 - f. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -35*r**2 - 378*r + 1011. What is q(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32458141?\nAnswer: 32458141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 + 107*u**4\/6 + 11449*u**3\/6 - 360*u. Factor v(z).\nAnswer: z*(z + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.379*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13882 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*f - 41 = -3*z + 205*f - 388*f, 225 = -5*z + 5*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89300330*s**3 - 218971*s**2 + 5*s.\nAnswer: 535801980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 27398553.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(85) - ((-3*sqrt(85) + sqrt(85) - sqrt(85) - sqrt(85))*4 + sqrt(85)))\/((-2*sqrt(25)*2)\/(sqrt(720)\/sqrt(9))))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 635218674 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/16355? (a) 0.5 (b) -0.2 (c) 0.4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.4, -6, -1, 82\/51, 3, -4, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10829*k + 5 + 10511*k - 6 - 21339*k.\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/16415 and 16\/28967785.\nAnswer: 202774495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457974935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 23 + 2*a**3 - 25 - 23.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004759753 to 6 decimal places.\nAnswer: 0.00476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147654113 is divided by 24609017?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 632 + -7561\/12. Find the common denominator of (-1 + (-34)\/(-30))*1540\/48 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -631\/8 + 79. Suppose 0 = 5*u + m - 4, 3*m + 7 = 3*u + 1. What is the closest to -1\/2 in c, 0.4, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1016.855108351 and -883.\nAnswer: 133.855108351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155501 is divided by 38579.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - -28. Let w = k + -121.99999971. What is w rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(5) + -2)*3 - 5*(sqrt(20) - sqrt(160)\/sqrt(8)))**2.\nAnswer: -30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10035282099 - -11654?\nAnswer: -10035270445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2 - 66448726*j - 56830200?\nAnswer: -4*j - 66448726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -1 + 0\/1. Suppose 4*z + 2 = 6. Suppose d - i = -z. Solve -m + d = w + 10, 3*m + 15 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -157, -235, -313, -391, -469?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 1 = 0. Is 3 a factor of q\/((-4)\/(-36)*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002673475 to 6 dps.\nAnswer: -0.000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 + 0 - 4*x - 7*x - 2 + 0. Let i be (37\/(-3) - -1) + (-3)\/(-9). Let d(f) = 4*f**2 - 6*f - 1. Give i*d(g) + 6*s(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/72*-38 + (-1)\/6. Is (8\/(24\/(-69)))\/((-2)\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -137. Let z be (-8)\/x - 2\/(-5). Let j = -0.1 - -0.1. Is j less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-658)\/3969 - 82\/3321)*(-123)\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64\/5 + 694\/55. What is the closest to -1 in 2\/5, -0.5, m, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -5*n + 10, -n + 2*f + 2 = 0. Suppose 2*k - 3*a + 35 = 201, 4 = -n*a. What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**2 + 15*r. Let p be c(-10). Suppose 2*j = p - 296. Suppose -6*u + j = 19. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -55, -2\/3 in increasing order.\nAnswer: -55, -2\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let g be 28\/(-49)*(-14)\/(-60). Which is the nearest to j? (a) -5 (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.2. Let i = 62111 - 62110. Which is the closest to 0? (a) o (b) i (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -1*sqrt(192) - (3 + (sqrt(192) - (1 + sqrt(192)) - sqrt(192)) - (-4 + sqrt(192) + -1 + sqrt(192))))**2.\nAnswer: -32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73402307*x + 30*x**2 + 18*x**2 - 36701155*x - 36701152*x - 8*x**2.\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - v - 3*v + (-2*v - 2*v + 2*v)*(-2 + 1 - 1) + 0 + 0 + 4*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*r**3*u**2 - r**3*u + 104*r**3 - 157*r**2*u**2 + 2*r*u**2 + 23074*r + 14*u**2 wrt u?\nAnswer: -86*r**3 - 314*r**2 + 4*r + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4373 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 8694\/12. Let o be 4\/8*y\/(-2). Suppose 2*q**2 - 180*q + o*q - 3*q**2 + 2 = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2*y - 7. Let x = 11 + 5. Suppose -r = 3*r + x. What are the prime factors of w(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from rtxxxtzrxrjtxxrtj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 5535?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13)*-1 + -1 - ((sqrt(117) - (sqrt(117) + 1 + sqrt(117) + sqrt(117))) + -3)**2.\nAnswer: -485 - 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14875686 divided by -18?\nAnswer: 826427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (-2 - 31 - -36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131437225081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 - (-4 - 3 - -12). What is the derivative of 22*v - 88*v - 123 - o*v wrt v?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viitiihyioitvty. What is prob of sequence hotv?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.7. Let h be 3 + -3*(-5)\/6. Let q = -5 + h. Which is the closest to q? (a) -4 (b) z (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213222201 (base 4) to base 11.\nAnswer: 101076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 350\/(-30) - -11 - (-102)\/18. Solve 5*u + 5*v - 5 = 0, -36*u + 35*u + r*v = -13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 1, 11, 2\/7, 396?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -7*q**4\/5 - 121*q**3\/5 - 244*q**2\/5 - 12*q = 0.\nAnswer: -15, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67533013 to the nearest integer?\nAnswer: 8218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*s - 106*s - 34*s.\nAnswer: -247*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*l + 17 - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -32 + 32 - 4*g. What is x(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*y = -2189138 + 2205008 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15550?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 - 3. Let q = 75 + -72. Suppose -5*t - q*y = 14, t + 4*y = -4*t - 17. Let i be k(t). Solve z = i*s + 21, 2*z - 2 = -0*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2925\/44 - 470\/11. Calculate the common denominator of -71\/9 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 420393 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 28*h + 15. Let r be k(14). Let f = -13 - -17. Suppose -f*x = -r - 5. Solve x*y + d = 2*d + 15, -5*y - 2*d + 30 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 34 + 5)*(3*v - 2*v + 30 - 28) to the form j + g*v and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:25 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.051 or -9\/169?\nAnswer: -9\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*z - 238*z - 53*z**2.\nAnswer: -53*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((18\/54)\/((-1)\/(-1)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-15 - -12) - 20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/80 and 127\/25870.\nAnswer: 206960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, -2\/9, 26.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(sqrt(108) + -1 + sqrt(108) + 4) - ((-1*sqrt(108)*-5 - (-2 + sqrt(108)*1 + sqrt(108))) + 4))**2.\nAnswer: 1092*sqrt(3) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -16.9. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1314487505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:01 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 342259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - 261\/(-6). Suppose w = -3*w + y. Suppose 5*c - k - w = 0, k + 3*k - 31 = -5*c. Sort -0.4, c, 0.4 in decreasing order.\nAnswer: c, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - j - 22 + 8 = 9, 0 = -6*j + 5*j + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2\/7, 0.5, -3, 892, 3, 1.\nAnswer: -3, 2\/7, 3\/8, 0.5, 1, 3, 892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r**(-4))**23 assuming r is positive.\nAnswer: r**(-391\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ppgapagaaggaagpaggag?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01737 rounded to 4 dps?\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 211263, 211281, 211287, 211275, 211239?\n\"Answer: -x**3 + 25*x + 211239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 e, and 1 b when four letters picked without replacement from {c: 6, e: 6, k: 3, b: 1, l: 2, v: 2}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = -g + 105987. Is g a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 60, 2, 95 in decreasing order.\nAnswer: 95, 60, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6195 + 2.6195. What is the nearest to -6.3 in -0.5, 5, 2\/19, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*d - 20 - 0, -2*m + 25 = -5*d. Let l = 3 - m. Suppose 61 + 16 = 11*n. Solve u + n = 3*o - l, -u - o = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -82 (b) -0.3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2286857 and -37\/5960047?\nAnswer: 1150289071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*h**5 - 3763*h**4 - 2*h**3 + 2508604*h wrt h.\nAnswer: -760*h**3 - 45156*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 822.6117l?\nAnswer: 822611.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 492, 809, 1188, 1635?\nAnswer: 2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**35\/((q\/(q\/q**(1\/4)*q))\/q*q\/((q\/(q*q*q*q\/q**2)*q)\/q)) assuming q is positive.\nAnswer: q**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 6*p - 3. Let j be i(5). Let b = j - -23. Suppose 0 = -2*y - 0*y + b. Calculate the remainder when 39 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014605489 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -76220 rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343)*-1 + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28106273 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1733321 - -3207721. Round s to the nearest 10000.\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*i**3 + 3939472497*i - 3939472497*i.\nAnswer: -106*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m - 1. Let n(z) = -5*z**2 - 6*z - 71. Let f(q) = 4*h(q) - n(q). What is the units digit of f(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722620?\nAnswer: 2, 5, 36131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 9 = -2*n - 3*r, -9 = 4*n + 3*r. Solve -5*i + 45 = -4*g, -4*g + 8*g + 20 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/2 + 13*i**3\/6 + 23*i**2\/2 - 7*i + 89. Calculate t(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034456970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 432*i - 9072.\nAnswer: 4*(i - 126)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7197411262?\nAnswer: 2, 3598705631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 31*a + 56. Let r(l) be the third derivative of -5*l**4\/4 - 55*l**3\/6 + 37*l**2. Let s(t) = 4*r(t) + 5*u(t). Suppose s(f) = 0. What is f?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 - g. Let z(a) = 21*a**3 + a**2 - 6*a - 1. Let c(u) = 11*v(u) - 2*z(u). Calculate the remainder when c(2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 526992.533 and -269.9?\nAnswer: 527262.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86252 - -86259. Let m(d) = -d**2 + 4*d - 3. Let p be m(3). Solve t*o + 2*o - 4*o = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 24 = 23*n + 4*l, 2*n - 3*l = -8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a year in months?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77380\/1441 smaller than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(1\/5)*l**(-1\/5)*(l*l**(-4)*l)\/(l\/(l\/(l*l**(-7)\/l*l*l)*l)))\/((((l\/l**(-4))\/l)\/l**(-3\/4))\/(l**(-3)*l**(-1\/4))) assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/15 - 16*b**3\/15 - 32*b**2\/5 - 7*b. Determine d, given that y(d) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 21*z - 44. Calculate the remainder when x(-18) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 149854 + 149565 = -4*v, 0 = 4*v - 288 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4009 = -6*s + 9*s, 1012 = l + 4*s. Suppose 9664 = l*g - 992*g. List the prime factors of g.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81469 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524836.\nAnswer: 2, 13, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - 105. Suppose 3*x + a - z = 0, 24 = 5*a + 9. What are the prime factors of (20\/x)\/(13\/78)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 (base 12) in base 11?\nAnswer: a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 0*a**2 + 26*a + a**2 to d*a + h + b*a**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7*c + 153 = 0. Let u be (-92)\/((-1)\/(-4)*-2). Let t = -116 + u. What is the greatest common factor of c and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 887 - 873. What is the smallest common multiple of l and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2503*v - 6*v**3 + 0*v**3 + 2503*v - 5*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8835606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.29, 0.13, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/13 + 81\/65. Let v = -0.33 + -1.67. What is the nearest to j in v, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 106f?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2577108204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/7373?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) 59 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 2. Let r be l(3). Let z be ((-8)\/(-80))\/((-4)\/10). Let y = z - 5\/4. Put y, 0.5, r in ascending order.\nAnswer: r, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:27 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + -397. Let u = r + 753. Which is smaller: u or 324?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6 - 0) - ((-2475)\/(-45) + -53).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 7*a**2 + 85*a + 7. Determine g(-13).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*o**2 - 5*h**3*o - 331*h**3 + 7*o with respect to o.\nAnswer: 2*h**3*o - 5*h**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, -0.5, 1\/5, -1\/5.\nAnswer: -0.5, -1\/5, 1\/5, 0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*h - 9783 + 9783 to o*h + x and give o.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 1:24 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*m - 923 + 3403 = -810 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + n - 11, -4*n - 29 - 2 = -5*a. Is ((14357\/(-28))\/(-7))\/(a\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57080, 456776, 1541662, 3654332, 7137380?\n\"Answer: 57099*a**3 + a**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74145.\nAnswer: 3, 5, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*((-2016)\/60)\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40860000 rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 43176320.\nAnswer: 129528960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2310 = -282*d + 4740 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1114079, -2228160, -3342241, -4456322, -5570403?\n\"Answer: -1114081*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 977 = -953. Let y(p) be the third derivative of 0*p**3 - 1\/60*p**4 + 0*p + 1\/300*p**5 + 3*p**i + 0. Factor y(s).\nAnswer: s*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m + 44 - m**4 - 104*m**3 - 7 + 37*m - 126*m**2 - 5*m**4 + 27 = 0.\nAnswer: -16, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1*(-7)\/(-42). Suppose 0 = -10*t + 5*t + 10. What is the biggest value in c, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 58 = -541. Let h = o - -87. Calculate the smallest common multiple of 8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 20. Let x(k) = -13*k + 39. Let j(r) = -11*n(r) + 6*x(r). What is the units digit of j(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*r + 180 = 748*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)\/f)**32\/((f*f\/(f\/f**0*f*f)*f*f)\/(f\/f**(3\/8))) assuming f is positive.\nAnswer: f**(-515\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 8*i**2 - 2*i - 12. Let n be u(-8). Suppose -3*w - w - 4 = 0. Let s = -53535 - -53550. Sort w, s, n in increasing order.\nAnswer: w, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x + s + 25, 4*s + 5 = -3*x. Solve -2*j - j - d = 11, -4*j - x*d = 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4054 - -4058. Solve -50 = 5*x - 3*r - 58, 0 = b*x + 5*r - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56 + 0 - (72\/3)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:46 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + 3 + 6*(sqrt(72) - (1 + sqrt(72)) - sqrt(72))*-4)**2)*-3 + 1.\nAnswer: -125882 - 19008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-915)\/15)\/(-61)*(-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.1, -2, -1\/2, 9, -2\/31 in decreasing order.\nAnswer: 9, 2\/9, 0.1, -2\/31, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((11 - (-918)\/(-57)) + (-4)\/(-38)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315525206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let p be m(-1). Let u(x) = -4*x**2 - 2*x - 2. Let f be u(p). Is (-3)\/36*f*42 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 12*y + 14. Give z(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.2, 3 in ascending order.\nAnswer: -0.2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - 22\/5. Let f(q) = -q**3 - 5*q**2 - 3*q + 5. Let l be f(a). Let m = -8309 - -8306. Sort l, -1, 4, m in increasing order.\nAnswer: m, -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 31*j**3 + 10*j**2 + 4*j - 4. Let w(u) = -32*u**3 - 12*u**2 - 4*u + 5. What is -5*t(f) - 4*w(f)?\nAnswer: -27*f**3 - 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.4679 rounded to the nearest integer?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (26 + -12 - 27) - (4 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(1605*j - 95014 + 95014)*(-1 + 2 - 2) as z*j + k and give z.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1 - (-141)\/63 - (-52)\/(-91))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 - 6*j + 5. Let y be n(6). Let k = y - 5. Suppose 4*t = 4*p + 20, 34 = -k*t + 5*t + 4*p. Solve 4 = -5*o - t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.391, -11, 0.1, -2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 8*u - 3. Let w(r) = 6*r**2 + 24*r + 9. Let o(h) = -7*f(h) - 2*w(h). What is the tens digit of o(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 1180.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*h - 2780*h + 14 + 1 - 15 to y*h + p and give y.\nAnswer: -2931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5\/4 - 15*d**4\/4 + 63*d**3\/4 + 123*d**2\/4 - 51*d - 63 = 0.\nAnswer: -7, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, g: 1, m: 1, s: 1, j: 1, o: 1}. What is prob of sequence jmg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:53 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let o = -0.3 + 0.7. Which is the biggest value? (a) z (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3904 + 4013.1. What is d rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12113 - 23?\nAnswer: 12030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-60))\/2 + 6\/(-90)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7195 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*j + 222 + 58, 140 = 2*j + 5*h. Suppose 2*c + c + 4*s = -62, s - j = 4*c. Let i = c + 69. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*t = 7, -4*n = -5*t - 16 - 25. Suppose 0 = -n*j + 63 + 93. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555318889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:53 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/13 + 74404*d\/13 = 0. Calculate d.\nAnswer: 0, 37202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8453 * -5.2.\nAnswer: 43955.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10678\/(-22320) + (-118)\/(-1829) and -95\/252.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*o + 204*o - 4125*o**3 - 421*o.\nAnswer: -4125*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51482 rounded to the nearest 100?\nAnswer: -51500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.7 + -1.3. Let d = f + 7. Which is the closest to 3? (a) d (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 24*u - 132. Calculate the remainder when g(-24) is divided by 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Suppose -d + 19 = 2*b, -16 = -n*b + 4*b. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtuel. What is prob of sequence rt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + (-20)\/4. Suppose 0*b + 5*b = 0. Let d = b + t. Let i(s) = -s - 3. What is i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5*g + 587*o - 589*o, -5*g - 66 = 4*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/18 - -7)\/(3\/360*4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21860291599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 + 1653*o + 585 - 1652*o - o**3 + 343 + 365 to the form h*o + y*o**3 + a*o**2 + d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 greater than 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -41. Sort 19, 1\/7, l, -0.4.\nAnswer: l, -0.4, 1\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 105\/8, -4, -0.5, -45, -13, -2\/13, 3\/7?\nAnswer: 105\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 652 + 866. Suppose 9*j = -13*j + p. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 - g**4 - g + 4*g**4 + 2*g**3 + 4*g**2 - 4*g**5 - 3. Let b(c) = -7*c**5 + 5*c**4 + 4*c**3 - 2*c - 5. Let p(m) = -3*b(m) + 5*i(m). Factor p(y).\nAnswer: y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -15*g + 15750000. What is g rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12812*w**4 - 6*w + 1792?\nAnswer: -153744*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.7. What is the closest to -2\/5 in u, -5, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*1*sqrt(6655))\/(3*(sqrt(80) + sqrt(80)*-2 - sqrt(80))).\nAnswer: -4 + 11*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 3436. Let c(s) = 58*s. Give c(x(w)).\nAnswer: 58*w + 199288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:29 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3301106?\nAnswer: 2, 1650553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, -3\/2, -0.82?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-15)\/(-105)*31. Solve 15\/7*k - 6\/7 - 12\/7*k**2 + s*k**3 = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6498265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.12 * 0.2.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/58)\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 4. Let z(v) = 2*v + 3. Let o(q) = -3*b(q) - 4*z(q). Let t(g) = 31*g**2. Give t(o(i)).\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 278*m + 3. Let p(k) = 271*k + 1. What is -4*p(z) + 3*q(z)?\nAnswer: -250*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 0 (b) 51 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 33 - 34) + -36?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-3))\/(24\/108))\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**5 + 2*c**5 + 3*c**5 + (0 + 0 - c**4)*(0 + 0 - 2*c) + (3*c**2 + 0*c**2 - 5*c**2)*(c**3 - 9*c + 9*c).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31772996?\nAnswer: 2, 7943249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4)*-186*12*(-9)\/972?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8419.7 + -8419. Let h = 14 + -8. Let f(w) = -w + 7. Let z be f(h). What is the closest to y in -5, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -64. Let d be (s - -37) + 3\/(3\/(-2)). Solve 0*g - 4*g - 3 = t, -5*t + 5*g = -d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 160. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 - 8*y**3 + 2*y + y**3 + (0*y**2 - 4*y**2 + 6*y**2)*(3 - 3 + 2*y))*(-7*y - 33*y - 21*y) to k*y**2 + u + g*y + s*y**3 + m*y**4 and give k.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 22201833?\nAnswer: 22201832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + z = -7, 2*z + z = 3*o - 9. Put -4, o, 4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2711 (base 11) to base 3\nAnswer: -11211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i. Let m = 57 + -54. What is the biggest value in i, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mml when three letters picked without replacement from mlzxwmwx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 3326?\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 3*c**5\/4 - c**4\/24 + c**3\/2 - 12*c**2 - 28*c. Let b(h) be the first derivative of o(h). Does 10 divide b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -11. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104026 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2. Let t(p) be the third derivative of -p**5\/30 - 3*p**2. Let r(f) = 5*o(f) - 6*t(f). Let l(j) = -j + 0*j - j. What is r(l(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 776609 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-6*y + 11 - 11) - 76*y + 2 - 263*y - 102*y.\nAnswer: -435*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*(x*x\/(x*((x*x**(-3))\/x*x)\/x))\/x))*x)\/x)\/x)**(-22)\/(x\/(x\/((x\/x**(-1\/6)*x*x)\/x*x))*x*x*x)**(7\/3) assuming x is positive.\nAnswer: x**(-1447\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2 + 11*q + 30. Suppose 0 = p + 5, 655*j + 3*p = 654*j - 20. Determine f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 193 = -140. Suppose -b*w = -4*w. Which is greater: -1\/273 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 257*z + 4843 = 68*z - 211 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + n**2 + 5*n + 4. Let f be (4*1)\/(0 - -1). Let r(l) = l**2 + 3 + 2315*l**3 - 412*l + 416*l - 2317*l**3. Calculate f*t(w) - 5*r(w).\nAnswer: -2*w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -34*p**2. Let c(i) = -520*i**2. Give c(m(x)).\nAnswer: -601120*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 15*q**2 + 50*q + 2. Let r be (-5)\/(-6)*(-30 - -24) - 5. Give o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -2 + 38. Let b(v) = v**2 - 3. Let u be b(w). Calculate the highest common divisor of 104 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/5)\/((w\/w**(-1\/5))\/w)*(w*w\/(w\/((w*w**(-2\/3))\/w)))**(2\/5))\/(((w**1*w)\/w)**46*w\/(w*w**6)*w**8\/w) assuming w is positive.\nAnswer: w**(-724\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 20 - 13*v**2 - 14 + 12*v**2. Let x be t(6). Calculate the remainder when 11 is divided by (8\/1 - x) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -52. Let k be ((-3)\/1)\/(-1)*-154. Let g = 7852\/17 + k. Which is the second smallest value? (a) g (b) 2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 5*x**2 + 9\/4*x**3 + 0*x + 1\/4*x**4 = 0. What is x?\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 103*t**4 - 4*t + 22. Let d(a) = -2*a. Let p(i) = 2*d(i) - m(i). What is the first derivative of p(l) wrt l?\nAnswer: -412*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -2*a, 5*t + 2*a = 7 - 4. Let r be 21\/(-9) - t*-2. Let d = 286.8 - 287. What is the closest to r in d, -0.1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(3118080\/(-18304)) - (54\/(-16) - -4)?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 5. Let l be h(-5). Suppose -9*q - 80 = -13*q. Suppose q*y - 27 = 11*y. Put -4, l, y in descending order.\nAnswer: y, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.99 and -1255.286.\nAnswer: 2498.01914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 16*h**3 - 12*h**2 + 196724 - 196724.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiogiogg. What is prob of sequence ig?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 16. Solve -1 - 3 = -k*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 173. Let v = -97 - w. Calculate the remainder when v is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 254*j**2 + 141*j**2 - 56*j**2 as p*j + n + q*j**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 9*b + 17. Let i be d(7). Suppose 0 = -i*f + 4*f - 36. Suppose -f = -2*n + 2. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52276, 52275, 52274, 52273, 52272, 52271?\n\"Answer: -f + 52277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:26 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431414067.\nAnswer: 3, 7, 20543527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 z, and 1 v when four letters picked without replacement from zozvzplzizplovlivz.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 231\/14 + (-1)\/2. Suppose 62*i - 58*i = d. What is the remainder when 1715\/21 + i\/(-6) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2\/2 + 16*x - 4. Let v be a(11). Let b be 9\/(-4)*v\/(-15). Sort 0.5, b, -2 in ascending order.\nAnswer: -2, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 - 5 = 0. Suppose -3 = -x*i + 7. Suppose i*m - 25 = 5*l - 2*l, -4*l = 20. Put m, 1, 11 in descending order.\nAnswer: 11, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59092404 divided by 3108?\nAnswer: 19013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**0)*o*o)**(2\/57)\/(o**(-2\/7))**(5\/7) assuming o is positive.\nAnswer: o**(668\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18.92. Let j = -14.8 - -10.88. Let s = u + j. What is the second biggest value in s, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*g + 25250 = 107*g - 104*g for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.25, -0.2, 0.2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -8. Calculate the remainder when 74 is divided by 2\/(((-30)\/(-9))\/(-5)) + u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23821*c - 23655. Determine f(1).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1023 = 81*a - 80*a. Does 6 divide (22\/(-44))\/(a\/512 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyycyhghghhqagh. What is prob of sequence hhch?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 39*f**2 + 2*f + 55. Let r be z(39). What is the greatest common divisor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 185*x**2. Let w(h) = 3990*h. What is g(w(d))?\nAnswer: 2945218500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29246?\nAnswer: 2, 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 + 11 = 0. Let s(i) = 49*i + 3. Let q be s(n). Let j = 3669\/19 + q. Which is the closest to 2\/11? (a) j (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 44. Is 5 a factor of t*-1*1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368384101 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) - 280\/(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 664. Let h(d) = -11*d**2. Determine h(w(j)).\nAnswer: -11*j**2 - 14608*j - 4849856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 6, 1, -4, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus 0.0391?\nAnswer: -18.9609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30134.8 * -5\nAnswer: -150674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12. Put l, -2\/3, -2\/9 in decreasing order.\nAnswer: l, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 799, 812, 823, 832?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(44\/12 - 2). Suppose -a + 4*r - 88 = -h*a, -a + 10 = -2*r. Let d = a - -5. Solve -4*y = -5*m - d, -3*m - y + 1 = 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 13*h**2 - 15*h**3 + 14*h**3 + 9*h + 11. Does 6 divide w(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1393?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x**(2\/15)*x*x)\/x*x**(-1\/4)*x*x**(-1\/3)*x**(2\/11)*(x**4\/x)\/(x\/(x\/(x**(1\/5)*x))*x)*(x\/(x*x**2\/x))**50 assuming x is positive.\nAnswer: x**(-10223\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 10:20 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s. Let i(b) = 3*b**2 + 18*b + 39. Let n(j) = 4*f(j) + i(j). Does 22 divide n(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-6) + (-2562)\/(-441). Factor -4\/7*g - 4\/7*g**2 + p.\nAnswer: -4*(g - 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(((-6)\/(-10))\/(2\/25)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9006*j - 573. Let p(o) = 2*o. Give p(k(m)).\nAnswer: 18012*m - 1146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -3*o + 4*h, -o - 3*h + 75 = -14. Let b be 0 - 114\/(-2 - 1). Calculate the highest common divisor of o and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 8:25 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**6\/10 + 3*i**5\/4 - 2*i**4 - 6*i**3 - 104*i - 2. Let q(r) be the first derivative of d(r). Factor q(j).\nAnswer: 3*j*(j - 2)*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 13*f**2 + 55*f\/3 - 25\/3.\nAnswer: (f - 1)*(3*f - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcccmrcccccm. What is prob of sequence mcr?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73950631*-5.\nAnswer: 369753155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilii when four letters picked without replacement from qfifqilxeieefeq?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*a - 55*a - 57*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01334782 rounded to four dps?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-22)\/462*4785\/(-29)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c + 5595 = -5*y + 5593, 0 = 3*c + 6 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4582 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26771942.\nAnswer: 2, 37, 331, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -78*u**2 + 21477*u + 94*u**2 - 21477*u. Let s(v) = 4*v - 9. Let r(a) = a - 2. Let x(d) = -9*r(d) + 2*s(d). Determine x(i(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10288653 is divided by 1008?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 118?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*o + 23604406*i*o + 3*o - 38667500 with respect to i.\nAnswer: 2*i*o + 23604406*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -100001010011100010 (base 2) to base 13\nAnswer: -4a129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -41. Let x be -2 - (-29 - 2) - (-3)\/s. Calculate the greatest common divisor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-32))\/((-4)\/(-208))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 24. Let a be i(-8). Suppose -10*x + 7*x + 5*h + 4179 = a, 3*x = -5*h + 4209. List the prime factors of x.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-2\/3)*m)))\/(m*m**(-2\/13)*m*m))\/(m*(m*(m*m**(-8)\/m)\/m)\/m*m*m**(-12)*m) assuming m is positive.\nAnswer: m**(643\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {y: 2, o: 13, m: 5}.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -17*q + 80. Let d(l) be the second derivative of -3*l + 0*l**3 - 1\/20*l**q + 0*l**2 - 1\/3*l**4 + 0. Find the third derivative of d(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 10*l**2\/3 + 8*l\/3.\nAnswer: 2*l*(l - 4)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8647 + -0.2173. Let g = -0.082 - u. Which is the closest to 1? (a) 3\/5 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 653604 and 400596.\nAnswer: 12418476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6124 (base 14) to base 5\nAnswer: -1013232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5423040 and 6912.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -7907, 141, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -757 - -1071. Let x = m + -311. What is the biggest value in 17, x, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 285, 135, -15, -165, -315?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -7)*(-1)\/(-3). Suppose b*p = -0*p + 8. Suppose k = -p*z - 12 + 29, -3*k - 3*z + 15 = 0. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + 29. Calculate the remainder when l is divided by (2\/(-5))\/(14\/(-770)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19229 (base 13) to base 4.\nAnswer: -23321003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 606*t**2 + 1104424*t - 2211264 = 0. Calculate t.\nAnswer: -792, 2, 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 5\/3*d**3 + 2 + d**2 + 5*d. Let x be (-1857)\/1238*(1 - -1). Let n(f) = -14*f**2 - 6*f - 14. Give x*n(h) - 8*l(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -2*o**4\/3 + 2*o - 2. Let x(c) = -19*c. Calculate j(x(s)).\nAnswer: -2888*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + -40. Let c be (y\/21)\/(3\/(-9)). What is the greatest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**4 + 250*v**3 + 1446*v**2\/7 + 306*v\/7.\nAnswer: 2*v*(v + 17)*(7*v + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-4 - 2*b**2 + 4) + b**2 + 5*b**2 - 5*b**2 - 5*b + 3*b - 1 + 2*b**2 + 3*b + (-287*b**2 - 29894 + 29894)*(0 - 3 + 1).\nAnswer: 575*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.22 + 3.32. Let n = -8.3 + 0.3. Which is the second biggest value? (a) w (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 - (-4 + 6). Let k = -9 + 10.4. Let u = -0.4 + k. Sort 4, u, x.\nAnswer: x, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268420119 is divided by 460.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 104062986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -46571033?\nAnswer: 46571017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6 - 14131*h**2 - 16*h - 24 - 4601*h**2. Let t be o(-18). Let m = t - -4268898. Round m to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77416647 and 3838842.\nAnswer: 464499882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m - 2*y + 62, -5*m = -2*y - 104. Sort m, -0.4, -0.06 in decreasing order.\nAnswer: m, -0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 649 + -645. Put -4, q, 47 in descending order.\nAnswer: 47, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h. Let a(j) = 3*j**2 - 21*j + 39. Let d be a(2). Let n(q) = -d*q + 10*q + 2*q + 9*q. What is x(n(b))?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 4 + 3 - 7*y as x*y + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + s + 745 = 0, 4*r - 3*s = 585 + 170. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 135641344179051.\nAnswer: 135641344179062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 111\/(-2))*(-948)\/2133\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -5*(-1*sqrt(65) - sqrt(65) - sqrt(65)) + sqrt(65))\/sqrt(5).\nAnswer: 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196\/21*12\/7 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1100100011101?\nAnswer: 1100100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 2*g**2 + 2. Let f(w) = -3*w**2 + w**3 + w**2 + w**2 - 1. Let l be -1*(-9 - -4 - -4). What is l*j(p) + 2*f(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-105824*o**3 + 101123*o**3 - 2 + 1 + 1) in the form n*o**3 + a*o + p*o**2 + z and give n.\nAnswer: 4701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14689783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1600 and 11840?\nAnswer: 59200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6242 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let n(i) = -i**3 - 5*i**2 + 6*i + 5. Let s be n(-6). Let l(c) = 25*c**2 - 30*c + 14. Let f(t) = s*y(t) - l(t). Find g such that f(g) = 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by 1243\nAnswer: -173\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 9*c - 216. Let o be 45\/10*312\/c. What is the highest common factor of o and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 45. Let l = -41.0033 + b. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 10405355*z.\nAnswer: -5*z*(z + 2081071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 10140?\nAnswer: -10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2281 = -31*j + 30*j. Let l = -1244 + j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + -4 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52003392 to the nearest integer?\nAnswer: 7211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56803*w - 399 = -56782*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = 172. Calculate the common denominator of -46\/3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.5. Let p be ((-10)\/(-18))\/(-3*(-6)\/3186). Let g = p - 99. Which is the second smallest value? (a) g (b) -1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24 - -20) + (7 - 1). Suppose u*o + 9 = 3*n, 2*o - 5*o + 4 = -n. Solve -n*j + 6 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 855863 and 3?\nAnswer: 2567589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 - (24 - 1). What is the common denominator of (-2 - -5) + 242\/s and -17\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5*c**6\/3 - 2*c**4\/3 + c**3\/2 - 329*c**2\/2 + c + 88. Find the second derivative of x(b) wrt b.\nAnswer: 600*b**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 2*a + a**2)*(24*a - 13*a + 60*a) + 0*a**3 + 3*a**3 - 2*a**3 to the form i*a**3 + f*a + m + x*a**2 and give i.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/3 in -4, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 14*j + 50. Let r be d(9). Suppose -r*o - 39 + 49 = 0. Solve -8 = -o*q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 52?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*q + 12 + 73 = 182*q. Suppose -4*c = -5*f - 1, -4*f = -0*f + 3*c - 24. Solve -28 = q*b + 5*k - f, 0 = b - 2*k - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1597*-0.5\nAnswer: 798.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1721 + 0.1721. Sort 0, 46, i in decreasing order.\nAnswer: 46, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, 5, 126 in ascending order.\nAnswer: -4, 5, 23, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -215d38 + -8b?\nAnswer: -215dc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.4, 1\/4, -0.011, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1612 and 267974044?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.147, 2, -3 in ascending order.\nAnswer: -3, 1.147, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2623 = o, 2*t + 0*t = 2*o + 2626. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.008787 + 0.009. What is w rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49872 divided by 12468\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/24441 and -137\/12?\nAnswer: 97764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136884 by -374.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1158\/7 - -166. What is the nearest to -3\/13 in d, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1)*o\/o**(2\/5) assuming o is positive.\nAnswer: o**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88010*r + 88011*r = 2*z, -5*r + 32 = 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-9)*((-43644)\/8 - 0). Is u*((-3)\/(-18)*9 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.05. Let h = 4.95 + p. What is the second smallest value in 2\/11, h, -4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52488 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2701*j**2 - 27*j + 115. Is z(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14066403 and 7239?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374700 greater than 1498801\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100011110100001 + 11111?\nAnswer: -100101100011110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*h**3 + 331*h**3 - 167*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.07 - 1.0700067. What is n rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41\/105 - 2\/35. Which is greater: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 - 110*o - 6651. Calculate h(44).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*v + 0*v**2 + v**2 - 2 - v**4 + 21*v**4 + 32*v in the form u*v**3 + q*v + w + z*v**4 + n*v**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18)*2)\/(3\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301605?\nAnswer: 5, 569, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96419*x + 96316*x + 5459 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 2 + 17*u + 37*u - 11*u.\nAnswer: 47*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d - 18 = -53*d. Sort 8, -27, d in descending order.\nAnswer: 8, d, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 69*d**4 + 432*d**3 - 32584*d**2 - 133392*d - 134064 = 0. Calculate d.\nAnswer: -42, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 24\/20*50\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (2 + -4)) + (-1 - -1). Suppose u = 2*s - 7*s + 1245. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 8\/(-246)*-2*(-150792)\/1952\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -11926 = -11919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/10))**(-13) assuming h is positive.\nAnswer: h**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.71 + -11.91. Let j = -7.2 - c. What is the nearest to 0 in j, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:29 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3764551 + 9*z + 444*z**3 + 3764551 + 26*z.\nAnswer: 444*z**3 + 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:07 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s = 41*s + 22. Let o(z) = z**3 + 12*z**2 + 5*z + 24. Let q be o(s). Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111869832 to the nearest integer?\nAnswer: 10577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 269 (base 10) to base 13\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 14 = -2*l, 79*i - 76*i + 3*l = 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3745)\/(-28) + (-2)\/(-8)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 54122011?\nAnswer: -54122014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61a9 (base 12) to base 10.\nAnswer: -10641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/71 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262058.\nAnswer: 2, 283, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-18*v + 12 - 12)*(-2*v + 2*v + v + (-1 + 1 - 2)*(-2*v - 5 + 5) + 2*v - 12*v + 3*v).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 672*t + 2004. What is j(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5709 = 3*c - 3*p - 5706, -4*p = -5*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-9)*3\/18*9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6159156 to three decimal places.\nAnswer: -0.616","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 20851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/14*-8 - (-3)\/21. Let v(b) = 3*b + 1. Give v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:31 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4977 - 4976.7. Which is the third smallest value? (a) i (b) 1\/7 (c) -23 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -17*q. Let j(d) = -527*d. Let n(z) = -6*j(z) + 187*k(z). Let c be n(-1). Solve 3*m + 4*l = -c, 0*m + 4*l = -5*m - 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -64*u - 17. Let q(f) = 16*f + 4. Suppose 36255*m = 36236*m - 38. Determine m*i(t) - 9*q(t).\nAnswer: -16*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-18)*(-3)\/(-2). Suppose -2*f - 5*b + 36 = 0, -4*b + 72 = f + 3*f. Let p be (18\/(-6))\/f*-4. What is the closest to p in -0.2, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 7*t + 4*n - 1068, 330 = -2*t - 3*n. Is t >= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 0 in ascending order.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(114) + (sqrt(114) - (sqrt(114) - sqrt(114)*-1)) + sqrt(114) + sqrt(114)))\/(sqrt(216)*-3 + sqrt(216)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01300392 + 0.013. What is z rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (27\/45 - -6). Let p = -330 + 228. Which is the nearest to 0? (a) 0.2 (b) g (c) -3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10*m - 20. Suppose -1030 = -c - m*c. Suppose -4*q + 5*j - 53 + 198 = 0, c = 5*q + 2*j. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + -4 + -2*((sqrt(175) + -1)**2 - sqrt(343)*2)).\nAnswer: -240*sqrt(7) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1208 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*y + 142*y = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**5\/5 - 965004*j**4\/5 + 38806187976*j**3\/5 - 387976963536*j**2\/5 + 93097797120*j + 2793350769408\/5 = 0. What is j?\nAnswer: -2, 6, 80412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -11\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/42 and 23\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 6*k. Let m(a) = 5*a - 33. Let w be m(12). Let j be (2\/4 - w\/18)*26. Let q = j + 20. Calculate v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3963 - -3936. Which is bigger: v or -111?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 25 = 2*q - 7*q, 2*q = 6*g + 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(1\/(-9) + 3)*-6. Let j = 160 + u. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 7*x)*(-x**2 + 681764*x**3 - 666248*x**3 + x**2).\nAnswer: -31032*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = -4*v, v = 4*v + 5*a - 19. Let j = -8 + 28. Suppose -5*q - 2*m - 3*m = -j, q = -4*m + 16. Solve -3*u - 21 = -v*k, q = u + 4*u - k + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -36. Let i = -8 - h. Solve -3*d + 4*d + 2 = 0, 0 = -5*v - 3*d + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-2) - (2 + -2). Let q be 2\/(-12) - (-122)\/t. Let v(g) = 7*g - 14. Does 23 divide v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/20, -0.3, 5, -5, -3.\nAnswer: -5, -3, -0.3, 11\/20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4320*b + 22160. Calculate l(-5).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -57. Let l be (36\/(-20) - (-8)\/j)*-7. Suppose -11022 = -13*r + l*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 4 + -3 + (sqrt(77) + -6*2*sqrt(77))\/sqrt(11))**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(1062\/236)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yflmymlyvmylmffllmmf. Give prob of picking 1 l and 1 f.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27)*63\/14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12975 divided by -1306.\nAnswer: -12975\/1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 57*o**2 + 8*o - 13*o + 5*o to q*o + i + s*o**2 and give s.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (sqrt(85)\/sqrt(45) - (sqrt(102) - (sqrt(102) + sqrt(102)*-3 - sqrt(102) - sqrt(102)))\/sqrt(6))*-1)*5 + 4)*2)**2.\nAnswer: -560*sqrt(17)\/3 + 333236\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n - 3. Let r be n*15\/12*-4. Solve -o - r*m = 4*o + 10, -4*o - 5*m = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*p + 37 = 0, 0*o - 9 = -o - 2*p. Suppose -2*a - 84 = -4*k, k = -2*k + 4*a + 73. Calculate the remainder when k is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/32 + -1)*852\/(-426)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 814 and 44.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/10 - 0)*205. Find q such that 18 + q**2 + o*q - 8 - 30*q = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -118.\nAnswer: -118, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**10*j**(9\/4))\/(j**(-1\/16)*j\/j**(2\/17)))**42 assuming j is positive.\nAnswer: j**(65289\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:30 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 54*y**2 + 34*y + 240. Let n be s(-29). Calculate the greatest common divisor of n and 1547.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:40 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -39. Let x be (55\/(-5))\/((-2)\/c). Let b be 2080\/48 - 4\/(-6). What is the greatest common divisor of x and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2422872 and 2422874 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1\/973, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/37 and -65\/30681?\nAnswer: 1135197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -1\/120*t**5 + 5\/24*t**4 + 0*t - 2\/3*t**3 + 0*t**2 + 1. Let b(u) be the third derivative of p(u). Calculate b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 4:47 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d - 10. Let p be j(-4). Let x be p\/6 - ((-6)\/2 + 5). Let v = 3 + -3.4. Which is the nearest to v? (a) x (b) -4\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2377*o - 199. What is the ten thousands digit of s(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888397761?\nAnswer: 3, 296132587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1886 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3316985 divided by 94771.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8\/65565?\nAnswer: 8\/65565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-4))\/(410\/328) + (-273)\/(-450). Let z(v) be the third derivative of 0*v**4 + 0 + 32*v + 0*v**3 - v**2 + 0*v**6 + 1\/525*v**7 - r*v**5. Factor z(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70797288, -70797289, -70797290, -70797291, -70797292, -70797293?\n\"Answer: -u - 70797287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(528)*-5 - -2*sqrt(528))\/(sqrt(6)\/(sqrt(2) + sqrt(16)\/(4*sqrt(8)))).\nAnswer: 145*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 13. Suppose 3*t - 21 = -4*j, -5*j + 0 + 12 = -t. Suppose 7*p - j*p = -44. Give k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 66 + 155 = -5*w, 2*i - 138 = w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4066 and 5814.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w - 3. Let c be 0 + 0 - (w - 4). Solve c = 3*j + g, 0*g = -j + 3*g + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -52*x**3 - x**2 + 2*x - 1. Let k be v(1). Let q = -29 - k. Suppose -3*f - 2*f - 2*r + q = 0, 1 = -5*f + 4*r. Put f, -5, -14 in descending order.\nAnswer: f, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 14 (b) -4 (c) -2\/13 (d) -3\/2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -304 - -306. Let z(j) = 40*j - 11. Let l(u) = u - 1. Let f(k) = -4*l(k) + z(k). What is the units digit of f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 9 - 2*b - 2*b**2 - 6*b. Let k be h(7). Let i = k - 0. Solve 5*o + 5*y = i*o - 13, -6 = -4*o - 2*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.27 (b) 1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5 + 289*t**4 + 38811*t**3 + 224951*t**2 + 334630*t + 148200 = 0.\nAnswer: -95, -4, -1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 11. Let s(q) = -2*q + 23. Determine 6*s(t) - 11*u(t).\nAnswer: -t + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/546 + (4 - 3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 4*u - 1. Let d = 23 + -5. What is the lowest common multiple of n(5) and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -187, -183, -177, -169?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 + 9*k + 68. Let q be l(-5). Suppose -d + 3 - 28 = 0. Let a = d - q. Solve a = 2*w - 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-354)\/174 - -2 - (211929\/(-8323) + 2 + 14)\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -129, 0.1, -5, -50?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 20*n**5 - 60*n**4 - 45*n**3 + 125*n**2 + 45*n - 45 = 0.\nAnswer: -1, 1\/2, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8801.9848 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1099 + -0.2099. What is the closest to x in -2\/133, -2\/13, 0.5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -9, -4, -39, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -247964 and -16.\nAnswer: 3967424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 15253?\nAnswer: 15252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - g - 1. Let p be (-2 + 3)*(0 + 14). Let y be (6\/p)\/((-14)\/(-98)). Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -10060?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1743, -0.2, 11, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 23*q + 15. Let m(s) = 19*s - 1. Let d be m(3). Suppose -39 = -5*x + d. What is the remainder when u(-20) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -45.00034. Round n to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 372*f + 359. Calculate h(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30747049*q**2 + 61494046*q**2 - 30747068*q**2.\nAnswer: -71*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 8*j**2 - 15*j - 122. What is b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*b**2 + 2 + b**4 + 5*b + 10*b - 16*b)*(-2 + 1 + 3).\nAnswer: 2*b**4 - 50*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 441792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7, e: 5, i: 1}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 44, 2, 189, -5 in increasing order.\nAnswer: -5, -2, 2, 44, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 586?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.592 - 0.008. Let j = 6.4 - 6. Let y = j - s. Which is the third smallest value? (a) -4 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 384*z**2 + 59616*z + 1218816.\nAnswer: 2*(z + 24)*(z + 276)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Let v be (-1)\/((-1)\/(-2) - 0). Suppose -4*l = -9*l + 20. Sort l, c, v in descending order.\nAnswer: c, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 1. Let j be (-1 + 2 + 0)*1. Suppose -s + 0 = -j. What is u(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0. Let o = 425.7 - 457.7. Which is greater: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 37, 2\/3, 5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7375*w**3 - 34*w**2 + 31*w + 52870 wrt w.\nAnswer: -44250*w - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37014676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3413 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 3*q - 4*q)*(-3 + 2 + 2) + (-38 + 38 - 2*q)*(0 + 1 - 2).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:32 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*t = 18, t - 4*t + 21 = 4*n. Suppose 197 = d + 5*h - 3*h, -n*d + 584 = -h. List the prime factors of d.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 432*c**2 + 430*c**2 - 97*c as j + o*c + l*c**2 and give o.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2027*g**5 + 137173*g**3 - 137173*g**3 + (-3 - 3*g**3 + 3)*(3*g**2 - g**2 - g**2) + (-4*g + 4*g + g)*(-2*g - 2*g**4 + 2*g).\nAnswer: 2022*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + (0 - -7) - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 5*f + 1 - 3*f + 3*f - 5 + 5. What is n(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 107*u**2 - 26*u - 127. Let k be c(-53). Which is smaller: k or -1559?\nAnswer: -1559","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11156 - 5306. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 3\/194?\nAnswer: 3\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1277681 by -14.\nAnswer: -1277681\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 4)*(0 - 1 + 0) + 9694 - 2863 + 9184 - 1728 + 2867)*(q + 0*q + 0*q) as z*q + w and give z.\nAnswer: 17153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1573)\/(-65))\/(-11) - 1410\/(-650).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/12 - o. Let r(q) = q**2. What is p(r(u))?\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.89 - 3.39. What is the nearest to -0.03 in 3\/4, 0.4, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a**3 - 42*a**2 - 26*a + 12. Is t(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13886*h**5 + 3*h**3 - h + 18228.\nAnswer: -277720*h**3 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10044)\/378 - 99\/231?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsc. What is prob of sequence sj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117355869 and 9099.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-1\/4)*y)\/y*(y*y\/((y\/(y**(-4\/11)\/y*y))\/y)*y)\/y*y)**(-1\/5))**(-24\/5))**33 assuming y is positive.\nAnswer: y**(378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 - -1?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtr when three letters picked without replacement from {q: 4, g: 4, r: 5, d: 3, t: 3}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 0 + 0 + (-2*d - 2*d + 2*d)*(2 - 2 - 2) - 3*d - 58*d - 46*d in the form i*d + l and give i.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 395*k + 3552. What is b(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, e: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(70)*2)\/(sqrt(1000) - (sqrt(1000) + sqrt(1000) + sqrt(1000) + sqrt(1000) + (sqrt(1000)*2 - sqrt(1000)))).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*(-3 + 0). Let s be -2 - (3\/3 - f). Calculate the remainder when 23 is divided by 1 + s + 2 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + 1 + 5) - (-18 - (14 - 28))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*p - 3*p, -70 = -5*l - 2*p. Suppose -247 = i - 229. Does 8 divide (i\/15)\/(l\/(-400))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 46. Let z be l(-22). Factor -s**2 + 3*s**3 - s**3 - 19*s**z - 6*s**3.\nAnswer: -4*s**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276691 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2 + 2, 3*x - 13 = -5*k. Let b be (-1 - -2)\/(k\/200). Suppose -b = -4*f - 0*f. Solve -3*w = 2*w - f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0662 + 285.9338. Let g = m - 286.1. Put -1, g, -0.4, 39 in descending order.\nAnswer: 39, g, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8496401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2005 is divided by 522?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/5 - (1 + -36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnwnwdnadwnnn. What is prob of picking 4 n?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10493?\nAnswer: 7, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((64\/(-8))\/(-32)*-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73312 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2 + -2 + 3). Let m(w) = -100*w + 5. Let f be m(6). What is the common denominator of -3\/62 and f\/(-50) - 4\/b?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9307*z + 9326. What is t(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = -7*i + 1209. What is the remainder when i is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)\/s**(-6))\/(s**(-2\/11)\/s**(3\/8)) assuming s is positive.\nAnswer: s**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 3.2. Let j = -3 + 6. What is the second biggest value in -0.4, u, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 129858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/28573816 and 37\/635680.\nAnswer: 571476320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19062 or 19072?\nAnswer: 19062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11772684 a multiple of 1918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 54762?\nAnswer: 54770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q\/q**0)\/q)*q)**(2\/7)*q\/q**(-3\/5)*(q**(-3)\/q)\/q*q)\/(q*q**(-2\/13)*q**(4\/9))**(-47) assuming q is positive.\nAnswer: q**(242077\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.37 + 0.17. Suppose -4*p = 3*q - 9 - 2, -3*q = -4*p + 5. What is the nearest to w in p, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*((-4)\/(-36))\/(26\/(-117))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/743763 and 17\/2634534.\nAnswer: 218666322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -2*i**7\/105 + 133*i**6\/180 - 8*i**5\/45 - 133*i**4\/36 + 22*i**3\/9 + 2209*i**2. Find c, given that f(c) = 0.\nAnswer: -1, 1\/6, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*x**2 - 13709*i*x - 2*i + 31*x**2 - x + 72336 wrt x.\nAnswer: 4*i*x - 13709*i + 62*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 5*p + 38. Let r = 38 - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*p**2 + 1 - 3*p + 12*p**2 to n + q*p**2 + m*p and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/6 (c) -0.5 (d) -15 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 70 = -3*p + 9*p + 4*y, 0 = -5*y + 95 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + 1311 = 1503 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/332 + 1223\/4980. Let z(r) be the second derivative of 0 - 1\/3*r**3 - 1\/21*r**7 - 2\/3*r**4 + 0*r**2 - 7*r - 3\/5*r**5 - b*r**6. Factor z(v).\nAnswer: -2*v*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 10*t - t. Suppose t = -5*a - 8*a + 39. Solve 2*b = 5*b - a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:32 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.061 - -3.589. Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.17 - -0.32885.\nAnswer: -45.84115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34702266 - -19792053. Suppose -3 = l - 2*l, 0 = -5*m + 5*l + 12551050. Let u = r + m. Round u to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-1 + 6 - 3)*(-3 + 2 - 1)*(4 - 4 + k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85524*u = 85272*u + 34524 for u.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 3, q: 1, g: 5, o: 3, b: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168*(-96)\/4032*(2\/4)\/((-81)\/6)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-374)\/(-528))*(4\/(-6))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2330 + -2315. Solve 9*g + 12 = y*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3115 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -145*p**2. Let n(f) = 2*f. What is n(h(u))?\nAnswer: -290*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*a**2 - 18*a**2 + 7*a**2)*(300*a + 7 - 298*a + a**2 - 2) to u + b*a**4 + k*a + h*a**3 + z*a**2 and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30142 and 7420.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x + 7. Let m be c(-13). Suppose -21 = -r + m. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 8*v**2 + 11*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + j**2 - 3*j. Let n be y(-2). Find the third derivative of 882*l + 2*l**n - 882*l - 6 + 70*l**3 wrt l.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 492254.\nAnswer: 1\/246127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7300, -7306, -7312?\nAnswer: -7318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*h**4 + 2*h**3 - 3*h**2 - 3 wrt h.\nAnswer: -1992*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1651.\nAnswer: -495.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -8*f**3\/3 + 2*f**2 - 5. What is the second derivative of j(o) wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:18 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 184 + 680. What is the greatest common divisor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.4382 and 0.8.\nAnswer: 9.2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**(-10\/9)*s\/s**(10\/9)*s\/(s**1\/s)*s**(-1\/4) assuming s is positive.\nAnswer: s**(91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 665, 963, 1453, 2129, 2985, 4015, 5213, 6573?\nAnswer: 8089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -40. Suppose 2 + k = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -368.3 + 345. Let l = x + 23. Which is the closest to 0.1? (a) 5\/2 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.6519 - 32.84. What is l rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -1\/3*i**3 - 1\/12*i**4 - 1\/2*i**2 + 0 - 6*i. Find w, given that g(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmwmwmmwwwwwwwmwm. What is prob of sequence ww?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let g be (333\/18)\/(2\/4). What is the third derivative of -1146*s**4 + 31*s**6 + 1146*s**4 + g*s**2 wrt s?\nAnswer: 3720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 4)*(-3 + 3 - 3*a) + 12*a - 55*a - 2 + 8*a + (-2*a + 3*a + 0*a)*(3 - 1 - 1).\nAnswer: -16*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 160\/(-24)*3\/4. Let r(c) = -c - 12. What is r(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3412939, -3412946, -3412953, -3412960?\nAnswer: -3412967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2709?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246691, -246690, -246689, -246688, -246687?\nAnswer: -246686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a**5 - 144905*a**4 - 7635975*a**3 + 13083800*a**2 + 71258540*a + 31412880 = 0 for a.\nAnswer: -54, -2, -1\/2, 4, 14543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -46615245042?\nAnswer: -46615245039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**5 + 2975*p**4 + 415*p**2 - 32926256*p + 1 wrt p?\nAnswer: -80*p**3 + 35700*p**2 + 830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Let x be 1\/(-2) + (-9)\/(-12). Factor -x*b**3 + b**j + 0*b**2 + 0*b + 0.\nAnswer: b**3*(4*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 - -366. Let s be 2\/(-5) + h\/60. Solve -s*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -317669639.8 to the nearest one million.\nAnswer: -318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.598276 times 95\nAnswer: -56.83622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-5))\/((-2)\/(-6)). Let 5*m + 22 - m**2 - 7*m**2 - 4*m**w + 10 + 11*m = 0. Calculate m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-45) - (-1388)\/60. Suppose -z*j - 96 = -24*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 0*b**3 - 5*b**3 - b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87 and 0.4.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19162 - 19161. Which is the second smallest value? (a) p (b) 0.1 (c) 0 (d) -4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - (-2 - -1)) + -1246 + 1226.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 0 - (-2162 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237958 is divided by 3294?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a**5 + 3*a**3 - 18*a**2 + 3. Let d(j) = 12*j**5 - 2*j**3 + 17*j**2 - 2. Let r(c) = 2*b(c) + 3*d(c). What is the third derivative of r(k) wrt k?\nAnswer: 840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 181 - -38773?\nAnswer: 40064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 2. Suppose 0*z + 12 = 3*z. Suppose -d + 16 = -5*v, 32 = -z*d - 3*v - v. What is m(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3767717 and 0.179?\nAnswer: -674421.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 16. Let z(i) = i**3 - i**2 - i. Let r(k) = 4*k**3 + 7*k**2 - 8*k - 13. Let f(v) = -r(v) + 5*z(v). What is the remainder when f(x) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28396 and 1092.\nAnswer: 7752108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 - -1)\/(-2). Suppose 1 = k*t - 3. Let v = -15 + 33. What is the highest common factor of t and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-4) + (-1897)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 + 11537*a**3 + 2*a**2 + 12363*a.\nAnswer: -40*a**3 + 69222*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r = -3*m - 16*r - 16, -3*r = 2*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:37 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f - 9. Let t be v(-2). Let i(n) be the third derivative of -n**4\/12 + n**3\/2 - n**2. Calculate i(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {y: 1, u: 4, w: 1, q: 1, r: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205*b*x**3 - 4*b*x**2 - 2*b*x + 2478*x**3 - 3*x**2 wrt b?\nAnswer: 205*x**3 - 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 - (-227 - -124) - -199?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o = 44*o - 28. Suppose 0 = o*s + 3*s - 260. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (-6 - (-4 - 0)). Let c(r) = -1 - i*r - 2 + 3*r. Determine c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29543133 and 9.\nAnswer: 88629399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 + 84*k - 82 = 0 for k.\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/5*(-5)\/2. Suppose 0*u + 5*q - 3 = -u, 0 = -3*u + d*q + 45. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(396) + 2 + sqrt(396))**2 + ((sqrt(176) + sqrt(176)*-2)*-1)**2.\nAnswer: -3000 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Suppose -2*d - 6 = -4*y, 3*d - 4*y = -2*y - 1. Let c(g) = -6*g**2 - 2. Let l = 188 + -170. Suppose -l*v = -22*v + 16. What is d*c(b) + v*i(b)?\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/4 - f**4\/4 - 13*f**3\/4 + f**2\/4 + 12*f + 9 = 0. Calculate f.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81, 126, 173, 222, 273?\n\"Answer: u**2 + 42*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3050 - 5570 - 2*o + 2520.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + b**2 - b**2 + (b - 2*b - 2*b)*(3*b - 4*b - 2*b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*o**2 - 11*o**2 + 16*o**2 to the form m + y*o + x*o**2 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 51*a + 8. Let i be x(7). Suppose -i = -5*v + 35. Suppose -3*l + 4*m = -59, 5*l = 2*m + m + v. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 38, 44, 52, 62, 74?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 6*i**2 + 2*i**2)*(-10 - 37*i + 77*i - 50*i).\nAnswer: 70*i**3 + 70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k + 390. Suppose 0 = r - 4 - 0. Suppose -i - k = -r*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435934?\nAnswer: 2, 37, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyld when four letters picked without replacement from {d: 2, y: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3570.506 tonnes?\nAnswer: 3570506000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -382\/99 + 40\/11. Let m = -3\/7448 + 467\/3724. Sort m, b, 0.4 in descending order.\nAnswer: 0.4, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2, 0.1, 41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40049 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 447.5 - 448.5. Let c be (-38)\/14 - (-4)\/(-14). Sort j, -2, c.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -549 + 549 - 16*v**4 + (-17*v - 11*v - 28*v)*(-v**3 - 2 + 2) to n*v**4 + k*v + b + x*v**2 + m*v**3 and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -46, -1, -8, 5, -5, 376 in descending order.\nAnswer: 376, 5, 2, -1, -5, -8, -46","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2254)\/14*804\/4623.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*p + 707*p = 166*p - 6394 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*((1080\/(-75))\/24)\/((-27)\/20)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -604.29 - 122.81. Let x = w - -766. Let k = 39 - x. Sort 5, 9\/7, k in descending order.\nAnswer: 5, 9\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174.008 - -174. Let z = o - 0.092. Is z bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 5 (c) 198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p + 73. Let i be o(5). Solve -n = n + i, -3*n = -s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/43 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let b(r) be the first derivative of 2*r**2 + 3*r + 55. Determine b(h) + 2*i(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32044613\/7 or 4577803?\nAnswer: 32044613\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 922021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368072 and 195156?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 4 - 148 = 0. Suppose -u*f = -14967 + 3381. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 23*b**2 - 23*b + 48. Is a(24) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -2*h**4\/3 + 8*h + 2. Let o(r) = 3*r**2. Determine c(o(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1175 and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -540.0001 + 537. Let m = 5.59 + -2.59. Let t = q + m. What is t rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 14. Let g be ((-4)\/6 + 1)\/((-17)\/(-561)). Let z be y(g). Find the first derivative of -z - 4 + 12*c**4 - 2 wrt c.\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9507 (base 10) to base 13.\nAnswer: 4434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110 (base 2) in base 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:46 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -13.1 (d) 733 (e) 3 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14492 + 1769944.\nAnswer: 1769943.85508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*d = h - 1983, 3*h - 1487 = -2*d. What are the prime factors of h?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:45 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 68. Let i be j(25). Solve i*m - 10*m - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 5 - 29 = 0. Is 1033\/s + (-12)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 = -3*f - 79, -2*f - 2*m - 64 = 0. Let s be (0 - (-3)\/(-4))*6\/f. Let t = 1 - 5. What is the third biggest value in s, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 27*h**3 + 6*h + 6. Let c(t) = -45*t + 2869. Let o be c(64). Let d(i) = 53*i**3 + 11*i + 11. Determine o*p(g) + 6*d(g).\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**7\/720 - p**6\/60 - p**5\/10 + 5*p**2. Let x(d) be the third derivative of y(d). What are the prime factors of x(9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*t = -856 + 5, -4*v = -3*t - 1136. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 25*q + 13. Let n(i) = -i**3 - 6*i**2 + 6*i + 1. Let r be n(-7). Let j be (r - 2) + 3 + 3. Is 10 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.0597.\nAnswer: -0.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -123. What is the remainder when 82 is divided by 1\/3 - 2\/l*262?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 26 = 4*k, -3*k + 24 = -3*s - 0*k. What are the prime factors of 1309\/21 + -1 + (-2)\/s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -10.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) 5 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 11. Let i be a(-16). Suppose -3*r = -2*r + 2*c - 289, 575 = 2*r + i*c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y + y)*(39451 - 39444 + y - 71*y) to x + j*y + k*y**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -523 + 1?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/732 and 49\/30348.\nAnswer: 1851228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldag when four letters picked without replacement from {l: 1, d: 2, g: 5, a: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/122606 and -23\/14262.\nAnswer: 874303386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 12c?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 14*f**3 + 3*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -571*j*r**2 + 6*j*r + 15*r**2 - 530*r wrt r.\nAnswer: -1142*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 58*v**2 + 260*v - 226. Give d(-53).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851639778.\nAnswer: 2, 3, 11, 1433737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let z(q) = -3*q + 3*q - p*q. Let k(j) = -2*j. Suppose 17*w - 21*w - 20 = 0. What is w*k(h) + 3*z(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 57.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 2*h - 350, 275 = 3*j - 4*h. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z**2 + 21*z + 13. List the prime factors of u(-11).\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 - 288*a + 72*a + 0 - 317*a in the form n*a + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:57 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.2 (b) -1\/9 (c) -4 (d) -1275.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(2*sqrt(128) - sqrt(128) - 5*(-1 + sqrt(2))))**2 + (3 + sqrt(72) + -4 + 1*sqrt(72))**2*-4.\nAnswer: -1114 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 9 + 42 + 46 - 97.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762652099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 l when three letters picked without replacement from mlmmkkqkjmmkkqkj.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 75 = 8*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -2 (b) -0.4 (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11181 is divided by 2182.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 3. Let w(t) = t**2 - 5*t - 13. Let o be w(7). Let g be q(o). Which is the closest to -1? (a) 4 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 19.3, 1, 13\/3 in ascending order.\nAnswer: 3\/5, 1, 13\/3, 19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2255675.009929 - 2255674. Let d = -0.32 - 0.69. Let q = t + d. What is q rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59620439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 - 1043570*m**2 + 54574849645*m - 12821607562780 = 0. What is m?\nAnswer: 236, 104239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.9 - -20. Which is the nearest to v? (a) -4 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776\/3 + ((-112)\/24)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0676098106 and 1.\nAnswer: 0.9323901894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 31*j = 258 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -373 by 83.\nAnswer: -373\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + 3224\/(-16). Let s = q - -201. What is the closest to -4 in -0.1, 0.4, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1740257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:33 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2607 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4\/5)\/(-2))\/(81\/45). Which is the nearest to 0? (a) 0.4 (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:00 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 451 - 275. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*a + 92, 3*a - 37 = -5*b + 81. Suppose 0 = 2*x - 2 - 0. What is the units digit of (-2)\/(b\/(-22) + x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -21. Suppose 62 = 4*l - 2*u, -5*l + 61 = -g*l + 5*u. Calculate the remainder when 52 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 147*s**5\/8 + 1239*s**4\/4 - 6063*s**3\/8 - 597*s**2\/4 + 672*s - 228 = 0?\nAnswer: -19, -1, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -25, 0, -85, -20, 2 in descending order.\nAnswer: 20, 2, 0, -20, -25, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -710880 = 44*n - 26060116. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (-18 + 4 + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(((-2)\/(-3))\/(1008\/54)). Let t = 110 + j. Suppose -k = 4*k + 4*u + t, -24 = 2*k + u. Let z(f) = f + 18. Determine z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 212. What is h(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923237691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.9083 - -0.0917. Which is the fifth smallest value? (a) 1 (b) 3 (c) 2 (d) 4\/13 (e) l\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -5. Let b(x) = x**2 + 4*x - 7. Let i be b(j). Suppose s - 5*p = 27 + 16, -4*p + i = 5*s. Calculate the highest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.082 + -4606.\nAnswer: -4606.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/2 - 49*p**3\/6 + 147*p**2 - 2*p - 1. Determine t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206279420 and 4975?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, i: 3, p: 5, c: 5, s: 4}. Give prob of sequence cssm.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 6596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371101 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**3 + 10*u - 5*u - 5*u.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 2.8 (c) -14199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -621.9426 - -622. Let l = o + -0.0006. Round l to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10 - a - 1 + 9*a. What is the units digit of c(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473302 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*h**4*o - 7*h**2*o + 163*h*o + 26437*o wrt h?\nAnswer: -92*h**3*o - 14*h*o + 163*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnooooonooo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + q**2 + 43*q + 8. Give t(-5).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 5*t**2 - 5*t - 3. Let k be h(6). Let q(p) = -4*p**3 - 3*p**2 + 4*p - 2. Let m(d) = -d**3 - d**2 + d. Determine k*m(u) - q(u).\nAnswer: u**3 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-22)\/14 - 135576\/441. Let u = 357 + g. Calculate the remainder when u is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5\/64, -0.2, 10\/9?\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 17. Determine a so that -12*a**t - 18*a**2 - 12*a**3 - 8*a**3 + 5*a**3 - 3*a = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 306 - 15*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 - 9*m**2 - m + 6. Let u be w(-6). Suppose s - u = 4*s. Round s to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.41 - 0.01. Let d = 0.27 - 0.67. What is the nearest to 2\/5 in d, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + (-2)\/2 + -1. Solve 0 = 2*p + 5*t - 10, -3*p - r = 2*p - 4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 3, j: 1, i: 1, s: 3}. What is prob of sequence sq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**2 - 9*n - 24. What is y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 1 + 4 - 5.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984 and 488796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wbbrqawrawjraaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1608*y = -1611*y - 22, 2*p - 29 = 3*y for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 66*q**2 + 4734*q + 24957. Determine y(-66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -198, -449, -800, -1251, -1802?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-12 + 7)) + (-13 - -14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 0, -4, 5, 4 in decreasing order.\nAnswer: 5, 4, 0, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 4930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -2*x**5\/5 - x**3\/3 + x**2 + 3*x + 12. Let m(l) = 9*l**3 + 3*l - 3. Calculate 2*m(u) + 3*q(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 14*q - 33. Let r be g(-3). Let z(p) = 53*p - 346. What is the remainder when z(r) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(20)\/sqrt(4)*1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {f: 1, z: 8, x: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1046 - -1049. Let w(g) = -g**2 + 3*g - 1. Determine w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -185*o**3 + 2210*o**2 + 8445*o + 450 = 0. What is o?\nAnswer: -3, -2\/37, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 2. Let r be p(3). Suppose 0*n = r*n - 4. Which is smaller: n or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*((-275)\/(-22) + -12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (-480)\/(-36))*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33671003\/3 < 11223668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6*n = -5*n - 147, 153 = 5*c - n. Suppose i - 4*f - 24 = 0, -5*i + 3*f + 45 = -143. What is the highest common divisor of i and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhluhhhhllhhhhhu. What is prob of sequence lu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-7 - 37) + -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -68\/15, 5?\nAnswer: -68\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -4 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g + 3624060 = 2*a + 3624243, 3*a = 2*g - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -920362913821.8.\nAnswer: -920362913813.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/1972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*g + 25 = -131*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 1.6. Let t = 2\/47 + 35\/282. What is the nearest to -1 in t, d, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 19*z - 61 + 21. Put z, 1, -2, -20 in descending order.\nAnswer: z, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*w**3 - 5*w**2 + 4*w + 15036?\nAnswer: -111*w**2 - 10*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 26474?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*2*4\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 624, 5, -0.1, -42, 9\/4?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -85. Let y = 13.5 + r. Round y to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lryyyrrlyrrlyrrly. What is prob of sequence yyyr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3553*m**3 + 7109*m**3 - 3573*m**3 + 31*m)*(4*m - 3*m - 5*m) as d*m**2 + w*m**4 + i*m + h + n*m**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238535 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((1665534\/312)\/(-163)).\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 4*v**2 + 2*v**2. Suppose -3*g = -2*g - 2. Let w(u) = -g*u + 2*u - 3*u. Calculate w(h(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14690156 is divided by 485?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 + 4*c**5 - 6*c**5 + 0*c**5 + c**5 - 3*c**5 + (-5*c + 2*c**2 + 5*c)*(-3 - 2*c**3 + 3).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*c - 1761 = -7242, c = -3*b + 16495. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32003*k = 31963*k - 1560 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 3*q - 1. Calculate the remainder when 1 is divided by z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -45, 7.4, -5\/3, 1, 30, 4 in ascending order.\nAnswer: -45, -5, -5\/3, 1, 4, 7.4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.059 + -0.16. Let x = g - -0.1010101. Round x to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*q - 343 - 3, 5*p - 4*q = 1778. Suppose 5*i = -3*s + p, -i = 5*s - 13 - 63. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from guyyquqqqgqgfugggyqf.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose 10 = -t + 3*t. Suppose -4*j + 3*k + 93 + 250 = 0, t*k = r*j - 345. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/784)\/(1\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 89, 94 in decreasing order.\nAnswer: 94, 89, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(128)*-2*-6.\nAnswer: -384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**2 + 14*g**2 + 64*g**2 + 5*g**2 - 25*g + 26*g**2 to p*g**2 + z*g + y and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 28. Let v(h) = 2*h**3 + 13*h**2 - 7*h + 8. Let x be v(-7). Let i = x - t. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 96*x**3 + 900*x**2 + 2352*x + 1920.\nAnswer: -3*(x - 40)*(x + 2)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150344333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 24 = 76670*t - 76673*t, 2*h + 225 = -5*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 - 31*n + 71. What is t(6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, 0.03, 98\/27, -5, -0.045, -1\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 59*q - 2*q - 1564 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*b - 21*b**3 + 130*b + 121*b - 377*b - 5 to w + k*b**3 + x*b + j*b**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 246. Let w = -112 + d. Is -5 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 + 3*l + 2. What is c(6)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 4 + 2 + -8 + 27 + 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.24 and 0.2362.\nAnswer: 0.4762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 548 - 193. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*k + 4 = -k - 10, 2*k - 18 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/552 and 5\/92.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3318*p**2 + 2*p - 2184*p**2 + 2041*p**2 + 3580*p**2.\nAnswer: 6755*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6350 - 1119 + 703 = -258*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 516415 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.083?\nAnswer: -0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1235.2 + 1235. Sort 3, 0.17, -15, t in ascending order.\nAnswer: -15, t, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*u = -3*t, -4*u = 5*t. Suppose t = -5*k + k - 2*z + 66, 5*k - 5*z = 60. What is the remainder when 58 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 38*b - 342. Let u be j(23). Solve -11 = -3*k + 5*f, -f - 4 = u*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)\/s**9*s**25*s**(-5\/8) assuming s is positive.\nAnswer: s**(107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 8900935877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 13*z**2\/6 + 10*z\/3 + 50\/3.\nAnswer: (z - 10)*(z - 5)*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*l + 53*l + 48*l + 34*l as p*l + d and give p.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11389?\nAnswer: 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 8*k**3\/9 - k**2 - 2*k\/3 - 1. Factor s(o).\nAnswer: 2*(o - 1)*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125.99906 - 126. What is i rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.8 - 13.12. Round j to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*n**2 + 2*b*n + 12*b + n**3 - 11 wrt n?\nAnswer: 4*b*n + 2*b + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.774442 years to millennia.\nAnswer: 0.001774442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 3, y: 16}. What is prob of sequence byyb?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 190912, 190911, 190910, 190909, 190908, 190907?\n\"Answer: -y + 190913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.652 + -0.048. Let z = 4 + o. Let g be (-2)\/8*(-8)\/(-10). Put 0.2, g, z in descending order.\nAnswer: z, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -194. What is the least common multiple of d and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12996 and 3756699.\nAnswer: 285509124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831088 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852486 + 312218 = -17428*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -9, 0.3, -1\/3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30885\/255 - 4\/34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61548, 61534, 61490, 61398, 61240, 60998, 60654, 60190?\nAnswer: 59588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12829094 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*u = -11, 4*w - 5*w + 3*u - 1 = 0. Let v(n) = -2*n**w + 4*n**2 - 4*n**2. Let f(r) = 2*r. Calculate v(f(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 8*h + 23 - 27)*(-9*h - 26 + 26) + 0*h + h**2 - 3*h + h.\nAnswer: -80*h**2 + 34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/27)\/(5\/(-10))*-6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 11084*u - 11088.\nAnswer: 4*(u - 2772)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 1, 3, 45 in decreasing order.\nAnswer: 45, 19, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose 0 = -i + 1 + 1. Suppose i*a = -3*q + 45, -52 = -0*a - 2*a + l*q. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 7991*v**2 + 10*v**3 - 7705*v**2 + 15696*v**2 + v.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/37 - (12 + -3 + -5).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*-3*(sqrt(99)*3 - sqrt(99)))\/(sqrt(9) + (sqrt(900) - sqrt(900)*-1) - -1*sqrt(36)).\nAnswer: -72*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7639081, 7639079, 7639079, 7639081, 7639085, 7639091?\nAnswer: 7639099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-5))\/3*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 32251?\nAnswer: 645020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.225 + 0.205.\nAnswer: -13.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -24*y**4 + 22004*y**3 - 302608*y**2 - 671324*y - 346688 = 0.\nAnswer: -1, 16, 5417\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -2)*(-8)\/220?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 7*z - 1. Let u be c(-7). Let d = 200 + -196. Suppose -2*r = 6*p - 7*p + 1, 5*r - d*p - 5 = 0. Sort 7, u, r, -2 in increasing order.\nAnswer: r, -2, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -12129.\nAnswer: 29\/12129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39754543 and 470352.\nAnswer: 9799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.943166ml to litres.\nAnswer: 0.008943166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -149, -454, -1039, -2000, -3433?\n\"Answer: -16*p**3 + 4*p**2 - 21*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136295 or 136294?\nAnswer: 136294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 0.04. Let r = u + -3.9. Let s = 308 + -307. What is the nearest to 0.1 in s, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -37. Let h(x) be the third derivative of -x**7\/2520 + x**6\/180 + x**5\/60 + x**4\/3 - x**2. Let u(q) be the second derivative of h(q). What is u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 108*d**2 - 3814*d + 209. Give q(28).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 728152011 to the power of 1\/2, to the nearest integer?\nAnswer: 26984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -35. Let h be 9\/u - 23\/(-2). Calculate the highest common factor of 99 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 + -2) - (-1186 + 1198)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**2 + 5*h**3 + 9*h**2 - 6*h**2 + 6*h**2 wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/33)\/b)\/(b**(3\/22)\/b))**(16\/9))**(9\/5) assuming b is positive.\nAnswer: b**(-104\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.7 + -49. Let u = 9.3 + -13.3. What is the nearest to 0 in q, 1, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**6\/720 + d**5\/120 + 5*d**4\/12 - 2*d. Let g(p) be the third derivative of u(p). What is g(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 3*v - 2*v + (-611 + 611 + 107*v)*(-2 + 6 - 3) + 6 - 4*v + 1 - 2 to the form g + n*v and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = 4*u. Let w be (0 - -3) + 9\/(-18). Factor -7\/2*b**u + b + w*b**3 + 0.\nAnswer: b*(b - 1)*(5*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/119 - 546\/(-19890).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53546 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*x**2 + 31*x**2 + 879 - 2*x**4 - 881 as s*x**2 + i*x**3 + a + r*x + g*x**4 and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3700 + -3641. Calculate the remainder when 648 is divided by l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 less than 0.0162?\nAnswer: 95.0162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -64. Let l(z) = 4*z**2 - 4*z + 4. Let y be l(x). Is 27 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -4, -21, -56, -115, -204, -329?\n\"Answer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 30 in descending order.\nAnswer: 30, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 7.43193\nAnswer: -7.53193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:35 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -53, -0.4, -12\/251 in decreasing order.\nAnswer: 0, -12\/251, -0.4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777639 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1000, 934, 778, 478, -20, -770?\n\"Answer: -9*d**3 + 9*d**2 - 30*d + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 57, 4, 5, -3 in descending order.\nAnswer: 57, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2\/11)*m**(-1\/5)\/m*m**(-1\/11)\/(m**(-3\/7)*m) assuming m is positive.\nAnswer: m**(-262\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.3 + -37.7. Let h = -12.6 - t. Round h to 0 dps.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7002788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2868467+223169\nAnswer: -2645298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-4)*(-12)\/21. What is the remainder when (-1)\/s - 37\/(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 12. Let x(w) = -3*w. Determine v(x(r)).\nAnswer: -3*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105.3 + 20.4. Let i = 85 + t. Suppose -3*g + 4 - 1 = 0. Which is the third biggest value? (a) 0.5 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzmebzbeb. What is prob of sequence embz?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 - 4*w - 1. Let i be a(3). Solve -i*b - 14 - 11 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwrvrbvrrrbbrw. What is prob of picking 2 b, 1 r, and 1 w?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**7\/105 + 7*c**6\/25 - 49*c**5\/25 - 71*c**4\/15 + 33*c**3\/5 + 121*c**2\/5 + 2*c + 221. Let y(v) = 0. What is v?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 48\/5, 1\/7, 2\/15 in ascending order.\nAnswer: -0.06, 2\/15, 1\/7, 48\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -88.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 + 2\/4. List the prime factors of c + 0 - -3 - -12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**2 - 28*a + 128. Let c(j) = 7*j**2 - 28*j + 129. Let g(w) = 7*c(w) - 6*t(w). Let x be g(0). Calculate the greatest common divisor of x and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(-14)*(r\/(r*r**6))\/(r*r**(-7)*r*r))\/((((r**(1\/2)*r)\/r)\/(r**(-7\/5)*r))\/(r\/((r*r**(-2\/7))\/r))**43) assuming r is positive.\nAnswer: r**(3387\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuz when three letters picked without replacement from {b: 7, j: 3, m: 3, u: 2, k: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31505, 62970, 94433, 125894, 157353, 188810?\n\"Answer: -x**2 + 31468*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3742 + -3742.3106. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.817 + -3.53. Let r = v + -0.087. What is the closest to -1 in r, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9213 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -24621488?\nAnswer: -24621494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/2 - 10467273*m - 20934544 = 0.\nAnswer: -20934544, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*h = -70, 0 = 5*h + 7 + 3. Suppose 36 = 3*i + d. Solve -3*v = v + i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178 and 0.5?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.49 take away -2?\nAnswer: -17.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 688959 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -0.31.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12)*-2*(-4)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139053609 and 95877?\nAnswer: 417160827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -588 - 46456?\nAnswer: -47155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + m + (-3*m - m - 4*m)*(8 - 14 - 5) to q + z*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a - 584 = 898 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -50.836?\nAnswer: 152.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 61\/4, 0.1, -2\/21, -5?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1 - 2300*n**3 - 2*n**2 + 2306*n**3 + 0 + 3*n. Let k = 5 + -4. Let d be a(k). Solve 3*o = 4*t - 9, -o + 3 = -3*t + d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 830, 1235, 1634?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -237.1974 - -0.370159\nAnswer: -236.827241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*n = 112*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 3 - 3)*(3 + 2 + 3) + 0*w - w - w + w - 4*w + w + (1 + 0 - 2)*(-w + 0 + 0) to i*w + p and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 346550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 400?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(16\/40)*(-72)\/1224?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 24797 = -3*s - 63112, 5*o - 38315 = -s. What is the highest common factor of o and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - (-4 - (-9 + 5)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*s - 54, -s = -4*p - 0 + 93. Calculate the common denominator of 35\/8 and 1 + 1 + 0 + (-164)\/p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17117 is divided by 13206?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 30100?\nAnswer: -30130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 5, -28, -0.5, 0.2, -1.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 2*y + 7*y - 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2101\/1257 - 2\/419. Sort -1\/2, p, -3 in decreasing order.\nAnswer: p, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59621316929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + a - 11 = 2, 2*u - a - 7 = 0. Suppose -5*b + 2*k = -2, -3*b + 18 = -u*b + 5*k. Sort -2, b, 0 in decreasing order.\nAnswer: b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c - 4. Let v be k(4). Suppose 0 = -4*y + 136 - v. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 30 = a. Let y(d) = d**2 + 7*d. Let u be y(a). Let v = 9 + u. Solve 4*o + v = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 85 = 4*g, g - 36 = -g - 4*w. Let b be (-42)\/35*g\/(-6). Let o(h) be the first derivative of h**2\/2 - h - 3. Calculate o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15*m + 340 = 0. What is the lowest common multiple of m and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48964210 a multiple of 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13305378 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -46, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26826, -53574, -80322, -107070?\nAnswer: -133818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.28108um to kilometers.\nAnswer: 0.00000009728108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-1)\/(-6)). Let i = v + 9. Suppose i*j + 0 - 4\/7*j**3 - 2\/7*j**2 - 2\/7*j**4 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 + 1 + 12)*-21 + (-2 - -4). Let o(c) = c + 4. Let r be o(-2). Let j be 1 - 1 - (-108 - r). What is the greatest common factor of l and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13117\/5 + -2623. Let d = 0.1 - -0.1. Let p be (-4)\/6 + 8\/21. What is the nearest to n in p, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 629*j*r**3*t**3 + 3*j*r**2*t - j*r*t**2 - 162*j*t**3 - 2*j*t**2 - 24*r*t**2 + 2*t**3 wrt r?\nAnswer: 3774*j*r*t**3 + 6*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 86 times 0.4\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**3\/6 + o**2 - 10*o. Let z be l(8). Let f(q) = q**2 - q - 3. What is the tens digit of f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d = -d. Suppose -2*y - 3*w + 141 = 0, -2*y + d*w + 3*w = -147. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (0 + 0 + 3 + -2)) + 349 + -396?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -711*g**3*u + g**3 - 27*g**2*u + g**2 + 301226*g*u wrt g?\nAnswer: -4266*g*u + 6*g - 54*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = 4*l, 5*o - l = -0*l + 11. What is the lowest common multiple of o and 2\/(-7) - (-32)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1235 - 344?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/60 + 2*y**5\/15 - y**4\/4 - 126*y**2. Factor b(l).\nAnswer: -2*l*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.01 (b) -1121 (c) 0.5 (d) 3 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (279027\/22145)\/(7\/45)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1368*l**3 - 37 - 680*l**3 - 689*l**3 - 2*l**4 - 2*l to the form m*l**4 + w + v*l**2 + n*l + o*l**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f + 746. Give h(64).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -85\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**6\/40 - 3*b**5\/20 + 2*b**3 + 11*b**2\/2 + 12*b. Let a(u) be the first derivative of z(u). Factor a(w).\nAnswer: 3*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 24 = 0. Factor 4*h**2 - b + 3*h - h**2 + 0*h**2.\nAnswer: 3*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159\/(-636)*(-8)\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c**2 - 22*c - 46. Let i be l(-2). Let n = 20 + -30. Let r be 102\/((-1)\/(n\/3)). What is the greatest common factor of i and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzrcjrjjrjrjrzjj. Give prob of sequence rr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 14 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 78122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*f - x - 47, 21 = -3*x. Let z = 38 - 18. What is the smallest common multiple of z and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 times 3?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/60 - 7*p**4\/12 - 41*p**3\/6 + 8*p**2. Let x be w(17). Solve -5*o - x = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22405426 (base 7) to base 8\nAnswer: 7343467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 8*s - 22)*(-29 + 29 - 18*s).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwh when four letters picked without replacement from wwwwwwhwwwww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = 53*n + 34*n + 340 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83433489 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n - 1. Let i(a) = 5*a**2 - 24*a - 4. Let u(b) = -i(b) + 5*x(b). Give u(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 84887030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*p - 7*p + 517 + 203 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*t**3 + 155*t.\nAnswer: 246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -0.2, -1.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 117*i - 138. What are the prime factors of p(26)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713.0509 micrograms to milligrams.\nAnswer: 0.7130509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/30 - x**4\/8 - x**3\/2 - 6*x**2. Let y be a(3). Suppose y*t - t = 5405. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89\/132 - 7\/12. Let v(n) = 2*n + 3*n - 8 + n**2 + 3. Let s be v(-6). What is the closest to -0.1 in s, 4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283497\/(-48141)*1\/(-53).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**4*z**2 + 60*c**3*z**2 + 2*c*z - 4*c - z**2 - 150 wrt c?\nAnswer: 228*c**2*z**2 + 360*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12867.73 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10*1*(-5 - (-148)\/8) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 13*o**6\/120 + 7*o**5\/30 - 6*o**2. What is the third derivative of d(v) wrt v?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 + 557*z\/4 + 561.\nAnswer: -(z - 561)*(z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 5*x**2 - 3*x + 10. Give p(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3500) + -2*sqrt(3500) + -6*sqrt(35)*-2)\/(2*sqrt(10)\/sqrt(2)*6).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**3 + 4*x**2 - 6*x - 309. Let i(m) = 41*m**3 + 15*m**2 - 23*m - 1237. Determine -3*i(n) + 11*l(n).\nAnswer: -2*n**3 - n**2 + 3*n + 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 10*f - 7. Suppose 0 = -v - 3, m - 4*v + 9 = 31. Let q(i) = -i**2 + 14*i - 4. Let b be q(m). Let h = 46 - b. What is d(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825154 to the power of 1\/2, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from shhhhhhvhhh?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 70 = 4*x, -3*x + 44 = -2*g - 3*g. Let n(q) = -5*q**2 + 18*q - x*q. Let m(b) = -2*b**2. Calculate m(n(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 8 (b) -1\/3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 3. Let v(r) = -7*r + 8. Let m = -1 + 4. Let s(y) = m*v(y) + 8*c(y). What is s(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = j - 2*j - 5*f, 3*j - 823 = -4*f. Let d = 292 - j. What is the greatest common factor of d and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3686098.\nAnswer: 2, 13, 141773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, i: 12}. Give prob of picking 4 e.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 12*v + 6. Let n(o) = o**2 - 11*o + 5. Determine -4*n(j) + 3*q(j).\nAnswer: -j**2 + 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/35*2\/((-36)\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -242*o**3*q**3 - 1329*o**3*q**2 + 95*o**3 - 2*o**2*q**2 + 3*o**2 - 4*o*q**3 - 4*o*q + 58*q**3 - 249*q**2 wrt o?\nAnswer: -1452*q**3 - 7974*q**2 + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 + -0.06. Let l = 48\/101 + -346\/303. What is the second biggest value in 4, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1602*y + 11. Let u be q(-4). Suppose 0 = -0*v - 7*v + u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10*(-2)\/(-28)*(-609)\/174)\/3.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384.023544 + 73.023557. Let c = n + 311. Round c to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-10)\/(20*-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u + 13. Let o(n) = 9*n - 7. Let a(x) = 11*o(x) + 6*w(x). Let c be a(-6). What is the greatest common factor of 171 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5133319 is divided by 680?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 5*i**2 + 5*i**2. Let x(r) = 5434*r + 5432*r - 10866*r - 21*r**2. What is x(z(n))?\nAnswer: -84*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/4)*k\/(k\/(k**(-1\/5)\/k)*k)*(k**3)**(-37) assuming k is positive.\nAnswer: k**(-2269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/190*(2\/(-2))\/(42\/12)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151090364 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 7*i - i)*(-3 + 4 - 8) + 0 + i + 0 + (-114 + 114 + 14*i)*(5 - 2 - 4).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2 - 7*b**2 + 2*b**2 + 79*b - 83*b - b**3. Is a(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 729602797 + -15341099247. Let c = d - -14611496510.99999961. Let r = c - 61. Round r to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -32. Suppose 0 = -w*c + 261 + 259. Is 30 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:17 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496993.2 meters to micrometers.\nAnswer: 496993200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*3\/(-6) - 3. Let k(f) be the first derivative of 6*f**3 + j*f**3 - f**2 + 9*f + 7*f**2 - 5 - 5*f**3. Factor k(u).\nAnswer: 3*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304.8 - 304.7999997854. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(2 + 30\/(-9)). Let w be (4\/50)\/(f\/40). Determine z, given that -w - 5*z**2 + 4*z = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338536 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**3 - 3*a**3 + 2*a**3)*(1 + 0 - 2) + a**2 - a**2 + a**3 + (-89*a**2 - 37 + 37)*(2*a + 0*a + 0*a) to the form z*a**3 + x + g*a + v*a**2 and give z.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18 and 67\/4098.\nAnswer: 12294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, 63, -4, -2, -0.07, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8219898 (b) 0.3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -606 <= -526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 2 - -7*3)*-1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15*r**2 + 4 + 26*r**2 + 130*r**2 to o + g*r**2 + l*r and give g.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340946.\nAnswer: 2, 3, 23, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3 - 4*t + 2 - 2 + 4*t**2 + 6 + 3*t**3. Let y be c(2). Suppose -3*z - 3*g = -2*z + 12, 5*z - y = 4*g. Solve -2 = z*o + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83353079*g**6 + 235858318*g**2 wrt g.\nAnswer: 10002369480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 18*k + 8575 = 0. What is the third derivative of 517*h**2 - k*h**2 + 129*h**5 - 338*h**2 wrt h?\nAnswer: 7740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*z - 45, 76 + 19 = f + 5*z. Suppose -4*l + 6*l - f = 0. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. Suppose 3*m - 29 = y, 49 = o*m - m - y. List the prime factors of 25\/m + 1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3692, 3698, 3708, 3722?\n\"Answer: 2*m**2 + 3690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10417393\/98 + (-2)\/(-28). What is o rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-3))\/(66\/(-99))*(-20)\/10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19307*m**2 - 2 + 12410*m**2 + 6917*m**2.\nAnswer: 20*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + sqrt(99)*-2)*2.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 10795085337153 and 11.\nAnswer: 10795085337164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1476 and 2460?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2265 + -1152. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000353445049 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {v: 8, n: 2, p: 3, o: 7}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 66, -3, -2 in ascending order.\nAnswer: -3, -2, 2, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -285, -276, -265, -252?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, v: 4}. Give prob of sequence vaaa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 - 194037*l + 96342350 = 0.\nAnswer: -195025\/2, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - (sqrt(144) - (sqrt(144) + (sqrt(144) + sqrt(144)*-1)*6)))\/sqrt(9))\/(4*6*(sqrt(8) + sqrt(72)))*-3.\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 + 137415*s**3 - 1573229907*s**2 - 7870409955*s + 9443502450 = 0?\nAnswer: -6, 1, 22905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:30 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a. Let r(l) = 34*l**2 + 5*l + 6. Let v(d) = -18*d**2 - 3*d - 3. Let s(q) = -3*r(q) - 5*v(q). Determine f(s(o)).\nAnswer: -108*o**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/((-16)\/(-32))*-15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12*k**2 + 2157*k - 17250. Give o(8).\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/9))\/(h\/(h*h**(-1)\/h)))**36 assuming h is positive.\nAnswer: h**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-2 - 0 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**14\/((l*l*l*l**8*l*l)\/l*l\/(l*(l**(-7\/3)*l)\/l)*l) assuming l is positive.\nAnswer: l**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Suppose 0 = 4*a - 2*a - 10. Suppose -5*m + 220 = a*v, 5*v - 4*m - 208 = v. Let o(u) = 4*u - u + v - 48. What is o(l(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*l - 908 = -2*y - 72*l, -4*l = 24. What is the remainder when y is divided by 126?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 22668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5208 = -105*p + 194*p + 97*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1068 and 1068.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z - 4. Let j be ((-4)\/10)\/(4\/60). Let f = -1 - j. Does 14 divide c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3611 + 14445\/4. Which is smaller: i or 1056?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppfpipip. What is prob of sequence ii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.225 or -120?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1758647139353 and -1.\nAnswer: -0.8241352860647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*230\/(-414)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + 127*b - 589. What is the remainder when z(5) is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 - a - 2. Let f = 494 + -498. Determine b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Which is the closest to 2\/7? (a) -2\/13 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(189))\/(sqrt(7) + (2*sqrt(252) - sqrt(252)) - sqrt(7)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.044993918 times -0.3\nAnswer: 0.0134981754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l + 29*l + 816 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-24)\/16)\/(-9) - 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 13*d**2 + 10*d + 26. Let i be t(12). Suppose 3*p = 3*y + 11 - i, -9 = -4*p + 3*y. Factor p + 2\/13*m + 14\/13*m**2.\nAnswer: 2*m*(7*m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324 - 321. Suppose -f = 5*l - 5721, -2928 = -u*l - 5*f + 487. List the prime factors of l.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 59 + 757*b - 17 - 24 in the form h*b + v and give h.\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + p = 13, f + 0*p + 5*p - 1 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2*m**2 + m**2)*(m - 1 + 1) + (-2*m**2 - 3*m**2 + 3*m**2)*(-2*m - 2*m + 0*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-18))\/((2574\/(-260))\/99)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5370000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465.7 rounded to the nearest ten?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) 33309 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-7 - 2) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13274\/3169 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*g + 86, 3*d = 2*d - 4*g + 50. Suppose -10 = 3*v - d. Let w = v - 8. Solve 5*q = w, 3*y - 17 + 2 = 5*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -55. Suppose -f*w = -2*h + 3456, -30*w + 29*w = 5*h - 8640. Does 54 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 4*r**2 + r - 9. What is v(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8649861*r**4 - 13742356*r**2 wrt r?\nAnswer: 207596664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1312.92 + -1313. Let h be (-10)\/(-16)*6\/15. What is the closest to u in 0.4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1580 and 40?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*i + 0 + (75 + 53 - 14)*(-2 - 2*i + 2) to the form z + t*i and give t.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6034 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 = -9*v - 33. Let y(p) = -v*p**2 + 125*p**2 - 58*p**2. Let w(u) = 2*u**2 + 27. What is w(y(b))?\nAnswer: 18*b**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -862, -1992, -3386, -5044?\nAnswer: -6966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 13. Suppose s - 31 = 5*z, 0 = -s - w*s + 2*z + 178. What is the highest common divisor of s and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/21*3*(-371)\/159.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -617 - -653. What is the remainder when 257 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.75 + 6.9. Let b = j + 1.152. What is b rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -767 - -833. Let d = -49 + 34. Let s be (-2)\/5 - (4 + m\/d). Solve 0*k - k = s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 8 = 0, 35*t + 2 = 5*q + 38*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -130*w + 17194. Determine b(136).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {r: 2, d: 1, i: 4, t: 2, u: 3, m: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 33) + (4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 5:55 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28515.702 microseconds in minutes?\nAnswer: 0.0004752617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*i - 8 = 7*i, -5*w + 2*i - 7 = 0. Let f be 69\/(241 + -34)*(-15)\/1. Sort -11, w, 5, f.\nAnswer: -11, f, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419*s + 399*s - 6877*s.\nAnswer: -7897*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 69*h**2 - h. Let s be r(-5). Let k = 10295\/6 - s. What is the common denominator of k and 59\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**6\/300 + 11*z**5\/200 - 7*z**4\/20 + 16*z**3\/15 - 8*z**2\/5 - 29*z. Factor h(i).\nAnswer: -(i - 4)**2*(i - 2)*(i - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 0*o**3 - 3*o**3 + (-452*o**2 - 50*o**3 + 452*o**2)*(0 - 2 - 1) + (4*o + 2*o - 4*o)*(6*o + 3*o**2 - 6*o).\nAnswer: 154*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -224\/487 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3576, -7152, -10728, -14304, -17880?\nAnswer: -21456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 866226179 and -0.13.\nAnswer: 866226178.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/97972 and -131\/53844?\nAnswer: 188400156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**36\/(((o\/(o\/o**(-3)))\/o)\/(o**(-3)*o)) assuming o is positive.\nAnswer: o**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 52016489 = 52019189 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2957 + 2957.1. Let a = 3 - 2.6. Let f = a - 9.4. What is the closest to 2 in f, -3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-7)\/(-112)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*v = 180*v + 117 + 191 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - g + 30*m + 52*m = 73, -6*g - m - 6*m = -10*m - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - i - 3*i - 528, -3*d = -4*i - 401. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:23 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s - 59. Let a(j) = -j**3 - 6*j**2 - 2*j + 1. Let w be a(-2). Let l(m) = -5*m + 29. Let b(x) = w*l(x) - 6*y(x). Does 15 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 21. Let s be k(-9). Suppose 16 = s*x + 7. Solve 4 = 4*r + 5*g - 4, -x*g + 8 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/6 + 7*f**2\/2 - 4*f. Let d be u(3). Solve -d = x - 0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 52*o**3 - 176*o. Let a(n) = -2*n**2. Determine b(a(z)).\nAnswer: -624*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1914 + 1920. Solve -11 - 1 = x*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/72 - 4)*231\/286.\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2836031 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35841 or -35848?\nAnswer: -35841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.8, 12316, -12 in decreasing order.\nAnswer: 12316, 2, -0.8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + 10. Suppose -q - 23 = -5*r + 4*r, 2*r = -2*q + m. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 2*w**5 + 2*w**5 + (-26*w - 227 + 227)*(-2 + w**2 + 2)*(0 + 0 - 4*w**2).\nAnswer: 105*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, t: 3, e: 7}. Give prob of sequence td.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - ((-3)\/15 + 3). Which is the nearest to 1\/3? (a) 1\/3 (b) y (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12251250 and 18.\nAnswer: 12251250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**2 - 5 - 3 + 3*j**2 + 7*j**2 to the form c + p*j**2 + g*j and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -855.16 + 42683.16. Let z = n + -41997.57. Let d = z - -167. What is d rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/120 - y**5\/60 + y**4\/24 + 7*y**3\/3 - 2*y**2. What is the remainder when 26 is divided by r(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 3120.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9124242 smaller than 9124241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1626096 divided by -4.\nAnswer: 406524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 239, 798, 1881, 3662, 6315?\n\"Answer: 29*p**3 + p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*r - 21, -47 = -2*z - z - 2*r. What is the remainder when 129 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453195690.\nAnswer: 2, 3, 5, 17, 127, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221.0753 months in millennia?\nAnswer: 0.101756275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 25 + -12 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3328\/6 + 3*(-20)\/90 is divided by 282?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, -1205, -5, -2 in descending order.\nAnswer: 15, -2, -4, -5, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) + (sqrt(165) + -2*sqrt(165) - sqrt(165)) + sqrt(165))\/sqrt(5))\/(sqrt(66)\/sqrt(6)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 16*x - 14. Let h(v) = -2*v**2 - 31*v - 27. Let c(k) = -4*h(k) + 7*q(k). Is 24 a factor of c(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7012454 + -7376862.1.\nAnswer: -14389316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 729399.3 millennia in decades?\nAnswer: 72939930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 4*y + 8. Let r be b(6). Let l = r + 6. Solve a = 2 + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/(-4)*-1. Let v = -21.4 + 71.2. Let k = 51.8 - v. Put k, a, 11, 4 in decreasing order.\nAnswer: 11, 4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4209 divided by 42\nAnswer: 1403\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125.84148 + -130.043. Let p = -59 - -63.2. Let x = p + m. Round x to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34082*q**3 - 19*q**2 + 12*q**2 + 7*q**2.\nAnswer: -34082*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b + 13\/4*b**4 + 135\/2*b**2 - 26 - 1\/3*b**3. What is the second derivative of t(j) wrt j?\nAnswer: 78*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose 47*r - 599 - 33 = 261. What is the least common multiple of r and i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654010521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 d when four letters picked without replacement from {q: 4, k: 3, l: 1, w: 3, a: 2, d: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + j + (-2 + 3 + 0)*(5*j - 3*j + 4*j) + 2*j + 1 - 1 + 3*j + 2*j - 4*j + (-2*j - 3*j + j)*(-1 + 2 - 3).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/((-155)\/55 - -3). Suppose i = 5*f - 185. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + t + 6*t - 1. Let b be g(3). What is the units digit of (b - 0)*-1*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32500.39 milligrams?\nAnswer: 0.03250039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -865 - -1829. What are the prime factors of d?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13775139727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23012, -23035, -23094, -23207, -23392, -23667, -24050?\nAnswer: -24559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 7*l + 1. Calculate b(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 434 + -209. Let k = q + -139. What is the remainder when k is divided by 1 + 1 + 27 + 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 (base 11) in base 14?\nAnswer: ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -225569\nAnswer: 225568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 - 2. Let i be r(3). Suppose 4*s = 3*g - 118, -5*s + 0*g - 153 = -g. Let m = s - i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104763.\nAnswer: 11, 67, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 6*a + 176 - 186 = -s, -2*a + 25 = s for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3928, 8069, 12416, 16963, 21704, 26633?\n\"Answer: -t**3 + 109*t**2 + 3821*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s - 10*s**3 - 16*s)*(-1 + 4 - 5).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 2. Let o(g) = 6*g + 403. Give -4*d(t) - o(t).\nAnswer: -2*t - 411","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z - z)*(-8 + 12 + 11 + (-1 + 1 + 1)*(3 + 0 - 1) - 6 + 4 + 3 - 88 - 68 - 108).\nAnswer: 492*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*m**3*u**2*w**3 + 4815*m**3*u*w**3 + 5176*m**2*u*w - m*u**2*w**3 - 3*m*u*w**3 wrt m.\nAnswer: -48*u**2*w**3 + 28890*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12*p. Let d(h) = 3540*h**2 + 3542*h**2 - 7095*h**2. Give d(z(t)).\nAnswer: -1872*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from uwuuiiiiiuuii.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -23*t. Let f(j) = -6*j**2 + 11*j. Let m(x) = -x**2 + 2*x. Let y(w) = -4*f(w) + 22*m(w). Give y(z(u)).\nAnswer: 1058*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 9:17 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9173 + 0.0127. Let d = v + 0.07. Which is the nearest to 1? (a) -3 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(81)\/sqrt(3)*-2)\/sqrt(9) + -2 - (5 + sqrt(3)*3 - (-6*sqrt(108))**2)).\nAnswer: -5*sqrt(3) + 3881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*b - 2, -b + 2*d - 2 = -2*b. Let x(w) be the third derivative of -w**6\/60 - w**5\/30 - w**3\/6 + 4*w**2. Give x(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 383, 568, 743?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(3225\/15050)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + h - 395 = 386, 2*c + 3*h - 315 = 0. What is the highest common divisor of 36 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/144210 and -71\/17480?\nAnswer: 576840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m - 11 + 3*m + 2 - 8. Let o(r) = 4*r - 6. Determine -17*o(v) + 6*u(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27389713 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + -6*-2*sqrt(143))\/((sqrt(11) - sqrt(44))*1))**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 10, -2*b = -3*n - 2 + 1. Suppose -41 = -n*d + 25. Suppose 0*l = l - d. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 6. Calculate r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 79 - 4*g**4 + g**4 + 6*g**2 - 3*g**2 - 5*g**2 + 2*g**4 to the form n*g**3 + u*g + l*g**2 + i*g**4 + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 18.1\nAnswer: -1.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**5\/70 - v**4\/42 + v + 2. Let m(s) be the first derivative of h(s). Factor m(q).\nAnswer: -2*q**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {q: 1, y: 2, c: 1, r: 4, b: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*j, 4*j + 10*j = -k + 9*j - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10157*y**2 - 17*y + 1. Let k be v(13). Suppose 3123687 = -8*r - k. What is r 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 hundreds digit of 2411742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6313 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4705 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/15 - 6) + 1 + 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**9\/3024 + q**8\/1680 + q**7\/840 - q**6\/360 - 13*q**3\/3 + 24. Let p(f) be the third derivative of s(f). Factor p(o).\nAnswer: -o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 145. Let g = 103 + h. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i + 1. Suppose 2*y = -0*y - 8. Let j be h(y). What is the nearest to 0 in -4, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) -1 (b) -26\/5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 3. Let m(n) = 8*n + 4. Let g(v) = -5*v - 4. Let o(f) = 4*g(f) + 3*m(f). Calculate 3*o(d) - 4*t(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1920) + sqrt(1920)*-1)*6 - sqrt(1920)))\/(sqrt(66)\/sqrt(44) + 3*sqrt(384) + sqrt(6)).\nAnswer: -16*sqrt(5)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let d = -0.4 - w. Let k = 17087 - 17086. Which is the second biggest value? (a) -1\/4 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.02, 0.04, -7 in increasing order.\nAnswer: -7, -1, 0.02, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let x = -217 - -256. Let w(g) = -x*g + 31*g - 22*g - 13*g. Calculate p(w(y)).\nAnswer: -1849*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-9))\/(-1) + (-1360)\/(-612). Solve 0 = -v*o - 5*h + 21, 5 + 13 = -4*o + 2*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + (-618)\/(-30). Suppose 7 + a = 4*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11014525 or 11014523?\nAnswer: 11014523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*w - 3*x, 2*x - 7*x - 12 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 276 = 300. Solve t*j + 55 - 43 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.178 - 0.022. Round j to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -39, -3 in ascending order.\nAnswer: -39, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 991428 and 2130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 49*o + 270. Let v be p(54). Sort 11, v, -8 in ascending order.\nAnswer: -8, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2620 less than -5531?\nAnswer: -2911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -70. Suppose 3*m + 1035 = -3*z, -z - 3*m = n*z + 1733. Let t = -242 - z. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Let v(y) = 13*y**2 - 22*y + 16. Let z(w) = 4*w**2 - 7*w + 5. Let d(n) = -2*v(n) + 7*z(n). What are the prime factors of d(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46764683 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -218127 smaller than -218128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.06 and 2.2?\nAnswer: -2.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 23927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.94 - -2.49. Let u = -732354 - -732354.450157. Let y = u + m. Round y to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 = -1. Suppose 0 = -4*j + z*j - 2*k + 30, 4*j - k - 40 = 0. Let c be 32 + -1*1 + 2. Calculate the highest common factor of j and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 4, 1816 in decreasing order.\nAnswer: 1816, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from fkfykffkffkfk?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 45 = 8*s. What is the least common multiple of 5\/4 + 2\/(-8) and 2\/s - (-440)\/45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + 16. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6218 and -6216 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3808)\/595)\/(4\/10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165380, -165345, -165312, -165281, -165252, -165225?\nAnswer: -165200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f**2 - 3*f)*(-188*f**2 - 97*f**2 - 369*f**2 - 1).\nAnswer: -1308*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -185351*j. Let y be u(-1). Suppose -2*w + 5*o = y - 11376, 4*w + 347995 = o. Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.66 rounded to one dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -5, -0.06, 4\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29580122 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8abd9 (base 14) to base 5.\nAnswer: 41241430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 25 = 18*d. Let u = -627\/5 + 126. Which is the closest to d? (a) 1\/6 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1522302.8 from 5056.\nAnswer: -1517246.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -48)\/(-7) - (-1 + 3). Solve 94*z + o = 96*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11067 - 7*h**2 + 11067.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*c = -12, -2*c = 3*j - 6*c - 16. Let v be (12\/(-10))\/3 - j. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-4))\/((-3)\/(-16)). Factor -92*l**2 - 66*l - 2*l**5 + 2*l**4 - 20*l**y + 0*l**5 - 60*l**3 - 18.\nAnswer: -2*(l + 1)**3*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -56*r**2 - 5*r + 6. Let y(u) = -231*u**2 - 18*u + 24. Let j(f) = 21*b(f) - 5*y(f). Let j(m) = 0. What is m?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 211. Let k(z) = 2*z**2. Determine k(h(i)).\nAnswer: 8*i**2 - 1688*i + 89042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:35 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 21\/(-6))\/((-3026)\/(-68) - 42)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5542.0699736 + -5541.29. Let u = 0.78 - x. Round u to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0*s**2 - 2*s**2)*(0*s + 0*s - 5*s**2) + (3*s - 3*s - 2*s**2)*(-3*s**2 - s**2 + s**2).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1 - 22*k - 18*k - 3 + 43*k. Let a be 4\/20*-2*-10. Let g(h) = -5*h**2 + 2*h**2 + a*h**2. Give g(i(j)).\nAnswer: 9*j**2 - 12*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 533 divided by -37\nAnswer: -533\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9534 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7404779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 6*z**2 + 5*z + 1. Suppose -6*s + 5 = -5*s. Let k be u(s). Which is smaller: k or 17\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 - 282780920*a + 4997815544752900 = 0?\nAnswer: 35347615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00456 - 0.004543637. Round d to 7 dps.\nAnswer: 0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 374\/161?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 181 = 14. Solve -14*m = 71 - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - v + 2541 = 0, -3*v - 798 + 293 = i. Let f be -14*(0 - i\/8). Calculate the common denominator of -1\/7 and f\/(-126) - 1\/(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 133 = -8*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -123014 (base 14) to base 8\nAnswer: -2300472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -4*l - q + 94, -186 = -0*l - 5*l + 4*q for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*z**3 + 98*z**3 - 51*z**3 + 135*z**3.\nAnswer: 258*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 141, 389, 799, 1407, 2249, 3361?\nAnswer: 4779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287438 to the power of 1\/2, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1864)\/(-20) - 2\/10?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-19)\/b**(-1\/7))**(-4\/21) assuming b is positive.\nAnswer: b**(176\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15996*z**2 - 320*z + 58247703 wrt z?\nAnswer: -31992*z - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073947786 rounded to five dps?\nAnswer: 0.07395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/45560 and -179\/510.\nAnswer: 136680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r. Let c(w) = 125876*w**2. Give u(c(y)).\nAnswer: 1258760*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 879.\nAnswer: 8\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -4 + -1*7. Sort -2, t, 2 in ascending order.\nAnswer: t, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*f**3 - 63090*f**2 + 28595*f - 2540 = 0 for f.\nAnswer: 4\/33, 1\/3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 133, 219?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 174, 246, 318, 390?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -67142 and -0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-20))\/((-3)\/6). Let y(n) be the second derivative of 0 + 0*n**2 + 1\/2*n**4 - t*n**5 - 3*n - 2\/3*n**3. Find d such that y(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/2*(0 - 2). Let n = 13 + -12. Let x be 27 - (n - 1)*-1. Calculate the greatest common divisor of k and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - x + 5 = 4*p, 0 = 2*x + 6. Let y(r) = -r + p*r - r. Let t(i) be the third derivative of i**5\/20 + 14*i**2 - 5*i. Give t(y(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 141, -16, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 7. Let b be 8\/(-28) + (-33)\/7. Let u be k(b). Suppose 3*a - 181 = -u*a + 2*g, 4*a - 3*g = 149. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5993 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. Let o = 6 - 4. Let c be (0 + -2)\/(o + 2). Is m greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-37))**(2\/3) assuming k is positive.\nAnswer: k**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*v = 23, -143*p - 4*v = -314*p + 152*p + 50 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629656 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 88*h**2 - 3*h + 3. What is the remainder when k(2) is divided by (0 - (-2632)\/60) + (-12)\/(-90)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4224798420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 12 + 3. Suppose -4*a + 4 = 0, -a = q*h - 3*a - 19. Suppose g = h + 28. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 304 - 239 = -309 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*s = 3, 3*o - s + 3 = -5*s. Suppose -o*a + u + 7 = 2*a, 4*a = -2*u + 14. Differentiate -d + d + 7*d**a - 40 + 29 with respect to d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503 - 249 - 254 - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - -4 - 6 - (-18 + 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -33*n + 1. Let b be p(-1). Suppose -4*r + 4 = 3*t - 29, 4*r - b = -2*t. What is the second derivative of r*s + s + 15*s + 4*s**2 - 2*s wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 16*j + 66.\nAnswer: -2*(j - 3)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*y**2)*(y - 10082 + 10098 - 2*y) in the form q*y**3 + a + z*y**2 + l*y and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) + 2\/8. Let r = 31 + -60. Let z = r + 33. What is the closest to 0 in z, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -16\/3*k + 22 + 2\/9*k**3 + 7\/3*k**2. Determine p so that h(p) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 27 - 44 - 36)*(4 - 4 + i**3) as k*i + v*i**2 + f*i**3 + h and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*1\/(-2) - (2 - 6). Let v = -0.017 + 0.027. Sort u, -2, v.\nAnswer: -2, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 1. Let x(b) = 27*b**2 - b - 5. Let a(g) = 4*p(g) + x(g). What is the first derivative of a(i) wrt i?\nAnswer: 62*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x - 13. Let n be j(-4). Let l = -249 - -143. Let o = n - l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/411 and -179\/1050.\nAnswer: 143850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 4*y - 4*j - 766, -5*y + 3*j = -720. Calculate the greatest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + ((-3 + sqrt(245))**2 - sqrt(245)) + 2)*-5.\nAnswer: -6425 + 1225*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 7*f**4\/24 + 8*f**3 - f**2 + 110*f. Let y(d) = 86*d**2 - 33*d**2 - 55*d**2. Determine y(z(m)).\nAnswer: -98*m**2 - 1344*m - 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddkkkkj. Give prob of picking 3 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + s + s - 15 = 0, -3*f + 12 = s. Suppose -t + 12 = 5*k, -3*k - 29*t = -25*t - 14. Factor 1\/2*o**k - 1\/2*o**f + 0 + o.\nAnswer: -o*(o - 2)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - 2*sqrt(200))) + sqrt(200))**2 + -4.\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:47 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 7, -28.\nAnswer: -28, -3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 34 - 2 + 2*n - 5*n - n. Let c be f(5). Solve -2 = 10*t - c*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(4 + 0 + sqrt(637) + 2)*-6*6*4*-2)**2.\nAnswer: 62705664*sqrt(13) + 502391808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*x + 34, -2*j + 32 = 18*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016674 rounded to six dps?\nAnswer: -0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose -4*d - 25 = d, -m*d = -3*v + 4. Let c = -4 - v. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18 - o + 4044*o**4 - 18 - 9 + 45 + 1285*o**2 wrt o.\nAnswer: 97056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740532 and 1594992.\nAnswer: 20734896","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, t: 2, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -6776228?\nAnswer: 45\/6776228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 9*l + 11*l + 2*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141537 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - x - 22 = 0, -58*i + 3*i - 20 = -54*i + x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188114945 and 955?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6178012*f**2*r**2*v - 21*f**2*r*v - 4*f*r**2*v + 9*f*r**2 + 60*f*v + f + 32*r**2*v + r + 61 wrt f?\nAnswer: 12356024*r**2*v - 42*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**5*z**3*z**(-4\/3))**(-30) assuming z is positive.\nAnswer: z**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 26 = -4*b. Let k be -6 + 4 + 39\/3*2. Suppose -4*p + 0*p + k = -3*t, 0 = -5*t - p - 63. Is t bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4691391129 less than -0.029?\nAnswer: -4691391129.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46\/187 - 4\/11. Which is the nearest to -0.2? (a) -2\/13 (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 70. Let t = 24.03 - f. Let x be 16\/(-12)*3\/(-10). What is the closest to x in -4, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174482, -174471, -174450, -174413, -174354, -174267, -174146?\nAnswer: -173985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 25*w**3\/3 + 5*w + 4. Let r be m(-5). Suppose 425 + r = 5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 1, e: 1, i: 1, h: 1, d: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*j + 15*j + 31*j**2 - 30*j in the form i + d*j + l*j**2 and give d.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 860602899 or 860602897?\nAnswer: 860602897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1887 and 4845187?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7014\/31429?\nAnswer: -7014\/31429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/20 + m**4\/4 + m**2\/2 + 4*m. Let y be u(2). Solve -5*a = 5*c + 10, y*a + 0*c - 2*c = -17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106296 and 927.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769427 is divided by 2961.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 7 + 51*c**2 + 5)*(121 - 906 - 357) to the form a*c**2 + m*c + o and give a.\nAnswer: -58242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-86)\/(-42))*-24\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -337 (base 15) to base 11\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24523 - 22348. What is the greatest common divisor of 60 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 7 - 1. Suppose 0 = -3*u + r*h + 14, 5*u + 2*h + 6 = 4*u. Find the second derivative of -3*m + 3*m + 4*m**3 - 2*m - u*m wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 2, w: 2, i: 3}. Give prob of picking 1 w and 3 i.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -182591245 divided by 5?\nAnswer: -36518249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.864086 days?\nAnswer: 74657030.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 - (6 - (375 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*w + 30, -4*s + w - 2 = -90. Let b be 14\/s*(-6)\/(-4). Let i(o) = o - 2. Let c(v) = 1. Let l(t) = -3*c(t) - 2*i(t). Determine l(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p**2 - 11*p - 3. Does 16 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = -2*g, 11 = -2*q + q - 3*g. Let r be 2\/q + 1 - 100003. What is r rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*w**2 - 6968 - 14*w**3 + 6968 - 91*w**2.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -12, 0.1, -6, 3\/7, -13\/5, -2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1341 or 1338?\nAnswer: 1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1170)\/(-108) - 10)\/(-4 + 9))\/((-14)\/(-8148))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*w + w. Suppose 0*l + 15 = 3*u + l, 0 = -5*u + w*l + 39. Is 6 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*d - 1074 + 1227 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 644750 (base 9) to base 7\nAnswer: 3156504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (17 - (2 + (-3 - -1 - 5)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 3 - 17 - 5*s to t + a*s and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 70*y + 204. Calculate c(-67).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p*r**3 + 7169*p*r**2 - 16*p + 13 wrt r?\nAnswer: -6*p*r**2 + 14338*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d, -7*o = -9*o + 5*d + 43. Suppose -17*m + 20*m - 6 = 0. Factor -2*t - 4*t - o*t - 5*t**m + 20.\nAnswer: -5*(t - 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107694 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 734*w + 3. Let y be -9*15\/(-9)*6\/45. Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4425389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 190*i**2 - 605*i + 410.\nAnswer: 5*(i - 2)*(i - 1)*(i + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from dplmdrtlr.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 9. Let a be 5\/z*2*2. Let x = 14363 - 14364. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-400))\/((-6)\/16).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + ((4*(sqrt(81)\/sqrt(3) + sqrt(27)))\/(sqrt(900)*1 + sqrt(900) + sqrt(900) - sqrt(9)))**2 + -5.\nAnswer: -9059\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*u + 40, 0*j - 7 = -j - 2*u. Suppose -3*x = x + 3*k + 20, 4*x + 12 = -k. Let f be j\/10 + (-819997)\/x. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -496*k**3 - 11*k**2 - 9*k + 18. Let y(f) = 247*f**3 + 5*f**2 + 4*f - 8. What is 4*m(j) + 9*y(j)?\nAnswer: 239*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((5*sqrt(152) - sqrt(152)) + sqrt(152))*-6 + sqrt(152) + 2*(sqrt(152)*2 + sqrt(152) - sqrt(152)) + sqrt(152))\/(sqrt(968)*2*-3 - 5*-2*sqrt(968)))**2.\nAnswer: 684\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = 0, -3*m + 3*w = -2752 - 1895. List the prime factors of m.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i**3 - 11*i**2 - 2*i. Suppose v + v + 3*z + 37 = 0, -4*z + 24 = -4*v. Let o(w) = 8*w**3 + 6*w**2 + w. What is v*o(h) - 6*f(h)?\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 7, g: 3}. What is prob of sequence hgh?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26546 + 26549. Suppose 2*l = -3*l + 20. Sort -3, f, l, 8 in ascending order.\nAnswer: -3, f, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 26 + -17 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 719*w**3 + 6*w**2 - 16*w - 8. Let n be b(-6). Round n to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84912 take away -5.3222?\nAnswer: -84906.6778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 29 + 9. Let x(h) = 4*h + 0*h - n + 9. Let p(q) = -2*q - 2. Let t be ((-2)\/4)\/((-24)\/(-432)). Determine t*p(w) - 4*x(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232350697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/2 - 9*v**4 - v**3 + 18*v**2 + v\/2 - 9 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1983 + 4\/(-8)*4. Suppose -4*o - 513 = -w. Suppose o = 15*t - 2708. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 2.45. Let j = -3 - y. Which is the smallest value? (a) -2 (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2151*s + 29 = 5*l + 2143*s, 0 = -5*s - 40 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111636254 by -1924763.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d + 226 = 75*d + 75*d. What is the smallest common multiple of d and 6948?\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 536*j**2 - 32508*j - 131. Calculate s(-55).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0, -3, 157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610220 divided by -10?\nAnswer: -61022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (-33 - -37).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -34 - 74907\/(-2349)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1 + 10*s + 3 - 4. Suppose -z + 22 = -d, -z - 2*d = 3*z - 76. What is the lowest common multiple of z and l(2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179226?\nAnswer: 2, 3, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by -1?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/11)))\/(c**1\/c)*c*c**(2\/11)*c\/c**(-2) assuming c is positive.\nAnswer: c**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/3159*(-216)\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6125 + 6127. Let t(h) be the third derivative of 5\/24*h**4 + 0*h**3 + 1\/24*h**6 + 0*h + 0 - 2*h**r - 1\/6*h**5. Solve t(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908487 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -92. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-1\/12)\/k)*k\/(k*k**(-3\/8)))**(-9)*k\/k**0*(k*k*k**6)\/k*(k*k**0)**(6\/11) assuming k is positive.\nAnswer: k**(-1987\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284473\/166 - 150\/83. Let l be 3 - (-33352)\/(-20) - 2\/5. Let a = b - l. Find the common denominator of a and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2\/5)))\/(y*y\/y**(-7)))\/(y**(-15)*y**(-19)) assuming y is positive.\nAnswer: y**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 87177.\nAnswer: 174354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 532, 710, 1000, 1396, 1892?\n\"Answer: -z**3 + 62*z**2 - z + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l\/(l*l**(-6))))\/l))\/(l\/(l\/l**6))*(l\/l**0)**(-34)*(l**1*l\/l**3*l)**28 assuming l is positive.\nAnswer: l**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {b: 15, p: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 5) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -49. Suppose 3*k + o = 21, 2*o - 12 = -m*k + k. What is the hundreds digit of (k + -7)\/(2\/(-404))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 - 152760*v**2\/7 + 2921529600*v\/7 - 174742272000\/7.\nAnswer: 2*(v - 38160)**2*(v - 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8) + (-11)\/(-2). Suppose 14 = -2*k + 3*k. Suppose 2*a - 7 = -3*m, 3*a + k + 4 = 5*m. Solve b*q - 21 = -m*l + 10, -5*l = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*g - 5193 = 283*g. Let t = -533 - g. Which is smaller: 46 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3461848537.\nAnswer: 7, 3299, 149909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-6 - -1) + -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189.17 - 171.83. What is the nearest to 1 in -5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(-1) - ((-68)\/15)\/68. Determine w so that 0 + 1\/10*w**3 - k*w + 1\/10*w**4 - 2\/5*w**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 7*t**3\/6 + t. Let i = -17 - -11. What is the units digit of c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(96))\/(sqrt(2) + sqrt(128))*5*-4)**2.\nAnswer: -640*sqrt(3)\/9 + 6832\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 6. Let h be k(0). Let g(s) = 3*s + 7. Suppose 5*m - 18 = 2*m. Let d be g(m). Solve h*z + d = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 - 1 = 0. Let k(g) = 2*g**2 - g + 2. What is the tens digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213\/1300 - -1\/100. Suppose -5*k = -4*j - 1 - 10, 2*j = 2*k - 4. Which is the smallest value? (a) z (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/12 + 2*a**3\/3 - 2*a**2 + 9*a. Let z be -2 - (-2)\/((-8)\/12). Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + x)*(-12*x**2 - 25*x**2 + 232*x + 35*x**2) - 6*x**3 + x**3 + 4*x**3.\nAnswer: -5*x**3 + 464*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, -1\/4, 2696?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**5*g**2 - 39*c**3*g**3 + 4*c + 11*g**3 wrt c?\nAnswer: -60*c**3*g**2 - 234*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 56. Calculate w(11).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0. Let s = 1409.91 + -1410. Which is the second smallest value? (a) 5 (b) s (c) -0.5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726 is divided by 216?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2981, -838, -7229, -16210, -27799, -42014?\nAnswer: -58873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1473 and 881850.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**7\/21 - 233*c**6\/15 + 409*c**3\/6 + 58*c + 1. Find the second derivative of h(o) wrt o.\nAnswer: 40*o**3 - 5592*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 38 + 65 - 11 - 16. Let o(b) = 6*b - 8. Let q(p) = 2*p - 3. Let z(t) = 3*o(t) - 8*q(t). Calculate i(z(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*y + 114, d + 4*y = -8 + 20. Solve 0 = d*w - 10*w - 56 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-192)*(-15)\/((-90)\/(-84))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Suppose -d + 6*d - 13 = -3*c, -35 = -3*d + w*c. What is the units digit of 30*d*(-2)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddff when four letters picked without replacement from {d: 4, f: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 14) to base 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.07, 8154.\nAnswer: -0.07, 1, 8154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n. Let p be -2 - ((-36)\/30 - 3\/(-15)). Sort n, p, -4 in increasing order.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - -3041734?\nAnswer: 3041651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t = 58*t + 207 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12564 * -0.39\nAnswer: -4899.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 4*v**2 + 2*v**4 + (-5*v**3 - 2*v**2 + 2*v**2)*(-8*v - 9 + 9).\nAnswer: 42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2440 and 690.\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**3 - d**2 + d. Suppose -5*g - 2*u = -7*u - 95, 0 = -4*u. Let l = g - 16. Let z = l - 2. Give k(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 w when three letters picked without replacement from {a: 2, w: 1, x: 2, g: 4, k: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-4\/7)*l))**(2\/25)\/(l**3)**(4\/19) assuming l is positive.\nAnswer: l**(-1948\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 1115.\nAnswer: 12265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11124 + 40?\nAnswer: 11164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -773a + -25d9?\nAnswer: -9d13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000001100 - 100101011001?\nAnswer: -101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -4 + (9 - -57 - 93) + (-65 - 1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4928 and -3\/1792.\nAnswer: 19712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.41659, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 1. Let x be s(-1). Suppose -3 = -x*a - m - 14, -5*m + 25 = 0. Put -0.5, a, -1\/3 in descending order.\nAnswer: -1\/3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 9) to base 12\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p + p + p)*(2*p + 3*p - 3*p) - 3 - 2*p**2 + 3)*(-p + 4*p - 4*p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 + 2*x + 2. Let z(l) = l**3 - 3*l**2 - 6*l + 6. Let h be z(4). Let p = 1 - h. Determine j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4489 rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9791 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 1 + 19\/6*w**3 - 4*w - 19\/12*w**4 - 19\/2*w**2 + 1\/20*w**5. Calculate m(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(-2) - -2)\/((-9)\/(-18)). Let r = 3 + b. Is r not equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107831, 215667, 323503, 431339, 539175, 647011?\n\"Answer: 107836*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -128*d**2 - 1279*d + 7. Let g be i(-10). Let q = -2.5 - -2.3. What is the nearest to 4 in q, g, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 256.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 2:16 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/(1\/(-3)). Suppose -l + 17*l - 80 = 0. Which is the second biggest value? (a) l (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13180 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 107 - (-9 - -8 - 2). Solve 114*v = k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, s: 7}. Give prob of picking 2 h.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -2*h - 2, -3*h = -4*g - 8. Let p be (h + 2)\/(6\/24). What is the third derivative of 6*i**5 + i**3 + 14*i**5 + p*i**2 - i**3 wrt i?\nAnswer: 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/13 and 18\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1216, 1 in ascending order.\nAnswer: -1216, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 1\/5, 10 in decreasing order.\nAnswer: 10, 3, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59685, -59677, -59669, -59661, -59653, -59645?\nAnswer: -59637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18635 by -5.\nAnswer: -3727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 239*k + 1371. What is the hundreds digit of i(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.3, -0.018, 2\/77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -44?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 11*v**2 + 8*v**2 - 17*v**2 + (0 - 3 + 2)*(24*v**5 - 27*v**5 + 12*v**5).\nAnswer: -5*v**5 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002121 (base 3) to base 15.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*b - 119*b - 12. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -11 - ((18 - (-6 + 159)) + -9 + 23).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 10. Let n = -8.9944 - f. Round n to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/28987400 and -13\/713536?\nAnswer: 231899200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2.96, 4\/5, -4, -2\/9, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 58.6875 (c) -6 (d) 2\/17 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/48*9\/((-54)\/(-8))*1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**0\/x)))**26 assuming x is positive.\nAnswer: x**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0. Suppose 0 = -2*c - 4, 4*u - 2*c = 3 - 15. What is the fourth smallest value in a, 4, u, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237005689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i**3 - 194*i**2 + 12*i - 8. What is q(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -378*p - 2248. Give d(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, 2.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*a - 16. Let q(i) = -i**2 + 10*i + 11. Let j be q(a). Let g = j + -4. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 - 0*(-2)\/(-8). Let z = u - 18. Is z at most 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.8. Let w = 34951 + -34950.5. Which is the smallest value? (a) w (b) -1\/2 (c) 24 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -39. Let h = -22 + w. What is the greatest common divisor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:33 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 26 + 36. Solve -3 = -5*c + i*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -71*j + 21. Let h(p) = 17*p - 5. What is 9*h(m) + 2*i(m)?\nAnswer: 11*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 0.4, -2, 2, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2150*u - 1 + 1 - 2146*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:55 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2098, 2780, 3918, 5512, 7562, 10068?\nAnswer: 13030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -616*l + 2467. Let i be x(4). Solve 5*v - 23 = -i*t, 15*t - 4*v = 12*t - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*g + 34*g + 36*g + r - 4 = 0, 0 = 4*g - 2*r + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*z + 1471 = 196 - 1530 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-320)*-16*(-28)\/16?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 1575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220221201100 (base 3) to base 4.\nAnswer: -3321221310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 4232 and 38096\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 15. Let s(g) = -34*g**2 - 2*g - 1. Let k be s(a). Let h be (-22)\/k + (-4)\/(-3). Solve 4*b = -h*v - 3 + 1, 2*b - 2 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1326 and -1?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 - 50*p**2 - 90*p + 39. Calculate y(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66 (b) 16 (c) -2 (d) -37 (e) 1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -709 + 254. Suppose 0 = -4*s + v + 7, -11*v = 5*s - 7*v - w. Solve 4*d = -5*u, -s*u = 2*d - 3 + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*m + 113*m**2 - 681*m - 720*m - 114*m**2 + 169*m to w*m**2 + l*m + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:28 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 62*i**2 - 21*i - 1297. Let w be t(-62). Solve o - w*x = -4, 2*x = -5*o + 7*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4453 is divided by 97.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*x = 363486 - 241392 for x.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -963 - -4ad9b?\nAnswer: 4a438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let r(i) = 0*i + 2*i - i. Determine u(r(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:52 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148.7207 - -0.2793. Put g, -0.2, -2 in descending order.\nAnswer: g, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2021097360 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -107, -1, -2035\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 4, n: 5, v: 5, y: 3}. Give prob of sequence iy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/8*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 6*c - 27. Give k(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 33203201012 (base 4) to base 9\nAnswer: 7604418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from xxhhhsxsxxhxssh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/90*-1*9*(-420)\/(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 46 = 2*c + 3*w, -5*w + 10 = 0. Suppose n - 2*f = -9 + 46, -5*n = -4*f - 191. What is the remainder when n is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 536, 531, 522, 509?\n\"Answer: -2*w**2 + w + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 10055591?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.175362672 + 3903488553.175362672. Let j = -3903488096.9999217 + k. Let a = j + -453. What is a rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -47080160?\nAnswer: -47080164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/l**1)\/l)\/l)**(-4)*l*l**(-1\/11)*l*l**1)**(-2\/19))**(-17) assuming l is positive.\nAnswer: l**(4080\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8\/3, -0.4, 0.5, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21651 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 6457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*a + 816*a = 278*a - 18615 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**3 - 11169*i**2 + 1411*i + 36 wrt i.\nAnswer: -30*i - 22338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-67)\/(-6))\/(51\/(-153)) and 3\/85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-321 - -204 - -74) + (2 + -1 - (0 + -7))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25411245 (base 7) in base 15?\nAnswer: -308159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41437, 166044, 373815, 664750, 1038849, 1496112?\nAnswer: 2036539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 122.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = 20. Let v = x - -13. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295823592.\nAnswer: 2, 3, 4108661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/490 and -13\/1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1075775 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (-1640)\/41*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 289*o**3\/2 - 199*o**2\/2 - 11*o - 3. Is k(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-1)\/(-15) - (-6)\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -45. Let a(x) = 0*x**2 - x**2 + 0*x**b + 1 + 2*x + x**3 - 4*x**2. Let n(w) = 2*w**3 - w**2 + 4*w - 2. Let o be n(1). What is a(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -45*a + 2. What is l(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 3, k: 3, u: 1, v: 8}. Give prob of picking 1 v and 1 t.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4316, 10961, 52432, 133195, 266348?\n\"Answer: 2183*z**3 - z**2 - z - 6497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/(-273) - 1128\/(-42)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 21*c - 9. Let g(z) = 7*z - 3. Suppose 1733*s - 1654*s - 553 = 0. Give s*g(f) - 2*u(f).\nAnswer: 7*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(4840\/99))\/((-11)\/(660\/(-24)))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3750 - -41?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(5\/50). Find the common denominator of (-236)\/52 - (u - -1) and 12\/18 - ((-544)\/(-60) - -3).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. Let i be (a\/(70\/48))\/(146\/511). Let q(f) = -f**2 + 12*f + 3. Determine q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(8)\/sqrt(2)) + sqrt(1700)*-2 - ((-2*sqrt(187))\/sqrt(11) + (-1*sqrt(2448))**2).\nAnswer: -2448 - 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 5*c + 0*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 9. Let m be v(6). Suppose -11 = -m*i + 4. Let b(h) = 7*h**2 - 2*h + 1. Let z be b(2). What is the greatest common factor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from yyyyyyuuuuuuu?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 12*w**2 + w - 6. Let v be z(12). Suppose 3*g = v*g - 6. Factor 6*p**3 - g*p**2 + 2*p**5 - 3*p - 6*p - 6*p**4 + 9*p.\nAnswer: 2*p**2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v + 133 - 143 + 0*v + (-4*v - v + 3*v)*(-3 + 0 + 0)*(-8 + 2 + 0).\nAnswer: -43*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 562392 and 9636.\nAnswer: 6186312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 16*t**2 - 5*t**4 + 37*t**2 - 18*t**2 in the form y*t**2 + l*t**3 + v*t**4 + g + p*t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1780 + -927. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*n - 1960*n - 1058*n in the form b*n + q and give b.\nAnswer: -3089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) 4 (d) 1\/3 (e) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**2 + 3*c - 2. Let u = 17 + -14. Give n(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 24*l + 3 + 5 - 1 + 1 as j + u*l and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660562778.\nAnswer: 2, 17, 19, 61, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1. Let r(i) = -24 + 23*i + 26*i - 34 + 87 - 15. What is 14*b(w) + r(w)?\nAnswer: 49*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 14*k**2 - 36*k**2 + 33.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + f**2 + 3 + 0*f**2 + 4*f**3 - f**3 to the form a*f**2 + y + o*f**3 + n*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:32 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -616800 by -4112.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16452332 to the nearest integer?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-15)\/6)*1*46560\/90. Which is smaller: c or 782?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a81 (base 11) to base 3\nAnswer: 21021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 (base 7) in base 9?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2 and (-106)\/(-72)*-2 + 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3210.\nAnswer: 1\/3210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v**4 + 0 + 7\/12*v**5 - 4\/3*v**3 + 0*v - 5*v**2. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 9) to base 7.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*z + 11*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.847 and 533.78.\nAnswer: 538.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r + 202*r + 1904 + 2770 = -2199 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8 and (-1)\/4 + ((-20)\/(-4))\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:48 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10404.6479 + 2.\nAnswer: 10406.6479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 56. Let c = 57 + j. Are c and 31\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233502 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*p = -0*p - 182, -4*p - 68 = -2*h. Are h and 456\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3704 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 24*m + 2. Let j(k) = -11*k**2 - 143*k + 11. Determine -6*j(w) + 34*p(w).\nAnswer: -2*w**2 + 42*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x + 22. Let t be h(-3). Let n = t - 29. Let m = -69.8 - -70. Put n, -4, m in increasing order.\nAnswer: -4, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 189?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 6*a + 16*a)*(4 - 4 - a)*(-2*a + 2*a - 7*a**3) + 20 - a**5 - 6*a**3 - 20.\nAnswer: 41*a**5 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/12*4\/(-6). Calculate the remainder when 25 is divided by 28*(b - 3\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413000572.\nAnswer: 2, 109, 587, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 + 85 = 21*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:53 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - 10883676\/(-2304). Let o = r - -1488661\/320. Let b = o - 9373. Find the common denominator of b and 87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 196, -703, 5, 29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3447 divided by -6\nAnswer: -1149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 5. Let o be w(4). Suppose 2*n + o = 17. Calculate the greatest common factor of n and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 + 4. What is the remainder when 11 is divided by u(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 0, -5, 0.9251?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k - 20. Let v = k - 3. Solve -2 = j + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461142733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3725 * 2869\nAnswer: -10687025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45.62443 times -6\nAnswer: 273.74658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (406 - 406 - 3622*z**3)*(0 - 2 + 2*z - 3*z).\nAnswer: 3622*z**4 + 7244*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14417, 28835, 43255, 57677, 72101, 86527?\n\"Answer: r**2 + 14415*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 17. Let p be r\/(-4) - 5\/10. What is the second biggest value in -0.3, p, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*48\/504*(-63)\/18.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d**(-2)\/d))*d**(-2\/15) assuming d is positive.\nAnswer: d**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23653 (base 7) in base 4?\nAnswer: 1200103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.025, 3, -0.118, -528?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c58908 (base 13) to base 6.\nAnswer: -242544550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - m**2\/4 + 74037*m\/2 - 10953369\/4.\nAnswer: -(m - 111)**2*(4*m + 889)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by 13\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 1, e: 3}. What is prob of picking 1 e, 1 l, and 1 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Suppose -2*p - 2 + 16 = n. Suppose 4*f - 78 = a, -2*a - 10 = 3*a. What is the remainder when f is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4408)\/(-57)*3690\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -345173 - 4?\nAnswer: -345177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 434 - 232 + 106)*(0*n**5 + n**5 - 9*n**5).\nAnswer: 3720*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -1) + (25 - -9) + -40?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355522 - 135052?\nAnswer: 220430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 100*h + 807. Give n(91).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**2 - 11*x + 19. Calculate the remainder when 329 is divided by o(3).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -206*b - 9. Let q(o) = o + 6. Let x(w) = -w - 15. Let d(p) = 5*q(p) + 2*x(p). Let y(a) = 6*d(a) + n(a). What is the derivative of y(i) wrt i?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 4*4\/4 + 2. Let m be ((-5)\/a)\/(-1 + (-4)\/(-24)). Find the third derivative of -1135*y**4 + m*y**5 + 1135*y**4 - 14*y**2 wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 30 = 3*h. Let i be h*2*(-1)\/6. Solve -i*r = -q - q + 6, 0 = r + 5*q - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/279 and -62\/147.\nAnswer: 13671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/660 - 2*n**3\/33 - 19*n**2. Factor q(k).\nAnswer: (k - 2)*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cdc (base 14) to base 13.\nAnswer: 120b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/120 - 3*d**5\/20 + 7*d**4\/8 + 2*d**3\/3 - 32*d**2. Let u be v(7). Let c = u - 51. Solve 7*x - c*x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(720)*2)\/(((3*sqrt(9) - sqrt(9))*5 - sqrt(45)\/sqrt(5)*-4)*3).\nAnswer: -8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -6, 1.9, 4.\nAnswer: -6, 4\/5, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -31*h + 2. Let u(k) = 64*k - 7. What is 5*d(j) + 2*u(j)?\nAnswer: -27*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/(-30))\/(2\/(-10)). Let x(t) = -t**2 - 10*t. Let g = 5 + -13. Let s(d) = 3*d**2 + 29*d - 1. Let z(k) = g*x(k) - 3*s(k). Calculate z(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -68. Let l = 11.3542289 + 49.6457674. Let z = l + h. What is z rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9*-3*262\/(-240). Let x = s + 44\/15. Sort 1\/3, 16, x, 2\/7 in decreasing order.\nAnswer: 16, x, 1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - i + 72, -j - 2*i - 1 = -12. Let l = -76 + 193. Suppose -4*n + l = -j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2 + -2 - (-12)\/6. Find the third derivative of -16*x**3 - 10*x**2 - 3*x**2 - x**b wrt x.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1224 - 1021?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*y - 5*r, -4*y + 2*r + 8 = -y. Solve -y = k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8979 - -9351. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-112)*(-17)\/14. Let o = n + 1\/294. Which is the closest to -2\/11? (a) o (b) 1\/12 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w - w)*(1 + 3 - 6)*(-41 - 23 - 17).\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 + 2*y**2 - 4*y**3 + 7*y**3 + 13*y**3 - 18*y**2 in the form i*y**3 + j*y + m + t*y**4 + v*y**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 124512623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 6*g - 85. Give i(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(720) + -1 + (-1 + sqrt(720))**2)*-6 + -5 + -3 + -5)*3.\nAnswer: -13002 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 400 + -400. Solve 0 = -7*u + 4*u - 6, 5*s + 5*u + 30 = i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 788078\nAnswer: -5\/788078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -54\nAnswer: 19\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*(-14)\/336*3\/(4260\/16)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -f + 119, -5*c - 647 = -2*f - 838. Calculate the greatest common divisor of c and 2626.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -17.11582?\nAnswer: -68.46328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 19977 = -x + 19976, -t - 6*x + 46 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ysooyosyoy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 - 10\/(-6)). Suppose -17 = -3*s - r, -3*s + 47 = h*s - 3*r. Find the common denominator of -76\/9 and 94\/((-2)\/(-1)*s).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 - f + 14. Calculate s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -4*j**2 + 3. Let w(t) = -t + 1. Let d(o) = 2*o**2 + 8*o - 8. Let f(i) = -d(i) - 8*w(i). Determine f(a(x)).\nAnswer: -128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) 0.1 (c) 7 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 4*x**2 - x + 2. Let y be m(-2). Suppose 113 = 3*r + 20. Suppose -y*p + r = 11. Solve -4*b + 4 = -4*d, -b + p*d + 1 = -0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.226, -1\/85, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*(-9)\/(-78). Let l(j) be the third derivative of j**4\/24 - j**3\/6 - 2*j**2. Let m be l(0). Sort -0.5, h, m in decreasing order.\nAnswer: h, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 116 - 26 = 0. Let g = -23 - n. Let y(k) = -k**3 + 8*k**2 + 6*k - 11. Let o be y(g). Round o to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596 = 5*p - 459. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*55.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2184*f - 9347. Determine c(4).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 278, 447, 634, 845, 1086, 1363, 1682?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -6 + 4, 2*h = -4*f - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721 is divided by 58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11544 + -35090\/3. Which is smaller: -154 or n?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28218156 by -12.\nAnswer: -2351513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/60 - j**2. Let i(d) = -12*d - 24*d + 27*d. Determine i(w(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -4\/47, -63, 5 in descending order.\nAnswer: 5, -4\/47, -4\/5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 10*l - 163*l**2 + 579*l**2 + 251*l**2.\nAnswer: 667*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)*a\/(a*a**(-5\/6)*a)*(a*a\/(a*a\/a**5*a*a*a))\/(a**(-1\/8)*a) assuming a is positive.\nAnswer: a**(-217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0, -15, 3, -0.017?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75344.49 grams in milligrams?\nAnswer: 75344490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 276\/43 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from gmgmmaddmmgmmmmm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/56 and -95\/468104.\nAnswer: 468104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20002221232 (base 4) in base 9?\nAnswer: -3862577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 5*y = -12*d + 1, 4*d + 5*y + 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*q + 38*q + 320. What is the greatest common factor of q and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 5. Let v(g) = 3*g + 13. Let t(j) = -8*b(j) - 3*v(j). What is t(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/(j\/(j\/(j*j**1)))*(j*j**(1\/3))**(-3\/11))**(-1\/10) assuming j is positive.\nAnswer: j**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234371 = 5*z - 12*q, -12*z - 2*q = -13*z + 46873. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 1. Let y be t(-1). Suppose -6*f - 16 + 46 = y. Let p(j) = -j**3 + 6*j**2 - 7*j + 6. Calculate p(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65536 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 smaller than -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + 9*a**2 - 9*a - 9. Let w(k) = -2*k**3 - 4*k**2 + 4*k + 5. Suppose 17*x + 60 + 8 = 0. Determine x*u(q) - 9*w(q).\nAnswer: 2*q**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01217834115 to 4 dps.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 2*i. Let x(g) = 7*g**2 - 5*g. Let a(k) = 5*p(k) - 2*x(k). Let z(f) = 230*f. Calculate a(z(q)).\nAnswer: 52900*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - -64.8. Let v = 67 - g. Let x = -16\/27 - 2\/27. Put x, -0.1, v in ascending order.\nAnswer: v, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.1 or -25\/33?\nAnswer: -25\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -140, 6\/103, -0.5, 3?\nAnswer: 6\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, k: 4, r: 6}. What is prob of picking 1 r and 2 o?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1063224?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 140)\/(3\/(-14)). Suppose 0 = -f - 429 - 21. Let l = f - u. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(-35)\/665*19*-1*141?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 756\/15 - ((-26)\/(-10))\/(2067\/318).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:15 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-131968)\/(-384)*2\/((-3)\/216*-2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.834459 micrograms?\nAnswer: 0.000000002834459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 90425 = -34*p + 39*p, -3*t + 54259 = 4*p. List the prime factors of t.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982083 < 3982093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5395 - -86359\/16. Calculate the common denominator of -9\/4 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 57*p**2\/5 + 172*p\/5 + 12.\nAnswer: (p + 5)*(p + 6)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 16. What is r(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.3. Let z = -401.81 + 402.81. What is the biggest value in t, 0, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 4. Let x be d(-3). Suppose 7*w - 10 = 2*w. What is the second derivative of x*y**2 - 4*y + 2*y + 0*y**w wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754677 divided by -3993.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610646, -610650, -610654, -610658?\nAnswer: -610662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r - 2. Let p(s) = 4*s + 1. What is 5*n(x) + 8*p(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccoccccocycyc. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1378 - -1424. Suppose 7*f + f - 336 = 0. Solve -v = -4*n - f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/558 and -53\/215946.\nAnswer: 215946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 21 = 24. What is the remainder when 8\/(-1 + 5) + -5 - -28 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -1\/30*q**6 - 31\/12*q**4 + q + 3\/10*q**5 + 0 - 20*q**2 + 0*q**3. Find the second derivative of t(u) wrt u.\nAnswer: -24*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavpiplalvvvlljivip. Give prob of sequence lvvj.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -868, -1080, 18, 3080, 8760?\nAnswer: 17712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 761.7, -3, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 5\/3*j**3 + 2*j**2 + 20*j + 2 - 119\/12*j**4. Find the second derivative of m(h) wrt h.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - 184*g - 3. What is the lowest common multiple of 8 and k(37)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:04 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-72) + (-133)\/(-9). Suppose 0 = 5*a + 7*u - 8*u - d, 9 = 3*a - 2*u. Solve 6*y**3 + 5*y**3 - 5*y**2 - 6*y**a = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8859*p**3 + 2933*p**3 + 2897*p**3 + 2907*p**3.\nAnswer: -122*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3*q + 6)*(-43*q**2 - 30 + 30).\nAnswer: -129*q**3 - 43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19250 = -493*c - 5939 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 2*j - 1. Let n(q) = q**2 - 2*q + 1. Determine -6*h(x) - 5*n(x).\nAnswer: 7*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7643 (base 8) in base 6?\nAnswer: 30311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**4 + 36*i**2 - 1 - i**4 - 2 + 2 - 9*i**3 wrt i?\nAnswer: -96*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/(-86)*(-9)\/(-5)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(5) + (sqrt(10)*-1)\/sqrt(2))*-5)**2 + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 1505*o + 13618. What is y(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 5. Let x(r) = -3*r + 11. Suppose 0 = 3*j + 2*z - 16, -z + 8 - 3 = 0. Let a(q) = j*x(q) + 5*c(q). What is the units digit of a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 0.5, -1, -0.2, -406, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 7*z + 12. What is the tens digit of a(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30795.6l in millilitres?\nAnswer: 30795600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 18*o**2 - 53*o - 473. Let r be t(-9). What is the second smallest value in 61\/14, 0.4, 2, r, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -4 - -4) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 - 16*k + 148. What is l(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 3*u - 2*u + 4*u + 0*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -134, -219, -304, -389, -474?\n\"Answer: -85*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.9. Let j be (1\/(-18))\/(1926\/(-120) - -16). Is z greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -14?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-30)*(-3)\/(3\/3))\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1470744 and 1067?\nAnswer: 1471811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 8894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 500\/(-1 - (-4323)\/4326). What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = 4*s - 92, -5*s = -9*u + 159 - 395 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1001.5 - -9110.5. Let j = y + -8084.349. Let a = -25 + j. What is a rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 5*m + 3. Let k be g(3). Let r(z) = -k*z + 0 + 16*z - 2 - 4. List the prime factors of r(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105.4 + -105.5. Which is the nearest to m? (a) 2\/7 (b) 1 (c) -3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*c = -4*t + 98*c - 5, 0 = -2*t + 11*c + 29 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(36\/(-28) - -1). Let r be y*(4 + (-39)\/6). Let v(j) = -j**3 + 7*j**2 - 4*j - 3. What is the tens digit of v(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 2*y**2 + 2*y + 1. Let x be o(-1). Let l be 114\/(-285)*((-1)\/x + -126). Calculate the greatest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3055516 + 0?\nAnswer: 3055516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1662.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/27, 3, 4\/3, 0, -0.25, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/((7 + -2 - 891\/132) + 6\/8).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001183 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4141 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354609 or -354608?\nAnswer: -354609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13246 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29527534 is divided by 567837.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*p + 30015 - 10359 = 507*p. Which is smaller: 458\/9 or p?\nAnswer: 458\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 9) in base 13?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 + 10*s**2 - 3*s - 54 = 0. Calculate s.\nAnswer: -2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from oucodonnnnooo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54620669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -14. Sort 4, 1, y in decreasing order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -165234*d**2*s**2 + 6*d**2 - 9*s**2 - 135665 with respect to d.\nAnswer: -330468*d*s**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 63*a**4 + a**2 - 24*a + 41. Let x(w) = 63*w**4 + w**2 - 25*w + 42. Let m(h) = -5*u(h) + 4*x(h). What is the second derivative of m(g) wrt g?\nAnswer: -756*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2340\/1755)\/(4\/(-51)). Sort s, 3, 1, -4, 0 in descending order.\nAnswer: 3, 1, 0, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:07 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5. Let j = 2 + c. What is the remainder when (1 + 4)*(0 - -1) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5663838610 to the nearest integer?\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*f - 2340 = 0. Suppose 6*a + f = -3*a. Let t = a + 53. Let y(z) = 8*z - 1. Give y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-4)*(-12)\/(-4)*4\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2563.764323 to the nearest integer.\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 39. Which is greater: a or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*k + 11, -k + 1 = o - 0*o. Suppose 0*t = o*t - 132. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 17, 2 in increasing order.\nAnswer: -6, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 5*j)*(-3 + 5 - 3 + (1 + 1 - 1)*(-2 + 3 - 3) + 2 + 3 - 4).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -185469*i - 67325248. Give c(-363).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9500 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4126 divided by -6.\nAnswer: 2063\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.09 (c) 26 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5824643.\nAnswer: 11, 529513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*x + 1)*(-126*x**2 - 88*x**2 - 71*x**2).\nAnswer: -1995*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31a0 (base 13) in base 16?\nAnswer: 1aea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(20 + -12) + -6. Let u(z) = -2*z + 1. Let s(f) = -2*f + 1. Let y(x) = 2*x - 1. Let q(a) = 4*s(a) + 3*y(a). Determine n*q(t) + 4*u(t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/8 + 165*x\/8 + 199251\/4.\nAnswer: -3*(x - 393)*(x + 338)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*v**4 - 3*v**3 - 8*v + 16?\nAnswer: 3132*v**2 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005168695 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 1559*f + 162384. Give y(98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 65\/28 - (-640)\/20608*46\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 - 2730*r**4 - 930246*r**3 + 932978*r**2 = 0. What is r?\nAnswer: -683, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218537 - -107.\nAnswer: -218430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/((-4)\/24). Suppose -q = -p - 0*p. What is the units digit of 1\/p*(-104)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672552 to the power of 1\/2, to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 4) to base 15\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -84\/458875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*f + 15, f + 30 = 3*f + 2*b. Suppose 8*m - f = 3*m. Suppose -2*n + 4*k = -622, -4*n = -m*k + k - 1223. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3146 and 769171?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7419*s. Let n(j) = -3*j**2. Give z(n(x)).\nAnswer: -22257*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71450239 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1686023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -312232 (base 4) in base 3?\nAnswer: -11210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 453942984 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 363 = -309. What is the greatest common factor of t and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 3 + 3)*(-3 + 4 + 1)*(1 + 2 + 7) in the form j + t*o and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1)*10\/(-4). Let u(x) = 4. Let h(t) = 11*t + 15. Let c(b) = 31*b + 44. Let a(r) = -6*c(r) + 17*h(r). Give q*u(z) - 2*a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*i = -303 - 442, -5*r = 5*i - 790. Suppose 5*k = -77 - r. Is (-9 - -8)\/(2\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7))*-5 + (4 + sqrt(7))*-5)**2.\nAnswer: 500*sqrt(7) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132049840 divided by 195340.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46448 divided by -2?\nAnswer: -23224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 303?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -63*u - 442. Give t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1098 - 1078. Let c(l) = -4 - 3*l**2 + 5*l**2 + 8*l - 3*l**2. What is the lowest common multiple of c(4) and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (36 - (12 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8564933 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 900624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 294102934.7.\nAnswer: 294102934.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/4 + 3\/3. Suppose -4*x - 3 = -5*x, -2*x + f = -g. Suppose -l = 1, 2*l - 5 = -g*u + 19. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*m - 33*m**2 + 49*m + 18*m + 45*m in the form j*m + r + z*m**2 and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - -8. Suppose 5*b - 3*c - z = 0, -2*c = -7*c + 10. Suppose -s + b = -46. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v - 2*v**3 + 9*v + (2*v**2 + 2*v**2 - 2*v**2)*(2*v - 2*v + 2*v) + 38 - 70*v**3 - 38 + (0*v**2 + 3*v**2 - v**2)*(-v - 1 + 1).\nAnswer: -70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1021101 (base 5) to base 13\nAnswer: -7999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**3 - 11*b**2 + 18*b - 6. What is the units digit of c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20424, 3, 6, 5, -63, -5 in decreasing order.\nAnswer: 20424, 6, 5, 3, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5341 + -5341. What is the closest to w in 5, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(8\/6)\/(-4). Solve -6*o + o = -3*s + 1, s + o + 5 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78748 is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7 - -8 - (1 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - l - 40 + 43 = 0, -15 = -5*p + 5*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044650535 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02586966387 to 4 dps.\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -630956.\nAnswer: 33\/157739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5230 = -2*n, -5*g + 13045 = -28*n + 33*n. What are the prime factors of g?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*j**2 - 385*j**2 - 79*j**3 - 123*j**3 - 24 + 195*j**3.\nAnswer: -7*j**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f - 22. Let r be f\/(-22) + (-22)\/4. Let b = 8 - 9. Put r, b, 2 in ascending order.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 8138, -5, -2, 3, -6 in descending order.\nAnswer: 8138, 3, -2, -5, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 4*y + 18, -4*y + 2 = 5*m. Let g be 4 + -4 + 2 + 2. Suppose -2*q - g*k = 8, 3*q + 0 = -5*k - 8. Sort m, q, 1 in ascending order.\nAnswer: m, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -35*t + 11. Solve -2*k + t = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.52 + 5.52. Which is the third smallest value? (a) -2 (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.034 + -0.01. Let q = d + -0.424. What is the nearest to 0.1 in 2\/13, q, 3\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1078\/(-231)*(-384)\/14. Suppose -664 = -67*s - g. Suppose 25 - 1 = 4*m. Solve s*x + m = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(-21)*v))\/v)\/v*v*v)**6 assuming v is positive.\nAnswer: v**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1149*b + 1142*b + 1138*b - 3*b**2 - 3429*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5558412 is divided by 193.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 5*x + 6 = 23*l, 4*x = 5*l - 12. Solve -3*b = -5*p - 9, -4*b + l = 2*p - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -751400 to the nearest ten thousand.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71, -105, -139, -173, -207?\n\"Answer: -34*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621619 divided by -2457?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 300856, 300961, 301138, 301393, 301732?\n\"Answer: x**3 + 30*x**2 + 8*x + 300817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-4)\/(-24)*-33. Factor t**2 + 2*t**2 - 3*t**4 - 11*t + u*t.\nAnswer: -3*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -19. Let z = 22 - y. What is the second smallest value in -1, 0.2, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -5. What is the least common multiple of k and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 2, e: 7, x: 7, l: 3}. What is prob of picking 1 e and 2 l?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*q + 208*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:57 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57589?\nAnswer: 7, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1144*l. Let f(g) = 148*g + 148*g + 149*g + 145*g - 591*g. Determine j(f(h)).\nAnswer: -1144*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 4*l - 6*x, -8 = -5*l - 3*x. Solve 4*f - l*m + 0 + 8 = 0, -4*f - 8 = 5*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*f + 6*f - 4*f)*(-6 - 9 + 6) + (4 - 4 + 2)*(2*f - f + 0*f) + f + f + 0*f + 0 + 0 + f)*(3*f + 2*f - f) to the form x + u*f**2 + s*f and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2\/65*g**5 + 1\/39*g**6 - 6\/13*g + 4\/39*g**3 + 3 + 5\/13*g**2 - 3\/13*g**4. Let w(j) = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/3 - 19184*u**2\/3 + 30828808*u - 30929054496 = 0.\nAnswer: -13324, 1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -8\/9, 18, 2\/7, -1\/3 in ascending order.\nAnswer: -0.9, -8\/9, -1\/3, 2\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-3)\/(-63)*-2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 27. Let j(s) = 42*s**3 - 4*s**2 - s. Let w be j(-1). Calculate the remainder when (-213)\/w*9 - 2\/(-5) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2717 and 11115.\nAnswer: 122265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2 + 14\/(-6)). Suppose 3*w - 3 - j = 0. Let m(d) = 0 + 1 - 2*d - 4*d + 2*d. Calculate m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1544098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -2, 50, -0.2?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20014101 (base 6) to base 2.\nAnswer: 10001001001110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15))\/(((-204)\/1105)\/(((-72)\/(-234))\/(-2)))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -419183.79 + 419184. Let i = 0.01 - -1.99. What is the smallest value in f, 1, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 3. Let q = -133 + 663\/5. Which is the closest to 1\/4? (a) q (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.65 * -90.\nAnswer: 1138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 92647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**2 + 0*k + 0*k**4 - 1\/20*k**5 - 67 + 0*k**3. Let w(y) = -6*y**2 + 2*y**2 - 4*y**2. Calculate w(a(s)).\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(132)*-2)\/sqrt(12))**2)*-1 - (((sqrt(1584) - -2*(0 + sqrt(1584))) + sqrt(1584))*-6)**2.\nAnswer: -912423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 27*h**3 - 2. Let c(o) = -14*o**3 + 1. Suppose 5*k - 113 - 262 = 0. Let b be ((-2)\/(-5))\/((-5)\/k). Let i(l) = b*u(l) - 11*c(l). Determine i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/330 and -67\/16636080.\nAnswer: 182996880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 14*g - 8. Let a be p(-8). Let x = 63 - a. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.772 * -15\nAnswer: 56.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2556 and 40.\nAnswer: -102240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22632 and 13938.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/105129 and -115\/12618.\nAnswer: 147390858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) 0.17 (c) 12\/19 (d) -5 (e) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 - 11) + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, 1 m, and 1 j when four letters picked without replacement from {e: 2, j: 2, v: 5, w: 2, i: 1, m: 5}.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.3 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*k - 31 = 4, 5*u - 4*k - 35 = 0. Suppose 2*b + u - 3 = 0. Let s be 4\/(-3) + 16\/24. Which is greater: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35817\/16 + 2244. Calculate the common denominator of (-57)\/(-12) - (-3)\/(-12) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266100906?\nAnswer: 2, 11, 239368223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26\/83 - -1689\/2822. Calculate the common denominator of -58\/5 and p.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10625 is divided by 3476?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q - 15*q**4 + 9*q**4 - 8*q**4 + 3*q wrt q.\nAnswer: -168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -56. Let j(m) = 14*m - 12*m + c*m. Let v(x) = -2*x. What is j(v(p))?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10477 + 1182?\nAnswer: -9295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + 4 + (-1 - -6) + -17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -315?\nAnswer: -2fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110 - 10010?\nAnswer: 11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43390000 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose 3*q = 2*q. Let d be 2 + (1 - 1) - q. Solve 4*c + f*a - 12 = 4*a, -d*c + 24 = 4*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 179 = -4*x + 573, 4*x + 488 = 4*s. Suppose g = 9 + 5. Calculate the greatest common factor of g and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Suppose 0*r - 3*r + 63 = 0. Let w be (-6)\/(-21) + (-6)\/r. Let h(f) = 2*f - f + w*f. Determine p(h(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 34*n + 36*n + 5, -3*a + 6 = 3*n. Suppose -2*d - 372 = -4*f, -a*f + 2*d = -100 - 178. What is the remainder when f is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -2\/7 (b) 0.4520753 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-170)\/68*248\/(-10).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -6\/11, -3\/8, -10.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.506358mm to meters.\nAnswer: 0.008506358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 57364914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4349875*l*u**2 + 61*l*u - 1220*l - 2*u - 1 wrt u.\nAnswer: -8699750*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -101 - 343. What are the prime factors of t\/(-10) - 30\/(-50)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 - 234\/(-42). Suppose -g*k - 25 = -5*j, 9*j = 4*j - 4*k + 61. What is the least common multiple of 8 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2052360*f**4 + 2286722*f?\nAnswer: -24628320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4760 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 16. Let f be z(6). Suppose 1 = -f*p + 5. Is p\/3 - 6325\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {t: 7, u: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.98389 to two dps.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1065b1 + 15?\nAnswer: -106599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118957869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 7 = -5*g + 2*m, -19 = g + 4*m. Let a be 5 - (-2 - (-2 + g)). Calculate the remainder when 14 is divided by (8\/(-5))\/(a\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in -0.2, 4, -0.4, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**2*s**2*z + 11221*m**2*s - 22*s**2*z - 54*s*z + 2*s wrt m.\nAnswer: 6*m*s**2*z + 22442*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -6, 2, -14.\nAnswer: -14, -6, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0402860521 to 4 decimal places.\nAnswer: -0.0403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b**3 - 2*b**2 + b. Give p(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853004 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2498925 and 530075?\nAnswer: 17492475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:54 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59637.34ns?\nAnswer: 0.00005963734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2.72 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/24 - 7*g**3\/3 + g**2\/2 - 5*g. Let d(h) be the first derivative of l(h). Calculate d(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332647 is divided by 16629?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 410 = 62. Is 17*d\/(-6)*14\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -45 (c) -0.2 (d) 4 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3349005142 to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22519*t - 27 = -22515*t - j + 2*j, -3*j = 13*t + 86 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 21 = 7*o. Is 5 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 95, 143, 191, 239, 287?\n\"Answer: 48*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19651026 - 19651026 - 27*f + f**2.\nAnswer: f**2 - 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(5\/7)*(x\/x**0*x)**(-3\/40) assuming x is positive.\nAnswer: x**(-121\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 5)*(-5*c + 3*c + 3*c + (1 - 3 - 1)*(4 - 4 - c) + c - c - 2*c + 2*c + 0*c + 4*c) to v + a*c and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209300475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14893.8 + -14977.79882. Let o = -84 - u. What is o rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**6\/360 + c**4\/12 + 12*c. Let p(g) be the third derivative of d(g). Let t(q) = -q**2. Give t(p(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10640*p**3 - 7*p**2 - 508?\nAnswer: 63840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1.9 (b) 1 (c) -2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 25*t - 90 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 59, 89?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1038 and (217\/(-54) - -4) + (26\/4 - 7).\nAnswer: 9342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 13*k**2 + 46*k - 32.\nAnswer: -(k - 2)*(k - 1)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132398 and 3773.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 98, 213, 374, 581, 834, 1133?\n\"Answer: 23*c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122629883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -195*z + 89. List the prime factors of a(-6).\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 + 8*w**2 - 5*w + 8. Let j(g) = g**3 + 4*g**2 - g + 2. Let r(d) = -5*d**3 - 9*d**2 + d - 3. Let s(x) = -3*j(x) - r(x). Give 8*s(o) + 3*v(o).\nAnswer: o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*q - 4 - 6 - 8, 5*h - 3*q + 27 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151 (base 8) to base 4.\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7687.3404*5.\nAnswer: -38436.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 336630082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34463888, -68927774, -103391660, -137855546, -172319432?\nAnswer: -206783318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*j - 1 = 0, 3*m - 5*j + 7 = m. Let b be (-4 + m)*(-18)\/45. Let a(h) = 19*h**2 - h. Let x be a(1). Solve -b*q - 3*v = -4 - 7, -q - 4*v = -x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let x be t(2). Suppose -3*f - 3 = -4*b - 0*f, -x*b + 5*f - 9 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + 3 + 61 + -59)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**25))\/(g\/((g\/((g*(g\/(g**(-3\/16)*g))\/g)\/g)*g)\/g)))\/(g**(-6)*g**(-17)) assuming g is positive.\nAnswer: g**(-35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -63778 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaiiaaaaaaaaaaaiiiaa. What is prob of sequence iiaa?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 835823779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:39 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/135978 and 91\/271956.\nAnswer: 271956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10497 or -1\/2?\nAnswer: 10497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.7351 - 0.\nAnswer: -21.7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(99) - (0 + sqrt(99) - sqrt(99))).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65 - 17*n**2 + 191 + 42 + 292 wrt n?\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10957 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o + 1 = 0. Let z(b) = -b - 1 + 5 - o - 1. Let c(p) = 2 + 4 + 2*p - 5*p. Determine 2*c(y) - 7*z(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294227164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*f + 53*f + 266*f + 241*f)*(-2*f**2 + 4 - 4)*(-25 + 9*f + 25).\nAnswer: -10872*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(6\/(-362)) + (11 - 7).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 4:54 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = g - z - 3, -34 = 3*g + 4*z for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(19)*3 + ((sqrt(190)\/sqrt(5))\/sqrt(2))**2.\nAnswer: -3*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001221 + -10?\nAnswer: -1002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 7. Let p be o(5). Suppose 5*c - 28 = -8. What is the greatest common divisor of p and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2. Let j(h) be the first derivative of -14*h**3 + 2*h - 1497. Calculate p(j(g)).\nAnswer: 5292*g**4 - 504*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*1*14\/35. Let s be z\/9 - 22\/(-18). Solve -s + 0 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a34a (base 16) in base 5?\nAnswer: 34211241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1334467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y**3 - y**2 - 4*y + 5. Let d be u(2). Suppose 4*m - d - 43 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 32*d**2 + 3. Let v(c) be the first derivative of c**3 + 246. Calculate v(f(q)).\nAnswer: 3072*q**4 + 576*q**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2900 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7458, 7458, 7468, 7494, 7542, 7618?\n\"Answer: y**3 - y**2 - 4*y + 7462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-384)\/(-18))\/(-32) - 1\/3*-191. Solve 39 = -24*a + h*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1758030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. What is the third derivative of -12*m**2 - 10*m**4 - m**2 - a*m**4 wrt m?\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1064 - -1407. What is the biggest value in -2, 0.1, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2818*g*z**3 - 124*g*z**2 - 4286*z**3 - 83 wrt g?\nAnswer: -2818*z**3 - 124*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2378 + -1671. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/10 + 88*c**2\/5 - 3872*c\/5 = 0 for c.\nAnswer: 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 14, 0, -30, -82, -162, -276?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56342792 - 27777049214\/493. Let v = -1838\/17 - a. What is the common denominator of 4\/(-20) + (-5403)\/585 + 87\/(-377) and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2613250 and 15725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -16*d + 200. Solve d = -2*x, 3*q - x - 4*x - 22 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 100*b**2 - 105*b.\nAnswer: 5*b*(b - 21)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + -150.903. Let p = y - 2.797. Put p, -2\/5, 5 in decreasing order.\nAnswer: 5, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7543\/13 - 580. Which is the nearest to 1\/2? (a) -37 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = 0. Let l = -1 - -7. Suppose 0 = 2*f - 2*d + 6, -3 = -l*f + f - 4*d. Which is bigger: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 34*q**3 + 27*q**2 + 7*q - 7. Let a(g) = 11*g**3 + 9*g**2 + 2*g - 2. Let d(j) = 7*a(j) - 2*h(j). Find the third derivative of d(w) wrt w.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*y = 4038, 0*l - l - 5*y = -1018. Let i(o) = l + 16*o**2 - 1008. Let r(v) = -4*v. What is i(r(p))?\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 27*l**2 - 24*l + 295. What are the prime factors of s(19)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 47*c + 61. Let l(u) = u**2 + 9. Determine -7*l(h) + o(h).\nAnswer: -3*h**2 - 47*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 326991 or 326743?\nAnswer: 326991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 54*i - 3796. Let t be f(70). Which is the biggest value? (a) 0.07 (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1029, 3160, 5291, 7422?\n\"Answer: 2131*a - 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.575056 and -0.2.\nAnswer: 2.375056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 505292.759 to the nearest ten.\nAnswer: 505290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 429328751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/7, -0.3, -394419, 0, -3.\nAnswer: -394419, -3, -0.3, 0, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.528 + 0.38. Let r = -0.048 - j. Which is the closest to r? (a) 6\/5 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382560 is divided by 5299.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeigmv. What is prob of sequence mg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51392*a**3 + 122*a?\nAnswer: -308352*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose j*s - 15 = -5*s. Suppose 3*l + 2 - 26 = 0. Solve -s*y + 5*y + l = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 96 - 99, 0 = -3*q + 4*w - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zelbbeizzzze.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 1631455?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let r(z) = -z**3 - 34*z**2 + 5*z + 3. Let y(a) = r(a) - 4*x(a). Find the second derivative of y(q) wrt q.\nAnswer: -6*q - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 425471630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16290 by -8145.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (10 - 3) + (5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 2, k: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2178504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -826.0647499\nAnswer: -816.0647499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1212516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -215*x. Let f(o) = -92*o. Let w(m) = -7*f(m) + 3*s(m). Let v(l) = -3*l - 51. What is v(a) - 5*w(a)?\nAnswer: 2*a - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 12*x**2 - 7*x + 4. What is the units digit of r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 8240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -97, -206, -323, -448, -581?\n\"Answer: -4*f**2 - 97*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 16 in descending order.\nAnswer: 16, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4\/3 - 9296*x**3\/3 - 2700488*x**2 - 3137967056*x\/3 - 455789714884\/3.\nAnswer: -4*(x + 581)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/50 and 53\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n + 4. Suppose 4*x - x = 0. Let y be o(x). Let f be 6\/y*32\/6. Calculate the greatest common factor of f and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12253*0.5.\nAnswer: -6126.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2644*-7132.\nAnswer: 18857008","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 5. Let n(k) = 4*k + 6. Let s(c) = 3*i(c) + 4*n(c). Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121) + (sqrt(121) - -1*sqrt(121)))*5)\/sqrt(11).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*o**2 - 4955*o**2 + 1046*o**2 - 6347*o**2 + 937*o**2.\nAnswer: -10034*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-210)\/36 + (-1)\/6. Let w be -10*1*i\/5. What is the remainder when 50 is divided by 315\/12 - 3\/w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82\/3? (a) 0 (b) -60 (c) -3\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 372*j + 4480. Determine h(173).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s**2 - 6*s - 2. Let l be ((-5)\/(-15))\/(17\/(-408)). Does 38 divide u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l + 2*l + (0 + 0 + 1)*(-5*l + 4*l + 3*l) + 1 + l - 1 - 3 + 5*l + 3)*(5*l + 6 - 6).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -305\/3. Let h be 8\/16 - (-53)\/2. Let k = h - m. Which is the closest to 0.1? (a) 0 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 0. Suppose -3*n + 70 = 4*y, y + o*n - 27 = 4*n. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610 + -2648 + 256\/6?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00231 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n, -5*i + 3*n + 7 = 4*n. Let d be 636\/204 - i\/17. Solve 0 = 4*x - 5*x - d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 19 - 3*k**2 - 15 + 17*k**2 in the form u*k**2 + c*k**3 + t*k + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 34*o**2 + 3. Let y be t(34). Solve 0 = -r + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380107.\nAnswer: 7, 13, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56383 = -1093*g + 8291 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208.999822 - 209. Round b to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*t**2 - 26\/5*t - 16.\nAnswer: -2*(t + 5)*(t + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose -6 = -3*x + r, 0*x - 4*x = -5*r + n. Let z = -10 - -6. Which is the second biggest value? (a) z (b) 2 (c) x (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -117531, -235108, -352733, -470412, -588151?\n\"Answer: -b**3 - 18*b**2 - 117516*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 8. Let c be i(5). Suppose -r = c*r. Suppose y + y - 178 = r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/16 - 13\/240. What is the common denominator of 778\/2723 - 1248\/(-189) and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -93. Let b = -65 + u. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -350eb0 + 2?\nAnswer: -350ead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 925806 to the power of 1\/2, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/60 - q**4\/24 - q**3\/6 + 2*q. Let p(x) be the second derivative of f(x). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -136.194, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12885634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 13*j**2 + 37*j - 56. What is c(11)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 21. Suppose -27 + 27 = -4*p. Suppose l - 3*z = -p*l - 32, 3*z = 2*l + 52. Is m(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*t - 12, 0*t = -2*k - t - 4. Let w(l) = 5*l + 14. Let r(d) = -2*d - 5. Let h(j) = 17*r(j) + 6*w(j). What are the prime factors of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (259965\/62964)\/(5\/(-2)) and (-51)\/(-7) - 2\/(-7).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 3*m + 1 - m**3 - m - 3*m to i*m + h*m**3 + a*m**2 + j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 716063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 13*j**2 + 13*j + 15. Let r be g(14). Find the second derivative of r - 2*t + 2*t**4 - 1 + t wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10706 and 2597.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18468724 <= -18468726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62811355, 125622712, 188434069, 251245426?\n\"Answer: 62811357*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:25 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551913 - 3.\nAnswer: -551916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -44.7. Let y = b - -1.3. What is y rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358599*x**6 + 3*x**2 - 24360*x + 1 wrt x?\nAnswer: 43031880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1224 (base 6) to base 7\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -615, -1231, -1847, -2463, -3079, -3695?\n\"Answer: -616*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 83\/4. Suppose 5*j - g = -6. What are the prime factors of 1 + (j + -5 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 28*h - 62. Let k be q(-16). Suppose 0 + 4\/5*w - 4\/5*w**k = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**2 - 4. Let g(z) = 15*z**2. Give g(y(f)).\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11664 and 114372.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 8 = 2*s. Let g(m) be the second derivative of -s*m**2 + 0 - 2*m - 2\/5*m**5 + 4\/3*m**3 + 1\/2*m**4 + 1\/15*m**6. Factor g(p).\nAnswer: 2*(p - 2)**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 374346266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 17*t. Let w(h) = -163*h + 622*h - 154*h - 158*h + 6*h**2 - 163*h. Give 6*w(g) - 7*y(g).\nAnswer: g**2 + 23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 6. Suppose -x + 6*x = -25, -4 = -2*v + 2*x. Let u(i) = -10*i. Let z(n) = 2*n. Let q(o) = v*u(o) - 16*z(o). What is g(q(y))?\nAnswer: 10*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**2 + 79*q - 9. Determine h(4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 8*q + 9. Let y be v(-7). Suppose 2*j - 21 = -l + j, y*l - 39 = j. Suppose -11*d + 27*d = -5*d + 147. Solve -d*n + 2*n = l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-23)\/a*a*a*a*a**(-13)*a**(-23)\/(a*a\/a**(-1\/14)) assuming a is positive.\nAnswer: a**(-813\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 4\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 + 24 - -28) + 0 + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((189\/336*2)\/(-3))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1162844859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52\/3*l**4 - 8*l - 170\/3*l**3 + 14\/3*l**5 + 128\/3*l**2 + 0 = 0 for l.\nAnswer: -6, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1448 + -0.7818. Round r to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1776\/(-126) + 14 - (-6)\/63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 4*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*f + 7 = 0, 3*n - 19 = -5*f - 1. Calculate the greatest common factor of 142 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -31, -26?\n\"Answer: 5*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -526311 (base 7) in base 3?\nAnswer: -11121220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2380 and 560?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(24\/(-18))*18616\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, -3 in descending order.\nAnswer: 0.2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Sort w, -5, 1 in increasing order.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0.4, -5, -2\/91 in decreasing order.\nAnswer: 5, 3, 0.4, -2\/91, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*v + 1, -3*c - 10*v + 5 = -14*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -111, -166, -221?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 6:28 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7255, 14502, 21749, 28996, 36243?\nAnswer: 43490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3961703 greater than or equal to -3961701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557573 is divided by 1625?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 48. Solve -5*j + 4*d - 25 = 0, 4*j - 14 = b*j - 3*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {s: 8, l: 10, h: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 537865200 divided by -3735175?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -516, -773, -1030?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220, 436, 652?\n\"Answer: 216*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 1\/4, 1, 323\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -15934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)*g)**26)**(6\/7)*((((g*g**(-3)*g)\/g)\/g)**10)**(-35) assuming g is positive.\nAnswer: g**(7506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:07 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3013*z + 456. Let m(c) = 1003*c + 152. Let g(f) = 6*b(f) - 17*m(f). Is g(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7 - (-4)\/(-42))*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1261 - 746. Suppose -c = -g - 884. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1339 and -11\/208972889.\nAnswer: 2716647557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/39)\/(7\/(-42))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t**2 - 145*t - 3. Let m(p) = 35*p**2 + 143*p + 4. What is 4*j(u) + 3*m(u)?\nAnswer: u**2 - 151*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 890 - 883. Suppose -5*l + 6*t = t - 75, l - 19 = 5*t. Calculate the highest common factor of l and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 3 (b) -2 (c) 2\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 565?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124599189 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -1) + (-10 - -12). Suppose -s + m = -11, 4 = -c*m - 0. Solve 4*h - 6 = s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62211.1, 0, -1.7 in decreasing order.\nAnswer: 0, -1.7, -62211.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 246683167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -508806 divided by -46\nAnswer: 11061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let r(o) = -12*o**2 + 22*o**2 + 16 + 8 - 10*o**2 - 7*o**2. Calculate q(r(z)).\nAnswer: 49*z**4 - 336*z**2 + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.873341 years to decades.\nAnswer: 0.0873341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564067.8 tonnes to micrograms.\nAnswer: 564067800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*l**5 - 4*l**2 + 2 wrt l.\nAnswer: 3600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 10*t**2 + t - 30. Let o be a(10). Is -19 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 20*t + 81. Let x be p(5). Solve x = -k - 2*f, -2*k + 7*k - 3*f = -17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5475\/58903?\nAnswer: -5475\/58903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389298629, -389298624, -389298609, -389298578, -389298525, -389298444, -389298329?\nAnswer: -389298174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1288.6 - 1314.602. Let d = -0.002 - i. Let p = d + -25.999918. What is p rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 2, k: 4, c: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = i - t, -3*t - t - 177 = -i. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959603.\nAnswer: 959603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - l + l + (1 + 4 - 4)*(2*l**2 + 2*l - 2*l) + (-1 - 15 - 13)*(-l**2 + 3*l**2 - 3*l**2) - 5*l**2 + l**2 + 3*l**2 + (4 - 4 - 2*l)*(0*l + 5*l - 2*l).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1047)\/4188)\/(2\/(-472)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -568.\nAnswer: 1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*82\/(-3116)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -238140 + 5?\nAnswer: -238135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14966*k**2 - k + k + 376*k**2.\nAnswer: 15342*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3857509.2586751692974 + 11.9943244107026. Let c = 3857575.253 - b. Let y = 54 - c. Round y to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 12\/3 - -2. Let z = p - 0. Suppose z*o = 4*o. What is the second smallest value in o, -3\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -36, 89, 246?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1 (c) 5\/7 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times -0.3?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 72, 132, 216?\n\"Answer: 12*a**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -370\/11 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 5:54 PM?\nAnswer: 369","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 15) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)\/((-1)\/((-33)\/6)). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143436 by 9.\nAnswer: 47812\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2647*o + 119134. What is c(45)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910699343*z**3 + 524055290 wrt z.\nAnswer: -2732098029*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12815540000 rounded to the nearest one million?\nAnswer: -12816000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15879\/4 + -3950. Let s be (1008\/(-15))\/((-6)\/(-8)). Let o = s + 95. Calculate the common denominator of o and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -24*s + 50. Let q be f(2). Solve -5*m = -q*m + 2*o + 22, 0 = 5*o + 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 10\/3)*(0 + -72). Suppose -41*b + 37*b + k = 0. Do b and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**5\/60 - 3*u**4\/8 + 3*u**3\/2 - 5*u**2\/2 + 5*u + 184. Let d(g) be the second derivative of i(g). Calculate d(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5 - 8248*l**4 - 17007373*l**3 + 24742*l**2 + 51005632*l - 34014752 = 0.\nAnswer: -4124, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 2394*w**3 - 2391*w**2 = 0. What is w?\nAnswer: 0, 1, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*d = -5*d + 6, -5*d = -5*m + 10. What is the units digit of (2 + 0 + 98)\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10173.115 to the nearest one hundred.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1069724 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -21 + (49 - 15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*z + 5*z + 88 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155 + 155 + 11*u)*(55 - 17 + 48)*(-5 + 5 + 5*u).\nAnswer: 4730*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -75*q**4\/2 - 94*q**3 + 121*q**2\/2 + 71*q = 0.\nAnswer: -71\/25, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.01. What is the second smallest value in c, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 3 + 3*u**4 - 7 - 2*u**3 - u**4 + 3 as i*u**2 + b*u + a + d*u**3 + y*u**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 629500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 17.9. Let f = 26 - y. Put f, -2, -1\/2 in descending order.\nAnswer: f, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1056, 1447, 1848, 2265, 2704, 3171, 3672, 4213?\nAnswer: 4800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 168, 194, 238, 306, 404, 538?\n\"Answer: u**3 + 3*u**2 + 10*u + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 10*m**2 + 10*m - 17. Let c be x(-11). Let s be (4 + (c - -2))\/1. Suppose s = -n + 57 + 62. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2 + (2 - 2 + 1)*(-3 + 0 + 1) - 2 + 1 - 1 + 2 + 1 + 0)*(-2*x**3 + 0*x**3 + x**3 + 3*x**4).\nAnswer: -15*x**4 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43.2, 2\/5, 2\/7, -1\/2 in descending order.\nAnswer: 43.2, 2\/5, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45 + 4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4641*i**2*n - 1258*i*n + 12733172*n wrt i?\nAnswer: -9282*i*n - 1258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324133860.\nAnswer: 2, 3, 5, 571, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/19))\/a**8*(a**(-2)*a)**(-3\/37))\/(a\/(a*a\/a**2)*a*a**(-1\/2)*(a**(1\/5)\/a)**1) assuming a is positive.\nAnswer: a**(-52821\/7030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + p**2 + p**2 - 16 - 17 to c + b*p**2 + h*p and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*y + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3203092 days to minutes.\nAnswer: 461.245248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlldlldllllllldldd. What is prob of picking 4 d?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-20 - -29) + -16 + (0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 11*o**2 + 26*o - 22. Determine k(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z + 8. Let w be h(-4). Let a(q) = -15*q + 5. Let n be a(-4). Let c = n + w. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 2\/33 (c) 4\/6761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4669015?\nAnswer: 5, 13, 109, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2225286593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -1 - (7 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004373 to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17224?\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*p + 521 = p, h = 3*p + 265. Suppose -3*x - s = -h, 3*x - 3*s + 110 - 368 = 0. Suppose x = 6*g - 39. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -848*h**6 + 55*h**2 - 4*h**3 - 49*h**2 + 4*h**3 wrt h?\nAnswer: -101760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -10, 2*z - 257 - 93 = -t. Calculate the remainder when t is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44005151 (base 7) to base 2\nAnswer: 1110010111100100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 6 + 12 + 13 - 8.\nAnswer: l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -2, -0.5 in descending order.\nAnswer: -0.5, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -48*f - 4257. Let l(m) = 7*m + 611. Calculate -4*g(c) - 27*l(c).\nAnswer: 3*c + 531","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - -1 - (-3 - 3). List the prime factors of (m\/2 + 121)\/2.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -22\/3. Suppose m*k + k**2 + 5\/3*k**5 + 0 - 7\/3*k**3 - k**4 = 0. Calculate k.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5991441, 5991439, 5991437, 5991435?\nAnswer: 5991433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5393226.\nAnswer: 2, 3, 19, 47309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697 at least as big as 2687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25629 or -25633?\nAnswer: -25633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -456 in 4, -0.3, 5, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1.827.\nAnswer: -0.3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f37a4e (base 16) in base 9?\nAnswer: 33020248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 1. Suppose -3*u + 24 = -3*q, -2*u + r = -0*u + 3*q. Suppose 3*j = -5*p - 13, 4 = j + p + u. Solve -8 = 2*v + 3*y, j*y = -9*v + 5*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 940*o**2 + 32*o - 4. Let m(p) = 188*p**2 + 7*p - 1. Determine 3*g(f) - 14*m(f).\nAnswer: 188*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.04055 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.87 + 0.87106. Round v to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + 20. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 9*n + 4. Let o be d(-9). Solve -2*s + 4*w = 2*s - o, 0 = -2*w - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1684967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2068.3 - -2185.09. Let x = 115 - n. Round x to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -139, -134, -133, -136, -143, -154?\n\"Answer: -2*a**2 + 11*a - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144334?\nAnswer: 2, 72167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -54\/7, 131, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -260*g. Let b(c) be the first derivative of -3*c**2\/2 - 6*c + 13386. Calculate s(b(z)).\nAnswer: 780*z + 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, 34.\nAnswer: -5, -2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*d**3*g**2 + d**3*z + d**2*g**2*z + d**2*g*z + 116*d*g*z - 16*d*z wrt d.\nAnswer: 312*g**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3 + 2. Suppose 0 = -3*q + 6*q + 2*f + 22, 3*q + 32 = -4*f. Sort q, d, -1\/4 in increasing order.\nAnswer: d, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*u - 39 = 0, 3*u = 5*h - 33 + 4. Suppose 0 = -s - h + 44. What is the highest common factor of s and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + (sqrt(405) - sqrt(405)*1) + 1 + sqrt(405)*2 + 1)**2*5 + -4).\nAnswer: -48846 - 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c5878 - 3?\nAnswer: -c587b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 187977420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5093108\/109 not equal to -46725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50830648 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(8 - 3)*1. Let l = -3 - k. Let z = l + -10. Let h(j) = j. What is h(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let l(r) = -r + 10. Let p be l(8). Let m(s) = 13*s**2 - p*s - s + 3*s. Determine m(a(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/66 and 1648\/100320 + (6\/(-9))\/(33\/(-9)).\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 11*v - 36. Let z be i(3). Solve -4*n + z*n = 5*o, 0 = -3*o + 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*4 + (-3 - (7 + -6)). Let l = s + 3\/2. Find the common denominator of l and 1\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960189 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**3 + i**2 + i. Let x(c) = c + 19. Let j be x(-20). Does 5 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 6*a - 9. Let o be q(7). What is the nearest to 2 in 4, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2438*m + 46250. Give g(20).\nAnswer: -2510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28db0 (base 15) to base 8.\nAnswer: -400414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 514034 (base 6) to base 5\nAnswer: 2303222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) + 1 - -2. Let h(r) = -r**3 + 4*r**2 - r - 2. Let n be h(v). Suppose n*m - 110 = 358. Calculate the highest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*z + 22*z + 49*z + z - z - 2*z - z - z + 0*z + (3*z - z + 0*z)*(3 - 5 + 1) - 3 - z + 3 - 2*z + z + 3*z.\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*f**5 - 265*b*f**4 + 2*b*f**2 + f**5 + 14*f**2 + 2*f wrt f.\nAnswer: 60*b*f**2 - 6360*b*f + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 134 - 35 = 0. Let c(j) = j**2 - 14*j + 21. Let o be c(f). Solve o*z = 4 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/11, 4, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 7*n**2 + 9*n**2 - 8*n - n**3 - n**4 - 6*n**2 = 0?\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523235360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 13}. What is prob of picking 3 k?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4. Suppose 5*y - 3*g = p - 3, -3*y = -3*g + 3. Is -2*(-449)\/2*y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvazazzzzavaz. What is prob of picking 2 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8446 is divided by 1428.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 725493661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -5, 4160, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6*y**2 - 3*y**2 + 8*y**2 in the form f*y + h + z*y**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2103057 divided by 21243\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/36 - (9 + 948\/(-108)))*(-213 + 289)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, -17 in ascending order.\nAnswer: -17, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millisecond in microseconds?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 10*y**2 + 0*y**2 - 11*y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 393*r + 1475. List the prime factors of c(-3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqpr when four letters picked without replacement from {q: 2, h: 9, j: 4, p: 1, r: 1}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 90743 = 34215. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 790*w**2 + 3482*w + 1544.\nAnswer: 2*(w + 4)*(w + 193)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*o - 4*h, -6*o + o - 4*h - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*w - 6*w + 111, a = -2*w + 53. Suppose -a = -l + 35. Suppose 2*m + 3*p = 95, 2*m - l = -3*p - p. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (2 + -7)) + 0 + -11 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 22. Let j be o(-11). Does 18 divide j + 56 - (-1 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((10 - 0) + 3 + -7 - 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 246047 - 916592. Let a = 390545 + j. Round a to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 305. Let j = p - 112. Calculate the lowest common multiple of j and 69.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 2*g + 3. Give y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151637 is divided by 226.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/35 and -28\/9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 931851 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.0001. Let k = j - 0. Round k to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 2212 = -2002. Are -603\/2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 36*t + 363. Let l(f) = f**3 + f. Let d be l(1). Suppose d*a - 28 = -0*a. Calculate the remainder when u(-9) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 i when four letters picked without replacement from zzyzzizyy?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 7728*k - 14930496 = 0. What is k?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(-3*2\/36). Put k, 1, 9, 26 in descending order.\nAnswer: 26, 9, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1934 + 4107. Is d a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k - s + 3, 5*k - 3*s - 19 = 0. Let a(v) = -2*v**2 + k*v**2 - 2 + v**3 + 0*v**2. Let x = -30886 - -30886. What is a(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014986 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a. Let n(d) = -2*d**2 + 14*d. Let v(k) = 2*k**2 - 12*k. Let z(x) = -6*n(x) - 7*v(x). Determine b(z(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -912292580 to the nearest 100000.\nAnswer: -912300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -2 (c) -1\/3 (d) -1\/2 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -14*d - 21. Which is the biggest value? (a) 0 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {v: 13, r: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-144)\/132*(-22)\/4. What is the hundreds digit of -4 - ((c - 3 - -1) + -274)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)\/i)\/(i\/(i\/(i\/i**(2\/27))))*i**(2\/13)\/(i*i*i*i\/(i*i*((i\/(((i\/i**(-12))\/i)\/i))\/i)\/i*i)) assuming i is positive.\nAnswer: i**(-9046\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/54 and -29\/7200.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10*c - 2 = 9*c, -3*s = c - 6. Let h(w) = 7*w**2 + 3*w - 3. What is h(s)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 15*o - 1. Let t(m) = -m**3 - 6*m**2 - m. Let r be t(-6). Is s(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76499 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 14*o - 10. Let c be i(-9). Suppose c - 1765 = -3*s - l, s + 3*l = 577. What are the prime factors of s?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2750*179.\nAnswer: -492250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/480*-10*(-2)\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/140)\/(15\/25)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 3. Let h(j) = -42*j**2 + 23*j**2 - 11*j**2 - 79*j**2. What is q(h(l))?\nAnswer: -59405*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 5\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 109. Let x be d(-27). Let v be 10 - (-1 + 7 + x). Let g(i) = 5*i + 3. Let z(p) = -3*p - 1. Let c(s) = 3*g(s) + 7*z(s). Calculate c(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, 280 in ascending order.\nAnswer: -4, 2, 3, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/100 + (26\/(-195))\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 25402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 564\/7. Let a be 9\/(-56) - 11\/88. What is the second smallest value in w, 3, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 6*m - 14. Let c be f(8). Let t(v) be the second derivative of 0 + 2*v - 4\/3*v**3 + 5\/12*v**4 + 1\/20*v**5 - 3*v**c. What is t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -58010.\nAnswer: 1\/29005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6018, -12034, -18050?\n\"Answer: -6016*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:00 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1547\/6 + -33178\/129. Find the common denominator of l and -65\/4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11736.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1052459 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let o(u) = -2*u**2 - u. Let k(d) = 47*d**2 - 7*d. Let p(q) = -k(q) + 4*o(q). Determine p(w(a)).\nAnswer: -220*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100001010111001110011001 + -100?\nAnswer: 10001100001010111001110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7419\/520 + 9\/520. Let u = 8\/479 + 142103\/9580. Let w = q + u. Which is the third smallest value? (a) -3 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-108)*(-48)\/(-28))\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -194128200 divided by 9114\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297976 and 771858?\nAnswer: 367404408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + -5. Let j be 1\/(28\/l - -2). Suppose 0*v + 24 = j*v. Let z(y) = -y**3 + 6*y**2 - y + 4. What is z(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (59 - -31)\/((-3)\/(-2)). Let r be (-18 - -77)\/(1\/1). Is p <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63686?\nAnswer: 2, 7, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191869497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 239689238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 0. Let o = y - 10. Solve -2*w - 4 = -o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 20.09949 weeks?\nAnswer: 12156171.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 3. Suppose 5*m - 2*m - 13 = 5*x, -x - m = 9. Calculate s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -479 + 95*s + 179 + 131 + 181 in the form q*s + z and give q.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) + -1*sqrt(3) - sqrt(3)))**2*-5 - (0 + sqrt(48))*-6.\nAnswer: -240 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938*b**2 - 80*b + 80*b.\nAnswer: 938*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10220 = 4*f - 4*b, 10252 = 2*f - 6*f - 4*b. Let n = 3852 + f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 338 + 86. What is the least common multiple of 11 and p?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -75, -137, -263, -477, -803?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from zttzfzffzzzffzz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40109 and 21969177?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**3 + 5*m**2*u + m*u - 107*m wrt m.\nAnswer: -12*m + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/15*27\/12.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 612\/(-357)*(-455)\/(-546)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 1 - 5*j + 2*j - 3*j in the form l + z*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9888 divided by -386\nAnswer: -4944\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649.\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/105 + 3*m**5\/35 - m**4\/6 - 2*m**3\/7 + 8*m**2\/7 - 24*m. Solve h(o) = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 1 + 277*a - 226*a + 32*a**2 wrt a.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (1 + -5))*1. Suppose -t*b + 1 = 4. Let d = b - -4. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32126647 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: Rearrange (9 + 2 - 3)*(-3 + a + 3) to the form t + g*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275657 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 242131182 divided by 2?\nAnswer: 121065591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22.58? (a) 1\/2 (b) -0.2 (c) -15 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*p**3 - 1417361*p**2 + 2762976.\nAnswer: -18*p**2 - 2834722*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, g: 2, i: 4}. Give prob of picking 1 i and 3 a.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*i = 106*i + 976. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -31.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.03157289 times -0.4\nAnswer: -0.012629156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.57, 0.5, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 171630138 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 + 1132. Let y = -665 + d. What are the prime factors of y?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14972?\nAnswer: 2, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -621 + 136103?\nAnswer: 135152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 587770*t - 17273678645.\nAnswer: -5*(t + 58777)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -72.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.222 - -0.122. Which is the closest to -83? (a) 1 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 2*m**2 + 4*m**2)*(-m - m - 4*m + (1 + 0 - 3)*(2 - 2*m - 2)) + (23*m - 78*m - 17*m)*(m**2 + 2*m**2 - 4*m**2).\nAnswer: 70*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-45)*-3)\/(-1*(-3 + (-67)\/(-22)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 106664, 213296, 319928?\n\"Answer: 106632*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 times 2?\nAnswer: 4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r = -5. Let x(u) = u**3 - u**2 + u. Let f(d) = 7*d**3 - 5*d**2 + 5*d + 2. Determine r*x(y) - f(y).\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*c + 1 + 3, 0 = -5*h + 4*c + 8. Suppose d - 3*d + 10 = h. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3 + 0)*(1 + 1 + 4)*(v + 0*v + v) as s*v + t and give s.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*m - 4*m, -4*k = 4*m - 80. Solve 3*p - 4 = 5*p + 3*j, 2*p - m = 2*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666182109 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/130 - 2*x**4\/13 - 7*x**3\/13 - 10*x**2\/13 + x + 69. Let h(t) = 0. What is t?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**2 + 544. Suppose 3*q - 12 = 0, 7*b + 3*q = 4*b + 18. Let f(o) = -3*o + 3*o + 7*o**b. Calculate c(f(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112014 (base 5) in base 4?\nAnswer: -332221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5, -4, 3975, -23 in decreasing order.\nAnswer: 3975, 2, 1, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292076 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25813099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*c - 8*c - 4 - 7*c)*(0 + 4 - 3 + (0 + 0 + 2)*(2 - 4 + 4) + 12 - 2 - 3)*(-3 + 1 + 1).\nAnswer: -12*c + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 44, 3, 5 in decreasing order.\nAnswer: 44, 6, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let q = 0.22 + -0.12. Let t be ((-8)\/10)\/((-1)\/(-5)). Which is the third biggest value? (a) m (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/5, 1, -19533?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-3 - -5)\/(-6). Which is the closest to l? (a) -0.3 (b) -3\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 7*t + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10955.4 + -10956. Which is the third biggest value? (a) g (b) -0.5 (c) 0.07 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/6*6\/8. Put m, 3, 2\/3, -53 in descending order.\nAnswer: 3, 2\/3, m, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 18*h**2 + 19*h + 8. Let m be b(19). Determine r, given that 3*r - 4*r**2 + r + r + m - r = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 996, 1177, 1440, 1791?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 21851874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 20*u + 1. Let b be m(1). Let a = -11 + b. Suppose -2 = -2*z - a. Sort 0, -2, z in descending order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - 3)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31360 and 24353?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Suppose -2*q - 6 = -n*q. Suppose -2 = -w + 2. Is q less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, 15, -5, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:32 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/12*(-3)\/(-2). Let u be (0 - (-2)\/2) + 2. Sort x, 0, u in decreasing order.\nAnswer: u, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21570 + 37951. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3619 times -2.781?\nAnswer: -20.4734439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*k**3 + 5 + 4.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010 (base 10) in base 12?\nAnswer: 4082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, 66709, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(208)*6.\nAnswer: 3 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 207445257, 207445255, 207445251, 207445245?\n\"Answer: -s**2 + s + 207445257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 + k. Let q be z(-4). Let u = -26 + q. Solve -c - 1 = -u*x, 17 = 4*x - 4*c - c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 123, 394, 917, 1776?\n\"Answer: 14*r**3 + 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**3 - 20*d - 43 - 10*d**2 - 25\/4*d**4. Let p(h) = h**3 + h + 1. What is 20*p(k) + t(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 134 = -2*o, -k + 4*o = -3*k - 244. Calculate the remainder when 25 is divided by k\/(-9) - 2\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/7*i**3 + 6\/7*i**2 + 10\/7*i + 4\/7 - 2\/7*i**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 77, 94, 117, 146?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**2 + c - 1. Let u be w(1). Suppose 5*q + 12 = p + 2, 3*p - 5*q - 20 = 0. Suppose p - u = f. Let s(v) = -v**2 - 4*v + 5. Give s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-4))\/(756\/864)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 - 27*p**2 - 7*p - 2. Give l(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 10 - 34 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, 4.324805, -2 in ascending order.\nAnswer: -2, 0.1, 0.5, 4.324805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 8 = -y, -4*y + y - 4*n - 29 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:00 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - 0.02. Suppose -3*o - 3*q = 27, o - 54 = 750*q - 742*q. Which is the third smallest value? (a) o (b) 6 (c) 5\/6 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -10. Let v = -9.9 + 7.9. What is the closest to 1\/4 in h, 2\/15, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*n + 6 = 0, 3*l = n - 0*n - 17. Let k = -1588 - -3040. Let r = k + -1450. Put l, r, 4 in ascending order.\nAnswer: l, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/15)\/(((-2)\/60)\/((-75)\/225))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -21210008 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19741 + 138193\/7. What is the closest to 1 in q, -2\/31, -0.18?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 150*m + 1130 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2738*r**3 + 416028*r**2 + 22494*r + 304 = 0 for r.\nAnswer: -1\/37, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 514 and 16013927.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 h when three letters picked without replacement from eyhyyyehhyyeyh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l**2 + 3*l**2 - 8 - l**2 - 5*l**2 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0, 0.9, 0.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -387\/22 or -19?\nAnswer: -387\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 247662*j**3*l - 1560*j**2*l - 2*j**2 - 63*j*l + j + 2*l - 1 wrt j.\nAnswer: 1485972*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i + 1. Let a be v(3). Suppose 1 = f + 2. Is (f*a)\/(0 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 221*p**5\/20 + 323*p**4\/12 - 162*p. What is the third derivative of j(y) wrt y?\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(175) - sqrt(175) - sqrt(175)) + -2*(sqrt(175) + -2*sqrt(175)))**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1775119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*i - 27, -4*n - 8*i = -7*i - 21. Let f(b) = b**2 - 4*b. Give f(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 0.02 (c) -5 (d) 3961 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**15\/z*z*z*z**(-11) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -563088 - -4.\nAnswer: -563084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9169320 rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77454\/5 or 15492?\nAnswer: 15492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1, -1, -2\/3, -2, -0.0248, 3\/1864?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26208.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*y - 0*v - 430, -v = -5*y + 698. Suppose -y = -11*f + 4*f. What is the highest common factor of f and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 31 = -2*v, 0*k + 4 = 3*v - k. Let j(l) = l - 2. Let o be j(2). Suppose o = -v*f + 3307171 + 5692829. What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5309, 10051, 14777, 19487, 24181?\n\"Answer: -8*c**2 + 4766*c + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*l**3 + 10*l + 21*l**3 - 3*l + 3 in the form b*l + x + a*l**3 + p*l**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -27 (b) -4\/11 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 25*g - 6. Let f(y) = 4*y - 1. Let w(d) = 6*f(d) - z(d). Let x(q) = q. Let h(u) = -u**2 - 10*u + 4. Let k be h(-10). Calculate k*x(p) + 5*w(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5023360 is divided by 786.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 + 2*y - 4. Determine r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3238*j = 3255*j - 255. Solve -5*l + j = -5*p, -l = 2*p - 0*l + 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*a*a*a*a**(-2\/3))**(-2\/13) assuming a is positive.\nAnswer: a**(-8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 24858*a**2\/5 + 50866272*a\/5 - 521166720.\nAnswer: 3*(a - 50)*(a + 4168)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17878743 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 5*x + 5. Suppose 12*a - 160 = -20*a. Let n(r) be the second derivative of 7*r**4\/12 - r**3 + 3*r**2 - r. What is a*c(i) - 4*n(i)?\nAnswer: 2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.1 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*q + 254, g - 92 = q - 10. Suppose -4*n = -3*n - g. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336872276 is divided by 7869.\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*x - 3, -3*i - 6 = -3*x - 0*i. Suppose k = -x*k. Solve -7*h + 2*h = k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2469*q + 2466*q = -1506, -v = 2*q - 750. What is the remainder when v is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -37. Let s be ((-3)\/((-3)\/5))\/1. Solve w = -b - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:19 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkkm when four letters picked without replacement from kkkfllkkmkkmlm.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/3271 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v = -1443 + 531 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 76 = -3*q + 4*q, 5*t = -5*q + 420. Let x = 161 - q. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - k**2 + 11*k**2 - 25*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -62 - (29 + 41 + (-48 - 32)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 594 (c) 9 (d) -63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 e, and 1 y when three letters picked without replacement from {x: 2, y: 1, i: 1, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = 3*d - 4*c, 4*c = 4. Let z(l) = l + 7. Let m be z(-5). Suppose m*k + 143 = 3*i - 0*i, -4*i = d*k - 219. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-12))\/(3\/(-2)). What is the highest common divisor of p and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 21*a - 18. Let i be j(20). Suppose 0*o - o - i*o + 9*o + 2*o**2 = 0. Calculate o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 67412089 and 15.33.\nAnswer: 67412104.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 5*p + 17, -4*p = -5*z + 19. Factor -4*t**2 + 89*t + 11 - 93*t - z.\nAnswer: -4*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 38 = -18*c - 45. Let g(x) = -3*x - 28. What is g(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -16.\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 + 9*z**2. Let q(r) = -9*r**2 - r**3 + 2*r + 11*r**2 - 2*r. Calculate 2*m(n) - 9*q(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 226*t**2 + 149*t + 2141. Is c(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/(-2))\/((-35)\/(-25)) + 30432\/(-35504).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595 and 1783529.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 + 25*x**2 + 87*x + 63 = 0.\nAnswer: -21, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/120 - n**5\/60 + 2*n**3 - 16*n**2. Let z be x(0). Is (-45)\/z*32\/(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -101. Let j = -1032.026 - -1029. Let d = j - -0.026. Which is the closest to s? (a) -0.1 (b) 2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 53, 55, 57?\n\"Answer: 2*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8791 = -661*z + 29282 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q + 361*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 - 189*m**3 - 819*m**2 + 1005*m = 0.\nAnswer: -5, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221 + -3?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f**2 + 2*f**2 + 2 + f**3. Let k be o(-3). Find the third derivative of 2 + 3*q**4 - 2 + q**k - q**4 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let c(o) = 167*o - 8. Determine z(c(g)).\nAnswer: -55778*g**2 + 5344*g - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:38 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-16)*(58\/174)\/(2\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 183?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1 + 14*4\/40). Suppose 0 = -5*t + n*t - 2*z - 761, -t + z = -154. Suppose 2*u + 2*u - 699 = -y, -u - 5*y = -t. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**27\/x**31)\/((x\/(x*x**(-27))*x)\/((x\/(x*x*x*x\/x**(-2\/11))*x)\/x*x)))**(-3\/5) assuming x is positive.\nAnswer: x**(1128\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -4, 99, 0, -0.0276, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {v: 4, c: 3, a: 2, l: 2, n: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241.98ml in litres?\nAnswer: 6.24198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/3 + 2687*n\/3 + 7144 = 0?\nAnswer: -2679, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 12:20 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0019 (b) 0.21 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 97127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1898*n**3*q**2 + 3434*n**3*q - 677*q**2 - 17*q - 3 wrt n?\nAnswer: 5694*n**2*q**2 + 10302*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20686199, -41372384, -62058569?\n\"Answer: -20686185*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*x - 15 - 26*x + 62*x - x - 11*x - 2 + 14*x + 4*x - 3*x + 0*x + (-2 + 0 + 4)*(x + 3 - 3).\nAnswer: 8*x - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from ffjffwwqb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 10 + 2*k**2 + 1 + 1 in the form q + a*k + i*k**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 2*o + 6. Let y(r) = 13*r**2 - 5*r + 18. Let z(j) = -11*q(j) + 4*y(j). Let d = -3 + 6. Is 12 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*q - 121*q - 17840 = 211*q for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 9, -n = -a + 1. Let z(k) be the first derivative of 1 + 0*k + 2\/5*k**5 + 2\/9*k**3 + 0*k**n - 2\/3*k**4. Suppose z(x) = 0. What is x?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16*v = -275. Solve a = 6*a + v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17331557?\nAnswer: 823, 21059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*k - 1607 = 0, -5*h - 13*k + 8035 = -17*k. Is 51 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1331 - 1331 - t**2. What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 5. Let y = 11 - f. Let k = -38 + 39. What is the second smallest value in y, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8151278 litres in millilitres?\nAnswer: 815.1278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - k - 11 = 0, 3*k - k + 8 = -m. Let z = 4 - m. Suppose 2*d + 15 = 5*p, 3*p - z*d = 2 + 3. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l. Suppose -w - 2*c - 9 = 0, 5*w - c + 3*c + 13 = l. Let x be (-6 + -1)*w\/1. Solve -2*t - x - 3 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 62) + 10 + 98 + -78.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 11427.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 81 = 2*t - v, -4*t - 78*v = -81*v + 328 for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 246?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + q = 47218594, 2*q = 5*g - 456883 - 21006129. Round g to the nearest 10000.\nAnswer: 4290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1504 and 95\/3384.\nAnswer: 13536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3070585 or 0.1?\nAnswer: -3070585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 11*k**2 - 32*k - 51. Calculate v(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29907 is divided by 87.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -21*l + 144. What is g(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 7. Let f be v(7). Suppose -4*k + 9 = o, 14*k - 4*o = 12*k - 18. Put 2, -2, k, f in ascending order.\nAnswer: f, -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*j**3 - j + 587*j**2 - 2*j - 84*j**3 + j - 29*j**3 to the form c*j**2 + v + z*j**3 + i*j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 49. Let s = n - -1. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11066343 is divided by 190?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372942 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 18*t - 243. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3086*i + 3079*i + 35 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 + 1392*i**2 + 121104*i = 0.\nAnswer: -174, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.17 + -2.77. Let b = -60.3999704 + l. Round b to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(20)\/sqrt(4) + 4)**2 - ((sqrt(550) - -1*sqrt(550))\/sqrt(11))\/sqrt(10))*-3 + 0.\nAnswer: -162 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4.15 (b) 0 (c) 2\/5 (d) 229\/4 (e) 1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 153 + -2 - (4 + -5). Let d = 11 + 8. What is the highest common divisor of n and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 5081, 0.1, -5\/178?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2\/3, -3\/2, 1330, 0.6?\nAnswer: 1330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 1941390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*f - 23, -80 = -5*w + 46*f - 50*f. Let t = 84 + w. Solve -t + 105 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (14 + -8 - 11) - -4 - 53.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f + 9*f**2 - 17*f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1664521268 and -0.27.\nAnswer: -1664521268.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695357 is divided by 380.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0562407 take away -5.7?\nAnswer: 5.6437593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17427, -139867, -472317, -1119783, -2187271, -3779787, -6002337, -8959927?\n\"Answer: -17501*s**3 + s**2 + 64*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let u be -3*1\/3 + 1. Suppose o = 1 - u. Let v(y) = -1 - 21*y + 26*y + o. Calculate v(n(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -32. Suppose -5*p + 5*c = -j, 3*c - c = -p + 17. Suppose k - z = 5*k - 67, p = 3*z. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14 = 71. Let y = -80 + m. Let g(t) = -t**2 - 6*t + 5. Let d be g(-5). What is the greatest common divisor of d and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*o**5 + 7*o**4 - 791*o**3 + 259*o**2 - 2670?\nAnswer: -480*o**2 + 168*o - 4746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13817398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221.56 rounded to the nearest 10?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evhhdxbvbvhxxbv. Give prob of sequence bxv.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3232340 (base 5) in base 13?\nAnswer: -1c264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -964 - -1236. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*g + 33 = 0, 0 = 2*g - 0 - 6. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825\/(-300)*(125\/(-110))\/5*2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 142?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 7*y - 5. Let t be p(-5). Suppose 4*j = 4, -t*m + 55 = 4*j + j. Let s(q) = q**3 - 11*q**2 + 13*q + 7. Is s(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 90*c**2 - 26 - 73*c**2 - 108*c**2 + 89*c**2 - 52*c. What is v(-24)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1892 = 4*v, -4*v + 6*v - 2*n = 942. Let l = -466 + v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*c**2 + 116 + 73*c**2 - 218 with respect to c.\nAnswer: 98*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/360 - o**5\/20 + o**4\/3 + 23*o**3\/3 - 101*o**2. Let n(x) be the first derivative of l(x). What is g in n(g) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/126*14\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 710963 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2225909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-20))\/(1\/(-10)). Find the third derivative of u*m**6 + 0*m**2 + m**6 - 5*m**2 wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84*255\nAnswer: 21420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83119768 is divided by 8851?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -2*w - 7*r - 5, -3 = -3*w + 4*r. Factor 0 + 0*n + 0*n**2 - 3\/2*n**w - 1\/2*n**3 + 2*n**4.\nAnswer: -n**3*(n - 1)*(3*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let m(p) = p**2 + 12*p - 104. Let w be m(-18). Let s(x) be the second derivative of 0*x**3 + 0 + w*x + 0*x**2 + 1\/4*x**4. What is s(c(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11841 divided by -4?\nAnswer: -11841\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 5. Let l be y(4). Let p = l + 16. Is 8\/(-4) - p - -82 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, 6, -7.5, 3, -4070.\nAnswer: -4070, -7.5, -0.5, 0.5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101001000 (base 2) to base 7\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 19445*q**2 + 1700005*q + 36748875.\nAnswer: -5*(q - 3975)*(q + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14896 and 121600?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*b = 2 + 12, l + 8 = -4*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 870?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.67414453 - -4060?\nAnswer: 4061.67414453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139, 111, -29, -359, -957, -1901?\n\"Answer: -13*n**3 + 22*n**2 - 3*n + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3225553 is divided by 1052.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from owqoqoqaqoqqqqqoqqqq.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1243*k*s**2 + 157*k*s + 1 wrt s?\nAnswer: -2486*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 23 + 9. Let x be (-9)\/u*4\/6. Suppose 11 = -2*q - 3*f, -q - 36*f + 33*f - 10 = 0. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/88*(-1)\/6*-4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411 + 13024354?\nAnswer: 13023543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*m**5*p - m**3*p**3 - 2*m**2*p**3 + 2*m*p**3 + m*p**2 + 34*p**3 wrt m.\nAnswer: 460*m**3*p - 6*m*p**3 - 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2822263 is divided by 1306?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tik when three letters picked without replacement from {d: 6, h: 1, i: 4, k: 2, b: 2, t: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2822109 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*1*1*(sqrt(288) + sqrt(288) + -1 + sqrt(288))*1)**2*1.\nAnswer: -2592*sqrt(2) + 93353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -8. Let m = 8 + i. Which is the third biggest value? (a) 2 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189 - -192. Solve -c*d - 27 = -21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1303?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/120 + y**5\/12 - y**4\/8 + 7*y**3\/6 + 4*y**2. Let m = -8 - -13. Determine i(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.75 - 0.22. Let k = t - -1.3. Let a = k + 0.08. Round a to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 422539?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.31 from -49544.19.\nAnswer: -49542.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m - 2 = 0. Suppose -4*p + n = -14, m*n + 2*n + 2 = -2*p. Solve 3*t + 2 = 2*d - p*d, -2 = -3*d - 5*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11233\/8618834 + -1\/11954. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -90. Let b = w + -78. Let z = -13 - b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5329*v**2 - 3*v + 26. Let l be f(-21). Round l to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c + 20*c + 72 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7473 + -1764. What is the common denominator of 4\/18 - ((-313)\/(-36))\/(-1) and (2\/(-36))\/(55\/h)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 8*a + 37*a + 1.\nAnswer: 29*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**3\/3 - 32*c**2 + 84*c + 80\/3.\nAnswer: (c - 10)*(c - 4)*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31 + 23 - 22 + 19*w**4 with respect to w.\nAnswer: 76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5650 and 9.\nAnswer: 5659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**7\/2940 + f**5\/420 + f**3\/3 + 2*f. Let h(w) be the second derivative of z(w). Find b, given that h(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*r + 35121128*m**3 - 5061792*r with respect to r.\nAnswer: 3*m**3 - 5061792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44 + (-12)\/42*-7. What is the common denominator of p*(-45)\/362 - 5\/1 and 38\/3?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-594)\/135)\/((-2)\/10). Let p(g) = -24*g + 47*g - l*g. Let o(k) be the third derivative of k**5\/15 + k**2. Calculate p(o(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 72. Suppose 385 = -i*n + 1323. Suppose -2*t = -5*g + 2*t + n, 146 = 5*g - t. Is g < 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d - 4. Let u be p(6). What is the second biggest value in 0.4, u, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100101001011011111101 (base 2) to base 3.\nAnswer: 200002002012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**3 - 17*n**2 + n + 26. Let q(b) = -11*b**3 + 15*b**2 - b - 25. What is -7*j(z) - 8*q(z)?\nAnswer: 4*z**3 - z**2 + z + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 3. Let h(u) = -1. Let c(k) = -6*h(k) + r(k). Let n(g) = -2 + 5 - 2. Let i(t) = -c(t) + 6*n(t). Find the first derivative of i(l) wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a millennium?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10 = w, -2*n = 3*w - 7*n - 30. Let u be 235\/w + 1\/2. Calculate the greatest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 800 and 17025600?\nAnswer: 17025600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.8 + -3. Let h = 132.1 + -132. Sort -3\/2, h, a in descending order.\nAnswer: h, a, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 + 0 = 0. Let j(k) = 4*k + 8. Let c(t) = t + 1. What is y*j(f) + 3*c(f)?\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 877440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauuuu. What is prob of sequence au?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 19 = -4*m + 2*s, 4*s + 55 = 5*m. Let p = -5 + m. Let -2*z**2 - 4 - 3*z**2 - 2 + 15*z - z**p = 0. What is z?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40461528.\nAnswer: 2, 3, 1685897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -150002825 to the nearest 1000000.\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 18*q + 1260 = 0. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32821 divided by 45.\nAnswer: -32821\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 - 3*h**3 - 5*h**3 - h**3 to z*h**3 + g*h + s + l*h**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(11) + ((sqrt(77) + 2*sqrt(77) + sqrt(77))\/sqrt(7))**2) - ((2*sqrt(44))\/sqrt(4) + sqrt(11)).\nAnswer: -176 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 99\/13860*770*10\/(-7)\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 5\/2*s**2 + 13\/3*s**3 + 9 + 4*s. What is the units digit of a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 11:19 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 2*b + 1. Suppose 17*r + 13 - 64 = 0. Calculate the least common multiple of n(2) and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17918 divided by -8959.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 808.679699 to 2 decimal places.\nAnswer: 808.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -122298 divided by 218\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*a - 84*a - 36*a + 267*a - 88*a.\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/50)\/(4\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207099\/67900 + -1\/16975. Find the common denominator of j and (-1 - 142\/(-6))*(-217)\/248.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6129 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3517, 9219, 17109, 27187, 39453, 53907?\n\"Answer: 1094*y**2 + 2420*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 2*y + 97 - 6*y**3 - 94 - 10*y**3 - 2*y**4 in the form p*y**4 + n*y + l + d*y**2 + h*y**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165)*-5)\/sqrt(5))\/sqrt(11))**2 + (sqrt(3) + 0)**2 + -3 + -2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.8 in 1.6, -0.5, 0.3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770188 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -50*q - 131. Let j(y) = 70*y + 127. Let n(u) = -2*j(u) - 3*o(u). Give n(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21146324 rounded to three dps?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(8*2 - -2). Suppose 2*p - 8 = 2*w, 3*p - w = -0*w + n. Let q = 8 - p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llltlllllt. Give prob of sequence tll.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n + 521. Let d be g(-47). Solve -d*l + 9*l = -a - 1, l + 5*a = 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k**3 - 2*k**2 - 7*k - 9. Let j(x) = 8*x**3 - x**2 - 3*x - 4. Give -9*j(o) + 4*s(o).\nAnswer: -8*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. What is the third derivative of 2*h**2 - h**v + 10*h**6 - 21*h**6 wrt h?\nAnswer: -1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 2*r**2 + 1. Let j(i) = 7*i**3 - 51*i**2 - 93*i - 44. Let l(s) = -j(s) + 3*w(s). Let l(y) = 0. Calculate y.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = 92*z + 1040 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in -1, 2\/13, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = -32*x - 4. Let u = 4\/15 - -16\/15. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:10 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18747070 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*o - 107*o - 3900 + 1520 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/529 (b) -2 (c) -0.3 (d) 472 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027581 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 37192510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.111 - -0.111. Let d = c - -45. What is the third smallest value in 0.6, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 40. Suppose -3*t = -3*g - 12, g - 7 + 20 = o*t. Suppose t*m + c = -3*c + 1185, -5*c = -5*m + 1940. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -477*p + 494*p - 153. Let h be -2 + ((-6)\/(-3) - 3). Sort h, -5, p in decreasing order.\nAnswer: p, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 237*h + 105. Let i be m(-8). Let j = -1204 - i. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28677222.055 less than 1917?\nAnswer: -28675305.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.2, -0.4, 41, 2\/31459?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2111674.6000013 - 2111674. Let s = 0.6 - n. What is s rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -1.388?\nAnswer: -3.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 88, -2 in ascending order.\nAnswer: -3, -2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 5. Suppose -a - 2*y + 7 = 0, 4*y = h*y + 1. Solve 0*k = 3*k + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*((s**(-6\/13)*s)\/s*s)\/s))\/s)*s*(s**(1\/6)*s)\/s)\/(s*s**8*s*(s\/(s*s*s\/s**(-26))*s)\/s) assuming s is positive.\nAnswer: s**(1615\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 135837*o**2 + 135837*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 1. Let l be q(3). Suppose 4*d - l*x - 25 + 10 = 0, 5*d = -4*x + 29. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85, 541, 1753, 4099, 7957?\n\"Answer: 63*f**3 + 15*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -498, -589, -674, -753, -826, -893?\n\"Answer: 3*s**2 - 100*s - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + 2. Let u = o - 39. Let j = 26.4 - u. What is j rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116001082*k - 1116001043*k - 1 + 1.\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.71 (c) 1\/3 (d) -1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (8 + (8 - 8) - -10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 869*m**3 + 8*m + 88.\nAnswer: 5214*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j - 3*j)*(j**2 + 0*j**2 + j**2) + (-77 - 139 - 8)*(0*j**3 - 2*j**3 + 0*j**3) as i*j**2 + t*j + k*j**3 + x and give k.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19008 or 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cb (base 13) to base 16.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -39*q**2 + 27*q. Let a(z) = -2*z + 2*z**2 - 3*z**2 + 4*z**2. Let g(h) = -27*a(h) - 2*t(h). Let c(m) = -2*m**2 + 2*m - 2*m. What is g(c(v))?\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 5596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 261*f**3 - 2678*f**2 + 8640*f - 8672.\nAnswer: (f - 4)**2*(f - 2)*(f + 271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 215616 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 not equal to 5775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.085452mm?\nAnswer: 0.000000085452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -46*a**3 + 3*a**2 + 4*a + 3. Let n be z(-2). Suppose 2*v - 4*t - 385 = v, 2*t + n = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 greater than or equal to 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2\/25, 1, 0.022, 7 in decreasing order.\nAnswer: 7, 1, 0.022, -2\/25, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 102 - -330\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = -m - 6, 5*k - 49 = 4*m. Let t = 11638 - 11613. Calculate the remainder when t is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 12. Let a be b(16). Let c be 14\/a*(-3 - 47). Suppose 2*k - 323 = c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 19 (b) 4 (c) -0.0959\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173823369 to the nearest integer?\nAnswer: 13184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/9))\/((w\/(w*w*w\/w**(-8\/7)*w))\/w))**39 assuming w is positive.\nAnswer: w**(4849\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16469080 by 4.\nAnswer: -4117270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539) + -3)**2.\nAnswer: -54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/11 (b) 2\/17 (c) -2\/7 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1741 + -1677. Is q bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -365*w + 1539 = -136*w + 8638 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/9)\/5)\/(59\/((-1475)\/550))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 180.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i - b, 4*i - 1 = 3*b + 18. Let t = -18 + 35. Suppose i*n - t = 3. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203\/4 + -356\/7. Find the common denominator of -41\/196 and w.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 0 + -12 + -22 + 23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f + 5*p - 374234, -3*p - 18 = 0. What are the prime factors of f?\nAnswer: 2, 11, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 4*t = -2368, -3*k + 3*t + 1410 = 0. Is k a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 9. Let h(f) = -10*f + 14. Calculate 5*h(n) + 7*m(n).\nAnswer: -n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from wwwwuwuuuwuudwwuda?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:52 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 28 = -3*w - 17, 26 = -2*w - 4*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*r**3 - r**2 - 54?\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*w + 1021*w + 8 = 509*w, -u = -w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:51 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 78.1. Let r = p + -9.8944. Round r to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748775.7nm to micrometers.\nAnswer: 748.7757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3791?\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuvu when four letters picked without replacement from {v: 1, u: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 29\/55 (b) -0.02989 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6217263 and 1404?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000131428 rounded to six dps?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2094599199 - -0.12\nAnswer: 2094599199.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 61 + 60 + 3*d**2 - 127 - 3*d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365 and 433547.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47710694 and 2086.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Differentiate 2*o**w + 2*o**4 - 2*o**4 + 10 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607 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: Simplify (sqrt(3328) - sqrt(1300))**2*-3 + -2 + 3 + (4 + 2 + sqrt(637))**2.\nAnswer: -730 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 12*a + 9. Let y be z(-5). Let u(s) = -128*s**3 + 2*s**2 + 2*s + 1. What is the tens digit of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7103302 (base 8) to base 9\nAnswer: -3458428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/12)*p*p\/(p*p**(-3)\/p*p)*p)\/(p**9*p*p**(-1\/13)*p))**(2\/15) assuming p is positive.\nAnswer: p**(-911\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 28932588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -1\/3, 2, 34?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 9. Let u(j) = 2*j - 18. Let t(h) = -3*u(h) - 7*v(h). Let y be t(8). List the prime factors of 2 + y - -12 - 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 - 36*g + 349. What is the ten thousands digit of r(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120096?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + f = 145, 0 = 25*a - 20*a + 5*f - 125. Suppose 11*r - 6*r = a. Let v = -29 - -60. Solve 32 = 3*n - 4*o, -4*n + r*o + v = 3*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 + 6. Let l be o(7). Let y be (-9)\/(1\/(28\/l)). List the prime factors of ((-18)\/4)\/(7\/y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29869228 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17694, -70740, -159150, -282924, -442062, -636564?\n\"Answer: -17682*q**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q + 51. Let y be b(0). Let s = 51 - y. What is the nearest to s in 0.5, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 9\/2 (b) -275 (c) -2\/9 (d) 1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -1092, -2455, -4364, -6819, -9820?\nAnswer: -13367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*3)**2 + -5 + sqrt(1088) - sqrt(1088) - (sqrt(1088) - (0 + sqrt(1088) + -1))**2) + 5 + -4.\nAnswer: 9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.1 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 11*l + 12. Let s be n(5). Suppose 26 = s*v + 5. Solve -5*m = -a - 10 - v, -m - a + 5 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - m + 8. Let a(s) = 3*s**2 - s + 15. Let o(f) = 4*a(f) - 7*j(f). What is o(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -799 and -296007\/371 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 298? (a) 2\/2099 (b) -5 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1012*0.0921.\nAnswer: 0.00932052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 87. List the prime factors of y(-21).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (186 - 91 + 375*j - 94)*(8*j**2 + 3*j**2 + j**2) as s*j**3 + p*j**2 + u*j + q and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*l + 12 = 0, 69*v - 4 = 68*v + l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 118, 118, 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 4*n - 3. What is the remainder when v(-2) is divided by (-2 - -1)\/((-3)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34437.934 - 34409. Let z = 57 - 28. Let a = z - g. What is a rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 35*x + 105. Give q(28).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(((-35)\/75)\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3351318 is divided by 81.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2704582l to millilitres.\nAnswer: 270.4582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 0*f + 0*f)*(-4*f**3 + 3*f - 3*f) - 4*f**4 - 288 + 288 to k + p*f + u*f**2 + a*f**3 + o*f**4 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = f - 35, -u + 3*f + 10 = -25. Suppose -2*m + 0*m = r - 56, m - u = 3*r. Calculate the highest common divisor of 29 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/990 + (-417180)\/18920 + 22.\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.548 + -18.048. Which is the third smallest value? (a) 7\/3 (b) r (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(96)\/sqrt(2) + sqrt(48) + 1)**2 + (sqrt(30)\/sqrt(160) - sqrt(3)) + 5 + 1*sqrt(3).\nAnswer: 65*sqrt(3)\/4 + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o + 4. Is s(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848457549 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -609 + 707.7. Let p = -99 + q. Which is the closest to -0.1? (a) 0.5 (b) -2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78103731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = 2*t, 3*l + 3*t + 13 = 7*l. Suppose -l*n - q + 23 = -16, q = n - 11. Suppose 0 = n*c - 23*c + 7579. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9344.158 centimeters to nanometers.\nAnswer: 93441580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3\/3 - 7*d**2\/2 + d + 470. What is u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -27768*a - 444259. What is y(-16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 3*f. Let q be c(3). Suppose 2*n = -q*t + 3*t + 14, 4 = -4*n - 2*t. Calculate the lowest common multiple of n and (0 + 1)*(10 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -134*u - 2 - 3*u**2 - 2*u**2 - 658*u**3 + 0*u**2 + 126*u. List the prime factors of g(-1).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 3*j**3)*(-16434*j - 17 + 16434*j + 35*j**2).\nAnswer: 70*j**5 - 34*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:22 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1\/5 (c) -12 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**8))\/(s**(-3\/7)\/s*s)*s**(-1\/6)\/s**5 assuming s is positive.\nAnswer: s**(137\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-10)\/1))\/(16 - 15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-3 - -2) - -2. Let y(t) = 6*t**2 + 3*t + t + 5*t**3 - 2 - n. Let c(g) = -5*g**3 - 7*g**2 - 5*g + 6. Let j(x) = 6*c(x) + 7*y(x). What is j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 12. Let g(w) = 2*w**3 + 4*w. Let s(a) = -6*a**3 - 11*a. Give i*g(b) - 4*s(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12 and -8\/687782397.\nAnswer: 2751129588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18498 divided by -4?\nAnswer: 9249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4800 and 1\/6.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 14 = 3*w + 5*q, 2*w - 31 = q. Let y(u) = -20*u - 156. What is the remainder when w is divided by y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -32. Let t = y - 22. Solve -t*i + 16 = 4*g + 5, 0 = i + 5*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22264 + -9?\nAnswer: 22255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefbnenlnfeefnee. What is prob of picking 2 e?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**4\/24 + 5*l**3\/6 + 2*l**2. Suppose -2*r = -5*d - 9, -4*r + d = -3*d - 24. Give j(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14616, -29224, -43832, -58440, -73048?\nAnswer: -87656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153191?\nAnswer: 153191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -14.2. Let p = s - -4.6. Let y = -2.7 + p. Which is the second biggest value? (a) y (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from femeseeeessesmse. Give prob of picking 2 s and 1 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.992? (a) -3 (b) -5 (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.029 + 0.271. Which is greater: y or -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1, -306 in increasing order.\nAnswer: -306, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 - 3*-1. Suppose -2*i = -51 + o. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8, -4*t - 20*y = -23*y + 18. What is the smallest value in -8\/13, t, 0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79893, -159303, -238729, -318177, -397653?\n\"Answer: -c**3 - 2*c**2 - 79397*c - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (15 - 6))*(0 + -5 + -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/38 + 1\/19. Suppose 0 = -z - z - 6. Let x be 5*(1 - (-6)\/z). What is the third biggest value in x, u, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12611, -12084, -11565, -11054?\n\"Answer: -4*w**2 + 539*w - 13146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*1300\/(-10166)*17.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-t**2 + 3*t**2 - 3*t**2) + 3*t**2 + 2*t**2 - 2*t**2 + 3*t**2 + 5*t**2 - 4*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/21)\/y*y*y**5\/y)\/(y**(5\/6))**(3\/26) assuming y is positive.\nAnswer: y**(4315\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + 51\/(-4))\/((-1)\/(-4)). What is the smallest value in 0.5, -355, 3, m, 1\/6?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744 a factor of 40995360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(15\/66) - (63 - -11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 30, 3, -68, 2\/5, 0.09, -0.3, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 0*x**5 + 11*x**3 + 0*x**2 + 0*x**4 + 0*x**6 - 120 + 0*x + 88\/7*x**7. Find the third derivative of m(i) wrt i.\nAnswer: 10560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 - -1) + 2 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180848232 and 1.\nAnswer: 180848232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (12 + (-7 - -15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*w = 24, -2*n - 3*w - 27 = -11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*w - 127 = 638. Let s(x) = -1608*x. Let d(r) = -48*r. Calculate w*s(p) + 168*d(p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/144*2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/180)\/((-2)\/12). What is the hundreds digit of (-6)\/(619\/311 + z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*1*-5*-2 + (sqrt(288) - (sqrt(288) + 1)) + sqrt(2) + (sqrt(18) - sqrt(2))**2*3.\nAnswer: 23 + 91*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.9996ug to kilograms.\nAnswer: 0.0000008659996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639226 is divided by 3088.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(700) - sqrt(700)*-2))**2*5 + 3.\nAnswer: 551\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9494 at least as big as 9497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*j - 104 - 34*j - 110.\nAnswer: 24*j - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 297547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/24)\/(5902\/(-227)).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 986109 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 5*b**4 - 3*b**4 + (-2*b**3 + 2 - 2)*(-5*b + b + 3*b) - 37*b**3 + 10*b**4 + 37*b**3 + 0*b**3 + 3*b**4 + 0*b**3 - 2*b**2.\nAnswer: 14*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 1 - 2. Let f(k) = k**2 - 2*k - 4. What is the units digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 59*d**2 - 28*d + 57. What is o(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.22 (b) -3 (c) 1 (d) 7\/1198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -1293*y + 1302*y + 176 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) -8.7 (b) -4\/7 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*c**4 + 2*c**3 - 30*c - 5.\nAnswer: 468*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 + 5723 = -4*h. Let r = -2712 + h. Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3 - 90*l**2 - 189*l - 96 = 0?\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n + 4*w + 4, 2*n = -w + 5. Suppose -2*p - n = 8. List the prime factors of (49\/3 - -1)*p\/(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 13)*(0*m + 4*m - 3*m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.38 rounded to one dp?\nAnswer: 65.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 185. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(208))**2 - sqrt(208) - sqrt(208)) + 0.\nAnswer: -8*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, -4*k - 20 = 2*c + 3*c. Let f = k + 8. Suppose 5*i + 15 = 0, f*b - 7*b - 5*i + 11985 = 0. Round b to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2736 by -456.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7750 and 16151.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -29158.07\nAnswer: -14579.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -7085, -0.8, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 at most as big as -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/110 and (3 + 212\/(-8))*(-4)\/(-176).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*x - 29, -x + 11 = -2*d + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f + 0 - 22*f + 0 - 3 - 2 to the form u*f + j and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 99640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 c when three letters picked without replacement from cbdcbicic.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 14\/29, -6\/7, 83?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 138\/(-295) + 8\/20. Let l = -2688726917\/295 - -9114316. Let i = l + z. What is the common denominator of -83\/8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 23189628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (99 + 374 - 1678 - 1275)*(5*r**2 - 3*r**2 + 0*r**2) to d*r**2 + p*r + b and give d.\nAnswer: -4960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*p. Let k be (5 + -4 + p)\/(-1). Let x be k\/(2 - 4) + 4. Calculate the greatest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:21 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288054.\nAnswer: 2, 3, 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 2156.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1243*q + 27. Let j(v) = -247*v - 5. Calculate -11*j(c) - 2*y(c).\nAnswer: 231*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -260.9 + 260.9. Which is the nearest to p? (a) 0.2 (b) 5 (c) 2\/1103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 79. Suppose n*p - 2 = -5*c - 55, 40 = -4*p + c. Are -11 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2534 > -2540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 2*q + 9)*(-q**2 + 0*q**2 + 0*q**2) + 6*q**3 - 3*q**3 - q**3 to u*q**3 + a*q + k + f*q**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720140 (base 8) to base 9.\nAnswer: 402011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, 292, 5 in decreasing order.\nAnswer: 292, 39, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61096537*f*l*x**2 - f*l*x - 20*f*x + 9*f + l**2*x**2 + 13*l**2 - 24*l*x wrt x.\nAnswer: 122193074*f*l + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10757, 10756, 10755, 10754?\nAnswer: 10753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 13*k = -115204. Let m = -11801 - k. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -3. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -3, 5, -17377, 1\/58?\nAnswer: -17377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244332 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1338 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-5)\/(-10)). Suppose 2*b - 3*a = -7, 0 = -x*b + 4*a + a - 11. What is the closest to -0.1 in b, -3\/7, 2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 16. Let u be i(12). Suppose -4 = -u*b - 0. Suppose -3*v + 0*v = p - 5, v + 5*p = -3. Calculate the remainder when v is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1695*o. Let r(m) = -214480*m. Give r(v(u)).\nAnswer: 363543600*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/((f\/((((f**(2\/9)\/f)\/f)\/f)\/f))\/f))*f)*f\/f**(1\/7))**26 assuming f is positive.\nAnswer: f**(-3146\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -12. Let s = -22\/81 + -112\/1377. Which is the closest to s? (a) 2 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348039282 is divided by 69607856.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3) + 2 + (-1 + sqrt(108))**2 - (2 + (sqrt(432)*2)**2 - -5*(sqrt(432) + 1)).\nAnswer: -1624 - 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 18. Let g(n) = -n**2 + 7*n - 4. Let j be g(4). Let u be z(j). Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c + 193. Let n(x) = 14*x - 128. Let j(p) = -5*d(p) - 8*n(p). List the prime factors of j(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 13*c**2 - 8*c + 16. Suppose 28 - 4 = 2*r. Is x(r) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 31. Solve 2*a - m*w = 6*a + 36, -3*w = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14434045?\nAnswer: 5, 2886809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 16. Let j be o(-3). Suppose -5*k + j*k + 72 = 0. What is the highest common divisor of 696 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 102?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 4:10 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-13\/5)*t)*t\/(t**(-1\/15)\/t)*(t\/(t*t**(3\/7)\/t*t*t*t))\/t**16 assuming t is positive.\nAnswer: t**(-289\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*o*w**6 + o*w**2 + 7*o*w + 2*w**6 - 2*w**2 wrt w.\nAnswer: -9000*o*w**3 + 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, h: 3}. Give prob of picking 1 p and 3 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 + 6. Let p = v + 0.5. Let a = 11 - 10. Is p not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3333\/4 + 10045\/12. Let v = 1111 + -6599\/6. Find the common denominator of v and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3007 or -0.5142?\nAnswer: 3007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**4\/24 + c**3\/2 + 72*c**2. Let s be g(-4). Solve s = u + 2*y + 17, 0 = -5*u - y - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -418.391 to the nearest integer.\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.230007308 - 2.1?\nAnswer: -0.869992692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42208311 and 98486059?\nAnswer: 295458177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6786768 - 2609107.\nAnswer: -9395875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31\/4, 4 in descending order.\nAnswer: 4, 2, -31\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 3299, 5722, 8691, 12212, 16291?\nAnswer: 20934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004971 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78, 209, 392, 627?\n\"Answer: 26*l**2 + 53*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*t + 31 = -3*p, t - 6 = -3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, -0.1, 11 in decreasing order.\nAnswer: 20, 11, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -236 + 0*t**5 + 0*t**4 + 0*t - 13*t**3 + 23\/2*t**6 + 0*t**2. Find the third derivative of r(q) wrt q.\nAnswer: 4140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 357 = 267 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzzmzzmzmmm. What is prob of picking 2 m?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from qrrtrgrgr.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 1501149.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2472 - -1675. Let t = -795 - q. Sort -1, 60, t in descending order.\nAnswer: 60, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2 - 14. Let r be (g\/15)\/2*-9. Which is greater: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9231 and 9.\nAnswer: 27693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**2 + 2*a - 4. Let y(x) = 7*x**2 + 2*x - 3. Give 5*v(g) - 6*y(g).\nAnswer: -2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 16*v - 16. Let w be o(15). Let x be w + -1 + (13 - 1). Let g = 114 + -64. What is the highest common factor of x and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5484 is divided by 5320.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.7 from -0.122.\nAnswer: 3.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/c*c*c)**(-31)*c**(2\/23)*c**18 assuming c is positive.\nAnswer: c**(-4575\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviavaxxaviiaaivii. Give prob of picking 1 v and 1 i.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 3, 78 in ascending order.\nAnswer: -5, -3, 0, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065499357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1554 + 1553.6. Put -0.5, -91, p, -1\/4 in decreasing order.\nAnswer: -1\/4, p, -0.5, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161c8 (base 14) in base 4?\nAnswer: -31133110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135041 is divided by 13504.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**13*x**(-1) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 180*l**2 - 6*l + 4. Suppose -8 = -2*t + 2. Let m be d(t). Let x = m + -40205\/9. Find the common denominator of x and 113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -1?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lybb when four letters picked without replacement from bblbyllblblllblll.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/23 and -37\/59.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4 - 12. Let j(h) = h**3 - 4*h**2 + h - 1. Let q be j(k). What is the third smallest value in -0.1, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-4) + 3)*2. Let t be (1\/(-3))\/(g\/(-21)). Suppose -5*z = 4*i - 61, -4*i + t = -2*z - 19. Sort -5, i, -1.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-90)\/(-100)*8\/15)\/(5304\/(-1040)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10812 - -11214. What is the remainder when l is divided by 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*j - 24, 3*y - 2*j - 8 = y. Let v be (-3)\/(-12)*y*-2. Let h be 22\/10 - (-5)\/(-25). Sort h, v, -0.5 in ascending order.\nAnswer: v, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -34*i - 15*i + 48*i - 4. What is z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -33*c**2 - 260*c + 354. What is r(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7298, -8586, -10734, -13742, -17610, -22338, -27926?\n\"Answer: -430*t**2 + 2*t - 6870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -53. Suppose -3*f + 75 = -b*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4774 + -1652. What are the prime factors of j?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m - 8. Let g be n(6). Suppose -3*b + 19 = 5*k, 4*k - 6*b = -2*b - g. Is k != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 - 3*l**2 + 0*l**5 + l**5 + l**5 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81059, 81063, 81067, 81071, 81075, 81079?\nAnswer: 81083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:39 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, 3 in decreasing order.\nAnswer: 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -4*q + 3*y, -4*q - y = -2*q - 101. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + 6 + (0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 9*m = 0, -4*m = 3*k. Solve -c + k*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10*f - 54 = 0. Let n(m) be the first derivative of -3*m**2\/2 + 5. Let x be n(0). Solve -2*c + d = -x*d - f, 5*d + 18 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*t - 707*t + 353*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 56\/5) + (-2)\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551931007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + 43. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 + 7*x**5\/60 - x**4\/4 - 2*x**3\/3 + 3*x**2. Determine c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 12*n**2 + 14. Let q(y) = 28*y + 128. Let l be q(-5). What is p(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 1 - 3 - 2*q**2. Let v be g(-3). Solve 0 = t + 3*s - 2, 5*s = -2*t + v*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - i + (0 + 5 - 3)*(0 + 0 + 2*i) + 1 + i - 1 - 2 - 2*i + 2 + 146*i + 50 - 50)*(-3*i**2 + 2*i**2 + 2*i**2).\nAnswer: 148*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-280)\/(-6))\/5)\/(12\/(-54)). Let a be (67186\/6 - 2)\/(308\/g). Let z = 1527 + a. Calculate the common denominator of z and 55\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067637 centuries in millennia?\nAnswer: 0.0067637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -84190 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3509 + 3718. Calculate the remainder when 641 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 32*g - 3*m - 6 = 0, 2*g = -5*m + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 18*p - 9. Let i be b(-15). Let g be (-4)\/(-20) - 22\/10. Is 6672\/i - g\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-4)\/(-1))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:35 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4860 = -0*i. Let w be 97\/582 - 2*17\/(-12). Suppose -3*j + 3*r + 2421 = r, r - i = -w*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3 (b) -5 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b + 3. Let t be x(-3). Suppose 319 + 95 = -138*z. Put 0, t, z, 2 in decreasing order.\nAnswer: t, 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from legfeqlhheqhehhleq. Give prob of picking 1 e and 3 h.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4235, 8502, 12775, 17060, 21363, 25690?\nAnswer: 30047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 4*v**2 - 3*v + 2. Let l be p(3). Suppose -9 - 1 = -l*j. Suppose j*k - 2*k = 0. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-34)\/((-1768)\/(-78)))\/(2\/52). Let z(u) = -52*u - 39. Let o(g) = g + 1. Calculate a*o(m) - z(m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497*j + 1539*j - 630 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -6*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/2 + (-60)\/(-450). Let b = -4.97 - 0.03. What is the third smallest value in -4, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 242499*a**2 + 10*a + 18. Let i be c(12). Suppose -34919990 = -x - 2*x + 5*b, -3*x + 3*b + i = 0. Round x to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -70513 in increasing order.\nAnswer: -70513, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11736562*v + 9377238 wrt v.\nAnswer: -11736562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 16 + 2*k**3 + 21 + 3*k - 3*k**3 + 4*k**2. Determine f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224612 - 2*o**2 - 248846 + 3*o**2)*(3 - 3 - 2*o)*(o - o**2 - o).\nAnswer: 2*o**5 - 48468*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*t = 22, 0 = -b + t - 2*t + 1. What is the third derivative of b*u**2 + u**2 + 0*u**6 - 3*u**2 + 10*u**6 wrt u?\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -1, -2173 in increasing order.\nAnswer: -2173, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/11 + 869032*i**3\/11 - 94402946156*i**2\/11 + 188803285224*i\/11 - 94401208098\/11 = 0.\nAnswer: 1, 217257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -337 + 334. What is the closest to -1 in w, -12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 5 - 55. Let i = -2 - v. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 38, 52, 66?\n\"Answer: 14*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 56 = -19*h. Suppose -q = h*a - 442, -4*q = -a + 89 + 30. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**2 - 60*a - 120. Let d be z(-2). Solve 5*p = -13*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567) + 4 - sqrt(567)))**2 + -4*(-3 + sqrt(7))*2.\nAnswer: -8*sqrt(7) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -6) + -11 + 5 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {l: 2, e: 3, q: 1, o: 6, x: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20794 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 13) in base 9?\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 59, -117 in increasing order.\nAnswer: -117, 11, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11))**(-39)\/(v*v*v**(2\/11)\/v*v*v*v*v*v**10))**49 assuming v is positive.\nAnswer: v**(-12005\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 741.5 + -747.5. What is the closest to -1\/3 in 0.08, p, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 = -2*n, 11*y = -n + 2329 - 2430 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 79 + 133234*m.\nAnswer: 133234*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(48)\/(-3*sqrt(8) - sqrt(8))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3*o + 8)*(o + 2*o - 2*o - 3 - o + 3 + (-1 - 4 + 3)*(3*o - 4*o - o) + 2 - 2 + o + 2 - 2 - 2*o + 0*o + o - 2*o)*(-2 + 3*o + 2).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:10 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30964344 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98160 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: Which is the nearest to -2\/9? (a) 2\/7 (b) -0.4 (c) -28 (d) -0.2 (e) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14*l - 20. Suppose -358*g + 348*g = 50. Determine w(g).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11090 - -11088. Let s(g) = 2*g - 3*g + 2 - g. Determine s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1774\/2195 + -18\/2195. Suppose -2\/15*u**2 + 0 - p*u = 0. Calculate u.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + 1)*-1 - (-1*sqrt(1200))**2*-2.\nAnswer: -20*sqrt(3) + 2399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2. Let g = 13541 - 13531. Let z(h) be the second derivative of -5\/12*h**4 - g*h + 0 + 0*h**2 + 0*h**3. Give p(z(v)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055326167 rounded to three dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_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: Evaluate 11\/(5 + -82)*-14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2 + -5*68\/(-10). Let f = -25 + s. What is the first derivative of -10*n**4 + n**4 + 2*n**4 + f wrt n?\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j - 9. Let a(y) = 18*y**2. Calculate a(r(w)).\nAnswer: 2178*w**2 - 3564*w + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7466, -3512, 3072, 12280, 24106, 38544, 55588?\n\"Answer: -z**3 + 1321*z**2 - 2*z - 8784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + f + 1, 4*k + 3 = 3*f - 6*f. What is the least common multiple of 18 and -1*(-2 - -1)*(7 + k)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**6)))**(-13)\/(((h\/h**0)\/h)\/h)**(1\/6))**(-45) assuming h is positive.\nAnswer: h**(8175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 128 + 33)*(-2*o + o + 3*o)*(-3*o**3 - 2*o**3 + 3*o**3).\nAnswer: 756*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vem when three letters picked without replacement from mevlmmllvv?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -818, -1838, -3266, -5102?\nAnswer: -7346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 107, 5 in descending order.\nAnswer: 107, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -176714*d**2 - d + 176087*d**2 + d as k + q*d + n*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37896*r**5 - 1171*r**4 - 15*r + 3021666 wrt r?\nAnswer: 757920*r**3 - 14052*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4445652221+3\nAnswer: -4445652218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/5, 4\/3, -1.2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 - 37 + 463 + 410 + 14)*(0*q + q - 4*q) to i + c*q and give c.\nAnswer: -2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12720\/1908)\/(4\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*l + 7429894 = -7575789 + 6201587. List the prime factors of l.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {f: 5, y: 1, d: 5, v: 7, n: 1}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 6\/5, -0.5, 3, -0.1823, 0.2 in increasing order.\nAnswer: -0.5, -0.1823, 0.2, 6\/5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 4394.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 565236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*m - 6 = -172*m. Suppose 5*n + 15 = -5*p, -14 = 3*p - 5*p + m*n. Let i(v) = 7*v - 5. Calculate i(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Find the common denominator of 3\/h*(-87)\/21 and 55\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3, 4*y - 5 = -121*v + 116*v. Solve -y*h + 5*n - 159 + 189 = 0, 2*h = -n + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 12*u + 14. Let a be m(11). Suppose 6*x = a*x + 21. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 15. Let v(t) = 1. Let m(f) = -c(f) + 15*v(f). Let o be m(4). Solve -4*p = -2*r + o, -5 + 1 = -4*p - 5*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-182))\/(6\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3921*l**2 + 3515*l**2 - 9185*l**2.\nAnswer: -9591*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, h: 2, d: 2, i: 1, w: 2, q: 4}. Give prob of picking 1 d and 2 w.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 83511 = -3*i, -111*l + 55674 = 2*i - 110*l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/6 - 14123*y. Let w(z) = 1146*z. Give w(i(t)).\nAnswer: 1146*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/((-2)\/(-18)) + 5. Is w <= -0.052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*s - r, 5*r = -3*s + 2*s - 27. Suppose -3*x + 2 = v, -5*v = -v - 3*x - 68. Let z = v + s. Solve -z = -j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 9*k - 4. Let s be 26\/(-39)*(k + 0 + -1). Let g(r) = -5*r**2 + r + 2. Calculate g(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/12 + -8\/3. What is the closest to -1\/2 in 2\/41, s, -5?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - y + 26. Give p(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.8 (b) 3\/7 (c) -34 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4558.47 + 4645. Let u = p - 87. Round u to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 7*l - 3*l + (2 - 2*l - 2)*(21 - 51 + 64))*(58*l**2 - 21 + 90*l**2 + 21).\nAnswer: -9472*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 41492 and 41494 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-1))\/((-2)\/(-20)*-4). Suppose 5*v + 0*v - 2*g = -10, 5*v + 3*g = p. Suppose -3*u + v + 12 = 0. Solve u*n + 1 + 15 = 2*f, -n - 5*f - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y - 10. Put 2, y, -3 in descending order.\nAnswer: 2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2227 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j - 2*q + 2120, -544 = -j - 4*q. What is the highest common factor of 2304 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52423 divided by -202\nAnswer: -52423\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -13, -21, -29, -37, -45?\n\"Answer: -8*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 7*h**4\/4 + h**3\/3 + 14*h - 130. What is the derivative of t(l) wrt l?\nAnswer: 21*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 18*q. Is 6 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -5*k**8\/56 - 8*k**7\/21 - 41*k**4\/4 + 122*k. Find the third derivative of c(g) wrt g.\nAnswer: -600*g**3 - 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00325931597 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -186, -192, -200, -210, -222?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533622 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 717*h**5\/20 - 382*h**3\/3 - 884*h**2. Differentiate z(m) with respect to m.\nAnswer: 4302*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(2015*x + 177*x**3 - 2015*x).\nAnswer: -177*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.2 - -24. Let r = -1.6 - -1.2. Sort z, r, 5 in increasing order.\nAnswer: r, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 62 + 28. Let c be (-4 - m)*(-3)\/(-6). Suppose c*h - 6*h - 17 = 0. Is 1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578 - 566 + 170*r + 1144.\nAnswer: 170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w + 12*w + 10*w - 67*w in the form y + m*w and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - ((sqrt(280) - sqrt(280)*-1) + sqrt(280))*5)*5)\/(sqrt(50)\/(sqrt(20)*-4)))**2.\nAnswer: 8780800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/50)\/((-249)\/(-830)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 10*c**2 + 9*c + 27. Let m be i(11). Suppose 0 = -31*o + 32*o - m. Calculate the greatest common factor of o and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3 - 4*j**2 + j. Suppose 4 = 10*b - 6*b. Let t(s) = s**3 + s**2. What is b*w(x) + 4*t(x)?\nAnswer: -4*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 30 + 83 + 29)*(-n + 3*n - 3*n).\nAnswer: -2*n**2 - 142*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -63027509?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 0*j**3 - 2*j**3)*(j**2 + 0 + 0) - j**5 - j**5 + 0*j**5 + j**5 - j**5 + j**5 + (-5*j**4 + j**4 + 3*j**4)*(-j - 2 + 2).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25681, -51442, -77191, -102928, -128653, -154366?\n\"Answer: 6*z**2 - 25779*z + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3268016 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hht when three letters picked without replacement from {h: 3, t: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0 - 21*u**2 + 0*u + 1\/6*u**3 + 0*u**4 + 1\/10*u**5. Determine r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(325))**2 - (sqrt(117) + 0) - (sqrt(26) - (sqrt(26) + (sqrt(3744) - (sqrt(3744) + (1*sqrt(3744) - sqrt(3744))) - sqrt(3744))))\/(1*sqrt(18)))*4.\nAnswer: -28*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 16 = -27*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*o - 1 = 0, -2*q - 4*o + 38 = -0*o. Let z(c) = -c**2 - 13*c + 5. Suppose 0 = -0*j + j + 10. What is the remainder when z(j) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685122 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a. Suppose -3*q + 15 + 7 = -4*z, -5*q - 3*z + 56 = 0. Does 10 divide o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 10 = -4*l, -8*l + 12979*k + 180 = 24*l + 12975*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - sqrt(135)*-2*6)\/sqrt(5))\/(3*sqrt(441)*-2).\nAnswer: -13*sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13611)\/(-131573)*1\/(-21).\nAnswer: -1\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 265284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 35*r**2 - 6*r. Let f be u(5). What is f rounded to the nearest ten?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**15*l*(l\/(l*l**(3\/10)*l*l*l))\/l)\/((l\/l**(-12))\/(l**(-1\/8)\/l*l*l)) assuming l is positive.\nAnswer: l**(23\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -0.28. Which is the second smallest value? (a) d (b) 2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -146 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-27))\/((-42)\/3780)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/(-245)*(-5)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 263588257 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and -3988230 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -126646 (base 8) in base 9?\nAnswer: -66873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.08 - -1.92. Which is the fourth biggest value? (a) 0.1 (b) o (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -276*t**3 + 1026*t - 3329760?\nAnswer: -828*t**2 + 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 9 = 5*j, j - 5 + 4 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11071, 21995, 32775, 43411, 53903?\nAnswer: 64251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4533980442 to the nearest integer?\nAnswer: 67335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -15, 4.866, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Suppose 0*r + h = -r, -86 = -4*u - r. Let z = u + -16. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, 5 in descending order.\nAnswer: 5, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 63. Solve 7*m = l*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40170000 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835*x + 844*x = 729. What is the remainder when 378 is divided by x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 11:05 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74228 and 3388?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (9 - 14) + (-6 - (4 + -2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 - 12?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2 + 9960*m = 0?\nAnswer: -3320, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-44))\/(-8 + (-686)\/(-112))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**7\/42 - 101*a**6\/30 - a**5\/10 - a**4\/12 - 997*a**3\/6 + 53*a - 13. Find the third derivative of i(u) wrt u.\nAnswer: -60*u**2 - 2424*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.7 - 1.7. Let s = 3 - h. Let v = -1 - s. Sort v, 0.5, -0.3 in decreasing order.\nAnswer: v, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9459047.8767 and 59.8.\nAnswer: 9459107.6767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -18.931. Round n to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9341051360 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4*j - 6181*f**2*j + 19*f + 892133*j wrt f?\nAnswer: -4*f**3*j - 12362*f*j + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*f - 24 = f, 14 = m + 4*f. Let l = 5196 - 5185. Solve -m*o = 2*w - 2*o - 26, -l = -2*w - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7906103 to the nearest integer?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5 = 5*r, 4*a - 5 = 5*r - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) 12\/11 (b) 5 (c) -5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m = 157*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9166 divided by 9166\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04785 to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1136)\/(-426)*9\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*p + 1, -2*n - 5*p + 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 48 = 9*w. What is the remainder when (348\/9)\/((-92)\/(-69)) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/i**0)\/((i\/((i**(4\/7)*i*i)\/i))\/(i\/(i*i*i*i\/(i**1\/i)*i)))*(i**1*i**(2\/5))\/i**(-20) assuming i is positive.\nAnswer: i**(594\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -157*p**3 + 6*p**2 + 12*p + 6. Let i(k) = -3926*k**3 + 151*k**2 + 302*k + 151. Calculate 6*i(d) - 151*y(d).\nAnswer: 151*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:06 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 2*n, 2*n + 5*k + 31 = -n. Let b be (0\/(3 - -1))\/n. Suppose 6*r - r - 425 = b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2496.84374 to the nearest integer.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d + 248572?\nAnswer: 2485b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -627 * 1\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38576, -154405, -347460, -617747, -965272, -1390041, -1892060, -2471335?\nAnswer: -3127872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-one fifths of a microgram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2780 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -970, -3896, -8782, -15634, -24458, -35260, -48046, -62822?\n\"Answer: -f**3 - 974*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 17*g - 441 = 0. Let t = g + 102. Let o = t + 75. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 1038 - 1918 = -162*t + 1040 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8672 and -457.191?\nAnswer: 8214.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1000101010000?\nAnswer: 1000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 49. Let d = o + 45. Let x(z) = -2*z - 8. Is x(d) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*u - 7*u - 59, 5*v = 2*u - 45. Let w = -7 - v. Differentiate 6*h**4 - 4*h**4 - 4*h**4 - 5 - 3*h**w wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2488 + -2486. Solve 8*q + 6 = w*c + 12*q, -5*c = 5*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 17, f: 2}. Give prob of picking 1 f and 1 m.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from vrrrvvzzvvzvvvvrvrzr?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 0. Let x be 2\/(-5)*(-13 + t). Solve -x*f - 6 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, s: 7, e: 1}. Give prob of picking 1 t and 2 s.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-4 - 192\/(-6). Suppose -10 = -5*f, -2*f + 6*f = 2*h - c. Solve 2*t + 9 + 0 = o, -5*t - h = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {q: 3, y: 6, k: 3, r: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85176597 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2804 and -89\/22120756?\nAnswer: 22120756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9561*f + 66977. Give x(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3992245*v**4 + 2*v**2 + 103548068*v?\nAnswer: 47906940*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/12 - s**3\/3 + s**2\/2 + 47*s + 2. What is j(-9)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -235 and -4?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1025\/41)\/(-25)*8*1 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1593 (c) 0.01 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*j - 11 - 4, -2*j = -2*p + 6. Suppose p*k + 0*k - 15 = 0. What is the third derivative of -10*y**3 + 3*y**2 - 10*y**2 + 4*y**2 - k*y**3 wrt y?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222010120 + 10?\nAnswer: 1222010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 116730865 to the nearest one million.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence php when three letters picked without replacement from hddhddpppptdd.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6292 and 5148.\nAnswer: 56628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*s - 74*s - 74*s - 74*s + 295*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 120?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 4*b - 4*b + (-7 + 2 + 4)*(3 - 3 + 2*b**3) - 9*b**3 - 7*b**2 + 7*b**2.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2552?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/13 - 22\/13*y**4 - 146\/13*y**2 - 86\/13*y**3 - 2\/13*y**5 - 112\/13*y = 0. What is y?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48629*w**2 + 2 + 48799*w**2 - 97379*w**2 - 1 - 1.\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -3 + (-2 - -1). Let q(w) be the third derivative of 5*w**4\/24 + w**3\/2 - w**2. Let d(s) = -2*s + 0*s + 3*s - 2*s - 1. Give u*d(f) - q(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + y. Let c(m) = 448*m**2 - 8*m. What is 3*c(l) + 24*f(l)?\nAnswer: 1272*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c. Let i be g(6). Let k = -55 - i. Calculate the remainder when 79 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331001 (base 6) to base 4.\nAnswer: 12230221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150618 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*w**2 - 1416 + 1416 + 78*w**2 + (-2*w**2 + 2 - 2)*(2 - 2 + 2) to j*w**2 + z*w + f and give j.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-595 - -622) + -1 + -26 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 12, -1183, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/388050 and 83\/398.\nAnswer: 388050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2597*k - 88294. Calculate b(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770718?\nAnswer: 2, 23, 29, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 90 = 25*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*u)*(2*u - 5*u - u)*(549*u - 32*u + 176*u).\nAnswer: -5544*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204480 by -2840.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzjjjzzzjj. Give prob of picking 3 z and 1 j.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 4*f**2 + 10*f + 9. Suppose 0 = -8*z - 11 - 21. Let n be b(z). Let w = 59 + n. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2124989\/328 - (-4)\/32*3. What is the greatest common divisor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1560*p + 23794. Give r(-17).\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/77*-7*6\/486*2.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Suppose h - 2*h = 3. Let c = a - h. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qgqqwqqqqwgmwdhq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (37 - 31) - 16) + -8 + 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 701*g**2*y**3 - 36568*g*w*y**3 + 707*w*y**3 + 2*w*y**2 - 8*y**2 wrt g?\nAnswer: 1402*g*y**3 - 36568*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/7, 1, 0.2 in increasing order.\nAnswer: 0.2, 1, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1644*p + 20. Let a(v) = -3289*v - 50. Let f(c) = 2*a(c) + 5*m(c). Let j(h) = -h. Determine f(j(d)).\nAnswer: -1642*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 - 2*f. Let i(b) = -b**2 - 15*b - 33. Let j be i(-12). Let v(h) = -h**3 + 2*h**2 - 3*h. Calculate j*v(u) - 4*z(u).\nAnswer: u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4217 + 4220. Let n(x) = 2*x**3 - 3*x**2 - 9. Give n(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266d4b (base 15) to base 5\nAnswer: -433030441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440663.\nAnswer: 101, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 0.12, 1.5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-54)\/189)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52713103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j + 4*w - 48 = 0, 221 = 5*j + w. Let h be j\/56 + 2\/(-4). Let -2\/7*n**3 - 2\/7*n**2 + h*n + 0 + 2\/7*n**4 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243686 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4709.8224ms to hours.\nAnswer: 0.001308284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86*s**3 - 217*s**2 - 241890 wrt s?\nAnswer: -258*s**2 - 434*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 9 - -7) + -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose t + 3*t - v*n + 4 = 0, -5*t - n + 14 = 0. What are the prime factors of 1*-1 - (-1 - t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5506747, 5506753, 5506761, 5506771, 5506783, 5506797, 5506813?\n\"Answer: u**2 + 3*u + 5506743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620619867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825\/7*v - 276\/7 + 9\/7*v**2 = 0. What is v?\nAnswer: -92, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.163 + -0.063. Let l = 3.5 - 3. What is the second smallest value in -5, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 42840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 31*f + 34. Let l be w(-7). Let h = l - -308. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6628 + -32.3372. What is the second smallest value in m, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 538422.1 to the nearest 100.\nAnswer: 538400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -214192*v + 1. Let q be b(-1). Let g = q + -1247193. Round g to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 356\/20 + -1 - (34 + -26) - (-2 + 10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a century in months?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2353, -2347, -2339, -2329?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 2208723. Let n(o) = 2*o**2. Calculate k(n(s)).\nAnswer: 6*s**2 - 2208723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 112. Suppose 5*n - m - 438 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/108 and 73\/6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b - 16. Give a(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 167 = -33. Suppose -12*y + q + 14 = 0. Solve -y*x + 0*x = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 2*sqrt(200)*6 + sqrt(200) + sqrt(200) - sqrt(200))\/(sqrt(32)\/(-1*sqrt(8))).\nAnswer: -70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36002470?\nAnswer: 2, 5, 7, 31, 47, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694, -804, -912, -1018?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 3*p - 5. Let b be l(5). Suppose 2*y - b*j = 117, 272 = 5*y + 3*j - 36. Let a = 114 - y. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 2*l**3 - 3 + 3*l**4 - 16 + 13 - 2*l**2 to s*l + b + q*l**2 + y*l**4 + c*l**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -116 - 173024?\nAnswer: -173140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**18\/(p**(-1\/9)*p*p\/((p*p\/(p*p**(-2\/15)*p))\/p)*p) assuming p is positive.\nAnswer: p**(-709\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680578*a - 44 = 680582*a - 4*j, -a + 4*j = 26 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11095, -22191, -33287, -44383, -55479?\n\"Answer: -11096*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 - -993. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 h, and 1 k when three letters picked without replacement from {t: 1, k: 4, h: 2, f: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 20*c - 54. Calculate z(-11).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 292 = -3*v - 17*i, -2*v + 180 = 3*i. Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 9 = -7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17083130 is divided by 323.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 6*x**2 + 2*x + 19. Let f be 4*(-9)\/(-24)*(-64)\/(-6). Let w be f\/(-4 + 8) - 10. Let o be c(w). Put 2\/7, o, 0.1, -0.5 in ascending order.\nAnswer: -0.5, 0.1, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 17325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 933211\nAnswer: -83988.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7595 divided by 1085.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3\/13 + 68*t**2\/13 + 166*t\/13 - 620\/13 = 0.\nAnswer: -31, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 4. Let i(m) = 6*m - 2*m + 3*m + 10 - 14. Let t(z) = -3*z + 2. Let f(a) = -2*i(a) - 5*t(a). Give -7*f(h) + 4*r(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000713723 to seven dps.\nAnswer: 0.0000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -1625*h**3\/3 + 175*h**2\/2 - 65. Let k(g) = 28*g**2 - 3*g. Let r(j) = 175*k(j) + 3*p(j). Let i(c) = -3*c. What is i(r(y))?\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - u - 99, -5*q - 5*u + 35 = -45. What is the second biggest value in q, 11, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/24*224\/12*(-16)\/32\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -30885\/184?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6840 and 1\/324.\nAnswer: 61560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*u**3 - 24*u**3 - 9*u**3)*(-210*u - 178*u + 100*u) to the form p*u + r*u**2 + t + b*u**3 + d*u**4 and give d.\nAnswer: 3744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10294 + 9354 + 918 + 0*m + 3*m.\nAnswer: 3*m + 20566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 2. Let w(y) = y**3 - 6*y**2 + 3*y + 7. Let o be w(5). Let x be l(o). Let b be (0 - -1) + 18\/(-15). Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) - sqrt(18)\/sqrt(2)*-5)*-1 - ((-1*sqrt(76) + sqrt(76))*2)\/(sqrt(196)*2).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*r + 244*r - 96*r**2 - 72*r**2 + 170*r**2.\nAnswer: 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18580 is divided by 184.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.7 and -1111.\nAnswer: -1112.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -2\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - 21001?\nAnswer: -21125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 3*v**7 - 8*v**3\/3 + 57. Find the third derivative of w(f) wrt f.\nAnswer: 2520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 5*c. Suppose -35 = 5*y - 5*k, 7*y + 13 = 4*y - k. Let s be a(y). Solve s - 5 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 6 = -m, 6*m - h - 3 = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7250 is divided by 402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)\/(n\/((n*n*n\/n**(2\/5)*n)\/n)))**(-1\/8)\/((n*(n*n\/(n*((((n\/(n*n**1))\/n)\/n)\/n*n)\/n*n)*n)\/n*n)**(-12\/5)*(n**1\/n)**(-44)) assuming n is positive.\nAnswer: n**(853\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x**2 - 957*x + 2438. Determine h(77).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 723.235l in millilitres?\nAnswer: 723235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -3.488?\nAnswer: -3.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 72 = 16. Let i = -210598 - -210640. Calculate the lowest common multiple of u and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 + -233. Solve -3*v + 2*p - 23 = 0, p - 1 - y = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:19 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199205*y - y**2 + 199205*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(27)\/(sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3)).\nAnswer: sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*s + 3*s - 2*s)*(1063 - 1167 - 670).\nAnswer: 774*s - 2322","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100110 (base 2) to base 6.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3061 is divided by 952.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479005918 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5. Let q = 137\/3 - 1123\/24. Are c and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/292 and -63\/1606.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -111\/373?\nAnswer: -111\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3405*c + 3375*c = 870 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -5, -0.43, -2041, -3\/2 in increasing order.\nAnswer: -2041, -5, -3\/2, -0.43, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1664 - 832. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/i**1))\/i)\/i)**(-35) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 13*m - 2. Let h be o(11). Suppose -i = 2*d - h, 2*d = -d - 2*i + 28. Suppose -3*c - c - d = -3*q, 5*c - 8 = -2*q. Solve c*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 39.9207. Let m = 2.0793 + l. What is the nearest to m in -2\/11, 0, -1\/2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.44 + -1.14. Let j = -51.7 - -55. Let p = j - f. Put p, -0.4, 5 in decreasing order.\nAnswer: 5, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.75 - 0.55. Let r = -1916.7 - -1917. What is the third biggest value in l, r, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/25 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + -111. Let h(a) = a**2 + 4*a + 1. Let f be h(-4). Is q < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x - 6. Let d(j) = j**2 + 1. Let r(n) = 11*n**2 + 2*n - 4. Let h(o) = 2*d(o) + r(o). Does 23 divide h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -2.6. Let u = 2 + -6. Which is the closest to y? (a) u (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.8 (b) -4 (c) -8048.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -0.043118.\nAnswer: 7.956882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74858*p**3 - 105992*p wrt p.\nAnswer: -449148*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 575425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -234583.77 to the nearest 100.\nAnswer: -234600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3891, -7780, -11669?\nAnswer: -15558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let i = -0.16 + 0.36. What is the third smallest value in -0.2, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 3. Let x be m(3). Let w = x - -6. Let i(h) = -h + 0*h**w - 8*h**3 - 2*h**2 - h**3 - 4*h**3. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2763459 milligrams to tonnes.\nAnswer: 0.0000000002763459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekekeeknkkkekkee. What is prob of sequence nkk?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*8\/(-40))\/(1\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 + -22 - -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n - 31. Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6902*a**2\/3 - 10346102*a\/3 - 5996\/3.\nAnswer: -2*(a + 1499)*(3451*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**4 + 6*u**4 - 4*u**4)*(2*u + 3*u - 3*u) + (-u**3 - 2*u**3 + 5*u**3)*(1857 - 1857 - 170*u)*(3*u + 0*u - 2*u) + 4*u**5 + u**5 - 2*u**5.\nAnswer: -341*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/20 - (-9573)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037984037 to 5 dps.\nAnswer: -0.03798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18551 * -48.341.\nAnswer: -8.96773891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(4))\/sqrt(11) - sqrt(243)*1)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1960401*n**3 + 4*n**2 + 16*n - 75561 wrt n.\nAnswer: -11762406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4929 + -4879. Suppose -96 - 2 = -i. What is the remainder when i is divided by w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617390 >= 2617390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4533*n = -4693*n - 3520 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 7*w**2 + 7*w**2)*(-1 - 2*w + 1)*(-24 + 43 + 30).\nAnswer: 196*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10937731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103201112 + 2?\nAnswer: -103201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 71*u**2 + 29*u - 64. What are the prime factors of n(6)?\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -3, -87 in ascending order.\nAnswer: -87, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 5*k = 7*w + 88920, 2 = -2*k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnonwwwwnnw. Give prob of picking 2 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 234 = 4*f, 2*r + 5*f = -0*r + 234. What is the remainder when (-14)\/35 - r\/(-5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwrrrhllhiht. What is prob of sequence tlli?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/30*-3*40\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = -4*v - 5*r, -5*v + v - 336 = -4*r. Let x = 133 + v. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/7 + 454704*s\/7 - 129912.\nAnswer: -6*(s - 75782)*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 13) to base 7\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13054541 (base 7) to base 11.\nAnswer: -743197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9436*u + 18851. What is c(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4160e - 0?\nAnswer: 4160e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 30390604.64.\nAnswer: 30390604.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/6)\/(3\/(-54)). What is the units digit of (-60)\/a*54\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*v - 27 = 0, -3*v = -10 - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -917, -3685, -8299, -14759?\nAnswer: -23065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 - 31)*9\/(135\/(-40)). What is the greatest common divisor of y and 5312?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283929 is divided by 166?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 3*o**2 + o + 5. Let u be h(3). Suppose 5*l + 32 - u = 0. What is the smallest common multiple of l and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -2401.\nAnswer: -2401, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 125686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 - 4.1. Let r = f + 0.3. Suppose 31*m - 33*m + 12 = 0. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 365, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2509.\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28360 - 28361. Which is the nearest to l? (a) -5 (b) 1\/10 (c) 304 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 + (-10 + 2)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 5 - -3)\/((-3)\/339) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let s(h) = h + 39. Is s(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(272) + -1 + 3 - (sqrt(272) + 3 + 1 + -2))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 g when four letters picked without replacement from ttgggt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*w + 3 + 3, -3*j = w - 21. Suppose -5*o + 9 + j = 0. What is the second derivative of 3*s + 2*s**o + 0*s - 2*s wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6*f + 66 = 0, 717247*u - 2*f - 3*f - 65 = 717251*u + 46 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, d: 1, l: 1, x: 2, g: 1}. What is prob of sequence xx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 78*r - 75*r - 3*v, 4*v = 3*r - 19 + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + -10?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:20 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.53 + 1.07. Let p = -27 + 42. Let a = p - j. What is the nearest to 3\/2 in 2\/7, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2755, -0.592, -3, -0.2, 4, 2?\nAnswer: -0.592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -526\/91 (b) 0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, l: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-2)\/(-4)*(8 - 26). Let c(j) = -17*j**3 + 5*j + 9. Let w(h) = -9*h**3 + 3*h + 5. What is s*c(d) - 5*w(d)?\nAnswer: -6*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -443*m**8\/112 - m**5\/10 - 103*m**4\/12 - 4087*m**2. What is the third derivative of w(z) wrt z?\nAnswer: -79740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63128162741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 1:34 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*j - 152*j = -20. Sort 5, -2, j, -5 in ascending order.\nAnswer: -5, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -4*x - 2*r, 7 = 5*x - 3*r. Suppose 6 = 3*o - o + x*v, 5*v + 9 = o. Let u be (-8)\/((-16)\/o) + 7. Solve -n = 6 - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 22*v + 1575. Let o = v - -54. Sort o, -2, 5 in descending order.\nAnswer: 5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23947 - 23743. What is the remainder when f is divided by (-4)\/(-3)*(29 + -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23580 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*h + 35. Suppose -4*l - 4*s = 16, -2*s - 6 = -2*l + 2. Suppose 0 = -5*w - l*w - 5. Sort w, h, -2 in decreasing order.\nAnswer: w, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458372, -3668341, -12381114, -29348093, -57320680, -99050277, -157288286, -234786109?\nAnswer: -334295148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxn when three letters picked without replacement from {p: 2, g: 5, x: 1, n: 8}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1254336394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + (sqrt(153) + sqrt(153) + 0 - sqrt(153)) + 3)**2.\nAnswer: 36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 1184 (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -61, -41, -1, 65, 163?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66075641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 2*u**3 - 10*u**3 + 2*u**2 + 2*u**3 - 2*u**2 + 47*u**3 - 810 + 810 + (0 - 2*u + 0)*(-4*u**2 + u**2 + u**2).\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:19 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**6\/5 + 2*v**5\/5 - 18*v**3 - 2*v + 3. What is the second derivative of i(a) wrt a?\nAnswer: -72*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3154 - -157?\nAnswer: 32ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 540, 945, 1292, 1581, 1812?\n\"Answer: -29*i**2 + 492*i + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.83 (c) -3 (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 p when four letters picked without replacement from lplphpppllhp?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15 + 0)*(-100)\/(-40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d**2. Let l(p) = -244*p**2. Give l(u(o)).\nAnswer: -70516*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46 (b) -2 (c) -0.2 (d) -5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*i - 30, 5*c - 4*i = -13 + 4. Let x = 16 - c. Suppose -21 - x = -2*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 351\/2. Find the common denominator of h and 34*2*4\/48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.219883g to micrograms.\nAnswer: 2219883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325575 and 3735.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or 175\/3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80300 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 12*g**2 + 11*g - 10. What is m(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i**3 - 17*i + 174*i**3 - 50*i**3 + i**2 + 17*i.\nAnswer: 157*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 17*l = 5*x + 40, -2*l + l = x - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000243 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 1547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/296 and (3 - 8637\/(-2220)) + -56 + 49.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.61329mg to micrograms.\nAnswer: 27613.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/(v\/v**(-4)*v*v)*(v*v\/v**(-2\/5))**(1\/8))**(-5\/9) assuming v is positive.\nAnswer: v**(119\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 20) + 10 - (8 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113175*k**2 + 14*k - 113177*k**2 - 14*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.1214843 rounded to 1 decimal place?\nAnswer: 45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose 4*l - 28 = -v*i, -12 = -5*i + 3*l + 32. Let c = i + -2. Solve 0 = 4*z + c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 8*v**2 - v + 6. Let t be u(8). Put -6, -1, t in increasing order.\nAnswer: -6, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -61. Let j(m) be the third derivative of -1\/6*m**4 + 0*m + 1\/3*m**3 + 0 - 1\/60*m**5 + m**2. What is j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a*t**4 - 14*a*t**2 + 3*a*t - 33*t**4 - 3*t**3 + 19*t**2 wrt t.\nAnswer: -120*a*t - 792*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-14)\/(-8))\/((-5)\/8)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/(j*j**(2\/3)*j)*(j*j**(-1))**(-37)*((j*j**(2\/27))\/(j*j\/(j\/((j**(-3\/10)*j)\/j))))**28 assuming j is positive.\nAnswer: j**(1054\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/42)\/(15\/40). Which is the second biggest value? (a) 8 (b) s (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4485682 - -11?\nAnswer: 15.4485682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3421113 and 8\/435?\nAnswer: 496061385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1 - (-13 + 38)) + (-5 - (7 + -15))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2 + 8*w - 3. Let n be x(-6). Let c be 4\/6 + (-77)\/n. Let l = c + 748\/217. Find the common denominator of l and 47\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 6. Let n = g - -3. Let q be 6*(2 + 1)\/24. What is the second biggest value in q, 4, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 8*f**2 + 7*f + 5. Let h = 5 - 12. Let y = 4 - -4. What is the smallest common multiple of v(h) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8769*a = -8963*a + 15908 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1729*f - 118520 = 5*f - 1239*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1386 = 8*w - 2606. Let m = -800 - -464. Let b = m + w. Round b to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62730 and 55760.\nAnswer: 501840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 = -29*s + 459 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1299 and 287406.\nAnswer: 124446798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.83099 and -1.087?\nAnswer: 14.91799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 + 78. Suppose 0 = 5*p - 5, -3*p = -w - p - 44. Let h = w - o. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 164*x - 106*x. Solve 7*d + 9*d + 32 = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/2)\/(8\/(-24)). Suppose -5*z - p = -y, 2*y = -0*z - 3*z + 6. Suppose -20*d + 15*d + 645 = z. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9386707 decades?\nAnswer: 0.09386707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-15)\/468))\/(-20*(-68)\/3400)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4112311\/8 + 514050. Let r = -807723\/40 + 20191. Find the common denominator of r and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 11 = -87 + 14. Let y = 8 - 6. Let j be 2\/(-1 - -3)*4. Solve -b*g + 7 = -j*s - 1, g = -y*s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 24 - 4, 4*b + 5*t - 3*t = 28. Suppose -1 = -r + v, 4*r = -0*r + 5*v + 2. Solve b*u + 2*h + 30 = 5*h, -r*h + 24 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 12. Let u(n) = n - 3. Determine 2*u(d) + w(d).\nAnswer: -2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -62. Suppose 3 = -o + l. Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1573*u**2 + 236*u**2 + 64*u - 64*u.\nAnswer: -1337*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14668.0059 + -14668. Which is the third biggest value? (a) 1\/2 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -f + 97382, -2*o + 22723 = 3*f - 25953. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(8\/7)\/n*n**(-1\/13) assuming n is positive.\nAnswer: n**(6\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 2*b**2 - 4*b + 2. Let z(a) = -a**2 + 1. Determine -o(r) + 2*z(r).\nAnswer: 2*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 22. Let k be b(-6). Suppose -4*i + k = 2*x, 3*x + i = -x + 40. What is the highest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 28. What is the second derivative of h*n**3 + 11*n + n**3 - 4*n**3 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 350*b**3 - b - 351*b**3 - 2*b**4 + 2*b**2 + 2*b + 8 to the form d + y*b + l*b**4 + u*b**3 + w*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:19 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75543246491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/225)\/(15\/(-25)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -221 + -7242252?\nAnswer: -7242473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 3*t**2 + 2*t**2)*(0*t - 2*t + 0*t) + 122*t**3 + 83*t**3 - 101*t**3.\nAnswer: 102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, z: 1, e: 6, v: 3, n: 3}. Give prob of picking 1 n and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l**2 - 55*l**2 + 9*l**3 + 0*l**3 + 13*l**2 - 8*l.\nAnswer: 9*l**3 - 80*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r + 2. Let w be z(5). Suppose 5*n - w = -2*s + 32, s = -3. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrakkarkrrrrarrk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079478634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6 - 112*r + 16 + 36*r + 5. Is b(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/30 and 4\/((-12)\/9) + 3523\/1430.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*m + 114 - 114)*(0*m**2 - m**2 + 3*m**2) - 4*m**3 - 8*m**3 - m**3 as j*m**3 + u*m**2 + b*m + w and give j.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftteaffttatfitftft. What is prob of picking 1 f and 1 e?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 22*n**2 + n + 1. Let m be 2 + -1 - -1 - 3. Let y be u(m). What is the first derivative of 12*q**4 - y*q**2 + 22*q**2 + 21 - 4 wrt q?\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2281 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698, -12117, -23526, -34919, -46290, -57633, -68942, -80211?\nAnswer: -91434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 2\/27, 0.067, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-2)\/4)\/(11025\/19600) + -2. Find c such that 12\/5*c + 16\/15 - p*c**2 = 0.\nAnswer: -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 22*h**2 - 441 - 7*h + 207 - h + 5*h in the form x*h**2 + c + u*h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16137 + -15537. Calculate the greatest common divisor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.466 - 5.916. Which is the second smallest value? (a) 0 (b) y (c) -2 (d) -6 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 0*z**3 + 2*z**3)*(-145 + 64 + 81 + 3310*z**2).\nAnswer: -6620*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 = k - 5*k, 0 = 3*k + i - 12. Suppose u + 33 - 8 = k*y, -y = u - 5. Solve -s + 3*s + 4*h = -y, 0 = s - 4*h - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/7 + 5478*s\/7 + 56880 = 0. What is s?\nAnswer: -70, 1896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/12 - 38*b**2. Let h(g) be the first derivative of g**3 + 4*g - 9. What is q(h(k))?\nAnswer: -6*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 268\/13901 (b) -1\/4 (c) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3414 divide 160795855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205218163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.2. Let u = -0.245 - -14.345. Let d = -14 + u. Which is the nearest to -1? (a) 5 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + u**2 + u**2 - 651*u**4 - 3 + 2*u**4 to d + y*u + z*u**2 + i*u**4 + m*u**3 and give i.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.96 - -5.5. Let r = 0.46 + u. Which is the third smallest value? (a) r (b) -4\/7 (c) -3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.9 - -3.6. Let r = 2.1 + 1. Let x = i - r. What is x rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807.277m in kilometers?\nAnswer: 2.807277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*g**5 + 258*g**3 + 4*g**2 + 130975*g wrt g?\nAnswer: 500*g**3 + 1548*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5411, 43211, 145793, 345545, 674855, 1166111, 1851701, 2764013?\nAnswer: 3935435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - (6 + -10)) + -11 - (-100 - -118).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71429133*x**3 + 7*x**2 - 49*x - 1025 wrt x.\nAnswer: -428574798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 h, and 1 p when four letters picked without replacement from wggpndhgppwwggpphwwd?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*w**2 + 73 + 6*w**3 - 42*w**2 - 186 - 48*w**2 as f + d*w**3 + h*w + b*w**2 and give f.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 346941379*q + 258236390 wrt q.\nAnswer: 346941379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 469*t**2 - t + 1. Is v(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41218*s = 41254*s + 756 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.888 + -69. Let u = -0.1119764 - d. Round u to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16*b + 15. Give r(8).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.486 + 47.54. Let z = 15 + h. Let y = z - 0.05482. What is y rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 212 = -2*g, 36 + 17 = k - 4*g. Solve 12 = -59*i + k*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1800 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 - -2.10761\nAnswer: -0.59239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from cccccxccxcxcxccxcc.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21830 and 258125.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 5*s. Let m = 0 - 4. Let t(r) = 7*r**2 - 2*r + 5. Let i(n) = 4*n**2 - n + 3. Let k(q) = -5*i(q) + 3*t(q). What is m*k(j) + o(j)?\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6*b - 728 = 0. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200 - -1404\/7. Let t = 1.3419 - 1.2419. What is the fourth smallest value in t, -0.9, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1273, -2510, -3747?\nAnswer: -4984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-8))\/((-39566)\/4336)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*c + 29, 107*q - 109*q = -5*c - 7 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 6*m + 2. Let n(a) = -24*a**2 + 25*a - 13. What is -n(i) - 4*s(i)?\nAnswer: 16*i**2 - i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4616 - 4613.369. Round p to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 25454 - 131. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11414, -11418, -11422, -11426, -11430?\n\"Answer: -4*m - 11410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003129840979 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 3:53 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let u = -67986.07 - -68343. Let a = 357 - u. Put -2\/7, 0.2, a, m in descending order.\nAnswer: 0.2, a, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 + 19712 = 60*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 74*j**2 + 20 - 79*j**2 - 5*j - 2*j**3 + 4*j + j**3. Calculate the remainder when z(-7) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 + 198b?\nAnswer: 18b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 21*m. Let j be o(1). What is the greatest common divisor of 15 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*t**2 + 36*t**2 + 11*t**4 + 22*t**2 wrt t.\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/7 - 3138*y**2\/7 - 41580*y = 0. Calculate y.\nAnswer: -1470, -99, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*(i\/i**(12\/7))\/i*i*i)*i*(i\/i**(1\/2))\/i*i**(12\/13)\/i**(-2\/17) assuming i is positive.\nAnswer: i**(789\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2769251\/251 >= -11033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3.1, -1\/3, -187, 4, -2\/15 in increasing order.\nAnswer: -187, -1\/3, -2\/15, 3\/2, 3.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 570530924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201203279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 1322.6244?\nAnswer: 1322.6244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -20*c**2 - 16*c - 1. Let j(n) = -8*n**2 - n - 9. Let g(u) = 17*u**2 + u + 21. Let i(y) = -3*g(y) - 7*j(y). Calculate -9*i(l) - 2*w(l).\nAnswer: -5*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965069 is divided by 381.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001580766 to 5 dps.\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:49 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 2\/19, 2, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1219 = 3*b - 334, -2*d - 5*b = -597. What is the remainder when d is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 1348 + 466. Suppose -i = b - 0 - 69, y = 4*i - 5*b. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*b - 240 = 82*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from avvjarrrj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*j - 2*q, -61 = -3*j + 4*q - 2*q. What is the remainder when j is divided by -1 + (6 - (1 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350)*-1 - sqrt(350))\/sqrt(10) + (sqrt(70)\/sqrt(2) + sqrt(35))*-1)\/(((sqrt(847)*2 - sqrt(7)) + sqrt(7) + (-2*sqrt(28))\/sqrt(4))*1))**2 + -2.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154335875*q + 196056754 wrt q?\nAnswer: -154335875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4675*f**3 - 8*f**2 + 2*f + 8. Let c(q) = 1558*q**3 - 3*q**2 + q + 3. Give -8*c(l) + 3*h(l).\nAnswer: 1561*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32164, -32871, -33588, -34321, -35076, -35859, -36676, -37533?\n\"Answer: -b**3 + b**2 - 703*b - 31461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 19*t**2 + 896*t**3 - 889*t**3.\nAnswer: 7*t**3 - 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -939, -170, 1113, 2910, 5221, 8046, 11385?\n\"Answer: 257*f**2 - 2*f - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 590206852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*a - 2, 5*a + 2 - 4 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -27*b + 45*b. What is the remainder when 20 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 569866258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x\/(x\/x**0)))\/x)\/x*x*x)\/x)**(-48))**44\/((x**(-5)*x)\/(x*(x*x**(-2\/3))\/x))**(-21) assuming x is positive.\nAnswer: x**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, l: 1, b: 1, h: 2, i: 1}. What is prob of sequence ibe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 2, g: 2}. Give prob of picking 1 n, 1 k, and 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:29 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 2, c: 1, i: 1, p: 1, o: 2}. What is prob of sequence ipy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 658 - 659. Which is the third smallest value? (a) 1 (b) -1072 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 290612.\nAnswer: 5812.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12779021 is divided by 1515.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*k - 4, -c = -3*k - 21. Suppose -5*d - 21 = -2*a, -5*a = d - c - 3. Let y be -1*((-8)\/(-4) + d). Solve 0 = f + y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-117)\/2)*-1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104693.766 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02030983 rounded to four dps?\nAnswer: -0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3\/5 + 56*m**2\/5 - 4*m\/5 - 56\/5 = 0 for m.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2292123 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -5 - -49 - 67?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1253)\/(-14) + (-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.01, -1\/6, -6646?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13*h**2 - 547*h + 58. Give x(-43).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - 1 - (6 - 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 52\/48 - (-15)\/(-20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 11:48 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 20 = -4*a - 16*f, 4*a = -9*f - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956 = 2*k + 24. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 89 = 89. Let s = 0.14 + 0.26. Suppose 0*k = -2*k - 6. Which is the nearest to -0.2? (a) s (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*t + 19, p - 8 = 2*p - 3*t. Suppose 3*k = 2*k. Let q be (k\/(-1))\/(4\/4). What is the nearest to p in q, -0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 8*v**2 - 9*v + 2. What is y(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -364, -1444, -3244, -5764, -9004, -12964, -17644?\n\"Answer: -360*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) + (-4)\/2. Let w be 15 + (2 - (n - -3)). Suppose 5*k = 4*v - 32, 3*v - 12*k + 9*k = 21. Solve -20 = -c - 5*i + 6, v*i = -c + w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2. Let h(c) = 7*c**2 - 3*c + 6. What is h(d(s))?\nAnswer: 28*s**4 - 6*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 + 6*a**2 - 6*a**2)*(3 + 1 - 7 + (-4 + 5 - 3)*(1 + 0 + 0) + 1 + 3 - 6).\nAnswer: -35*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -38. Let i(v) = v**3 - 7*v**2 + 8*v + 3. Let r be i(6). Let c be ((-1)\/15)\/(6\/r). What is the nearest to -1 in -0.1, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 33. What is the units digit of y(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -1.5?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a367 + -7ba?\nAnswer: -ab54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 + 435*t**2\/4 - 3774*t - 12321.\nAnswer: -3*(t - 74)**2*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/((w\/w**(-1))\/w))\/w))**(1\/26)\/(w**(-2))**(-3\/7))**1 assuming w is positive.\nAnswer: w**(-71\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 - -11230 - 3*(2 + -2 - -1).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/5)*f)**(3\/2))**(2\/3)*(f\/((f\/f**(-1)*f)\/f))**30\/((f**2*f)\/(f*f\/(f*((f*f\/f**1)\/f)\/f)*f*f*f*f*f)) assuming f is positive.\nAnswer: f**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-178*u + 58*u - 1983*u)*(3*u - 2*u + 5*u) to v*u**2 + h + x*u and give v.\nAnswer: -12618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 7, 2, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/9 + 141386*u**4\/3 + 6786866*u**3\/9 + 12301390*u**2\/3 + 8483776*u + 5090280 = 0.\nAnswer: -6, -3, -1, 212095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2785146 times 8\nAnswer: -22281168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*r**2 - 76*r**2 + 32*r**2 + (r + 3*r - 3*r)*(r + r - r) - 2*r + 2*r - 22*r**2.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 1559300 rounded to the nearest ten thousand?\nAnswer: 1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 10*h + 20231*a - 20226*a, -5*a - 19 = 4*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67042 and -376.\nAnswer: -67418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(192) - sqrt(192)) + sqrt(192) + -1 + -4 + 5*-4*sqrt(192) + 4)**2.\nAnswer: -304*sqrt(3) + 69313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-18)\/6)*-1. Let i(y) = 9*y + 29. Calculate the remainder when 3031\/28 + 6\/8 is divided by i(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-9)*10125\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115911*k**2*y + 18*k*y + k + y + 13 wrt k?\nAnswer: -231822*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 137.326, -8?\nAnswer: 137.326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140419085 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-323 - -325) + (1 - 6) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 0.5, -0.6, -130?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913310?\nAnswer: 2, 5, 91331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 599*x - 5307. What is the hundreds digit of v(69)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 2\/533 (c) -1\/5 (d) 3 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -58*m - 30*m + 56*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 - 155. Suppose 0 = -p*y - 11*y + 11552. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2196 and 17\/1196754.\nAnswer: 438011964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y + 15*y + 13*y)*(y - 4*y + 5*y).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*a + 1821533 = 1841065 for a.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*r + 3*f + 1063 = -143*r, 0 = -r - 3*f + 191. Calculate the remainder when 429 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 1541?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/10 - -13\/70. Suppose -4399*l - 5*q = -4401*l + 54, 2*q = -24. Which is the closest to r? (a) l (b) 3\/5 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**3 + 78*o**2 + 3*o + 15. Give s(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27348436, -27348443, -27348454, -27348469, -27348488, -27348511, -27348538?\n\"Answer: -2*m**2 - m - 27348433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 691 - 223*x + 665*x - 227*x - 218*x. Let j(c) = c. What is j(g(o))?\nAnswer: -3*o + 691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-6)\/14 + (-30)\/(-21)). Let t(o) = o**2 - 10*o + 14. Let l be t(x). Calculate the greatest common factor of l and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9, a: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -22. Let u be (c\/16)\/((-5)\/100). Suppose 2*w + 2*h = 12, -u*w + 2*h + 4 = -3*w. Solve w*b = 3*t + 7, 4*b - t = t + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 - 9*r**2 - 5*r - 2. Suppose -12*o - 9 = -15*o. Let x(f) = -4*f**3 - 5*f**2 - 3*f - 1. Determine o*n(b) - 5*x(b).\nAnswer: -b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -101?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50b6 + 810?\nAnswer: -44a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/(i*i\/i**(-6)*i))\/(i**(-2\/15)\/(i\/((i\/i**6)\/i))) assuming i is positive.\nAnswer: i**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164727 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 - h**4 - 3*h**4 + (-2*h**3 - 2*h**3 + 2*h**3)*(-6*h + 2*h + 5*h).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1140 in -0.1, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.126.\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2272 times -0.067\nAnswer: -152.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14 (b) 5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/44 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 869511847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/15438 and 127\/910?\nAnswer: 7024290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 53 + (-2 - 1). Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Does 8 divide 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 305581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799, -3198, -7199, -12808, -20031, -28874, -39343, -51444?\nAnswer: -65183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 21. What is the greatest common factor of g and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -299*t*x**2 + 17*t*x - 1368*t + 225*x + 84363 wrt x.\nAnswer: -598*t*x + 17*t + 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a week in minutes?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.69832 nanograms in micrograms?\nAnswer: 0.05869832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oee when three letters picked without replacement from ezozezozzooooqeoeeq.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119.6 + -119.9. Let o = -0.3 - -0.1. What is the third biggest value in 1\/11, 2, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10321 = -5*r, 5*o - 40549 = -3*r + 10944. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t)\/t)**(-1\/8)\/(t*t**1*t)**14)\/((t\/t**3)\/(t*t**1)*(t**2\/t)**(2\/71)) assuming t is positive.\nAnswer: t**(-21529\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20934 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 56*j - 38. Let d be r(56). Sort d, 5, -2 in ascending order.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 6*r + 37 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 47 = 2, -42 = 29*o - 12*o + 16*u for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31260 (base 9) to base 8\nAnswer: 50224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 650 + -237654\nAnswer: -237004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*o = 2*n + 2, 4*n - 2*o = 8. Suppose 3*b = -n*p - 15, b + 2*b - 57 = 4*p. What are the prime factors of 2 - (-3 - p)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 13*o - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 1373*h + 16630. Calculate i(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**4 - 2*q**4 + 4*q**4)*(-2 + 3 - 2)*(-3 + 12 + 7) to s*q**4 + w + f*q + y*q**3 + o*q**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-99) + (-12)\/(-66)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5383 and -0.08.\nAnswer: -430.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/7, 0.1, 14320, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/3 (c) 0.3 (d) -8 (e) -61.8 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.213*2.\nAnswer: 6.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-3)\/6*(-11)\/((-264)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4 - 7904*r**3 - 78952*r**2 - 94656*r + 568368 = 0.\nAnswer: -7894, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -202060000 to the nearest one million.\nAnswer: -202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/2 - 122259*s**2 + 4983398955*s\/2 - 19925772012 = 0. What is s?\nAnswer: 8, 40749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2385*x + 2. Let j(r) = -9*r + 7. Give o(j(h)).\nAnswer: -21465*h + 16697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 20 + 54 - 22 + 38*i**2.\nAnswer: 38*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7*w**3 - 8*w**3 + 4 - w + 206*w**2.\nAnswer: -15*w**3 + 206*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-10886)\/(-32)*6. Let u = f - 2049. Find the common denominator of u and 47\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 59 = 41. What is the remainder when 75 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-17 + 14) - (6 + -2 + -2 + -63).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-18)\/1))\/((-13)\/(832\/48))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t - 38. Give v(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*k + 48, 50*y - 98*y = -50*y + 395*k - 404*k + 36 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 695*p - 694*p. Calculate the remainder when p is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 3. Let p(h) = -23*h - 15. Let n(o) = 5*i(o) + p(o). Let j(k) = 30*k. Determine n(j(z)).\nAnswer: -390*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*s - 377*s = -193*s + 440 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 12. Solve 2*p - 9 + z = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = 4*j + 32 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 7*j + 5 - 4 + 2 + 2. Let x be 1\/(-2) - (-14)\/(-4). What is the remainder when 73 is divided by g(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Suppose 0 = -4*i + 3*v + v + 16, 0 = -5*i + v + 16. Let j(d) = 2*d + i*d - 3*d - 3*d. Give j(f(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5513 times 195\nAnswer: -1075035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373 - 287 - 101 - (-86 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 5. Let v be q(5). Suppose v = -0*z + 2*z. Let x be (-6)\/z - (-56)\/10. Solve 2*u = -x*r + 12, 0 = 4*u + 4*r - 5 - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810128599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 10*v + 4518. Let s = -445 + v. List the prime factors of s.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 + 6. Let x be u(0). Let g(a) = -49*a + 36*a**2 + 3 + 43*a - 35*a**2. Determine g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/4 + r**3\/3 - 1816. Let h(z) = 2*z**3 - 5*z**2 - 4*z + 2. Calculate h(c) + 5*x(c).\nAnswer: -3*c**3 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/108)\/(2\/(-3))*(-975)\/(-25)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l. Let p(k) = -7828 - 85*k + 557*k + 7823. Calculate d(p(y)).\nAnswer: -1416*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 - 15*n**4 + 74*n**3 - 164*n**2 + 168*n - 64 = 0. Calculate n.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767030087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1107*c + 3587. Determine i(4).\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiaagiggiiiiaggaa. Give prob of picking 2 g.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 84172661?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-11))\/(136\/(-374))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 1111111000000001?\nAnswer: 1111110111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*h + 2*p, -p = 3*p - 4. Let j be 1\/(-4) - (-9)\/4. Solve -h*m = 22 - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 2 - 15)\/((-3)\/3). Suppose 0 = p*j + 11*j - 2352. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3420 + 3413. Which is the nearest to -2? (a) -0.5 (b) 6\/19 (c) v (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194 = -230*d - 3326 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*p*z**2 - 2*p*z + 6*p + 3*z wrt z?\nAnswer: -630*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -54 + -68 + -52.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4881 times -75\nAnswer: 366075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1127 - -0.1127. Put -9, s, 1.1 in decreasing order.\nAnswer: 1.1, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -9 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsuduhjuhdjhujhj. What is prob of sequence uj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360 - -361 - (0 + 1)) + (0 - 1) - 20.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdd. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.32 (b) 114 (c) -1 (d) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*w + 8 = 1, 0 = -5*h + w - 7. Put h, 3, 2 in descending order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4022159436?\nAnswer: 2, 3, 137, 271841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4211584?\nAnswer: 2, 13, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3197 = -4*g, 0 = -6*g + 5*g - i - 808. Let b = 1548 + g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -39*o**4 + 24*o**3 + 19*o**2 + 4*o - 4. Let b(s) = 235*s**4 - 145*s**3 - 115*s**2 - 25*s + 25. Let t(l) = 4*b(l) + 25*j(l). Solve t(f) = 0 for f.\nAnswer: -3\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*d**3 + 125*d**3 - 1 + 2*d**4 - 1 - 4*d**4 to the form m*d**4 + p + s*d**2 + n*d**3 + r*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46353 - 140153 = -8186*g + 9526*g for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1580 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpropjy. What is prob of picking 1 o, 1 r, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m**5 + 3952*m**4 - 195100*m**3 + 1249880*m**2 - 2250176*m + 440448 = 0. What is m?\nAnswer: -148, 2\/9, 3, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295103 + 295103 - 6*s**2 + 0*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 657.74 + -669. Round a to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(19) + 2 + sqrt(19))**2 + (sqrt(19) - -4*sqrt(38)\/sqrt(2)).\nAnswer: -7*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 125 = 98. Let w(t) = 9*t + 1. Let b(h) = -9*h - 2. Give i*w(z) + 2*b(z).\nAnswer: 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 39 + 9 = 0. Suppose s*p = -3 - 1. Let g(f) = f - 1. Let m(r) = -8*r + 5. What is p*m(v) - 3*g(v)?\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 9. Let z = v - 2. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79310 = -542*q - 551*q - 349*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 80\/440 - 56\/550\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o + 1. Let j be i(-1). Suppose 0 = -3*v + j*v. Let a(z) = -z**2 - 5. Give a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a gram in milligrams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/1033 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/10500*7*-1230. Is y less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-12))\/((-2)\/3). Let k be (-355)\/426*(-2 + (-21)\/(-15)). Put k, 2, 1, c in decreasing order.\nAnswer: 2, 1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-47)\/(-9) - 4\/18. Let m(l) = l - 3. Let h be m(a). Solve -5*o - h = -7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x**2 + 0)*(4 + 15 - 1839*x - 32 + 10).\nAnswer: -3678*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -313, -306, -297, -286?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 28 + 7*q**2 to k*q**2 + j + i*q and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h + 5*v + 28, -h + 3*v = -18. Let m(f) = 6*f**2 + 6*f**2 + 109*f - 105*f. Is m(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 200, 464, 908, 1586, 2552, 3860?\nAnswer: 5564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/60 + q**4\/24 + 10*q**3 + 5*q**2. Let b be k(0). Suppose 4*h = h + b. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - 1) - (2 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t**3 + 27*t**3 + 31*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)*c**(-4)*c*(c**(2\/3))**(-2\/11)*c\/(c*c**(3\/2))*c**(1\/5)*c**(-3)*c**(3\/2)*c assuming c is positive.\nAnswer: c**(-2132\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152145)\/6615 + 210\/4?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 768 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 453440*t + 4080956. Calculate j(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k - 11. Let b(s) = 9*s - 9. Let a(w) = 6*b(w) - 5*n(w). Let p(v) = v**2 - 6*v + 8. Determine 6*a(g) - p(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llhlltlmllhh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.43 + 0.33. Let r = 0.9 - z. Sort -5, r, -1 in descending order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 5*w**2 - 10*w + 9. What are the prime factors of n(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:57 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**6\/s)\/s*s**(-6))\/((s**(-3)\/s)\/(s\/(s*s\/(s**7\/s*s))*s)))\/((s**(-1\/4))**(2\/37))**(-35\/2) assuming s is positive.\nAnswer: s**(1297\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48536363*k**3 + 50*k**2 + 332*k - 658.\nAnswer: -291218178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87433, 87560, 87687, 87814?\n\"Answer: 127*r + 87306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -715565*p + 3076503.\nAnswer: -715565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 - 3*z + 6. Let l(h) = -20*h - 23*h - 7 - 5*h**2 + 68*h - 22*h. What is 2*l(p) + 3*m(p)?\nAnswer: 2*p**2 - 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g - 12. What is the units digit of (-2)\/g*(-40)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -6\/7 (c) 0.07 (d) -1\/6 (e) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9929 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12782 is divided by 4068.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w + 20. Let d(g) = -g + 5. Let z be d(-7). Let v be h(z). Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13*r + 576 = 0. What is the common denominator of 115\/r*4\/(-10) and 91\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -19, 8, -20 in ascending order.\nAnswer: -20, -19, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 177\/(-1) + 3 + -6. Let u = -114 - h. Let x = 29 + 15. What is the greatest common divisor of x and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139\/(-5838)*224*57\/(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 2*u**3 - 5*u**3 + (-2*u + 0*u + 6*u)*(u**2 + 4*u - 4*u) to x*u**3 + w*u**2 + t*u + p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d - 5*d)*(-1 + 3 + 0)*(0*d + 3*d - d + (-3 + 1 + 3)*(4*d + d - 3*d) + 2*d - 2*d - 3*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1 - (-7 - -7). Suppose -2*u - 3*k = -12, -3*u - 18 = -6*u - r*k. Suppose -2*i - 2*m + 8 = -u*m, 0 = -3*i + m + 7. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20085*y + 87358*y + 287653*y.\nAnswer: 354926*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = i + 423, 674 + 379 = -5*v - i. Let y = -127 - v. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -5 - -1) + -10 - -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/195052 and 64\/8151.\nAnswer: 11117964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4 - 6*u**3 + 10*u**2 + 6*u - 8 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a839cc (base 15) to base 16\nAnswer: 7a3d54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164366835 and 12890.\nAnswer: 6445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -35693*r**2 - r. Let y(z) = -3*z**2. What is n(y(d))?\nAnswer: -321237*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2485, 2, 8.\nAnswer: 2, 8, 2485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 64.9. Let c = h - -1.06. What is the third smallest value in 2, c, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364059 not equal to 363974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 222011 (base 3) to base 16\nAnswer: 2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1175*h - 38785. Give t(33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*y + 0 - 11*y**2 - 5\/3*y**3.\nAnswer: -y*(y + 7)*(5*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(128)*-2 + sqrt(128))*2 - (-6*(sqrt(128) + (sqrt(128) - -1*sqrt(128)) + sqrt(128))**2 + sqrt(128))) + -4)*-1.\nAnswer: -73704 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18122795 is divided by 422.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/1080)\/(10\/27*3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17263675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 55*i**2 + 250*i - 105. Let k be b(51). Let n be 1\/(-3)*(-40378)\/(-6). Let u = k + n. Find the common denominator of 103\/12 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 6, 5 in decreasing order.\nAnswer: 6, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*b + 203 + 277. Let o(q) = 2*q**2 + 21*q + 109. List the prime factors of o(b).\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18. Let x be 6 + -1 - (n + 2). Let k(y) = 88 - 88 + x*y. Calculate k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 26*q - 318*y + 321*y, -2*q + 77 = -q - 3*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*9\/(-81)*6\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 6*a + 2*a)*(2*a + 1 - 1) + (0 + a + 0)*(a - 7*a + 3*a) + 544 - 190*a**2 - 544 as u + z*a**2 + d*a and give z.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981619 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 2*r - 5. What is the units digit of o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1575 or 1572?\nAnswer: 1575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 - 7*h - 20. Let d(r) = -r**3 + r**2 - r + 7. Let a be d(2). Let q(u) = -2. Let x(i) = a*p(i) - 6*q(i). What is x(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(5))**2 + -5)*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i - 31. Let p(s) = 8*s + 31. Let n(k) = 5*p(k) + 4*q(k). Let l be n(7). What is the highest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-76)*8398\/2652.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95909 + 564*l**2 - 600*l**2 + 95909.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1187251439660.\nAnswer: -1187251439655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/4)\/((-1)\/(-16)). Suppose 4*y - 28 = x + 31, 2*y + 4*x = 34. Calculate the greatest common factor of y and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 45*a**2 - 96*a + 221. Determine x(47).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (-75 - 74) - 27\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*36\/(-27)*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.156, 1.2, 5, -296?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 113072 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 280463 = -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4)\/b)\/b*b)**29)**45 assuming b is positive.\nAnswer: b**(-6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -2932, 0, -3, 4, -8 in increasing order.\nAnswer: -2932, -8, -5, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-12))\/(10\/2184). Let t = -323 + n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*t + 484941 + 473989 + 2623235. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604775 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-21) + (-171)\/(-315))*215. Solve 32*q - 162 = p*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77.36 and -0.5.\nAnswer: 38.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644121653.\nAnswer: 23, 114961811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801983 is divided by 4996?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 751.5 - 752. Which is the biggest value? (a) 5 (b) l (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:56 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-78 + 1372\/16).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -23*q + 26*q + 24135, -5*i - 5*q = -60350. List the prime factors of i.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-6 + 12)) + 8 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvqm when four letters picked without replacement from {v: 6, m: 1, q: 2, p: 3, r: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10063240, -20126480, -30189720, -40252960?\n\"Answer: -10063240*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 481 + -504. Let s = 26 - 1. Let w = u + s. Solve 3*q = w*l - 15, 4*l + 5*q = -0*q - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 40239140*s - 80478272.\nAnswer: -2*(s + 2)*(s + 20119568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35861 - 35861.1. Which is the closest to u? (a) -0.1 (b) 5 (c) 30 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j*j\/(j*j*j**1))))\/j**2)\/(j**(-1)\/j)**48)**(-22) assuming j is positive.\nAnswer: j**(-2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) - 6744\/1260. Let r = i - -44\/7. Suppose 2\/3*o**4 + r*o**2 + 0*o + 0 + 2*o**3 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1070, -491, 1010, 3871, 8530, 15425, 24994, 37675?\n\"Answer: 73*i**3 + 23*i**2 - i - 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 192.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 0*j + 3 - 2*j**2 - 5 + 1 + j**3. Let c be k(3). Suppose -4*g = 0, -6 = 2*m + c*g - 4*g. Sort 5, m, 3.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25128*m**3 + 25147*m**3 - 50270*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5869519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 15*l**2 - 13*l - 12. Let u be i(14). Suppose -34 = -d + 5*h, 6*d = u*d - h + 31. Calculate the lowest common multiple of 15 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3930 - 3934 + 106*q + 7864 - 212*q + 105*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4743 divided by -17?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/423 (c) -5 (d) 20 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 368, -1, -5, -158, 1 in increasing order.\nAnswer: -158, -5, -2, -1, 1, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 0*b + 0*b. Let u(l) be the second derivative of l**4\/12 - 15*l. Calculate k(u(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 o, and 1 m when three letters picked without replacement from {c: 4, m: 2, s: 1, x: 1, o: 7, t: 2}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1940 and 1767340?\nAnswer: 1767340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4805269332 minus -1?\nAnswer: 0.5194730668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 237652*u**3 - 237650*u**3 + 475300*u**3 + 3*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -492, -1111, -1978, -3093, -4456?\nAnswer: -6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 814924 to the power of 1\/2, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 minutes before 12:21 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express 298 - 130*k**2 - 149 - 152 in the form q + l*k**2 + f*k and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 4 - 8*f**2 + 2*f - 8. Let i(a) = 7*a**2 - 3*a + 3. Calculate -3*g(x) - 4*i(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -15, -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 49030053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 + 12 = 2*q. Calculate the remainder when q is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 + 24 = 0. Let q(m) = m**2 - 7*m + 9. Let v be q(2). Which is the closest to 0? (a) v (b) -0.01 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:40 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2f (base 16) to base 8\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4018.644 to the nearest ten.\nAnswer: -4020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -140*y + 6722. Let m be x(48). Factor 0 - 20\/9*h**3 + 2\/3*h**4 - 8\/9*h + 22\/9*h**m.\nAnswer: 2*h*(h - 1)**2*(3*h - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-21)*-6 - 3\/7. Suppose -5*d + 5*f = -2936 + 886, g*f = 4*d - 1640. Calculate the common denominator of 1\/4 + d\/(-24) + -1 and -11\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4393684*b*q**3 - 347051*b*q**2 + q**2 - 2 wrt q.\nAnswer: -26362104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 192 = 3*t - 5*g, 3*g = -5*t + 388. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40938170 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275946286 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 811\/2550 + 13\/850. Determine b so that -1\/3*b**2 + 0 + 1\/3*b**4 + 0*b - 1\/3*b**5 + f*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.099, 5, -3350, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 331 - 324. Suppose -5*y + 2*i = -8, 0*y + 20 = -4*y - 5*i. Suppose s*x - 158 - 31 = y. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/20 + n**4\/3 + n**3 - 3*n**2\/2 + 2*n. Let q be i(5). Find the second derivative of 42*c - 76*c - 8*c**q + 38*c wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3488 + 433114\nAnswer: 429626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 3. Let d(p) = -p**2 + 5*p - 1. Let l be d(6). What are the prime factors of j(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 44 = 5*d, 8 = 2*x - d. Let s(m) = m**2 - 3*m - 15. Let w be s(x). Suppose -5*q + 2*c + 3059 = 812, -1350 = -w*q + 3*c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/115888 and 53\/16492311.\nAnswer: 263876976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10011000011010000101000 (base 2) to base 14\nAnswer: 940008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 233 = -1121. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95788, -382820, -861206, -1530946, -2392040?\n\"Answer: -95677*i**2 - i - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from mzizmimiziiiim?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0. Let k = 145 + -141.08. Let y = 0.08 + k. What is the nearest to 1 in 3, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2) - -3)\/((-3)\/8). Let d be (-86)\/(-10) - (-2)\/5. Let x = d - c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/55 - (-1444)\/(-20). Let g = 575 + z. What are the prime factors of g?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402960 and 803160.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 940088 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: Let p(s) = 9*s**2 - 9*s - 2. Let c be p(8). Let a = 4027\/8 - c. What is the common denominator of -85\/2 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1484*h**2 - 6091*h**2 + 1476*h**2 + 153 + 1651*h**2 + 1479*h**2.\nAnswer: -h**2 + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/7 of a week in days?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from ppmmmmmjsmmsmmsmjms?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (1 - 2) + 38 + 12 + -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 1, p: 1, v: 1, k: 1, u: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*p - 6 - 0, -4*y - 2*p = -10. Let a be (-5)\/((-20)\/6)*y. Differentiate a - 3 - 3 + 3*r**3 wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (176\/66)\/(4\/6). Factor -m*v**4 + 41*v**2 - 107*v**2 - 72 - 212*v - 36*v**3 + 56*v - 50*v**2.\nAnswer: -4*(v + 1)*(v + 2)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + -2 + 13. Let i = -5 + z. Solve r - 5*j = -1 - 4, i*r + 5 = 5*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 33*l + 33. Let m(t) = -t + 1. Let p be m(-4). Solve 5*w - s - 2 = l, -p*w + 5*s - 5 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**2 + 6*c - 31. Let k(t) = -23*t**2 - 13*t + 65. Calculate -6*k(v) - 13*x(v).\nAnswer: -5*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21222*a - 20961*a - 10172 + 24788 = 0 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from oiypgoo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.8 (b) 2\/7 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -102112 (base 3) to base 4\nAnswer: -10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 9*u - 37. Let o be v(-7). Let i(f) = -2*f**3 - 3*f**2 - 2*f. Determine i(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84057 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 - 56 = 2*n. Let t be n\/1170 - (-50)\/325. Let k = t + -59\/315. Which is smaller: 7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0122961 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1453 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9909 divided by 1.\nAnswer: -9909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.96 + -0.57. Let h = 135.61 + -130. Let g = b + h. Is g > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-6))\/(7\/(-126)) - -1. Let r = n - -97. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) - (-32)\/(-6). Let x be -2*(l\/26)\/(-3). What is the nearest to 1 in x, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710 = 117*d + 513 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*p = 7*p + 499, 3*j = 4*p - 351. Let w = j + 121. Solve -8*u - 19 - 21 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3603517, -7207055, -10810599, -14414149, -18017705, -21621267, -25224835?\n\"Answer: -3*k**2 - 3603529*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87562 (base 11) to base 2.\nAnswer: 11111000010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7.9. Let c(b) = -4*b**2 - 12*b - 5. Let q be c(-7). Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55, -32, 37, 176, 409?\n\"Answer: 4*n**3 - n**2 - 2*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40403369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 131465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, n: 1, b: 6}. What is prob of picking 3 e?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 2*h - 2, -1220*b + 2439*b = 1220*b + 3*h - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17970 = -11*m + 9*m + 3*t, m - 4*t + 8985 = 0. What is the tens digit of m\/27*-3 - (-12)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.84000897 and -408053?\nAnswer: 408053.84000897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2165712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + 37. Let k be (-6)\/(-8) - (-13)\/4. Suppose 2*r + 7 = -k*u + 45, -3*u - r = -28. What is the highest common factor of u and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -900514429 divided by -3?\nAnswer: 900514429\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 19 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5144 and 86440?\nAnswer: 55580920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/7 + 6714*j**2 - 276078000*j\/7 - 276125000\/7 = 0.\nAnswer: -1, 11750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5264 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 48*b - 16. What is the remainder when i(3) is divided by ((104\/3)\/8)\/((-6)\/(-36))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401832 is divided by 2902?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 + 24*l**4 - 540*l**3 + 1600*l**2.\nAnswer: 4*l**2*(l - 5)**2*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 31*j - 11*j + 306 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -11.238?\nAnswer: 12.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*x - 15150 = 0, -3*x - 11375 = -3*u + x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 147, 332, 591, 924?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1900 divided by -1900\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -332*r**2 - 8 - 3*r**3 + 335*r**2 + 3*r + 0*r. Let s(u) = -2*u**3 + 2*u**2 + 2*u - 5. Calculate 5*m(a) - 8*s(a).\nAnswer: a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 - 22*i**2 - 8*i + 1. Let p be h(7). Suppose 6*a - p = 511. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 316 = 4474. Let n = 700 - v. Solve 0 = -5*c - n - 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*n**2 - 52*n + 52*n)*(-n**2 + 2*n**2 - 2*n**2) + 3 + n**4 - 3 to r + z*n**2 + l*n**4 + h*n**3 + j*n and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4, -9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 10730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1295 by 101855.\nAnswer: 259\/20371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-723)\/(-12) + (-2)\/8. Suppose 0 = 2*r + 24 - f. Let x = 39 - r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o - 130. Let l be q(-7). What is the derivative of -l - 97*y**2 - 20*y**2 + 21 + 13 wrt y?\nAnswer: -234*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.79695 - 5.8. Round j to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (sqrt(66) - (-2*sqrt(66) + sqrt(66))) - sqrt(66))*5)\/sqrt(6) + (sqrt(121)\/(sqrt(11) - sqrt(11)*2) - sqrt(66)\/(sqrt(6)*2)))**2.\nAnswer: 5819\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/10 and -47\/19136.\nAnswer: 95680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5024, -4748, -4472, -4196, -3920?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(75)*-1 + sqrt(75))\/sqrt(5))\/(2*sqrt(15)\/sqrt(3)*-5).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1 + 1\/15*p**5 + 1\/2*p**2 + 0*p + 0*p**3 - 1\/24*p**4. Let s(t) be the second derivative of h(t). Give s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 - 10894*q**3\/3 + 43588*q**2\/3 - 43592*q\/3.\nAnswer: -q*(q - 2)**2*(q + 10898)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2041 + 2037. Which is the nearest to 3? (a) g (b) 18 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2 + 3*m - 3*m**2 + 0*m - 4*m - 5. Let q(t) = -t**2 - t. Let d(c) = o(c) - 4*q(c). Is 5 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 242*t**2 + 25*t + 3. Let b be n(-21). Round b to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 12*k)*(2 - 1 - 3)*(k - 4*k + 2*k).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 1:35 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 + -278. Let o be 71 + (2 - 2) + 0. Suppose -4*l = -5*n + o, -2*n - 1 = 5*l - 3. Solve -4*y - b - n = 0, 0*y + 3*y = z*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7979545 (b) -0.2 (c) 1\/6 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3\/10 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 276696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 46*t**2 + 2*t + 5. Let i be z(3). Suppose -11*l = -6*l - i. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/sqrt(3)) + sqrt(12)\/sqrt(4)*-2 - ((sqrt(3) - (0 + sqrt(6)\/sqrt(2)))*5)**2)*-2 + 1 + 5.\nAnswer: 2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -1\/42*g**7 + 1 + 42*g**2 - 5\/24*g**6 + 0*g**4 + 0*g + 0*g**5 + 0*g**3. Factor t(y).\nAnswer: -5*y**3*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 3. Let d be x(1). Suppose -d*m = 5*l + 39, -3*m + 2*m - 15 = 3*l. Let h(o) = o**2 + 7*o + 9. Determine h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:39 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -9.01, -5, 4\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6526057*l**6 - 2811651*l**2?\nAnswer: 783126840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -1010?\nAnswer: 5\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 122517191 to the power of 1\/2, to the nearest integer?\nAnswer: 11069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 1225067848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/15)\/(144\/(-64) - 98\/(-40)). Let t(y) = y**2 + 18*y. Let m(u) = -2*u**2 - 27*u. What is j*t(r) - 5*m(r)?\nAnswer: 3*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(40)\/sqrt(4))\/sqrt(2) + ((sqrt(210)\/sqrt(6))\/sqrt(7) - sqrt(5)).\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2, 41, 5, -9 in decreasing order.\nAnswer: 41, 5, 2, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127213 = -323*c - 153376 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + g - g. Let p(v) = 2*v. Let s(u) = -4*u**3 - 2*u**2 - u. Let o be s(-1). What is o*d(w) - 2*p(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= 29\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**3 + 57*k**2 - 11*k - 626. Let u(n) = 4*n**3 + 31*n**2 - 6*n - 313. Determine 6*a(t) - 11*u(t).\nAnswer: 10*t**3 + t**2 - 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**5*r*r)))\/(((r\/r**0)\/r)\/r))\/((((r*r**(-6))\/r)\/r)\/r**(1\/2))*(r**(1\/4)\/((r*r\/r**6*r)\/r))**(-5\/6) assuming r is positive.\nAnswer: r**(287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/9))**(-35)\/(r**16*(r*r*r**(-6\/19))\/r))**(-2\/3) assuming r is positive.\nAnswer: r**(20336\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/(-2156))\/(10\/(-55)) - (-2900)\/1827?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*g = 2*g, b = g. Suppose 0 = -2*j - d + 1 + 11, b = j + 2*d - 9. Suppose -j*o = -1 - 19. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*r**2\/9 - 58995458*r\/9 - 4068652\/9.\nAnswer: -2*(r + 1017163)*(29*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-903)\/(-28) + 7. Which is smaller: l or 395?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278208336 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 3902431?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 + 660*d - 1980. Calculate y(3).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 10*l**3\/3 - l**2 - 6241. Let h(p) = -36*p. Give h(w(c)).\nAnswer: -360*c**2 + 72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 252\/112*4\/6. Sort v, 0.1, 0.5, -87 in ascending order.\nAnswer: -87, 0.1, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90083.\nAnswer: 7, 17, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1100001 (base 2) to base 9\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -21. Let c = 11.8 + f. Let y = -9399 + 9394. What is the third smallest value in y, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18232.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 13*h**3\/6 - 17*h**2\/2 + 7*h. Suppose 3*q + 380 - 422 = 0. What are the prime factors of j(q)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -1.6. Let i(m) = -2*m**2 - 3*m. Let v be i(-2). Let y be -2 + -1 - v - 4. Which is the third smallest value? (a) g (b) y (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -1\/2 (c) -5 (d) 0 (e) 2\/11 (f) 7313 (g) 7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -363*l + 85*l**2 - 30*l**2 - 39*l**2 - 153*l - 24*l**2 as t*l**2 + x + i*l and give i.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(153)*-2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 2*s - 2*s - 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 17 = 4*m - 6, -4*m = -v + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 368 + -359. Let h(k) = -4*k + 36. Let t be h(r). Factor t + 1\/5*c**2 - 2\/5*c + 1\/5*c**3.\nAnswer: c*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424024 is divided by 2451.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/7 (b) -0.2222 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 33. Suppose -619 = -3*o + 4*a - 220, 2*o + u*a = 266. Calculate the highest common factor of o and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 5, c: 8}. What is prob of sequence gg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 3*a - 6. Let y be p(8). Let v = y + -142. Let g = 89 + v. Calculate the greatest common factor of g and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 2112?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 151.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/821 - -2475\/1642. Let m = -0.8 + -3.2. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.1 (c) 49 (d) -62\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474350 to the power of 1\/2, to the nearest integer?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.1 and -6.\nAnswer: 258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 8*j**2. Let w(y) = -y**3 + y**2. Let b(l) = i(l) + 5*w(l). Find the third derivative of b(d) wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 20 = -5*v, 0*v - 4 = 2*v - 2*l. Which is greater: -2\/77 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5\/7 - 14894*h**4\/7 + 1295010*h**3\/7 - 5016154*h**2\/7 + 6206864*h\/7 - 2470824\/7 = 0?\nAnswer: -7533, 1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 201336213601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-16)*2*8. Suppose g = 3*s - k, 2*s + 47 = 5*s + 4*g. Calculate the highest common divisor of s and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/9)*v)\/((v*v**(-1\/7)*v*v*v)\/v)*v\/(v*v\/v**(2\/9))*v\/v**(-6) assuming v is positive.\nAnswer: v**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220790?\nAnswer: 2, 5, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 132 - 31*m + 21*m - 15*m - 26*m.\nAnswer: -74*m + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z = 77*z - 10. Let r(q) = -q**3 + 11*q**2 - 12*q + 24. Let t be r(z). Solve 2*y + 4*u - u = -4, -2 = -t*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1674 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4133311391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -535, -877, -1219, -1561?\n\"Answer: -342*a - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.22 - 1.1. Let y = w + -103.12. Let x = y + 101. Which is the fourth smallest value? (a) -3 (b) x (c) 1\/8 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-34))\/(3485\/11849)*1*1\/(-10)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*4*(sqrt(136) + 2*sqrt(136)))\/(((sqrt(8)*1)\/sqrt(4) + (sqrt(4)\/sqrt(2) + sqrt(2))*1)*2))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 9*w - 22. Suppose -5*b - 22 = 23. Let f be g(b). Does 12 divide (4\/2)\/(-4 - f\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1357473, 1357465, 1357451, 1357431, 1357405, 1357373, 1357335?\nAnswer: 1357291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3260 and 3260 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4365\/300 + (-21)\/12.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 118 - 9*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, -426, -2, 5 in ascending order.\nAnswer: -426, -40, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572648 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(1700)*-1 + sqrt(1700))*1 - (-1 + sqrt(1700) + -1 + sqrt(1700)*3))*-2)**2 + 1.\nAnswer: -960*sqrt(17) + 244817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**2 + 40*i - 43. Let m be h(-5). Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10040 and 20.\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f**5\/20 - 53*f**4\/12 - 13*f**3 + 16*f**2 - 31*f + 5. Factor k(u).\nAnswer: -(u + 2)*(u + 16)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*m + 12, 4*m + 0*m - 12 = 0. Let n(q) = -q**3 + 6*q**2 - 3*q + 1. Is 11 a factor of n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 s, and 1 k when four letters picked without replacement from ksssspkpkssspsdskk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -26736\/90679?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((13 + (-16 - -7) - -1) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 - 492*p - 98. Determine c(-49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37922 is divided by 12628?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 4, 48, 146, 316, 576, 944?\n\"Answer: 3*y**3 - 13*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -927213?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 - 2634 = -72*p - 221*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899 = 28*t + 787 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13937 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**5*s)**(1\/26))**(-4\/9)*(s**(3\/2)*s**(-1\/18))**49 assuming s is positive.\nAnswer: s**(8287\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - -24. Suppose -c + 241 = f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230043 and 5049.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 510052137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 0. Let k = 10 + q. Let m be (1 - 0) + 2*2. Sort k, 1, m in decreasing order.\nAnswer: m, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16792564?\nAnswer: 2, 4198141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z. Suppose 3*b - 3 = -0. Let r(m) be the second derivative of m**3\/6 - 4*m. Give b*v(a) - 3*r(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4895995 is divided by 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, 3, 0 in decreasing order.\nAnswer: 297, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 531207 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: In base 4, what is 1331311 + -11?\nAnswer: 1331300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)*w**(-5)*(w**(-3\/2))**(-11\/8) assuming w is positive.\nAnswer: w**(-191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000059466958 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 997045 by 5.\nAnswer: 199409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 k when four letters picked without replacement from vjjkvkjjvvvjv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:31 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a + 1 - 4*a - 9*a.\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -27483.\nAnswer: 35\/27483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.134 + -0.134. What is the second biggest value in -4, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40887, -81750, -122613, -163476, -204339?\n\"Answer: -40863*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 91*s**3\/6 - 25*s**2\/2 + 95*s + 1. Is q(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5896 + -4492. Calculate the greatest common factor of g and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -1370, -3057, -5396, -8375, -11982, -16205, -21032?\nAnswer: -26451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -1886, -3459, -5448, -7853, -10674, -13911?\nAnswer: -17564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1304 and 0?\nAnswer: 0.1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = 6. Suppose -10 = h*p, -x + 4*p - 12 = 3*x. Let w = 16 - x. Calculate the smallest common multiple of w and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-20))\/(51\/68).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5365631 (base 7) to base 2.\nAnswer: -10011111111011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajagjjigqma. What is prob of sequence iam?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -477236 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -126 and -9802 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 241056 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402440011 (base 5) in base 2?\nAnswer: 110001000110000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 75*v + 9. Determine k(-37).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 113, -8, -0.5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c + 1 + 472*c**3 - 3*c - c**2 - 469*c**3 + (0*c**2 + c**2 + 2*c**2)*(-c - 3*c + 2*c).\nAnswer: -3*c**3 - c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**3 + 44*w - 44*w)*(1 + 0 - 3)*(0*w - 3*w + w)*(3 - 3 - 4).\nAnswer: 176*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.355 less than 10?\nAnswer: 71.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13458 and 154767.\nAnswer: 309534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17682*j**6 - 19636*j**2 wrt j?\nAnswer: -2121840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.7, -4, 2.526, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 690 and 251385492?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 6*a**4 - 3*a**4)*(-3 + 4 + 1) - 72*a**4 - 229*a**3 + 229*a**3.\nAnswer: -68*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 6*a + 12. Let v be h(8). Suppose -9 = -0*r - 3*r, 72 = 4*o + 4*r. Let u = o - v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 85 = 10*j. Let n be (j - -9 - 8)\/(-3). Find r, given that 0*r**2 + r**4 + 0 - n*r**3 + 0*r + 4\/3*r**5 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24705 and 3719475.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 = -3. Let z be (a + 1)*(-200000)\/(-2). Round z to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/49059 and -43\/4.\nAnswer: 196236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -42*c - 198. Suppose 86 = -15*l + 11. Let j be v(l). Let k(d) = -d**2 + 13*d + 4. Calculate k(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1085434\/9 - -120618. Factor -2\/9*x**2 - t + 32\/9*x.\nAnswer: -2*(x - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a - 285. Suppose -5*m + 2*d = -62, -4*m - 7 = -5*m - 5*d. Let b be z(m). Solve 5\/3*x**5 + 0*x - 10\/3*x**2 + 0*x**4 + 0 - 5*x**b = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95637?\nAnswer: 3, 71, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 295819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1942806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -468*k**5 + 2*k**3 - 1336*k**5 - 2*k**3 + 2*k**4 - 2*k**4 + k**5 + (2*k**3 - 3*k**3 - k**3)*(2*k**2 - k + k) + 2*k**5 - k**5 + 0*k**5.\nAnswer: -1806*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -408270324 divided by -18172\nAnswer: 22467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 33.08. Round x to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*72.987\nAnswer: 145.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291553.\nAnswer: 53, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/510 + n**4\/102 - 51*n**2. Factor w(x).\nAnswer: 2*x*(x + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-18) - (80\/(-30))\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*q**3 + 3*q**3 + 45*q**3.\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33 - 23)\/70 + ((-60)\/(-14))\/3. Find s such that -19\/7*s**3 + 0 + n*s**2 - 3\/7*s**5 - 2\/7*s + 13\/7*s**4 = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 14 + 53 - k + 8*k**2 + (0*k + k + 0*k)*(-3*k - 3*k + 5*k).\nAnswer: 7*k**2 - k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5\/12, 0.9, -128.\nAnswer: -128, -20, 5\/12, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/12 - 3*z**3\/2 + z**2 + 2*z. Calculate the common denominator of u(-7) and 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkhk when four letters picked without replacement from {h: 3, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-99)\/(-6)*8\/6. Let v = -16 + o. What is the units digit of v\/(-15) - (-81)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 5. Let g be v(0). Put 1, -5, 8, g in ascending order.\nAnswer: -5, 1, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3300222544 + -3?\nAnswer: -3300222551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 10 = -12*g. Let n = -97\/10 - -61\/4. What is the common denominator of g\/(4*-1) - 40\/22 and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12512203 (base 6) in base 16?\nAnswer: -650eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 44 = -3*y, -2*s - 5*y - 44 = -4*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(987\/18))\/(9740\/(-34090))\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 a factor of 519054354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -29*b**3 - 37*b**2 - 91. What is the second derivative of h(c) wrt c?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -12478?\nAnswer: -12483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 62, 152, 278, 440, 638?\n\"Answer: 18*q**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -1, -13\/408, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -68 - 32. Let k = u - 20. Suppose -2*g = -4*a + k + 1, -9 = -3*a. Solve 0 = 4*b - g*y + 5*y + 6, -b + 3*y = -9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8 + 6 + 3 + 29*n.\nAnswer: 29*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 282.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1408.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25773122\/21195 + 1216. Is 0 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 11*u**5\/20 - 5*u**4\/6 - 5*u - 11. Let s(l) be the first derivative of y(l). What is the third derivative of s(v) wrt v?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 22585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 + -8 + 2 + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 3430*a**2 + 3428*a**2 - a**4 + 4 - 64*a**3 + 1 - 2 in the form x*a**2 + k*a**4 + s*a + j*a**3 + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*o + 18, 0*o + 2*o = -2*j - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - h. Let y(u) = u**3 - 4*u**2 - u. Calculate 4*j(p) - 3*y(p).\nAnswer: -3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.8 + 24. Which is the biggest value? (a) 0 (b) 1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*t = 3*o - 304*t - 1, 3*o = 5*o - t + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107\/3 - 34. Let p be 4 - 92*(-4)\/(-88). Which is the nearest to -2\/3? (a) p (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15*c**4 - 183*c**2 - 11. Let w(r) = 777 - 20*r**2 + 5*r**4 - 781 - 41*r**2. Let z(f) = -4*l(f) + 11*w(f). Find the third derivative of z(b) wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*r = -5*k + 25, 0 = -5*r + 4*k - 20. Suppose -l + 4 + 1 = r. Let j = 21 - l. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*(-28)\/112 - 98918\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-41)\/d)\/d*d**(-4\/7)*((d**30*d)\/d)**(4\/11))**(-46) assuming d is positive.\nAnswer: d**(115690\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:20 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 26*n**2 - 54*n + 226. What is j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35 (b) -3\/4 (c) 0.0711\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(1 - 2 + 0)*(10*h - 39 + 39)*(-5 - 1 + 5)*((-1 + 1 - 2*h**3)*(0*h + 3*h - 2*h) + 16*h**4 + 4*h**4 + 7*h**4).\nAnswer: 500*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1274, 2139, 3170, 4367, 5730, 7259?\nAnswer: 8954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 135895*h**2 + 2851360*h - 6246340.\nAnswer: 5*(h - 2)*(h + 23)*(h + 27158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42289 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 5 (c) -2350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 87*i**2 - 4*i. List the prime factors of h(2).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**3\/7 - 6456*m**2\/7 + 3473328*m\/7 - 622883488\/7 = 0?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 54 = 2*n + 10, -36 = -4*n + 5*r. Solve 18*g = n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 13*k + 28 = 0, 4*f - 190*k = -393*k + 205*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053) + -1 + -5 + (sqrt(1053) - sqrt(1053)*1) + 3)**2*-6.\nAnswer: -25326 + 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2773 + -19413\/7. Let z = 198 + -181.2. Let u = z + -17. What is the third biggest value in u, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45315 and -0.2174.\nAnswer: -9851.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) - (sqrt(91)*-1 + sqrt(91))) + (sqrt(91) - -1*sqrt(91)*3))\/((sqrt(441)\/(-2*sqrt(7)))\/(sqrt(9) + sqrt(36)*-1)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2 - u**3 + u + 0*u + 3. Let y(x) = 3*x**4 - 2*x**3 + 5*x + 2. Let h(s) = -2*i(s) + y(s). Find the second derivative of h(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 21. Let z be r(7). Let x be -1*5*4\/(-5). Let l(n) = -n**3 + 15*n**2 - 13*n - 14. Let a be l(14). Solve a = x*q + z + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 + 6*q + 5. Suppose -25 = -5*c, 3*c - 2819 = -3*x - c. Let g = -938 + x. Let n(f) = -8*f**2 - 5*f - 4. Calculate g*n(o) - 4*s(o).\nAnswer: 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -103. Suppose -6*j - k + 19 = 0. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 10*h**2 - 10*h - 3. Let l(w) = w**3 - 3*w**2 - 2*w - 1. Let f be l(2). Calculate the remainder when 21 is divided by a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18132*q + 36358. Determine n(2).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1284\/(-2140)*(100\/(-12))\/(-5)*(-8)\/(-22)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*q - 3 + (q - 4*q + q)*((0 - 4 + 2)*(-4 + 4 - 2) - 152 - 87 + 89 - 3 + 5 - 1)*(0 + 3 - 1) as n*q + r and give n.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f. Let k be (-55)\/(-33) + 2\/6. Let x(p) = -829*p + 2*p**4 - 8 + 5*p**2 + 0*p**2 + 856*p - 4*p**3. Let w(s) = k*x(s) + 22*j(s). Factor w(z).\nAnswer: 4*(z - 2)*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 15\/(-5 - 24\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1206 and -139\/402.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5432)\/(-84))\/(4\/(-3) - -1). Let r = f - -311. Calculate the greatest common factor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594917?\nAnswer: 594917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 14) to base 2.\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-13) + (-34846)\/(-91) is divided by 74?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - 2*r**2 - 3*r**2 + 3*r**2 - r**2 + (-r - 4*r + 3*r)*(r - r + 2*r) + (0*r**2 + 0*r**2 - r**2)*(-4 + 2 + 1).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4670 is divided by 933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 12. Suppose -4*a = 5*d - 47, 3*d - 2*a - 2*a - 41 = 0. Suppose -6*u + 2*u - 47 = -5*h, -u - d = -h. Let y be w(u). Solve p = 5*p - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y - 11. Let a(f) be the second derivative of 0 + 1\/3*f**3 - 17*f + 2*f**2. Calculate 11*a(i) + 4*l(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-15))\/(5\/(-75)). Suppose j*u - 13*u = 7360000. Round u to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(2\/6 + (-20)\/(-12)). Let j be (-3 - 19)*(-1)\/v. Is j less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394, -14, -3, 1, 3.\nAnswer: -14, -3, 1, 3, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -8*m + 57. Suppose -3*f = -5*u - 32, -2*u = m*f + u - 8. Solve 17 = -5*g + 5*x - 23, -f*x - 8 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28840875 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -929373, -1858744, -2788115?\nAnswer: -3717486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 68.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.51 + -0.11. Let c = -0.9 + y. Put -3, 1, c in decreasing order.\nAnswer: 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.25. Let q = 0 + i. Let f(y) = y**2 - 5*y + 2. Let n be f(4). Which is the second smallest value? (a) q (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19673699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, -81, -292?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 28 - 32 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 12\/(-9)) + (-8)\/(-12). Solve 5 = 2*n + s*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 58, 2, -19, 4 in ascending order.\nAnswer: -19, 2, 3, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15566865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7475381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = -0. Let o = n - -1. Which is the smallest value? (a) o (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 (base 5) in base 4?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42997568611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.1. Let z = 4.1 - d. Let i = -52 + 47. What is the third biggest value in z, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23324339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 7005?\nAnswer: 42030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6090438 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 5*c**2 + 10*c + 3. What is the first derivative of n(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4431*d - 8 = 4430*d - 3*w, d - 4*w + 13 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8440.0128us in hours?\nAnswer: 0.000002344448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3484923g in nanograms?\nAnswer: 348492300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212283524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 577 - 811. Let n = 454 + g. What is the greatest common factor of n and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**3 + 7*g**2 - 24*g + 545. Let i(x) = -4*x**3 - 4*x**2 + 14*x - 273. Give 5*i(d) + 3*m(d).\nAnswer: -2*d**3 + d**2 - 2*d + 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-19 - -29) - (0 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -7, 66961?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 129*p = 0. Calculate p.\nAnswer: 0, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodoodoodooodmoomd. What is prob of sequence dmd?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 4216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -608 + -213?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 284690?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y**3 - 2)*(-12 + 6*y**2 + 12)*(-1 - 7 - 4) - 27*y**5 + 3*y**4 - 3*y**4.\nAnswer: -171*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336198*c + 336198*c + 12*c**3 - 17*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1902\/(-36) - 2\/12. Let l = h + 68. Suppose 20 = 2*s + 2*s. Solve s*u - 8 + 43 = 2*n, u + l = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2073 + -2090.81. Let b = q - 0.19. Let k = b - -18.000096. Round k to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 6) to base 4\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 1\/43 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.004? (a) 4 (b) 8\/5 (c) -0.7 (d) -0.04 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 4051. What is the units digit of y(-38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + v**2 - 2*v + 1. Let b be p(1). Suppose 5*d = -b*t + 12, -2*t + 7*t = -4*d + 6. Calculate the remainder when 15 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1897360 to the nearest 1000.\nAnswer: -1897000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 + (-11 - -22))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 1, p: 2, d: 4, y: 8}. Give prob of picking 1 p and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -102.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) -486 (d) 3\/5 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/2)*k)**(-41)\/((k**(-1\/6)*k)\/k*k\/(k**(-9)*k*k*k)))**17 assuming k is positive.\nAnswer: k**(-3485\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.540881 and -0.1.\nAnswer: -0.1540881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 2, p: 1, w: 4}. Give prob of picking 1 p and 1 w.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 195277454 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 3*g - 4 + 2*g + 6*g + 3*g**2 in the form y + h*g + s*g**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8632 - q**2 + 4*q**2 - 2*q - 8652.\nAnswer: 3*q**2 - 2*q - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*x**2 - 8439*h*x**2 - 138802*x**2 wrt h.\nAnswer: -6*h*x**2 - 8439*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-751)\/(-3))\/(-5*(-4)\/60). Suppose -p = -2*q - 5*c, 5*q - 2*c - 1836 + 2 = 0. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 18. What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 657*m + 661*m + 56, x - 3*m - 6 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4.88. Let y = -46.88 + b. Let o = y + 46.81. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 487 - 6b?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 8*s - 3. Let w(z) = -z**2 + z - 95 - 4*z + 37 + 59. Let b = 0 + -8. What is b*w(h) - 3*x(h)?\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -441 + 216. Let b = i + 501. Suppose j - b = 5*v + 30, -351 = -j - 4*v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 + 4*w - 10. Let h be m(2). Find the first derivative of -59*o - 185 - h*o**3 + 71 - 93 + o**3 - 56*o wrt o.\nAnswer: -3*o**2 - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhll. Give prob of sequence lhlh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 - 6*s - 2. Let b(t) = 18*t**3 + 9*t + 6. Let k(y) = -37*y**3 - 16*y - 12. Let c(r) = 9*b(r) + 4*k(r). Give 6*c(p) + 17*v(p).\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 11*n + 7. Let l be f(-7). Let m = l - -91. Let j = -141 + m. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(-868)*4)\/(-14 - (-232)\/16). Let v = 0.1 + 0. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81221*v**3 + 624387*v**2 wrt v.\nAnswer: -487326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4326*b - 233595. Determine u(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 3*t = 18*c - 2*t - 105, 2*c = 5*t - 70 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3363 - 3363 + 40*x**2.\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 12596510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2452 + -1235. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -165. Suppose 0 = 3*o - 4*q + 8, -o - q = -2 - 0. Suppose -3*l - 2*l = -10. Solve o = -l*j + 4, 0*w - j - t = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 33. Let i = 9 - w. Let r = 1.95 - -0.05. Which is the smallest value? (a) r (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5621 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33303412 (base 6) to base 4\nAnswer: 3311012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -0.055, 2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l**2 + 6*l + 4. Let c(f) = 41*f**2 - 18*f - 11. Let b(v) = 4*c(v) + 11*s(v). Is 6 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 2*d**2 + d. Let s be -2 + (2 - -2) + (-12)\/4. Let b be w(s). Sort 1, b, 21 in ascending order.\nAnswer: b, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -4 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(704) + 0 + 4 + sqrt(704)))**2.\nAnswer: 512*sqrt(11) + 11327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjhr when four letters picked without replacement from rbrbbblhhrlhbjhbhrr.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.84 + -14219.\nAnswer: -14229.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 82 + 108*g**2 + 18*g**2 - 39 to the form w + q*g**2 + l*g and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*g + 3570, 0 = 56*g - 54*g - 3*q - 1430. Find the second derivative of -510*j + 22*j**3 + 39*j**3 + 15*j**3 + g*j wrt j.\nAnswer: 456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 1, -27, -6 in increasing order.\nAnswer: -42, -27, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 10:21 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 155, 311, 467, 623, 779?\n\"Answer: 156*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99103054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 + 8*t + 12. Suppose 4*i - i = 5*g - 5, 4*g + i - 21 = 0. Calculate the least common multiple of q(9) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from wowwowhwwowwwwwwwwww.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhh when four letters picked without replacement from hhhhhhhnnhhnhhhh.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*m**3*u + 1939*m**2*u**3 - 348943*u**3 wrt m?\nAnswer: -39*m**2*u + 3878*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 3, l: 13}. Give prob of picking 1 l, 1 k, and 2 n.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 510, 340, 266, 336, 598, 1100, 1890?\n\"Answer: 8*t**3 - 226*t + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2 + 2)*(2396 + 326*q**2 - 2396) + 21*q**3 - 4*q**3 + 27*q**3 as b + s*q + f*q**2 + z*q**3 and give z.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose k*w = 3*m - w + 9, 5*m = -w + 15. Suppose -f - 3*h + 5 = 0, -f + m = 2*h - 3. Which is bigger: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028758 to seven dps.\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 + 2*s. Suppose -2*c - 985 + 979 = 0, -3*r - 5*c + 111 = 0. Calculate the remainder when r is divided by h(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5877 + 10286. Suppose 11*d - g = -1252. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1418 times -8\nAnswer: -11344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1 - (3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2787272 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-30)*2)\/(3\/(-15)). Let b = 70 + -70. Sort 10, q, 1, b in ascending order.\nAnswer: b, 1, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 726.8406ng?\nAnswer: 0.0007268406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120011200012 (base 3) in base 7?\nAnswer: 2352464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 + -192. Let d be (j\/2)\/((-43)\/(-86)). Solve -4 = -o, -r - 4*o - d + 33 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.3 (c) 7 (d) 850 (e) -0.4 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/17, 0.2, -6, -2\/3 in ascending order.\nAnswer: -6, -3, -2\/3, 3\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2533811.76.\nAnswer: 253381.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) + sqrt(84)*1)*-3 - (sqrt(84) + (-2*sqrt(84) - sqrt(84))*2))\/(-2*(2*sqrt(300) - sqrt(300))).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 0*y - 40 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 11)\/((-3)\/(-15)). Let r = k - 8. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 655626630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 32*w - 132. Let p be h(36). Sort p, -3, -4, -2.\nAnswer: -4, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -193492295?\nAnswer: -193492292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = 4*x, -5*s - 5*x + 25 = 5. Let g = 9 - s. Solve 3*d - g = -4*m, -3*m + 4*m + 4*d = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*b**2 - 2*b**3 - 46*b**2 + 5*b + 1 - 2 to the form z*b**3 + c + o*b**2 + x*b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113852*y**3 - 6264*y**3 - 14061*y**3.\nAnswer: 93527*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -162. Is (9 + 0)\/(33\/h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 610227 and 252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 + -6 - (3 + -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 7*m + 5. Let d be p(4). Calculate the common denominator of d\/2 - (2 - 6) and (84\/5)\/(-7) - (-2)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29055180 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -335 - -340. What is the smallest value in -2\/17, r, 17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1601*g - 1601*g + 1 - 41*g**2)*(3*g**2 + 3*g**2 + 8*g**2) in the form s*g**4 + l*g**3 + h*g**2 + u*g + a and give s.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2548 and 47\/32.\nAnswer: 20384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n + 70 = -69*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 2, k: 7, z: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 44?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/11)\/((-1)\/((-1138)\/4)). Let r = c - -156. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(3 - 3 + 2)*(0 - 1 - 4)*(1 + 3 - 6)*(0*i - 4*i - 9*i).\nAnswer: 260*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/120 + 3*u**5\/20 + u**4\/24 + u**3 + 2*u**2. List the prime factors of g(9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 420757 = 420727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngdfgnen. What is prob of picking 1 d, 1 f, 1 n, and 1 e?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201 - 2022210021011?\nAnswer: -2022210100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 298 - 110. Let v = s + 27. Let o be 4\/v + (-522)\/(-10). Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 277. Let a = t + -211.0091. Round a to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.09\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -47*i + 24. Let l(a) = -48*a + 22. Determine -7*l(d) + 6*u(d).\nAnswer: 54*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 - -7)*(-131 + 0\/1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -123401?\nAnswer: 75\/123401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 1 q when three letters picked without replacement from {q: 1, f: 2, e: 2, a: 1, m: 1, g: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 - 4*i**2\/7 + 50*i\/7 + 100\/7.\nAnswer: -2*(i - 5)*(i + 2)*(i + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 13*l - 9, -16150*j - 10 = -16153*j - 2*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 3. Let g be c(-4). Let r(i) = -i**3 + 2*i**2 - i + 2. Let u(o) = -2*o**3 + 3*o**2 - o + 3. Let a(v) = 5*r(v) - 3*u(v). What is a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 2. Calculate x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-15))\/(16\/48). Let d = 1 + 2. What is the closest to 0.2 in d, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 4:20 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12))**(5\/18) assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a2a687 - 1?\nAnswer: -11a2a688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1528292946 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**3 - 38*u**2 + 22*u + 4. Let f(t) = 15*t - 1 + 7*t**3 - 53*t**2 + 4 + 28*t**2. Let l(z) = 8*f(z) - 5*y(z). Is l(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/2 - 12*b**4 - 6*b**3 + 87*b**2 + 15*b\/2 - 75 = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 446\/269539 or 0?\nAnswer: 446\/269539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4 and 7\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18307 is divided by 6095.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 2*l + 25, -5*l - 15 = 5*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 10 = 4*x. Let a be (-1 - (-7)\/6)*x. Put a, 4, -4 in increasing order.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 55*h**2 - 11*h + 1112. Give x(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + v + 1. Let w(r) = r**2 - r + 1. Let u(l) = -i(l) - w(l). Let t(g) = 11*g**2 - 12. Calculate 6*t(m) - 34*u(m).\nAnswer: -2*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 3 - 5*d - 3*d**2 + 3*d + 2*d + 61.\nAnswer: -3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959502?\nAnswer: 2, 541, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11306 (base 8) to base 12.\nAnswer: -2946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpsxdpdd. What is prob of picking 2 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175.7 + -176. Which is the third biggest value? (a) f (b) -2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 5. Let u = -15 + 21. Let k be n(u). Is 1 + k - (3 - 52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 3*z**2 + 12*z + 12. List the prime factors of g(-5).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55*(-210)\/51975)\/(22\/2)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j)**(-20)*(j**(-1\/4))**(-3\/7) assuming j is positive.\nAnswer: j**(1123\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 143.6791 + 0.2\nAnswer: 143.8791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -210*r - 4813. Determine f(-23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 122, 204, 208, 92, -186, -668?\n\"Answer: -7*x**3 + 3*x**2 + 122*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 204 = -4234. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 45 + 47 - 97. What is f(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 6*z = 0. Suppose -22*n + 16*n + 744 = z. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {v: 1, x: 1, t: 1, z: 1, b: 2, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-192)\/(-3)*1\/2. Suppose 0*i + 3*i + m + 61 = 0, 0 = -2*i + 2*m - 38. Let f = h + i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 43*f**3 - f**2 + 1. What is d(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 - h - 6. Let a be (-15)\/20 - 21\/4. Let u be s(a). Suppose -67 + 435 = 184*j. Solve 2*m - 8 = -u*y + 4*y, j*y + 3*m = 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 14 - (-1 - -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 0. Let f = 1252 - 143. Let p = f - 1106. Which is the third smallest value? (a) p (b) 1\/12 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3051 - 3046. Solve 0 = -h*b - 15, 8*z - 21 = 4*z + 3*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 2*n - 26579*n**2 - 4 + 2*n**3 + 26584*n**2 in the form h*n**3 + r*n**2 + f + w*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/123 (b) -2 (c) 0.4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12864, -12708, -12630, -12636, -12732, -12924, -13218, -13620?\nAnswer: -14136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 126 = 202. What is the units digit of -3*8\/w*1844\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**2 + 0*w**3 - 97 - 201*w - 101\/4*w**4. What is the first derivative of y(v) wrt v?\nAnswer: -303*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/7 or 4370?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) 1\/2 (c) -4 (d) 221962\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.41879 kilograms in tonnes?\nAnswer: 0.02541879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2093, -3, -5, 20385 in descending order.\nAnswer: 20385, -3, -5, -2093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -197, -294, -389?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - a**3 + 2*a + 2 - 1 - 3*a**2 + 2. Let q be i(-2). Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99081.62 years in decades?\nAnswer: 9908.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 39*u**2 + 82*u + 4. Let t be k(41). Solve 0 = 3*q - 3, 0 = p + p + t*q + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13166676 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)*1 + sqrt(513))\/(-3*sqrt(108)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2390\/25*15\/18. Let c = j - 79. What is the closest to c in -2, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 w when four letters picked without replacement from {a: 3, s: 1, w: 3, q: 8, f: 1, k: 2}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-2)\/(3 - 2). Let u be (2\/(-9)*15)\/(4\/(-6)). Suppose -2*s = -c + 3, -15 = -14*s + 15*s - u*c. Solve 0 = -5*w + 4*m - 15, s = -0*m - g*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 1862 = -27*r - 132*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (828\/(-210) - -4)\/((-17)\/(-85)). Which is greater: 0.563 or h?\nAnswer: 0.563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -w - h - 2*h, 4*h - 16 = 0. What is the highest common factor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1120 + -8?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2102100 + 11?\nAnswer: -2102023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66a9 + c5b?\nAnswer: 7415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 675 = 3*d - 299, -3*r - 5*d = 2866. Let g = -949 - r. Solve 20*p - g*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 5 - 3)*1. Let b = 13 - 10. Let p(a) = -5 + 5*a**2 - 1 + b*a - 1 - 4*a**2. Calculate p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.6 + 239.6. Let g = 199.9617 - m. What is g rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**3 - 5810602*b**2 - 3*b + 3*b + 11621204*b**2 - 5810602*b**2 + 0*b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -18*c. Let h(k) = 9*k**2 + 21310*k - 3. What is h(l(d))?\nAnswer: 2916*d**2 - 383580*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 50. Put q, -0.4, 5 in increasing order.\nAnswer: q, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 11. What is f(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 161, -11, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.1. Let q = 315 + -320. Let c be (-15)\/42 - (-2)\/4. What is the closest to c in k, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 68*p + 12. Let i be 24*(7\/28)\/1. Is r(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1137981*n**4 - 27249*n**2?\nAnswer: 27311544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = 17. Suppose -4*r + 158 = 5*v, -5*v - r + 155 = 4*r. Let y = h + v. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/15 + (-12)\/(-15) - -2. Let m = 5 - y. Suppose m = -3*s + 11*s - 216. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -160138, -160195, -160252, -160309?\n\"Answer: -57*i - 160081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**7\/168 + r**4\/8 + 5*r**3\/6 + 7*r**2. Let d(j) be the first derivative of v(j). What is the first derivative of d(y) wrt y?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*s + 4*d, 0 = -s - s - 2*d + 10. Let i = 881 - 893. Let n = -1.6 + 2.6. Which is the closest to n? (a) 3 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3372.86 + -42.04. Round l to the nearest 10.\nAnswer: -3410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/11 (b) -2\/3 (c) -3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 13*p + 4*a = -104, 58 = 3*p + a. Suppose -p - 123 = -o. What is the remainder when o is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119 + 35*n**2 - 35*n**2 - 209*n**4 + 33*n - 31*n wrt n?\nAnswer: -2508*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 172919, 345857, 518795?\n\"Answer: 172938*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 80*g + 72*g + 30 - 78 + 26.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(343)*1*-6.\nAnswer: -168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -2)\/(3\/(-3)). Put -5, k, 2 in decreasing order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8729688?\nAnswer: 2, 3, 11, 43, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/54)\/((-78)\/24336*-56)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23616197 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 - 31 + 72 = 18*r. Is 27 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -242228*x - 968944. What is v(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 7) to base 2.\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 25*o**6\/21 - 48*o**5\/7 - 13*o**4\/2 + 748*o**3\/21 - 228*o**2\/7 + 80*o\/7 - 111. Suppose y(m) = 0. What is m?\nAnswer: -2, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w + 2. What is the units digit of ((-6)\/(-9))\/w*-36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-36) - 2\/(-8). Suppose -p + 0*p + 21 = 5*g, 4*g - 24 = p. Let x = -7 - -12. What is the smallest value in p, b, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5013 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8413237\/144 - 58425. Calculate the common denominator of 59\/1944 and q.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 27*t - 19. Is c(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**7\/70 + n**4\/8 - 3*n**2 + 5. Let c(b) be the second derivative of x(b). What is the second derivative of c(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, s: 9}. What is prob of sequence psp?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {x: 4, u: 1, j: 2, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-368))\/(2\/(-8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818256092?\nAnswer: 2, 173, 1182451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5631*j + 6672*j**2 - 3648*j + 6938*j**2 + 7080*j wrt j.\nAnswer: 27220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34130 = 5*k - 4*s, 5205 - 25690 = 3*k - s. Round k to the nearest 100.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/60 - p**4\/4 + p**3 - 38*p**2. Let t = -3782 + 3837. Let l(q) = 10*q**2 - 55*q + 55. Calculate t*x(h) - 6*l(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 620732 (base 9) to base 2\nAnswer: 1011001110110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 58*w + 30. Let y be j(23). Let l = y - -245. Put 6, l, 1, -5 in descending order.\nAnswer: 6, 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7019?\nAnswer: 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkkjjdddjdddjkdkdkd. What is prob of sequence dj?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 0, -2*h + 3*k = -2*k + 2. Is h != -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3977260?\nAnswer: 2, 5, 7, 28409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + -16 + (12 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*z + 21, 4*k + 0*z + 19 = -z. Let a be (-31)\/k - 3\/18. Solve -4*h - a = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 65 + 125. Solve -q + 0 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/5 - 4274*f\/5 + 17112\/5 = 0?\nAnswer: -4278, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 409633147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/42*-3*14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + ((-14)\/63 - (-4311428)\/(-18)). Let u = 48530 + v. Round u to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165757414177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b**2 + 89*b + 205. Let a be q(-10). Suppose -2*t - 4*m = -8, -5*m + 2 = 7. Solve -k = -t*k - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/70 and -101\/80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + sqrt(1573))**2 - sqrt(1573))*-5.\nAnswer: -8045 - 605*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -47*m - 6807. Let b be d(-145). Solve -7*v = b - 29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2063 and 133\/12378.\nAnswer: 12378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3050421\nAnswer: -1\/1016807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 10. Let d be k(-15). Put 18, d, 1 in decreasing order.\nAnswer: 18, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1366832925 divided by -5.\nAnswer: 273366585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 1)*(3 - 1 - 3)*(-7*n - 4*n - 10*n).\nAnswer: 168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 881, 2952, 6965, 13562?\nAnswer: 23385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 34*z - 550. Let s be g(-46). Solve -2*l - 4 = -4*n, -s*n + 11 = 5*l - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 3 + (-4 + 0 + 2)*(0 + 3 - 2))*(922*a**4 + 750*a**4 - 667*a**4) to z*a + l*a**3 + f*a**4 + r + n*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -53*x**2 - 1 - 2 - 3*x + 54*x**2. Let t be c(3). Sort -5, 4, t in ascending order.\nAnswer: -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 11*i = -57. Let b(l) = -17*l - 1. Let c(a) = 8*a. Let z(y) = i*b(y) - 7*c(y). Give z(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-18)*(12784\/(-4) - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2311*i**2 - 5051*i**2 + 1 - 2345*i**2 + 658*i**2.\nAnswer: -9049*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/11 + 972*h\/11 - 9920\/11 = 0.\nAnswer: -496, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199954245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3 - 3. Let z(d) = -d**2. Give z(g(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 13*l + 1. Let x be c(-11). Suppose 6*w = 4*y + w - x, -y + 5*w = -2. Suppose y*v - 1692 = 863. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 18*a - 21*a - 3*u, -3*a + 3 = -3*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6311611 divided by 3\nAnswer: -6311611\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-14) + -1*22\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40278408 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 191559\nAnswer: -76623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 17*i**5\/12 - i**4\/24 + 143*i**2 - 44. Let l(t) = 10*t. Let g(s) = -2*s. Let w(b) = 16*g(b) + 3*l(b). Give w(o(x)).\nAnswer: -170*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1040 divided by -5\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 28. What is the units digit of (-1172)\/(-14) - o\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1358, 23, -1, 3, 1, -4.\nAnswer: -4, -1, 1, 3, 23, 1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -12\/11, -1, 0.1, -3.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from vrvkkdkvwttv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 14. Calculate j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 32512.\nAnswer: 162560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*o + 15 = 78, -5*o = -37*n + 27*n + 490 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -o + 5 - d = 0. Suppose -4*x = 4, 0 = -o*m - 2*x - 2*x + 221. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 44 - 46 = -d, -4*d = 5*l - 452. Suppose 7*i - 25 = 2*i, 3*i = -5*f - 5. Let y = l + f. Is y equal to 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let d be i(1). Let p(s) = -7*s - 2. Let x be p(d). Let c be x\/10 - 2\/(-2). Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/49)\/((-55)\/(-385))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x**3 + 13*x**2 - 24*x**2 + 11*x**2.\nAnswer: -47*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 - 6*m - 6. Let u be v(-4). Let j(o) = -o**3 + 3*o**2 - o + 1. Let l be j(2). Suppose 5*n - l = 2*n. Solve -g + n = -u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*a + 10 = 574*a, z + 4*a = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3552054 + -1?\nAnswer: -3552055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 167, 153, 133, 107, 75?\n\"Answer: -3*r**2 - 5*r + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 40*d - 8. Let t(l) = 2*l**2. Give q(t(x)).\nAnswer: -8*x**4 - 80*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.96 - 2. Let r = z - -0.34. Let k = -3.99 - 0.01. Which is the biggest value? (a) k (b) r (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36528625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 11*c. Let g(r) = -r + 7*r + 0*r - 2*r. Let b(p) = -8*g(p) + 3*h(p). What is the second derivative of b(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2\/3, 3, -0.4, 1.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/((-57)\/(-15))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -37*f - 10. Let i be (-1)\/(-3 - (22\/7)\/(-1)). What is the tens digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3\/4 (c) 10.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {x: 2, c: 2, l: 2, z: 2, b: 7}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 2 - (7 + -5)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6*j*j*j\/j**(-2\/5))**(2\/65))**(-34) assuming j is positive.\nAnswer: j**(-272\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30) - (6468\/(-126))\/22*4\/(-7).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1636 and -0.335?\nAnswer: 1635.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(6\/11)\/b)\/b)\/b)\/b*b\/b**(3\/7) assuming b is positive.\nAnswer: b**(-222\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(39)\/sqrt(3) + sqrt(13)) + -6*(sqrt(13) + (sqrt(13) + -1)**2))*-3 - (1*sqrt(78)*3)\/(sqrt(6) - sqrt(18)\/sqrt(3)*-3).\nAnswer: -171*sqrt(13)\/4 + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0142388702 rounded to four dps?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 338, 10, -106, -2 in decreasing order.\nAnswer: 338, 10, 8, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 13*w - 8. Let i be o(-11). Suppose 3*f - 2*p - i = f, 3*p + 6 = 0. Let v = 7 - f. Solve 0 = h - 3*x + 3, v*h + 2*x + 0*x = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.067 + 0.069. Let w = t + -61.136. Let q = 61.00000015 + w. What is q rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1087, -2377, -3667, -4957, -6247, -7537?\n\"Answer: -1290*h + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00253273798 rounded to five dps?\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18833 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/212066 and 15\/46?\nAnswer: 4877518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 261 - 255.49. Let d = -0.51 + x. What is the nearest to 2\/5 in d, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -438824 or -2\/9?\nAnswer: -438824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31873 divided by -740.\nAnswer: 31873\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - 97. Suppose v*o = -o + 12. Suppose -2*z - u = -57, 2*z + o*u - 52 = -0*u. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 29*h**2 + 5*h**2.\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -783.97122 + 784. Round y to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/3 (c) 0.5 (d) -3 (e) 63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10865525?\nAnswer: 5, 11, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.99765 - 91. What is o rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1478074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 3*p**3 + 2*p**3)*(53*p + 40*p - 46*p)*(-58 + 15 - 10).\nAnswer: 4982*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-176)\/128)\/(2\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 14 + (0 + -2 - -4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*u - 17 = 5, 3*n + 5*u = 2. Let o = n - -10. Which is the second smallest value? (a) o (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-1\/17)\/u)\/u)*u*u**17*u*(u**(17\/2)\/u)\/(u\/u**(-9\/5)))**2 assuming u is positive.\nAnswer: u**(4549\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*g = 2*m - 129900, 0 = -4*g. What is m rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2 + c - 1\/2*c**2 = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 32 = -4*c. What is the lowest common multiple of 7 and 5 + 0*(-3)\/c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6190, 6266, 6468, 6796, 7250, 7830, 8536?\nAnswer: 9368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -18\/21805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44470\/9 + 4936. Suppose 10*l = 9*l - 56. What is the common denominator of t and ((-87)\/(-21))\/(240\/l)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(-2*sqrt(10)) - (-1 + sqrt(475) - sqrt(19)))**2.\nAnswer: -9*sqrt(19) + 1543\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-10))\/(688\/(-10320)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1072 + -0.4.\nAnswer: -0.2928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32378, -32378, -32388, -32414, -32462, -32538?\nAnswer: -32648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 552 - 520. What is the second smallest value in 52, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1300) + (sqrt(1300) + -1*sqrt(1300))**2).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 10 = 2*a, 4*c - a = -5. Are c and 8\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert fd1e1 (base 16) to base 13.\nAnswer: 2a3b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 10*d**4 + 60*d**3 - 200*d**2 + 160*d.\nAnswer: -5*d*(d - 2)**3*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35632371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(-645))\/(-3 - 108\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u - 20*u = 17*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + i + 18136, -28005 = -5*g + 4*i - 5324. List the prime factors of g.\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 30. What is the third derivative of 4*x**4 - 7*x**v + 0*x**4 - x**2 - 16*x**2 wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m + 1. Let p(d) = 1. Let o(y) = j(y) - 2*p(y). What is the tens digit of o(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-16)*4\/3. Let m = -2440\/11 - -222. Which is the nearest to -2\/7? (a) p (b) 2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 50*d**2 + 701*d + 11. Calculate o(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4, 2\/5, -0.16, 0.5 in decreasing order.\nAnswer: 4, 3\/5, 0.5, 2\/5, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504461591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 h, and 1 d when four letters picked without replacement from avjvavjdvwvjajajajah.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273586 is divided by 17082.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*7\/238)\/(((-9)\/2)\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (54\/45)\/(4\/10). Suppose -17 = -p*d + 7. Suppose 280 = d*l - l. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 619 + 3*a + 622 - 1241. Let c(p) = -p + 415. What is m(c(o))?\nAnswer: -3*o + 1245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 469.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100222222221 (base 3) in base 6?\nAnswer: -4115124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0 = -10. What are the prime factors of 12\/z - (0 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*h**2 - 2*h**3 - 604*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73344 and 110016.\nAnswer: 220032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/11 - 2129*y**2\/11 - 1125672*y\/11 + 7984368\/11.\nAnswer: -(y - 7)*(y + 1068)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 18. Let g be f(-17). List the prime factors of (-8 - -191)\/1 + -3*g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31275.626828 + 31276. What is w rounded to three decimal places?\nAnswer: 0.373","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702919329*0.1.\nAnswer: 70291932.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 10, -20 = -4*k - 3*w + 26. Solve -10*b - k*b = -138 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20663330 is divided by 2582915.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2.25.\nAnswer: -0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5 - 6\/6 - -4). Let b(z) = -15*z - 3. Let q(u) = -8*u - 1. Give j*b(v) + 7*q(v).\nAnswer: -11*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00207879 rounded to five decimal places?\nAnswer: 0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*f**2 - 16\/3*f**3 + 0*f + 0 + 2\/3*f**5 - 2\/3*f**4 = 0. Calculate f.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 8*x**2 - 5*x - 50.\nAnswer: -(x - 5)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(1\/45)*(o**15)**(-18) assuming o is positive.\nAnswer: o**(-85052\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxgxuxuuux. Give prob of picking 1 x and 2 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/(10\/1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*q + 200*q = -4080. What is the least common multiple of q and 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2\/2 - 2. Let c(l) be the second derivative of l**3\/6 + 4*l. Calculate c(t(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1360 - -4938. List the prime factors of x.\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let u(h) = -h**2 + w*h**2 - h**2. Let c(k) = 3*k**2 - 10. Let z(l) = 2*l**2 - 8. Let s(j) = 4*c(j) - 5*z(j). Calculate s(u(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -245100c7 + 5?\nAnswer: -245100c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, q: 8}. Give prob of sequence sss.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.7. Let j = -540 + 540.0197. Let b = 0.0803 + j. Sort 4, b, -2, h.\nAnswer: -2, b, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433316556.\nAnswer: 2, 7, 181, 277, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*s - 2*s + 3*s)*(5 + 3*s - 5)*(1 + 0 + 0)*(0*s + 0*s - 3*s) to the form c + i*s + q*s**2 + z*s**3 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Solve g*r - 5*r + 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (440\/(-25))\/(5\/50). Is -2 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -4.08. Let q(z) = -157*z + 35165. Let u be q(224). What is the second smallest value in v, u, -1.01?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 37\/2 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36615, -146729, -330765, -589143, -922283?\n\"Answer: -70*a**3 - 36541*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 10 = -74. Differentiate -25*p + u*p + 42 - 70*p**2 + 9*p with respect to p.\nAnswer: -140*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 60 + 2*g**2 - 68 to the form i*g + m + p*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6386, -6388, -6388, -6386?\nAnswer: -6382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:41 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2012*l**3 - 1178*l**3 - 15*l**2 + 637*l**3.\nAnswer: -2553*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-35290.\nAnswer: -599930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10) + (-1146)\/(-30). Let r = -59 + u. Let l be 1\/2 + (-230)\/r. Solve 0 = -5*i + 3*z + 1, -l = -3*z - z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*y + 3, 0 = -2*t - 4*y + 6. Let r be (t - 0)*(4 - -1). Let d = 0 - r. Solve 0 = d*x - 8 - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500.351 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -74*b + 0 + 1\/18*b**4 + 784\/3*b**2 - 56\/9*b**3. Suppose z(g) = 0. What is g?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -44*g**2 + 278*g - 374. Give j(8).\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.37, -99, -0.4?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88291 and -1804.\nAnswer: -159276964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -279.\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 530450*h + 265225*h + 265225*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28794, 57435, 86076, 114717, 143358, 171999?\nAnswer: 200640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -121 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v + 3. Let n(i) = 6*i - 2. Let c(p) = -3*b(p) - 5*n(p). Give c(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/17, -1\/2.\nAnswer: -1\/2, -2\/5, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 1, r: 2, v: 6, e: 3}. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269 - -510.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - z = -0*z + 144, -4*z + 201 = 5*y. Suppose -d + 0*d + y = 0. Calculate the remainder when 68 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 + 3.8. Put -1, m, -2 in ascending order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 2*f + 22, 51 = 3*r + 5069*f - 5058*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 6. Solve -j = 3*c - c - n, 2*n = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-7) - 10 - (-4)\/(-7). Let f(b) = -b**3 - 5*b**2 + 4*b - 20. What is f(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -923, -1474?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1565\/4 - 7863\/20. Let f = -11\/10 - x. Let d = 2 + -1.95. What is the third biggest value in f, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5208*n**2 + 123*n - 9 wrt n?\nAnswer: 10416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24918145961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-15)*u))\/u)**4)**(4\/15))**(-1\/15) assuming u is positive.\nAnswer: u**(-224\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34*63\/(-3570))\/((-6)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265630805*j**4 + 125892671 wrt j.\nAnswer: 1062523220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271385 is divided by 147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1\/2)\/((-10)\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 13, 25, 45, 73, 109?\n\"Answer: 4*x**2 - 8*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12452 divided by 13048\nAnswer: -3113\/3262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310 + -305. Suppose 2 = 5*m - 13. Suppose 0 = -m*p - 1 + 22. Calculate the remainder when p is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(sqrt(17) - sqrt(17)*-2).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8365 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 2*d**4 - 39*d**2 + 252 - 43*d**3 + 42*d**2 - 2*d + 44*d**3 to s*d**2 + l*d**3 + p + m*d**4 + q*d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/118160022 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6 (b) -3.8 (c) -13 (d) -4 (e) -1\/17 (f) -2 (g) -0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*z - 1880 + 320. Suppose -g - g + 346 = 2*s, -2*s + 6 = 0. Calculate the greatest common factor of z and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = z - 160, 4*c - 129 = -z. Suppose 0 = c*b - 14*b + 2618. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, 1 c, and 1 z when four letters picked without replacement from {z: 4, c: 3, p: 10, n: 2}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 73.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230.578615414 + 50.578615496. Let i = u + 180. Round i to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 31.5. Let o be (4\/8)\/((-20)\/(-16)). Which is the closest to o? (a) 5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**7\/280 + v**6\/60 + v**5\/40 - v**4\/4 + 5*v**3\/3 + 3*v**2. Let j(d) be the first derivative of u(d). Factor j(p).\nAnswer: -3*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2224 and 101\/556.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 11:21 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 16)*16\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -258 and -43.7.\nAnswer: 11274.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**3)\/d)\/d)\/(d**0*d*d))**(5\/14)\/(d**(-3)*(d*d**(1\/4))\/d*d**(2\/9)*d*d**2*d) assuming d is positive.\nAnswer: d**(-821\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2169*b + 3076*b - 5287*b.\nAnswer: -42*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-6)\/((l*l**(-1))\/l)**(-2\/13) assuming l is positive.\nAnswer: l**(232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/5*50\/(-15). Suppose 5*w - 20 = -c + 38, c = 2*w + t. Suppose -17 = 10*b - 11*b. Calculate the remainder when c is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-92)\/6)\/(2*(-5)\/135). Suppose f = 10*j - 2213. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x + 39 = -93. Suppose -x*b + 8149 = -5*p, b - 3*p - 8155 = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 1. Let k be y(-1). Suppose k*h - 3 + 0 = 0. Let l(i) = h + 1 - 4 - i**3 + 3*i. Determine l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(475) + 0 + sqrt(475) + 5 + -4)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7279 - 7209. What is the smallest value in x, 3, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/28*5*18\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:38 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731049 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**2 + 15*k**2 - 2*k + k**3 + (1 - 1 + 2*k)*(-2 + 2 - 3*k**2).\nAnswer: -5*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21490010957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*x = 0, 0 = v + 3*x - 0*x + 2. Solve 5*i + 2*u = -25, -v*u = 4*i - 9*u + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7955.\nAnswer: 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*h**3 - 4315*h - 27471058.\nAnswer: 303*h**2 - 4315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:45 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/24 and 7\/1398.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m*m**(-2\/9)*m)\/((m*m*m*m**29*m)\/(m\/(m\/((m\/(m*m**(6\/25)))\/m*m)))) assuming m is positive.\nAnswer: m**(-78319\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a5a - 24?\nAnswer: 11a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26994017?\nAnswer: 26994017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 447323203 a multiple of 3347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 422*z + 3285. Give u(-8).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8472)\/5648)\/(12\/(-2)*2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 3*h)*(-5 + 2 + 4) + 2 - 2*h - 2 - 2*h - 13*h + 10*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22236)\/2448 + (1 + 14)*(-9)\/(-15)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 1699*u - 7990. Calculate x(-335).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3*v**2 - 90*j**3 - 9066524*j*v**4 + 6311*j - 2 wrt v.\nAnswer: -4*j**3*v - 36266096*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 40*d - 146. Suppose -5*z - 2*h - 16 = 0, -252 = 3*z - 5*h - 230. What is u(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/185, 123, 0.17758 in descending order.\nAnswer: 123, 0.17758, -2\/185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - 2*w + 3. Let d be x(2). Suppose d + 23 = o. Does 8 divide (-418)\/(-13) + o\/(-169)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let b = -140 + 1262\/9. What is the closest to 0 in b, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017479 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10446277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44615, 89120, 133623, 178124, 222623, 267120, 311615?\n\"Answer: -p**2 + 44508*p + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 21 = 3*t, -78*t + 5 = -f - 77*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4000763 and 1?\nAnswer: 4000764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.21611155 rounded to one dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-3 - -18) + -4 + (0 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4\/5 (b) 5733 (c) -0.5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-10))\/(33\/(-17105)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 16) to base 10.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 10*m - 19. Let i be (-1 + 1 + -7)*-1. Let f be x(i). Solve -2*z = -2*y + 12, -f*z - 2*y - 7 = -3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 6*n + 5. Let w be f(6). Suppose v = 5*d + 24, w*v - v - 5*d = 36. Solve v = -3*l + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -647204 + 4.\nAnswer: -647200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2645, 7250, 0.2 in decreasing order.\nAnswer: 7250, 2645, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 168 = -68 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939604.4 tonnes to kilograms.\nAnswer: 939604400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 63 + 216 + c)*(2 + c - 2).\nAnswer: c**2 + 163*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*12\/14*35. Suppose -i - 4 = -0*i - 3*m, -2*m = -3*i + 2. Let l = 8 - i. What is the greatest common factor of l and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -5*a**2 + 50*a + 216. Determine c(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 7. Let c be i(-3). Let s(o) = o. Let z(v) be the second derivative of v**3\/3 - v**2 - 3*v. What is c*z(b) + 3*s(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 - 6*n - 3. Let f be i(-6). Let a(l) = -l. Let t be a(f). Solve -z - 2*p + 22 = t*p, 16 = 2*z + 3*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/(1\/2). Suppose -q - 4*t - 16 = -f*q, 4 = 4*t. Let s = -2 + q. Put -3, -1, s in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*v - 7*v**2 + 27*v + 2224*v**3 - 2229*v**3 wrt v?\nAnswer: -30*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12, -2, 1\/4, -356782\/11, 0.4, 4?\nAnswer: -356782\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 + 16.7. Let o = -13.9 + i. Put 0, o, -2\/3 in increasing order.\nAnswer: -2\/3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 2*w, -2*w = -2*x + 5*x - 7. What is the third smallest value in -2, -5, 11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 + 0.41. Which is the closest to 0? (a) i (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 21. Solve -2 - 18 = 5*y - 3*x, 0 = 4*y + 5*x - w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198591 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 1. Let g(o) = 1. Let t(q) = 6*g(q) + r(q). Let b be t(-3). Let a be (-6)\/21 + (-3 - (-111)\/21). Is b at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4.8. Let q = j + -0.2. What is the closest to 0.2 in q, -3, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmyy. What is prob of picking 2 m and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-732)\/1952)\/(9\/16)*(-1 + -2)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*i = -142*i + 493904. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 218 = 1198. Suppose -4*s + 242 = -2*z, 4*s + 0*z - o = 5*z. Suppose 4*a - 252 = s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16505*a = -17290*a - 97340 for a.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -436384.52 and -11.4.\nAnswer: -436395.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/1755*9)\/((-90)\/25).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -18.1. Let g = 7 - f. What is the second smallest value in 3\/4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -9)\/((-2)\/(-1)). Suppose -z*w + 1 = -2*d + 5, -4*d = -3*w - 8. Suppose f = -4*v + 6*f + 17, -2*v = -4*f - 10. Solve v*s - 2*s + 2 = w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-432000018)\/(-135) - (-4)\/(-30). Round g to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15131.71724 rounded to the nearest ten?\nAnswer: -15130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.3 (b) 117 (c) -3\/5 (d) 0 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -61, -78, -91, -100, -105, -106?\n\"Answer: 2*s**2 - 27*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -790*q + 1080*q + 1609*q - 2140 - 317*q + 2335*q with respect to q.\nAnswer: 3917","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z\/z**(4\/5))\/z)*z\/z**(-3)*z*((z**5\/z)\/z)\/z**(-1)*((z*z*z\/(z\/(z\/z**(3\/8))))\/(z**(-7)\/z))**(2\/37) assuming z is positive.\nAnswer: z**(8417\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 16 = q, -5*a + 4*q - 23 + 24 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*2*414\/(-2277)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/9 (b) 54 (c) 0 (d) 43\/11 (e) 2\/139 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2221?\nAnswer: 2\/2221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6670*x + 1734*x = 1100924 for x.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -1\/18*k**4 + 5\/27*k**3 - 1\/9*k**2 + 89 + 0*k. Determine t, given that d(t) = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydwdvvvwiv. Give prob of sequence dw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a**2 - 19*a**3 - 1524 - 33*a + 7*a**3 + 1512 = 0 for a.\nAnswer: -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - 4\/(-30). Let i = -1 - -0.7. Let q = i - 0. Which is the third biggest value? (a) q (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.2 + 17. Suppose -j - 10 + 2 = 0. Let s = j - -38\/5. Is c > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**13))\/o*o)\/o**(1\/10))\/((o*o\/(o*o**(-1\/5))*o)\/o)**(-39) assuming o is positive.\nAnswer: o**(597\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2368731*f**2*l - 1106029*f*l + l wrt f?\nAnswer: -4737462*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 29. Suppose -3*v - s + 1 = 4*f, 20 = -2*v - 3*f. Sort 3, 5, v in descending order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 16 + 10. Let f = -25 - h. Is f equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x + 45. Let a be q(4). Suppose 2*t = 3*l - 613, 407 = 2*l + a*t + 11. What are the prime factors of l?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 5*v. Let r(m) = -2*m. Let z(k) = -2*j(k) - 5*r(k). Let y(q) = q - 1. Let n(t) = -1. Let d(l) = 5*n(l) - 5*y(l). Give d(z(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-21)\/54)\/(57\/(-342)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -4, -0.09, -0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = 3*u + 2, 3*x + 4*u - 82 = 0. Let g(v) = 2*v + 6. Let w = -16 - -23. Calculate the least common multiple of x and g(w).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 268930370 and 0.5.\nAnswer: 268930370.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 522\/5 + -619\/10. What is the common denominator of j and -109\/138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570792 and 134160?\nAnswer: 3190727280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 784\/112*((-4)\/1)\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*2\/((-84)\/(-9))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273466?\nAnswer: 2, 136733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 3*j - 57 + 2*j + 49. Let l(d) = d - 6. Let k be l(6). What is m(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {y: 4, s: 8, l: 4, b: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + 0 - (sqrt(17) + -3 + sqrt(17))*-2)**2 + 3.\nAnswer: -30*sqrt(17) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*2\/8. Let s(h) be the second derivative of -1\/4*h**2 - 1\/8*h**3 - 1\/60*h**6 + 0 - 3*h - 1\/56*h**7 + y*h**4 + 3\/40*h**5. Let s(g) = 0. Calculate g.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1. Let n(j) = 5*j + 2. Suppose 4*g - x + 0*x = 0, x - 9 = -5*g. What is g*n(z) - 3*d(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 150 + 785 = -15*z - 432 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*v - 684 = 6871, 5*k - v = 7567. Calculate the greatest common factor of 68 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**2 - 10*f - f**2 + 10*f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -4509171334?\nAnswer: 4509171339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-56)*(-2)\/3. Let p = -70 + 75. Put p, c, -12 in increasing order.\nAnswer: -12, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 24*n = 0. Suppose -2*a + 53 - 5 = n. Let d(g) = g**2 + 17*g + 36. Let r be d(-15). Calculate the highest common divisor of a and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/4 of a kilometer in meters?\nAnswer: 7750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 4*g - 6. Let f be p(-8). Suppose -2*x = -4*h + 270, -2*x - 268 = -4*h + 2*x. Let t = -50 + h. What is the greatest common factor of f and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-65))\/(-12*(-3)\/45). Which is the biggest value? (a) l (b) -107 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.696 - -9.394. Let t = 11 - z. Let j = -0.08 - t. Round j to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2368680 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189287, 373859, 558429, 742997, 927563?\nAnswer: 1112127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 18*x + 66. Let y be k(-12). Let p = 139 - y. Solve 2*i + 2*s = 2, -5*i + p = 4*s - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j - 114 = -106*j + 48*j - 24*g, 0 = 4*j - 3*g + 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -252642853708 and 22?\nAnswer: 252642853730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 4 + 12*x - 23 + 3. Let b(f) = -1 - 4 - f + 3*f. Let t(z) = -24*b(z) + 5*o(z). Let a(r) = -2*r. Determine a(t(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24661412 divided by -2692.\nAnswer: -9161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -179, -2\/7, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 2*x. Let a(g) = g**2. Let p(z) = -z**3 - 10*z**2 + 10*z + 6. Let v(q) = x*a(q) - p(q). Calculate the common denominator of v(-13) and -19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 - -194. What is the highest common divisor of 33 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.03 + 0.07. Let z = g + -16.1. Let x(u) = u**2 - u - 3. Let i be x(3). Which is the second biggest value? (a) z (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(-1 + 1 + o) + 40*o + 21*o - 43*o - 8)*(3 - 1 - 1)*(3 - 2 - 3).\nAnswer: -34*o + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -2*n - 3, -20 = 4*n. Let m be (-876)\/(8\/o) - -3. Suppose -5*s + b + m = -334, 0 = -3*b - 3. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1953.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 33*z + 35. Let n be r(10). Find the third derivative of -q**n + 39*q**6 - 1823*q**2 + 2*q**3 + 1797*q**2 - 2*q**3 wrt q.\nAnswer: 4680*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 320 in 1\/9, -0.36, -7, 0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10789514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 232, 211, 188, 163?\n\"Answer: -n**2 - 18*n + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24)*684\/24)\/(11\/22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3273, -12923, -29019, -51573, -80597, -116103, -158103?\nAnswer: -206609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84740*c = 84802*c - 1488 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -10*f + 17\/6*f**3 + 0 - 1\/6*f**4 + 1\/60*f**5 + 0*f**2. Let i(j) be the second derivative of y(j). Determine i(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/12)\/(36\/2187*-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*d + 3570 - 3670. Let u = 12 + -21. Put d, u, -4 in increasing order.\nAnswer: u, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 11605578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 146*c**3 - 35*c**2 + 10*c - 4031. Let j(y) = -44*y**3 + 11*y**2 - 3*y + 1343. Give 10*j(p) + 3*r(p).\nAnswer: -2*p**3 + 5*p**2 + 1337","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*h + 709, -3*h - 186 = w + 4. Let o = -165 - w. What is the remainder when 62 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f - 12*f + 143*f + 21*f.\nAnswer: 213*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**2*s - 4*o**2 - 3*o*s + 282*o + 601*s - 430 with respect to o.\nAnswer: -6*o*s - 8*o - 3*s + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = n + n. Suppose -n*m + 18*m - 4 = 0. Do m and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h + 4*h. Let j = -19 - -29. Let x be 2\/4*(-4)\/j. Do x and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (1*sqrt(128)*2)\/sqrt(4))*3.\nAnswer: 30 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 16*w + 0*w = 75, -4*t - 2*w - 14 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + z - 55. Give n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + (sqrt(3) + 2)**2 + sqrt(3))*3*6.\nAnswer: 54 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 27 = -7*r. Let l(n) = 5*n - 5*n - 2*n**r - 6*n**2 - 2*n + 3 + 3*n. What is the units digit of l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(15\/(-4) - -3). Let v be 1 - (h - (-1 - 0)). Solve 0 = -v*q - q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/19 + 1574*z\/19 + 656 = 0. Calculate z.\nAnswer: -779, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63766 is divided by 1181?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**2\/2 - 406. Let z(r) = -2*r + 1. Give -4*u(d) + 5*z(d).\nAnswer: 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 25. Let a be b(7). Suppose g = 4*t - 36, 0 = 2*g - 4 - a. What is the smallest common multiple of 126 and t?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11742\/15 + 4\/40*2. Is (-10 - -19 - 10)*o\/(-1) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*o**2 + 1 - 3*o**2 - 1.\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1813, 1811, 1811, 1813?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399222 - -399225. Let q be 96*1*1\/2. Solve -q*g = -45*g + n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/217, 3\/7, -1\/3, 0, -1 in ascending order.\nAnswer: -1, -1\/3, -6\/217, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a - 52*a + 200*a - 41*a - 54*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -192 (b) 1\/4 (c) -2\/1859 (d) 1\/8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/36*-3*-7*(-3)\/84\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (189 - 189 - 165*p**2)*(-12*p - 13*p + 28*p + 3) as j*p + b*p**2 + r + g*p**3 and give b.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/12)*b)**(-2\/7)*b**(2\/37)\/b**(-2\/39) assuming b is positive.\nAnswer: b**(-1375\/6734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11344, 45374, 102076, 181438, 283448, 408094, 555364?\nAnswer: 725246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7)**48*(i**(-2\/5)\/i)\/i**18 assuming i is positive.\nAnswer: i**(1823\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 - 3*h - h**3 - h + 5 - 2*h. Let y = -10 - -8. Let z = y + -4. Calculate d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 42 - 93 = 0. Let o be (2 - 0)*(-15 - a). Solve 5*n + 2*w - 5*w = 0, 4*w = o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1414424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -878\/29 > -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -1 (c) 3\/14 (d) 0.3 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-8 - (-10 - 1) - -7) + 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10651 times -183.7\nAnswer: -1956588.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380844 and 169264?\nAnswer: 1523376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = -5*p. Let u(o) = -5 + 3*o + 0*o - 4*o - p. Let t = -2 - 3. What is u(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2*f**4 - 5*f**3\/3 + 3*f - 18. Let q(t) = -t**3 - t**2 + 1. What is -d(j) + 5*q(j)?\nAnswer: 3*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42*212\/16695)\/((-2)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 5. Let h(y) = -y + 10. Let a be h(7). Let j be f(a). Solve 4*k - k - 12 = 0, 2*k = -j*c - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 116.67?\nAnswer: 583.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l + 3*o - 3, 0 = -4*l - 5*o + 6. Suppose 2*h + 5*g - 2 = -25, 0 = -3*h - 5*g - 22. Sort l, -4, h in descending order.\nAnswer: h, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z**2 + 5*z + 1. Let s be b(-1). Let u be (44\/(-12) + 2)\/((-2)\/s). Sort u, -4, -2 in descending order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - 2*p)*(-4 - 1 + 2)*((-7*p + 3*p + 3*p)*(3 - 5 + 0) - 3*p + 6*p + 0*p - 2*p + 2*p + 2*p).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**25\/(o**(7\/6)\/o*o**(2\/13)) assuming o is positive.\nAnswer: o**(1925\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-845)\/(-52))\/(6\/(-8) + 1). Suppose 12 = 4*n - 0*n, -2*x + a = 5*n. Suppose 2*j + 0*j = 136. What is the remainder when j is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebeb when four letters picked without replacement from {e: 3, v: 2, b: 3, n: 1, o: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 227? (a) -4 (b) -6\/11 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 130 = 5*g, 4*n - 100 = 5*g + n. Let j = 17\/100 - 687\/100. What is the common denominator of g and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 80\/9 (c) -0.073 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 1.47. Let j = 0.1 - -0.6. Let o = j - q. Which is the closest to o? (a) 5 (b) 2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -73*a**5\/5 + a**4\/6 - a**3\/6 - a**2 + 2*a. Suppose -s = -4*g - 3*s - 6, 2*g + 2*s + 4 = 0. Is l(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((18\/20)\/((-66)\/55))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -42. Suppose -2 = c*b - 4*b. Let o be b\/25*375\/100. What is the third smallest value in 1\/5, 2\/13, 2\/17, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079*z + z**3 - 3*z**2 + 24*z**2 - 21*z**2 - 2*z**3.\nAnswer: -z**3 - 1079*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5440*v + 59922. Give x(11).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0 + 0 + z) + (24 - 41 - 32)*(2*z + 2*z - 3*z)*(-5 + 0 + 3)*(-3 + 1 + 4).\nAnswer: 197*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i + 22*i - 2352. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -32, -24, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000235971664 to 7 decimal places.\nAnswer: -0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 2, l: 1, z: 1}. What is prob of sequence lvz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 0*t + 8 = 0, -5*t = -2*s + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 46. What is the remainder when j is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8508, -114.\nAnswer: -8508, -114, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 7*m - b - 321, 0 = 2*m - 3*b - 323. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3704 (c) -1\/4 (d) -4 (e) 1 (f) -11 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1179 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 5 (c) -3\/64 (d) 3 (e) -5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2438 + 53701\/22. Calculate the common denominator of 73\/18 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -15.374.\nAnswer: 6.1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 63 (b) 0 (c) -21 (d) 1\/9 (e) -10.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 61\/26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -244. Let m = 229 + a. What are the prime factors of m?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-10*h**3 + 15*h**3 + 4 - 9).\nAnswer: 10*h**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/300)\/(537\/(-49225)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.978 milligrams to nanograms.\nAnswer: 293978000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 + 4*u**3\/3 + 5*u**2 + 10*u + 1. Let w be r(6). Let d(a) = -8*a + 4. What are the prime factors of d(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 417, 594, 97, -1410, -4263, -8798, -15351, -24258?\n\"Answer: -56*a**3 - a**2 + 572*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 2*c + 1. Suppose 4*s - 3*s - 3 = 0. Suppose 4*z = -9 - s. Give n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/(-12))\/((-15)\/20). Solve 3*n + 3*y = 0, y + 10 = -a*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (197\/(455070\/(-220)))\/(1\/(-483)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26\/(-2613))\/(260\/(-14205)). Let v = -11\/134 + h. Determine m so that 6\/13*m**3 + 2\/13*m**4 - v*m + 2\/13*m**2 - 4\/13 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - (-8194)\/483) + (1 - 9). Let q be 0 - (-40)\/(-46) - -1. Let j = q + n. Which is the third smallest value? (a) 2 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 675*p**3 - 679*p**3 + 0*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/35, 11, 1\/71, 1\/3, 1, 4 in descending order.\nAnswer: 11, 4, 1, 1\/3, 1\/71, -6\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1259 + -450. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.2, 9\/4, 4, 97, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28250336 != 28250337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-12))\/((-5)\/(-9)). Let o = x + 11\/20. Let y = 0 - 1. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (0 + 77\/28)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17788?\nAnswer: 2, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-646)\/(-95) + (-1)\/(-5). Suppose -f*m + 24 = -46. What is the tens digit of (-5)\/(m\/(-332)) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477095698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a)\/(a\/a**(2\/9))*a**(-4)\/a*a*a*(a*a**(-5)*a)\/a*a assuming a is positive.\nAnswer: a**(-251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 229, 343, 459, 577, 697?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*x + 106, -2*o - 124 = -5*o + 4*x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - (101 + -64 + 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 56. Solve -8*g + 26 = -3*l - 3*g, -p*g + 20 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 703 - 700. Sort 6, -8, r, -0.1 in increasing order.\nAnswer: -8, -0.1, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*z = 20*z - 17*z - 92 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4) + 5 - (-38026)\/5580. Let i = r - 32\/279. Find the common denominator of i and 97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 3*y - 81657, -5*o - 5*y + 22282 = -23123. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6169 - (7 + (-13 - -10)*(-3 + 7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 82. Let q = r - 26.00009. What is q rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 1554.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 249613 = y, 233*y - 83211 = -j + 235*y. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1504415 + -51?\nAnswer: 1504364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let j(c) = -3*c**2 + 2*c + 2. Let n be (-73)\/(-3) - (-3 + (-40)\/(-12)). Let p = 25 - n. What is p*j(z) - 2*l(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3255)\/(-70)*(-104)\/(-6). What is the highest common factor of 186 and v?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1336.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eewwellywellwlelel. What is prob of picking 1 w and 2 l?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3518+0.190761956\nAnswer: -3517.809238044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 963581 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 3, s: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 + 100 - ((-9 - -1) + 2) - 177?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 2. Let u(o) = 3*o - 4*o + 0*o. Let v(g) = -f(g) + 2*u(g). Is 9 a factor of v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehjhejbbjebbh. What is prob of sequence bjje?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021020112222 + -20?\nAnswer: -2021020120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 + -40. Let t = q + -109. Let f = t + 13. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 95446.24 hours?\nAnswer: 343606464000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46079 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22\/7, -3, -2\/7, -1\/2, -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831003 is divided by 199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342 by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27296400367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8083962979.4019902 - 8083962177. Let k = 802.41 - w. Let g = k + -0.008. Round g to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273403884?\nAnswer: 2, 3, 13, 179, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 186025, 186017, 186003, 185983?\n\"Answer: -3*l**2 + l + 186027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 614.5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6783504 and -115\/1638.\nAnswer: 20350512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/66 and -86\/429.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*z + 10424, 732*z = -3*a + 727*z + 31184. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/10 + 91*u**2\/10 - 1012*u\/5 - 1058\/5.\nAnswer: -(u - 46)**2*(u + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108605798 a multiple of 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 72 = -7*h. What is the common denominator of 1235\/(-630) + 12\/(-28) and h\/(-32)*66\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -4. What is the common denominator of 1*z\/(-12) - 13 and -75\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -16, -9, -2?\n\"Answer: 7*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-28)\/(-35))*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508757?\nAnswer: 59, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 + 2554774?\nAnswer: 2554737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451140838?\nAnswer: 2, 225570419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 49. Suppose -2*d + 170 = -5*n, 4*d + 6*n - n - 340 = y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -22*z**4\/3 - 26698778*z**3\/3 + 31553128*z**2\/3 - 4854328*z\/3 = 0?\nAnswer: -1213582, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*z = -531*z + 2016 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/3*(8 + -24185)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181920 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -52, 0, -0.4, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/203 or -292?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1258 + -a2?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1541531\/135 - -11419. Let i be 0 - ((-4567)\/(-270))\/(-1). Let o = i + g. What is the common denominator of 27\/7 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4987 is divided by 1659?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -599025?\nAnswer: 599023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = 15*n + 58 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccococmmcoqm. Give prob of sequence qco.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x = 60*x - 72740 - 248630. What are the prime factors of x?\nAnswer: 5, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 11:59 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Suppose 4*t = -i - 3 - 6, -3*i + 2*t = -15. Which is the nearest to 0? (a) -0.2 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -8)\/1*(3 - -2). Let p(z) = h*z - 56*z + 30*z. Let l(j) = 414*j**2. Calculate p(l(b)).\nAnswer: -414*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.6 - 3.6. Let c = x + -16.2. What is the closest to c in -3\/2, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 472*i + 3799. Let g be p(-8). Solve 0 = -a - 3*y + 16 - g, -y - 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682128 divided by -682128.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1528 + 1643. Is 125 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000181602 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-6)\/(-10) - (-61 - -66).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**3 + 7*u**3 + 5 + 14*u - 7*u**2 - 3*u**2. Is m(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 64, 103, 126, 115, 52, -81, -302?\n\"Answer: -3*j**3 + 19*j**2 + j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/33*-1*120\/(-10)*(-43)\/16?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -11 - -1 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*t - 1 = 3, -3*k = -5*t + 20. Suppose -3*y = -5*y + 4*a + 8, 3*a = 5*y - 13. Sort -2, y, k, 0 in descending order.\nAnswer: y, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 561 = 35*o + o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*a + 64*a - 20. Let j(x) = 3*x**2 - 2*x**3 - x**2 + x**2. Let r(f) = 3*f**3 - 3*f**2. What is a*r(q) - 5*j(q)?\nAnswer: -2*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 393 = 463 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 95, 3\/5 in decreasing order.\nAnswer: 95, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4166194 and 370791266?\nAnswer: 370791266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 8*w**2 - 3*w - 38. Let x be 378\/(-36)*4\/6. Calculate the remainder when 46 is divided by p(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -6 - (-2)\/(-2). Suppose 4*m + i - 44 = -0*i, 0 = 2*m + 2*i - 28. Let v = m + t. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8247182125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 396420 divided by 39642\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-12) - 14\/(-6). Let y(f) = -f + o*f + 0*f. Let a(w) = 15*w**2 + 11*w**2 - 27*w**2. Give a(y(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from vtvtvvtvttvttvvvttv?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -363*o + 7627. What is w(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 3*n, 5*m + n + 5 = -1. Let j be (-5 + m)\/(6\/(-3)). What is the third derivative of -f**3 + 2*f**2 + 5*f**j + 2*f**3 - 4*f**3 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2 - 68977*g + 1102091. Determine d(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-7) - (-102)\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 103012101?\nAnswer: 103012103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**5 + t**4 + t**3 + 1. Let f(h) = -2*h**5 + 29*h**4 - 31*h**3 - 12*h**2 + 38*h - 15. Let x(g) = 2*f(g) - 2*p(g). Let x(n) = 0. What is n?\nAnswer: -1, 1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178*0.2.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*v - 31*v. Factor 0 - 4\/3*b**3 - 14\/3*b**4 + v*b + 0*b**2.\nAnswer: -2*b**3*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7 + 18 + 0 + z. Let o be i(-21). Factor -y**2 - 4*y + y**3 + 28*y**o - 29*y**4 + 5*y**2.\nAnswer: -y*(y - 2)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose a + b*a = -2*v + 66, -3*a + 62 = 2*v. Let j be v\/12 - (4 + -1). Is 0 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from qnnnvqnnvnpvphqnvpnv.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 - (17 - 20) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 + 126. Let i be (-1)\/3 - r\/(-54). Factor 2\/9*f**4 - 2\/9 + i*f**3 - 4\/9*f + 0*f**2.\nAnswer: 2*(f - 1)*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-97)\/(-3 - 15\/(-6)).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 2*v - 4*v + 2223*v + 2507*v - 4290*v + (2 + v - 2)*(4 - 1 - 2) to the form u*v + b and give u.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -24. Let t = -14 - r. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u + 2*u)*(169 - 51 + 55).\nAnswer: 692*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 25*z - 30 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1700) + -3*sqrt(1700)*5)*2.\nAnswer: -280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*k + k**3 + 5*k + k**2 - 4*k**3)*(2 - 1 + 0)*(-k + 2*k + 3*k) to f + x*k**2 + r*k**3 + i*k**4 + q*k and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 58. What is the nearest to o in 2\/5, 1\/2, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 153 = -3*w - k, 0 = 3*w - 5*k - 113. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863762401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 72 = 5*n, -5*x = -5*n + 80. Solve 2*b = -b - n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2) + -8*9\/(-576)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let a = 0.13 + 0.07. Let f = 1\/2693 + -5389\/8079. What is the closest to 2\/11 in o, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0 + t**2 + 2 + 0*t**2. Let x be 6\/24 + 27\/(-12) + 2. Determine m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 11. Let m = -97 - -97. Suppose m = 8*i - 11*i. Sort 0.1, u, i in descending order.\nAnswer: u, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395 + 396. Which is the second biggest value? (a) -66 (b) -2\/3 (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2902 - 2904. Let i(k) = -4*k + 1. Let r(j) = -13*j + 2. Determine d*r(y) + 7*i(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-26)\/(-104)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 29773 = -k, -4*s + 3*k + 23822 = 2*k. List the prime factors of (-12)\/18 + s\/9.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70381106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + (102 - ((-3 - (-14 - -19)) + 23)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 0*h**2 + h - 11*h - 13 + 5*h. Let d be u(-4). Let k = 141 - d. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 42*g + 203. Calculate m(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vxxxvxv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9*(-9)\/(-6). Suppose -l - 3 = -m. Suppose 0 = -2*n - f - 5, -n = m*n - 2*f - 10. Solve -4*s + 9*s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17585 - 18026.3. What is u rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.59978 nanometers to micrometers.\nAnswer: 0.07359978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmh when four letters picked without replacement from hhhmhmmhmhhmmmhhhhmm.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-87)\/(-27) + 14\/(-63))*1. Solve -8*u = -z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2965*x = -2879*x - 172 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 10.34969 years?\nAnswer: 0.01034969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m. Let i be (-86)\/(-2 + m\/(-2)). Suppose -5*p = -i - 22. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322.32 - -322. Which is bigger: 2\/7 or u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -53*m**2 - 5*m - 5. Let n(r) = -r**3 - 2*r**2 - 65*r + 151. Let a be n(2). Let y(k) = -52*k**2 - 6*k - 6. What is a*y(g) - 6*v(g)?\nAnswer: 58*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + (sqrt(78) - (1*sqrt(78) + sqrt(78)))*6)\/(5*sqrt(24)\/sqrt(4)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((3 + 2)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -38.6?\nAnswer: -15.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(5 + -6*(-1*sqrt(512) + -1)) + -5)**2.\nAnswer: 460800*sqrt(2) + 4172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 407008117 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*a + 19*a - 2*l + 1969830, -2*a + 984905 = -9*l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16401 + 1225?\nAnswer: 20626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*4\/16 - 7\/(-2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17776, -71175, -160196, -284839, -445104, -640991?\nAnswer: -872500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -391, -824, -1257, -1690, -2123, -2556?\n\"Answer: -433*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14430 + -14457. Sort -4, v, -84 in descending order.\nAnswer: -4, v, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 2*i**2 + 3*i + 1. Let h be r(-3). Let g be ((-4)\/h)\/(-5 + 7). Let q(p) = 102*p**2 - 3*p - 5. Is q(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6815\/(-24675) + 2\/6?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o)**40*(o*o**9)**(38\/7) assuming o is positive.\nAnswer: o**(7820\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 1. Let o(a) = 443*a**3 - 5*a**2 + 3*a + 5. Determine o(x) - 5*q(x).\nAnswer: 443*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + (-17374)\/(-70))*(-48)\/(-1056) + -12.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, 7, 186, 485, 910, 1467, 2162?\nAnswer: 3001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-86)\/16 - 12\/(-32)) + 7. Suppose 8 = 7*p - 20. Differentiate -13*h**b + 3*h**2 + p - 15*h**2 wrt h.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from xxxdxxqqxyqxqxxxdxyx?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.5 (c) 27 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8695\/(-74)*(-2)\/(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-88)\/(-20))\/((-10)\/(-25)). Suppose 0 = -4*c - 4*u + 44, -3*c + 2*c + y = 3*u. Let q(b) = 13*b - 16. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w\/(w*w**(-2))*w)\/w))**(7\/8)\/(w**(-4)\/((w*w\/w**(-2\/5))\/w)) assuming w is positive.\nAnswer: w**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/60307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 107249*m**2 - 2271*m. Let j(u) = 2*u. Calculate j(k(y)).\nAnswer: 214498*y**2 - 4542*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4012404 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 193416752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 + -1 + (-14 + -1 - (2232 - 2232)) - 7?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163 * 75066.9.\nAnswer: -12235904.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-21)*(-28)\/(-6). Let z be (4\/(-12))\/(2\/s). Suppose 0 - 1\/2*p**3 - p**z - 1\/2*p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169.99 times 0.7?\nAnswer: 818.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = 5*h - 5, -5*s - h + 2 = 0. Let q = 5 - s. Which is greater: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 231, 1 in descending order.\nAnswer: 231, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 37952302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**7\/840 - l**5\/120 - 7*l**3\/6 + 6*l. Let h(v) be the second derivative of j(v). Determine h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20298\/7 + -2900. Let x be (3\/6)\/(1\/(-2)). What is the third biggest value in 1\/3, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + (-1170)\/72)*(79\/237)\/(6\/(-20))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wezd when four letters picked without replacement from {z: 6, e: 7, d: 1, w: 1}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 34064*s**3 - 34061*s**3 + s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29726966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42556, 85283, 128208, 171331, 214652, 258171, 301888?\n\"Answer: 99*a**2 + 42430*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.6 + -3.4. Let j = 6 + g. Sort -1, 4, j in ascending order.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/(-423))\/((-200)\/(-90)*(-24)\/(-10) + -6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5580788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:22 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.971 + -0.029. Let y = 846008891 - 846008930.99999918. Let u = o - y. What is u rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 = 3*g, 3*s + 2 - 11 = 0. Let z(w) = -2*w**3 - 3*w**2 - 4*w + 3*w**2 - g. Let c(m) = m**3 + 2*m + 4. Calculate 9*c(r) + 4*z(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4270 is divided by 529.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6 + 13. Suppose 0 = 4*z - m - 5. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (4 - 1)) + 19. Suppose -k*c + 2394 = -0*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 11*b - 3. Give g(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/45189 and 8\/15063?\nAnswer: 45189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 6. Let w be a(0). Suppose -50 = -g - w*k + 2*k, -3*g = -2*k - 80. Suppose -2*l + 23 = 5*o - g, 4 = l. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 12*g + 13. Let s be m(-13). Suppose 3*y + v = -2, -3*v + s*v = y + 14. What is the remainder when y is divided by 1*(-3 + 6)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + (-5 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvitvbiijvbbbbj. Give prob of sequence vb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (7 - (31 + -12))) + -1 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59\/2 in -3\/2, 1, -0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23370649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + j + j)*(88*j - 6 - 7 - 86*j) as p*j + g*j**2 + k and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/41 or -2821?\nAnswer: -2821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 25*o**5\/2 + 107*o**4\/8 + 2*o**2 - 135. Find the second derivative of p(s) wrt s.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 102.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.1815 centuries in months?\nAnswer: 512617.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, h: 2, x: 6, a: 1, t: 2}. Give prob of sequence mxxm.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from {h: 2, k: 2, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284555565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u - 8 = 0. Let d be 2\/6 - (86 - 86). Let r be ((-1)\/((-9)\/4))\/(-6). What is the biggest value in d, r, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbudtnnvvttbdvbbnu. Give prob of picking 2 v, 1 d, and 1 t.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 1. Let o(g) = -6*g + 2. Let v(d) = -7*d + 3. Let q(i) = -6*o(i) + 5*v(i). Let k(n) = -m(n) + q(n). Calculate k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2859440 and -13\/321687?\nAnswer: 25734960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 - 168*h = 0. Calculate h.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45859181?\nAnswer: 45859181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2 and -131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 1, 77, -3 in descending order.\nAnswer: 77, 1, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 36.32. Let s = u + -0.5. Let g = s + 0.18. Sort g, 2, -0.5 in decreasing order.\nAnswer: 2, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028652346 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + -137 + 129 - -26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(500) - (sqrt(500) + 1 + 4))*-3 - -5*(6*1*sqrt(500) - (-1 + (sqrt(500) - (-1 + sqrt(500) + sqrt(500))))))**2 + 4.\nAnswer: 63000*sqrt(5) + 620604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(-2)*(0 - 10) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 20. Solve -r*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -42. Let r = b + -2. Sort 4, 0, 2, r in increasing order.\nAnswer: 0, 2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35612 times -5.91\nAnswer: 2.1046692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 12 = 0. Let y = 136 - 267\/2. Which is smaller: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 11*m**2 - 18*m + 6. Let z be w(-9). Find the third derivative of -s**6 - z*s**6 + 18*s**2 + 14*s**2 wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022503968 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 18 = -8. Suppose -w - 16 = -x*w. Solve -3*o = -k + 2*k + 8, -o + 6 = -w*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 732108 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8343, -9203, -10585, -12447, -14747, -17443, -20493, -23855?\n\"Answer: 7*a**3 - 303*a**2 - 8047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a + 6 = 32*a. Solve 2*k + 10 = 5*l - a*l, l - 8 = 2*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403339284 a multiple of 3438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -5111, -13159, -24425, -38909, -56611, -77531?\nAnswer: -101669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002848 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-9*12\/(-24)). Suppose 0*x + 3\/4*x**t + 0 - 3\/4*x**3 - 3\/2*x**2 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/6)\/(2\/(-4)) - (-55)\/35. Let v = 3.22 + -0.22. What is the nearest to -0.1 in q, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 373842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.3 (b) 44 (c) -1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 52 + 104. Let p = -3485\/9 - -386. Calculate the common denominator of p and 4\/(-6)*n\/(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3891*p + 431723. Give b(111).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l + 30*l + 13*l - 49*l + 28*l.\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 507 and 509 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from mzfmfnmmmaf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -360 + 376.24. Let i = v + -14.7. What is i rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + 0.24. Let d = 0.19 - k. What is the biggest value in 0, -1\/4, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 98*t**2. Let a(o) = -2*o. What is a(i(b))?\nAnswer: -196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 - 2) - (10 - 16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 + 10 - -1. Suppose 4*s - j = 24. What is the remainder when s is divided by (-1)\/((-2)\/(-8)) - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/14)\/(30\/(-81980)). Let c be (-6)\/(-9) + (-34678)\/6. Let s = f - c. What is s rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -4\/9 (c) 3 (d) -0.2574 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26087 + 39974. Which is smaller: o or 13886?\nAnswer: 13886","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + o**4 - o**4)*(0 + 9 - 2)*(-2 + 1 - 2).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-5\/11)))\/b*b**(-1\/5) assuming b is positive.\nAnswer: b**(-41\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28890 is divided by 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28243, 56342, 84475, 112660, 140915, 169258, 197707, 226280?\nAnswer: 254995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360 - 137*n - 126*n - 157*n + 56*n - 4*n**2.\nAnswer: -4*(n + 1)*(n + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 7. Let g(h) = 187*h**2 + 15. Let i be g(0). What is the nearest to i in 3, v, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + (-8 - 84 + 3)*(5 - 3 + 0))*(w**4 + 2*w**4 - 4*w**4).\nAnswer: 176*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - u**2 - u**3 - 56 + 56 in the form i*u**3 + z + k*u**2 + j*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912309 is divided by 1803.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (29\/(-3) - 3)*132\/(-8). What is the common denominator of (414\/15)\/((-9)\/2) and v\/108 + (-6)\/8?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21709 divided by 2056.\nAnswer: -21709\/2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.07 - 0.07. Let x(r) = r**3 + 17*r**2 + 4*r + 73. Let s be x(-17). What is the third biggest value in m, s, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -242*f**2 + 8*f + 10. Let n be j(5). Let b = -703 - n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, v: 4}. Give prob of picking 3 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23456644 divided by 101?\nAnswer: 232244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))**10*h\/(h**4*h)*h*h*h**(-8))**(16\/5) assuming h is positive.\nAnswer: h**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.6. Let y = -1.4 + t. Which is the nearest to y? (a) -4 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-34)\/60*3\/(-6) and 97\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 + 9211*f**3 - 198 + 863.\nAnswer: 9211*f**3 + 783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) 18 (d) -8.3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*(1 - 1))\/2. What is the common denominator of 21077\/504 + -27 + -14 and z + (-2 - 94\/(-12))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 = 186*m - 255*m. Solve m = 24*x - 18*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*n - 2*c**3 - 45574*c**2*n**2 + 16*c**2 + 1428 with respect to n.\nAnswer: -3*c**3 - 91148*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634902 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: Work out 478 * -0.074757.\nAnswer: -35.733846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7217183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5337.6786 seconds in days?\nAnswer: 0.0617786875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1844342697 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 14. Let h = 28 - q. Solve 0*c + 3*c = h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-10*(-1)\/20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26734 is divided by 189.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aca93 (base 14) to base 11.\nAnswer: 5a4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38898517 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110242 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: Suppose -3*a + 12 + 3 = 0. Let m = -20 - -16. Let h(n) = n**2 + 3*n + 1. Let o be h(m). Solve o*p - 3*t + 15 = p, -12 = a*p + 3*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9274 + -9280. Sort 34, 3\/11, q in ascending order.\nAnswer: q, 3\/11, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/11*((-1792)\/(-480))\/(-56)\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.05 (b) 0 (c) 0.06 (d) 0.03 (e) 11 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 91\/2 of a milligram?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192942 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1667 less than -0.812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -3\/2*s**2 - 5*s + 1\/6*s**3 + 1\/20*s**5 + 0 - 1\/12*s**4. Let r be n(2). Solve 2 = -r*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1250, -11, 4, -219, 5 in ascending order.\nAnswer: -219, -11, -4, 4, 5, 1250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 18. Let q(g) = -g - 6. Give 3*h(c) - 8*q(c).\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5930*d - 1694346. Give n(-301).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2516 and 41939?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2018 and -13159509.\nAnswer: -13161527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -523, -1182, -2115, -3328, -4827?\nAnswer: -6618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.15961 minus -6?\nAnswer: 1.84039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 9. Suppose x = -c*x + 12. Suppose x*l + 2 = u + 36, 2*l - 31 = -u. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5dc992 + 47?\nAnswer: -5dc949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 5 + 2*n - 1\/4*n**4 - 2\/3*n**3 + 3*n**2. Suppose 4*i - 5*u + 1 = 0, i - 2*i + 3*u = -5. Determine k(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -673, -5368, -18093, -42862, -83689, -144588, -229573, -342658?\n\"Answer: -669*n**3 - n**2 - 9*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/4*((-18)\/90)\/((-3)\/(-15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 + 219. What is the remainder when i is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 34\/4*-2. Let y(a) = m*a**2 + 6 + 2*a**2 + 79*a**2 - 4. Does 16 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(-148*j - 2*j - 2*j)*(17 + 8*j**2 - 17).\nAnswer: 1216*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30241.4 + 30211. What is the third smallest value in z, -11, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51704332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-seven quarters of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 199?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (46\/69)\/(2\/60). Suppose -2*i - 33 = -3*x - 1, 5*i = -5*x + z. Calculate the smallest common multiple of x and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 13708246\nAnswer: 2741649.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -8, -1078, -3, 7 in ascending order.\nAnswer: -1078, -72, -8, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 6:34 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 7. Suppose -3*v + 28 = -7*v. Let p be s(v). Suppose 8*w - 7*w = 18. Solve -2*g = -5*a - w, p*g + 6 = g - a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11827202669 + -474\nAnswer: -11827203143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1470854 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-765)\/(-33) + (-10)\/55. Differentiate -115 + 139 - x*b**2 - b**3 - 98 wrt b.\nAnswer: -3*b**2 - 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 14, r: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 41*o**2 + 13*o. Let y(u) = u. Calculate y(w(a)).\nAnswer: 41*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207570651?\nAnswer: 3, 69190217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1998 (base 12) to base 4.\nAnswer: -301010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08158368 - -960.\nAnswer: 960.08158368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 6*l - 10. Calculate k(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 73, 158, 277?\n\"Answer: 17*g**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.1\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 12)*5\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) -0.14 (c) 1\/5 (d) 5 (e) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2. Let p(n) = 144*n. What is w(p(j))?\nAnswer: -62208*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 59*h**2 - 13*h + 19. Let l(a) = -29*a**2 + 6*a - 9. What is 6*b(u) + 13*l(u)?\nAnswer: -23*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 17*b**2 - b + 40. What is the remainder when 68 is divided by f(17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1154138*w**3 + 5*w**2 - 2*w - 13811 wrt w?\nAnswer: -6924828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*z - 77 = 4*k - 297*z, 0 = -4*k - 4*z - 80 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3127*l + 2*l**4 + 1196*l - 2101*l + 36*l**3 + 286*l**2 - 4*l**4 - 25088 = 0. Calculate l.\nAnswer: -7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 2. Let r(f) = 5*f - 4. Let m(g) = 3*r(g) - 7*z(g). Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 298 = -5*n - 0*y, 5*n - 5*y - 310 = 0. Suppose -n = 2*r - 7*r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhh. What is prob of sequence hy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - k + 1. Let o(z) = -z**2 - 4*z + 1. Let l be o(-4). Let v(y) = 2*y + 1. Let a be v(l). List the prime factors of d(a).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 15*m = 90 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3876888*f**5 - 1343387*f**2 + 2 wrt f.\nAnswer: -232613280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3 - 166812*y**2 + 26934981*y + 27101790 = 0?\nAnswer: -55765, -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 4*k)*(-k - 3 + 3) + (12 - 3 + 0)*(0*k**2 + 15*k**2 - k**2) + 2 - 2 - 3*k**2.\nAnswer: 124*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7512203 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y + 6*y)*(-35*y + 7273 - 15*y - 7253).\nAnswer: -550*y**2 + 220*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-3))\/(4\/(-3)*270\/(-1080)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5571*g + 5560*g - 11112*g - 266 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4040 (base 6) to base 13\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 5\/6, 2\/11, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 17.69.\nAnswer: 17.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + -ea?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -4*d - 5*m, -2*m = 4*d - 20. Suppose 5*v - 3*t - 2 = -t, v - d*t - 5 = 0. Solve -y = -v*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -4, -4\/3, 65\/47?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54625040 * 0.3.\nAnswer: -16387512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -27. What is the second derivative of -18 + r - y + 4*y - 7*y**4 wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b + 1. Let v(s) be the first derivative of -3*s**4\/4 - 5*s**3\/3 + 5*s**2\/2 + 5*s + 10. Give -5*g(n) + v(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*((-189)\/(-14))\/(-9) + 8. Let y(k) = -k + 6 - 8 + 14. Let b be y(9). Solve b = o*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737927 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/52 - 2392291\/(-286))*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -j + 15. Let v = 217 - 142. What is the highest common factor of v and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16677 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 26 = 58 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 34. Let v(o) = 3*o - 34. Let q(l) = -3*b(l) + 2*v(l). Let r be q(11). What is the common denominator of ((-6)\/(-14) - r)\/(18\/(-609)) and 19\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 + 226 = -7*x + 124. Solve x*z = -12, b = 2*z - 217 + 224 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37309034706 and 2.7?\nAnswer: 37309034708.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -986 - 438 = -16*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 3*n**2 - 4*n. Let t(v) = v**3 + v**2 + v. Let o(y) = q(y) + 3*t(y). Let c be o(1). Solve 5*f - h - 4*h = -25, c = 2*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - s + 3 + (-6*s + 7*s - 5*s)*(-5 + 0 + 3) + (2 + 0 - 5)*(-2*s - s + 0*s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:16 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 38942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)\/(a*a**(-6))*(a**1)**(-32) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 4\/5, 75 in decreasing order.\nAnswer: 118, 75, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/32390 and -63\/26465.\nAnswer: 2170130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 151 = -3*h - 20, 4*h = -u + 36. Suppose -w + 3 = r - 3, 5*r = -3*w + u. Suppose r*t = 6*t + 2. Sort t, 3, 1.\nAnswer: 1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/28 of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 23*u**3 + 4*u**3. Let a be n(-1). Let t be (1\/(-2))\/((-3)\/a). Solve -6 = -4*f + 3*k, -f + k + 7 = t*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13721894 * -3\nAnswer: 0.41165682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266746*t**2 + 16*t + 266755*t**2 + 1 + 289*t)*(2*t + 2 - 2)*(-3*t - 1 + 1).\nAnswer: -54*t**4 - 1830*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29194.906 and -3.6?\nAnswer: 105101.6616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 5333694?\nAnswer: -5\/2666847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 2*b**3 - 10*b - 9*b + 2*b + 7.\nAnswer: -2*b**3 - 9*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000332879 to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/925508 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 46077*i - 124 + 32 + 57)*(-1 + 1 - i).\nAnswer: 46077*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, -204, 60 in decreasing order.\nAnswer: 60, -204, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 41. Give c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*-2)\/sqrt(8) + sqrt(36))\/(sqrt(12) + (sqrt(12) - -1*sqrt(48))) - -2*((2*sqrt(3) + 1 - sqrt(3)) + -2*sqrt(6)\/sqrt(2) + sqrt(3))) + 4.\nAnswer: -sqrt(3)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 1333458.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*o + 12*o**3 + 613*o - 63*o**3.\nAnswer: -51*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*z + 3, -2*x - 2*x = -12. Suppose 7 = -z*q - 5. Put -5, -1, q in ascending order.\nAnswer: -5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163*w**3 + w**2 + 43*w wrt w?\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Let m be (-1)\/2 - (-123)\/u. Solve 4*z = -2*q + 3*q + m, 4*z = -4*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 - 107 - 60 + 5*b)*(3 - 3 - 2).\nAnswer: -10*b - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewo when three letters picked without replacement from {e: 3, a: 4, w: 3, o: 6, n: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(30\/3))\/(1\/(-246)). Let o = n - -126. Let g(v) = -4*v + 2. What is the remainder when g(-2) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8662.9 - 8663. Which is bigger: j or 6800?\nAnswer: 6800","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -896623*j**3 + 266440 wrt j?\nAnswer: -2689869*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/8)\/((-2970)\/(-3960))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135 + -34?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 378?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*a**2*k*m - 5*a**2*o + 7*a*k*m - 2*a*k + 8*a*o + 2*k*m*o + 3*m*o wrt a.\nAnswer: 50*k*m - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/6 + 31*r**4\/6 + 8*r**3 + 9*r**2\/2 + 18*r + 2. Let i(l) be the first derivative of q(l). What is v in i(v) = 0?\nAnswer: -12, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2402 - -2603.77. Let q = 208 - j. Round q to one decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - z + 1. Let n(k) = 3*k**2 + 3 - 4*k**2 - 3. Let j be 6 + (5 - 12)*(1 - (0 - 0)). Determine j*i(b) - 4*n(b).\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 504 + -117. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -c + 5, -59*z + 56*z + 0*c = -2*c - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - c = -10, 30 = -263*q + 262*q - 5*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165625 is divided by 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.125 + 34.\nAnswer: 33.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -102 + -0.1\nAnswer: -102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.17 and -2?\nAnswer: 90.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 12*u - 15.\nAnswer: 3*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 a factor of 419895845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 38 = 4*c, -4*c + 17 = 4*b - 51. Let f = -42 - -57. What is the greatest common factor of b and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-12))\/((-5)\/(-6)). Let v = -10\/143 - -775\/858. What is the third biggest value in v, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.389886 micrograms in nanograms?\nAnswer: 4389.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25120620 rounded to the nearest one hundred thousand?\nAnswer: 25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3481330 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 + 73 + 8*f**2)*(6 - 2 - 5) + 0 - 1 + 2 - f**2.\nAnswer: -9*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*i**3 + 4*i**2 - 11?\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.7 (b) 5 (c) -4 (d) -2\/5 (e) 229 (f) 16\/3 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -345826 rounded to the nearest 100?\nAnswer: -345800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-25)\/(-20)*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 37 = -2*o. Let y be o\/(-12) + 8\/(-12). Is -26\/3 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 112718791046337 and 0.1.\nAnswer: 112718791046337.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 319.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = 2*j, 4*p + p = 3*j + 3. What is the least common multiple of j and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12239238 and 51414.\nAnswer: 232545522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -23. Let j(a) = a**3 - 12*a**2 - 8*a - 23. Calculate the common denominator of (-62)\/10 + 4\/(-10) and j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -1.2. Let k = y - 3. Let g = k - -6. What is the nearest to 1 in -0.4, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 - (3 - 4) - (-41 - -38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 501384*z**2 - 3008218*z + 3509604 = 0. What is z?\nAnswer: -250686, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 55*l - 358. Give w(-44).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) -4 (c) 0.84571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 3*t - 60. Calculate the remainder when 99 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131*h - 9633 = -1751*h + 7727 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 18. Let p be 3 + (8\/f - 4). Sort 14\/3, p, 3 in decreasing order.\nAnswer: 14\/3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adxn when four letters picked without replacement from {d: 5, a: 3, s: 5, n: 1, x: 2}.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 488992*c - 5379033.\nAnswer: (c - 11)*(c + 489003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 38 - 56 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57179602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12528 and -35\/54.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 158*m**3 + 9*m - 1. Let c(k) = 631*k**3 + 38*k - 5. Give -2*c(g) + 9*p(g).\nAnswer: 160*g**3 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000996424567 rounded to 6 dps?\nAnswer: 0.000996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 15*o + o - 1 + 1 + (-1 + 0 - 1)*(-2*o + 3*o + o) + 4*o + o - 4*o)*(-o**2 - 2*o**3 + o**2).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -43*m - 5. Suppose 2 = -2*i - 2*c, -4*i + 3*i + c = 1. What is the remainder when t(i) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50937781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027634459 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 44 = 5*c, 3*b + 2*b + 2*c = -38. Let j(s) = -s**2 - 8*s - 4. Give j(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + -139 + 132\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqqzqqqzq.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 331219 in ascending order.\nAnswer: -4, 2, 331219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = 2*s. Suppose 0 = -4*k - 3*y - 37, 4*y + 6 = 3*k - s*k. Let t be 55\/(-2)*16\/k. Calculate the greatest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 922, 891, 840, 769, 678, 567, 436?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfvxvoe. What is prob of picking 1 f and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/25)\/((-3)\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.4 + 15.4. Which is the nearest to i? (a) -0.4 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-6) - 4\/(-2). Let y(j) = -9*j - 3. Is 8 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 4*c - 49. Let i(s) = -s**3 - 6*s**2 - 6*s - 6. Let b be i(-3). Let y be x(b). What is the common denominator of (-64)\/24 + 2 + y\/18 and 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 2626\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehphhe. What is prob of picking 1 p and 1 h?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5 - 18016*n**4\/9 - 1247732*n**3\/9 - 7886008*n**2\/3 - 1141088*n = 0.\nAnswer: -422, -39, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -5, -1, 9, 25?\n\"Answer: 3*d**2 - 11*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1036232 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.09 at least 66.313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + d**3 - 2*d**3 + d**4 + d**4 + d**4 as g*d**3 + w*d + c*d**2 + k + l*d**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300.393 centimeters in nanometers?\nAnswer: 33003930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 17 = -4*g, g + 2*q + 413 - 420 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(95)*6)\/((-1*sqrt(35) + sqrt(35) - sqrt(35))\/sqrt(7)).\nAnswer: 4 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnw when three letters picked without replacement from ccwwcfwfmcwdwnf?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1330\/(-40) + -8)*(-12)\/(-40) and -48\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0418986 and 396?\nAnswer: 16.5918456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2265, 2, 2\/29513.\nAnswer: 2\/29513, 2\/2265, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(209\/(-104) + (-12)\/(-6)). Calculate the greatest common divisor of 26 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:43 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = y - 0, 3*y - 17 = -5*w. Calculate the remainder when 329 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by 120?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1655 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -d, d - 16 = -5*g - 3*d. Solve 2*i - 2 + g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/5*(-3810)\/(-1016).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodoodddro. Give prob of picking 1 r and 2 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1537324 divided by -4\nAnswer: -384331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81343807 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 2. Let z be g(-4). Let r(o) = 6*o + 38. Let x be r(-6). Let m = x + z. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -95*m**2\/2 - 50*m - 54. List the prime factors of y(-7).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*o - 11, 5*f + 3 = 4*o - 0. Suppose -150 = 5*c + 4*u - 763, -3*u - 259 = -o*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1105728076 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + -165. Let a = -151 - l. Calculate the remainder when a is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28224 divided by 196.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377511?\nAnswer: 3, 19, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199769 - 0.3.\nAnswer: -199769.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 21*f**2 - 21*f - 24. Let v(s) = -s**3 - s**2 - 1. Let b(y) = -g(y) - 2*v(y). What are the prime factors of b(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13605\/2356 + -309\/589. Factor 45\/4*b**2 - 3\/2*b**3 - 9\/2*b - i.\nAnswer: -3*(b - 7)*(b - 1)*(2*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/90*-12 + 2\/(-6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 40*h = -44*h - 1142, l = 5*h + 544. What is the greatest common factor of 874 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13112?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*h + 43*h - 434*h)*(0 - h**3 + 0) + (-2*h + 5*h + 0*h)*(-1 + 1 - h**3) to a*h + u*h**2 + w*h**4 + k*h**3 + s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-11 - (1 - 4) - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2545*o**5*u**3 + o**3*u**3 + 2*o*u**3 + 7*u**3 - 10*u**2 - 3 wrt o?\nAnswer: 50900*o**3*u**3 + 6*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*20.7.\nAnswer: -6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6344606 + -5989308771\/944. Let s = i + 11\/59. Calculate the common denominator of (152\/(-84))\/(4\/(-3)) and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1027 - -1076.7. Let s = x - 41. Let q = -8.7074 + s. Round q to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33972707*r**4 + 5198968*r?\nAnswer: -407672484*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0394 + -0.0394435. What is t rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -4 + (44 - 39).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/493 in 1.5, -193, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 471749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*t + 90350 = 131*t. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 2440 = 0. Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1566945 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 11*j**2 + 15*j**2 - 25*j as s*j + i*j**2 + g and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-3) - (-638 - -9))\/(-2). Let c = g + 322. What is the greatest common divisor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -35.6. Let c = 0.6 - 1.4. Let a = -0.4 - c. Put -5, a, w in descending order.\nAnswer: a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -101*w + 16. Let r(l) = -123*l + 15. Let s(a) = -5*r(a) + 6*u(a). Let p(h) = 5*h + 10. Determine -11*p(f) + 6*s(f).\nAnswer: -f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*t + 16*b*t - 179*b + 3*t - 8383 wrt b?\nAnswer: 4*b*t + 16*t - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(200)\/sqrt(4))**2 + 3)*-4.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870825 is divided by 1721.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + t + (1 + 2 - 4)*(-3*t + 5*t - 4*t))*((-1 - 3 + 3)*(2 + 1 - 1) + 17 + 10 + 38 + 6 - 2 + 6).\nAnswer: 73*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-18))\/((-364)\/30). Let n = 4\/39 - f. Sort -4, n, 4 in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 - 7*y**2 - 3*y**2. Let o(n) = n. Calculate o(d(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 327. Let f = -89 + t. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 0)*-18 + 2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -728740974 by -242913658.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697608628.\nAnswer: 2, 1097, 158981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*s - 6, -3*m + s + s = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 106 = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2, 3\/293, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**3 + 1 - 1)*(-4586*b - 187 + 9162*b - 4583*b) as c*b**2 + w*b**4 + i*b + k*b**3 + n and give k.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*h - 12 - 138 = 0, -b + 17 = -3*h. Suppose -s - 6 = -b. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 10 + 254. Suppose 4*w = -4*t + d, -4*w - 5*t = -2*t - 263. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-4)\/2 - -3). Suppose 6 = -2*u + 2*v, -6*u - 2 = -2*u - 2*v. Solve n*c = -t - u*t - 2, -6 = -4*t + 2*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -5654004?\nAnswer: 5654005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 797 - 796.629. Let z = j + -0.41. Let o = -0.459 - z. What is o rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttvvvvtggtvtttvt. What is prob of sequence vv?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.8148 to 1 decimal place.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 9*g**3 + 18*g**2 - 32*g - 96.\nAnswer: (g - 2)*(g + 3)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 86, 127, 168, 209?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11311013021 (base 4) to base 5\nAnswer: -342401030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(126) - (-2*sqrt(126)*5 - sqrt(126))) + 2*(sqrt(126)*-2 - sqrt(126)))\/(sqrt(175)*2*4).\nAnswer: 9*sqrt(2)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1119*n - 118. Let t(x) = 1677*x - 177. Let h(g) = -7*m(g) + 5*t(g). Is h(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1189344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-1)\/(-402)). What are the prime factors of y\/(-7) + (-4)\/(-14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459 (base 14) to base 15.\nAnswer: 3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 = 2*j. Let i(t) = -3*t**3 - 2*t**2 + 3*t + 3. What is the tens digit of i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 35 = -5*x, -3*x = -2*z - 0*x + 4. Suppose -z*n - 1 = -3*k, 5*n + 0*n = -5*k + 15. Differentiate -212*a**2 - 2 - 2 + 212*a**k - 20*a**4 wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*c + 6, 3*n + 0*c - 3*c = -6. Let d(v) be the second derivative of 1\/6*v**4 + n - 10*v + 0*v**3 + 0*v**2. Let o(s) = 3*s. Determine d(o(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 4*v**2 - v**3 - v**3)*(-88 + 46 + 43 - 9*v).\nAnswer: 27*v**4 - 39*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259318 is divided by 499?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3702053, -3702044, -3702035, -3702026?\nAnswer: -3702017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v - 8. Let k be d(5). Let g = 181 - k. What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5910118 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - n + 1. Let b(o) = 5*o**2 - 7*o + 12. Let d(l) = -b(l) + 6*v(l). Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*w = 948*w + 1199. Solve 26*b + 5 = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463111.\nAnswer: 11, 42101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6098 + 10723. Is j a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 2*d**7\/21 + 39*d**5\/10 + d**4\/6 - 1673*d**3\/3 - 3470*d. Find the second derivative of i(h) wrt h.\nAnswer: 80*h**3 + 468*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 807*y**2. Let z(j) = 5*j. Calculate z(u(k)).\nAnswer: 4035*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(-2)\/3. Let x(v) be the first derivative of v**2 + 169 + v + v**4 + 2\/3*v**3. Calculate x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/120 + l**3\/3 + 8*l**2. Determine r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6883877 divided by 2.\nAnswer: -6883877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q + 31. Calculate t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - y - 7, -3*b - y + 23 = -6*y. Suppose 27*n - b*n = 735. Calculate the remainder when 96 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -215 - -442. What are the prime factors of r?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 2*s - 4 - 3*s**3 - 3*s**3 + 5*s**3 - 5*s**2 - 3. Calculate q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18242077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -43*a**3 + 5*a**2 + 3*a + 6. What is the units digit of s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58752135 divided by 19584045.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4908 + 4986 = -26*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -100946 at most -100945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 2*j - 460. Let v be h(12). Let t = 11 - 20. List the prime factors of (v\/(-10))\/(t\/(135\/(-1))).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6101 and 5.\nAnswer: -30505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -602, -670, -808, -1040, -1390, -1882?\nAnswer: -2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*m = -78*m + 30872. List the prime factors of m.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 31?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 0.5, 40, -5.2, 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/8*4*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 3, c: 1, d: 1, z: 1, v: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 938 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2584, -27 in decreasing order.\nAnswer: 2584, 2\/5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/5? (a) -8 (b) 0.2 (c) 2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + u + 1. Let k(w) = w**2 + 4*w - 2. Let g be k(-5). Let q be 2\/4*4 - g. Give x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133195 and -143.\nAnswer: 19046885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-1)\/(-4)). Let s be (n\/60)\/((-4)\/(-16)). What is the third biggest value in s, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85238 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2254221 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 330 = -3*d, -2*d + 3*y = -6*d + 445. Let v(b) = -b + 31. What is the remainder when d is divided by v(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 43. What is the smallest common multiple of 12 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**5\/20 + v**4\/2 - 3*v**3\/2 - 13*v - 1. Let j(a) be the first derivative of k(a). Factor j(m).\nAnswer: -m*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16789, -16871, -17007, -17197, -17441, -17739?\nAnswer: -18091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2\/((d\/(d**(-1\/27)\/d*d)*d)\/d*d)*d**6\/(d\/((d\/(d\/(d*d**(-19))))\/d)) assuming d is positive.\nAnswer: d**(-379\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897470.\nAnswer: 2, 3, 5, 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -103.30914740796.\nAnswer: -100.30914740796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40457371 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -y, -y + 9 + 3 = 4*w. Let t(o) = 5*o + 2 - 3*o + 0*o - o**2. Let u be t(3). Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(4\/5))\/(h*h**2))\/((h*h*h**(-3\/2))\/(h\/(h*(h*h\/h**(-5))\/h))))**(2\/49) assuming h is positive.\nAnswer: h**(-11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 43*i**2 - 316*i - 954. Give z(-49).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8702?\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9296887*a**2 + 7470017*a?\nAnswer: -18593774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + y**2 - 4 + 4 - 4 + 3*y**3 + 5. Let f be b(1). Let m = f - 3. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 297683 by -163.\nAnswer: -297683\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 24362600 to the nearest 100000.\nAnswer: 24400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 598829 and 0.07.\nAnswer: 598829.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 111\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 108*p**4 + 0 + 6*p - 12*p**2 - 99\/2*p**3 - 81\/2*p**5 = 0?\nAnswer: -1\/3, 0, 1\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 11 - 16 + 8. Let c be i(-7). Let n = 60 - c. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*t + 25, 0 = -4*y + 2*t + 2 + 2. Suppose -3*d = 15, y*x - 2*x = 3*d + 23. Let o = 31 + x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -24*z + 34*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i**3 - 2 + 0*i + 1\/14*i**4 + 0*i**2 - 2\/35*i**5. Factor g(f).\nAnswer: -2*f**3*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:00 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48113 - 8*l**3 - 25*l**3 - 48101)*(-2 + 4 + 0)*(3 - 3 + 3)*(2*l + 2*l - 6*l).\nAnswer: 396*l**4 - 144*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n - 111. What is the remainder when 46 is divided by i(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 639573 or 639605?\nAnswer: 639605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215847025 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 - -0.21. Let z = 0.06936 + f. Round z to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8)*2 + sqrt(8)) - sqrt(17)) + -5.\nAnswer: -5 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -82*c - 4. Let q be p(1). Let y = q - -89. Solve 0 = y*a - 11 - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14551614089199 - -1.9\nAnswer: -14551614089197.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9917 + 99273\/10. Find the common denominator of 287\/(-168) - 1\/1*-3 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g + 2689. Suppose g = 2*d + 3*v, 4*d - 5*d = -5*v - 1338. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61272 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 7 = 3*n + 5*u, 50 = 5*n - 4*u. Suppose 19*m = -31 - 10 - 16. Which is the biggest value? (a) m (b) n (c) 2\/19 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -1\/24*y**4 + 0 + 0*y + y**2 + 0*y**3. Let a(q) = -q**2. Calculate d(a(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (297\/132)\/(7\/(-28)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) 1\/4 (c) -2\/3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b + 938328. Let d(t) = 2*t. Give v(d(k)).\nAnswer: 14*k + 938328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {j: 15, v: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000000100010011 (base 2) to base 5.\nAnswer: -204232433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11301811?\nAnswer: 1231, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (6 - (2 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 470 - 470 + 0*t**2 - 3*t**2. Let k(q) be the first derivative of -5*q**3\/3 - 12. What is j(k(z))?\nAnswer: -75*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 18*o**2 - 3*o + 5. Let s(t) = -t**2 - 1. Determine -g(c) - 5*s(c).\nAnswer: -13*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654, -589, -388, 21, 710, 1751, 3216?\nAnswer: 5177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 + -5) - (-21 - -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31223021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -4612*y + 4660*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.5 (b) 0.05 (c) 4 (d) 1 (e) 825\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + j**4 + 21*j**3 + j - 21*j**3 to the form w*j**3 + k*j + b + s*j**2 + m*j**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 61. Let q be y(14). Suppose 0 = -q*t + 12*t. Solve 5*m + 1 - 6 = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.42 in -2\/3, -2, -5, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 8*n - 18. Let g be r(10). Let i = -1 - -1. Factor -2\/5*h**g + 2\/5 + i*h.\nAnswer: -2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376092 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239931756*c**6 + 213*c**2 - 14262*c + 1.\nAnswer: -28791810720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*2\/4*14\/28?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143000)\/(-19500)*204\/22.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 + 33620*y**2 - 234705*y - 2619630 = 0 for y.\nAnswer: -6, 13, 6717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20560215937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -287, -601, -915, -1229?\n\"Answer: -314*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1008) - (3 + -2*sqrt(1008))**2) + 2*sqrt(1008) + -1 + 0)*-5.\nAnswer: -900*sqrt(7) + 20200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*s + 64, -32 = -145*s + 149*s + v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 435 - 257. Let m = -179.01 + y. Round m to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 146 = -254. Suppose -3*n - 8 = 2*s, 0 = 24*s - b*s + 4*n + 22. What is the least common multiple of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 5. Suppose -19*j = -16*j + g. Is -2 + 0 + (86 - j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*6*(sqrt(352)*1 + sqrt(352) + sqrt(22))\/(((sqrt(8)\/sqrt(4) - sqrt(2)) + sqrt(2))*-5).\nAnswer: -5 + 108*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8894056, 8894088, 8894178, 8894356, 8894652, 8895096?\n\"Answer: 5*h**3 - h**2 + 8894052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*o + 6*o - 2*w, 0 = -w - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.1249 + 0.0249. Round j to zero dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -438579162.55 + 438579340.54998177. Let s = k - 178. Round s to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -21. Suppose -4*o = u + 6. Let d(i) = -2*i**3 - 48*i**2 - 98*i - 224. Let v be d(-22). Put v, -1, o in increasing order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 0, -3*r + 3*h + 2 = -1. Suppose -4*q = m + 18, 19 = -3*m + 5*m - 3*q. Suppose m*v - 5 + 3 = 0. Solve 4*z - v = r*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + u**3 - 7175 - 3*u**2 + 7175 as c*u**3 + q*u**2 + s*u + i and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(475) + -1 - (-5 + sqrt(475) + 0)) + (2*sqrt(475)*3 - (1*(sqrt(475) + 2) + sqrt(475))))**2.\nAnswer: 120*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383762471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13156747\/465 + -84881\/3. What is the common denominator of 0 - (-24 - -22)*2\/(-7) and y?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41187 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ljkpfjjkjklpjpkkkjj.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*s + 87976 = 0, -p = -3*s + 1918 - 23942. Is 200 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*j + 11, -44*j = -43*j - 2*f - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -8*o + 1231. Let w = -137 + o. Calculate the highest common factor of w and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136 + 16?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 19\/5, -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v**2 - 5*v - 5. Let a(q) = 44*q**2 + 88 - 352 + 16*q + 93 + 90 + 97. What is -5*a(r) - 16*i(r)?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-9 + 10) + (-14 - 0). Let m(g) = -g**3 - 10*g**2 + 57*g + 16. Calculate m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 1 (b) 0.3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8756030 is divided by 1000.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -712*x - 231. Let v be r(6). What is v rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b + 1. Let g be z(2). List the prime factors of g\/((-30)\/(-387))*(-100)\/15.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 5*v - 8*v + v - 6*v - 5. Let r be s(4). Let i = r + 31. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 343984386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -18. Let g = -6 - s. What is the units digit of g\/8 + 46\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 2*z**2 - 9 - 8 to the form b*z**2 + s*z + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1206288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = -26*r - 300. Let o(c) = 5*c**3 + 8*c**2 - 4*c + 5. Let m be 1\/(-3)*(1 + 2). Let k(s) = -s**3 - s**2 + s. Let l(x) = m*o(x) - 4*k(x). Give l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/605? (a) 4 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6828, -6799, -6770, -6741?\nAnswer: -6712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkvkvkvk. Give prob of sequence vkkv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553*u = -14*t - 1549*u - 128, 2*t - 6*t = -5*u + 25 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 172415.16 months?\nAnswer: 14367.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.115759 milligrams to kilograms.\nAnswer: 0.000007115759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.38173km in centimeters?\nAnswer: 1138173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203417326 != 203417326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-2\/21)\/((d\/(d**(-2\/3)*d))\/(d*(d\/d**(-3\/4))\/d*d)) assuming d is positive.\nAnswer: d**(61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1 + (3 - 4 + 2)*(-3 + 4 - 3))*(5*s**3 + s**4 - 5*s**3)*(s + 217 - 2*s - 292).\nAnswer: 4*s**5 + 300*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 56*o**2 + o - 8. Let t be w(3). Suppose 2*y - 59 + t = 2*f, -f + 210 = 4*y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzzzvlxllczz. Give prob of sequence cv.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 4, -4, 0 in descending order.\nAnswer: 4, 0, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/4 + 29*h**3\/3 + 23*h**2 - 2. What is the tens digit of q(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-3))\/((-2)\/(-9)). Let p(a) = -a + 23. Let n be p(7). What is the highest common factor of s and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9309330, -18618709, -27928088?\n\"Answer: -9309379*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21424 - -101?\nAnswer: 21525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100528855 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 39306*c**4 + 647742*c**3 + 2766884*c**2 + 4552104*c + 2589840 = 0.\nAnswer: -9810, -11, -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**24)\/l*l*l**(-1\/4) assuming l is positive.\nAnswer: l**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 0 + (-142 - -117)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*l + 2. Let b(v) = -v - 3. Let h be b(-5). Suppose n = 11 - h. Calculate the greatest common divisor of n and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2 + 44*b**3 + 2 - 10*b**3 + 2*b**3. Let v(y) = 288*y**3 + 33. What is 33*i(k) - 4*v(k)?\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 21 + 4 - (-8 + -13).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/6 - 14*n + 1. Let t(l) = -17*l**2. What is t(o(d))?\nAnswer: -68*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**5 + 3*u**5 + 0*u**5 + 3*u**5 - 1 + 1 + 0*u**5 + 2*u**5 - 5*u**5 + (-2*u + 2*u - 4*u)*(-3*u**2 + 2*u**4 + 3*u**2).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-990)\/70 + ((-1641)\/84)\/(30\/(-120)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 5*z - 22. What is the tens digit of z + (34\/(-4))\/(30\/(-360))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -784 - -538. Does 11 divide (-72)\/(-16)*h\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3\/3 + a**2\/2 + 21*a - 1. What are the prime factors of q(0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*w**2 - 23*w - 27*w**2 - 13*w - 6*w to t + h*w + p*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.6 + 9.6. Which is the closest to z? (a) -0.05 (b) 0 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - 65\/13. Let j be p\/(-14)*(35 + 0). Solve -2*z + 5*y = -24 - 1, 5*z - j = 2*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 15. Let h be ((-6)\/21)\/(4\/k)*8. Solve -d - 2*d + 4*u = h, 2*u - 14 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 34808*y**2 + 92*y - 93. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18759878 and 2962086?\nAnswer: 56279634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889029.4902 rounded to the nearest one hundred?\nAnswer: 2889000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 2*x + 0*x**3 + 3*x + (-5*x**2 + 4*x**2 + 0*x**2)*(-14*x + 19 - 19).\nAnswer: 13*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/84 and 37\/33.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3295*g + 6408 + 176606 + 4801 = 0 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55451?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, -25 in increasing order.\nAnswer: -25, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532501979 rounded to the nearest one million?\nAnswer: 1533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.45379 - -20.8238626. Let i = 181 - 189.63. Let f = i - k. What is f rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 + 214.8. Let n = 3.86 + 0.34. Let v = n - d. Which is the third biggest value? (a) 1 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 41\/2. Is 15 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 36 = -8*m. Suppose m + 1 = 5*r. Solve -2*o = 2 + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 91. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 76*s + 5. Let g be 32 - (4 + -3)*-6. Let i be v(g). Solve -i = p + 2*p - h, 0 = 2*h - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 45 = -z, 194*z + 3*y = 190*z + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -300*c + 423. Let a(g) = -151*g + 230. What is 11*a(i) - 6*x(i)?\nAnswer: 139*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-17)\/(b\/(b\/(b*b**(1\/6)\/b)))*b**(-16)*b**(-5\/2) assuming b is positive.\nAnswer: b**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.301 + 0.201. Let j = h - -16.1. Which is the third biggest value? (a) 6 (b) -0.1 (c) -2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 14. Let k = z + 5. Suppose k = 9*h - 11*h + 40. Calculate the smallest common multiple of 16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 2*f - 2*q, -4 = f + 3*q. Factor -75*c + 45*c + 0*c**f + 225 + c**2.\nAnswer: (c - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 231?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 246, 1044, 2370, 4224, 6606, 9516, 12954?\n\"Answer: 264*g**2 + 6*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, -9, -22, -25, -12, 23, 86, 183?\n\"Answer: g**3 - 4*g**2 - 12*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 1. Let x be b(3). Let c be x + -3 + (-268)\/252. Let h = -16\/9 - c. Is -1 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11065, 22188, 33417, 44806, 56409, 68280?\nAnswer: 80473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2884208 and 13339462.\nAnswer: 106715696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 2*g - 4. Let k(z) = -9*z**2 + 7*z + 13. Suppose 0 = -2*q + 6, 3*q = -4*t - 2 + 19. Give t*k(u) + 7*m(u).\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53\/74 + 8\/37. What is the third biggest value in 0.2, 2, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -20.9. Let p = -2626 - -26291\/10. Let f = 13\/5 - p. What is the third smallest value in -2\/3, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or 2.27?\nAnswer: 2.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.67138mg in grams?\nAnswer: 0.02967138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24619 and -4.18?\nAnswer: 24614.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773262 is divided by 11371.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d84a + -6?\nAnswer: 3d844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -8 in decreasing order.\nAnswer: 4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 200473305 divided by -3?\nAnswer: -66824435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3. Let m(t) = -2*t**3 + t**3 + 0*t**3. Suppose 5*i - 3*z - 22 = 5, -i = 5*z + 17. Let u be (3\/9)\/((i\/3)\/12). Determine u*n(c) - 9*m(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 24139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 5. Let x = g - 3. Suppose 1 = -x*w + 5. Solve w*b = -5*d - 1, 3 = 4*d + 5*b - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13932 and 26316.\nAnswer: 236844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197281359 + -197281357.09999954. Let u = g - 1.9. What is u rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 24*n**2 + 5. Let t be u(-24). Which is the second smallest value? (a) t (b) 0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12642 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 = -5*d, 4*w = 5*d - 4*d - 7. Let o(g) = -29*g - 3. Let z be o(-6). Is z\/15 + w\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4905587 is divided by 278.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11847348 is divided by 1184732?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3416534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**3 + 57*v**3 + 29 - 29.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 225100 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (1*sqrt(120))\/sqrt(3))\/sqrt(8))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 119504000 = 8*j. Suppose 0 = -23*p + p + j. What is p rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l + 15. Let o = 8 + l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n = 21*n - 495 - 245 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -10*v. Let f = 1 + v. Suppose f*a = -a + 104. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t**(-3\/5))\/(t*t\/t**4*t**(2\/3))*(((t**(-3)\/t)\/t)\/t*(((t*t**(-7))\/t)\/t)\/t*t)**(14\/13) assuming t is positive.\nAnswer: t**(-1627\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 3*p + 77628*j - 77629*j, 154 = 4*p + j for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2229, 4463, 6695, 8925, 11153, 13379?\nAnswer: 15603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(3\/(-8)))\/(-1). Let q = p - 5. Suppose s - q = -2*j, 0*s + j - 9 = -3*s. Solve 2*l + s = o, -5*o - 4*l - 30 = l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 69*p**2 + 5*p + 11. Is i(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 - 2*t - 1. Let n(r) = -r - 5. Let u be n(7). Let a = -13 - u. What is c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 14 + 22 = 0. Suppose -h = 4*u - 127 - 91, -s*h + 2*u + 446 = 0. What are the prime factors of h?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6513\/117 - 1\/(-3). Find the third derivative of 123*t**3 - 67*t**3 - t**5 - 21*t**4 - j*t**3 + 63*t**2 wrt t.\nAnswer: -60*t**2 - 504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394849381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4962 * -2241.\nAnswer: -11119842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/14)\/(-6 - 400\/(-70)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-9)\/(-2). Let j be (-2 - 0)\/(2\/k). What is the second derivative of 3*n**4 + j*n - 2*n**4 + 0*n**4 wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20967, 20961, 20951, 20937, 20919?\nAnswer: 20897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13357 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*((-44)\/90 + 24\/40))\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300330 (base 4) in base 13?\nAnswer: -5201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 7*f - 13. Let b = 936 - 943. What is n(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose c - k*c + 27 = 0. Suppose -90*n + 940 = 4*n. Solve n = 4*g - c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29433025*t**3 + 437428765*t**2 wrt t?\nAnswer: 176598150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/18 + (-12)\/54. Let a = 223\/5226 - 1\/78. Let z = -53\/469 - a. What is the closest to 1 in t, z, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82826 = -18*p + 99674. Does 52 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 - 79 = 165*k + 1225 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -124. Let w(i) = 7*i**3 + 5*i**2 + 3*i. Let z(s) = -3*s**3 - 2*s**2 - s. Give m*w(l) + 5*z(l).\nAnswer: -l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 - 143 = -3*z, 160 = 4*z - 5*q. Suppose 63 - 99 = -4*f. Calculate the greatest common divisor of f and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -2.9. Round f to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y - 111 = 0. Let h = y + 39. Suppose 0 = h*d + 90 - 1028. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/21 (b) 4\/113 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17061291 + -17061254.000002. Let b = -1.27 - 35.73. Let h = b + n. What is h rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/4 + o**4\/12 + o**3\/3 + o**2\/2 - o. Let h be t(-1). What is the highest common factor of 35 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1432332 (base 5) to base 16.\nAnswer: -7686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 452953 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, r: 4, h: 2, p: 3, g: 1, i: 3}. What is prob of picking 1 p, 1 h, and 2 q?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5015 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n**5\/4 + 214737*n**4\/4 - 591402111*n**3\/2 + 543740239808*n**2 - 3379312631808*n + 5252255318016 = 0 for n.\nAnswer: 3, 42\/13, 5504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 613*n**3 - 77*n**4 + 7*n - n**2 + 6*n + 616*n**3 - 12*n as b*n**4 + j + r*n**3 + s*n**2 + m*n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) -1 (c) -4 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, -125, 0, -1.\nAnswer: -125, -4, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -41 + 193. Let d = 0.5173 + 0.4827. Which is the second biggest value? (a) -5 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8891.08g?\nAnswer: 8891080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*p - 398 = -2*p + 154 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.063915 rounded to two decimal places?\nAnswer: -14.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 23. Let j(f) be the first derivative of -f**2 + 1\/2*f**4 + f - 2\/3*f**3 - 3. Calculate j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010100000 + -100?\nAnswer: -1100010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2 + 10*z - 18. Let k be n(4). Suppose -5*v + 4*v - 3*h = -42, -4*v + 2*h = -k. Calculate the greatest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0074 - 0.0926. Which is smaller: z or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 + 9*a - 17. Let f be 7 - (-52)\/(-8) - 18\/(-4). Let u be b(f). Sort u, -1, 63 in descending order.\nAnswer: 63, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56*g*h**2 + g*h*v - 82*g*h - 2*g*v + 245*g - 2 wrt h?\nAnswer: -112*g*h + g*v - 82*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:25 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/12 - 5*w**3\/3 + 3*w**2\/2 - 22*w. Let n be q(-10). Suppose -g + 4 = n. Is g >= 1\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 146488 = -2996*w + 109031 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v + 4. Let b = -9 - -1. Does 16 divide r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4 and ((-108)\/30)\/(4\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -589 + 1015. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87792672 and 216?\nAnswer: 790134048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:48 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61\/12 - -43\/12. Let r = -1 + -0.2. Let v = 1 + r. Which is the third biggest value? (a) x (b) v (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*y - 2 + (-1 + 0 + 2)*(3*y - 3*y + 2*y) - 3 + 2*y + 3 + 3*y - 3*y - y - 186*y + 138*y - 103*y as v + l*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(48) - (sqrt(2) + sqrt(22)\/(-1*sqrt(11)))**2.\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 929 and 18.\nAnswer: 16722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9305201 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6)\/((-12)\/24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 587, 2338, 5271, 9386, 14683?\n\"Answer: 591*b**2 - 22*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 7*q - 2 - 5\/2*q**3 - 18\/7*q**2 + 3\/28*q**4. Factor z(i).\nAnswer: 3*(i - 12)*(3*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 27*p + 695 + 481 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 53. Suppose 6*u - 71 = -17. Calculate the least common multiple of u and 12\/6 + (-2)\/(d\/(-34)).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (sqrt(130)\/(-1*sqrt(10)) - (sqrt(13) - (sqrt(52)\/sqrt(4) + -4))) + (-5*(sqrt(13) + -4 + sqrt(13)) - sqrt(637)*4))**2.\nAnswer: -936*sqrt(13) + 19918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {n: 4, s: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4 - 5*r**2\/2 - 7. What is the second derivative of v(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2. Let g(s) = s**3 + s**2 + 7*s - 5. Let r be (2 + 3\/(-1))*2. Let i(d) = r*b(d) + g(d). Is 7 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36941 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/6 - (3 + 6\/6). Let g = 110 + -105. Which is the third biggest value? (a) -2\/7 (b) g (c) -2\/3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 59, 119, 213, 347, 527, 759, 1049?\n\"Answer: c**3 + 8*c**2 + c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmhmh. Give prob of sequence hmmh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 3*w**2 + 10*w + 20. Let z be j(-5). Solve 6*s - s + z = -5*v, -2*s = 5*v + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3740460 and 7440?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*v = 12 - 87, 0 = 5*s - 4*v - 364. Suppose 5*q = -7*q + s. What is the smallest common multiple of q and ((-708)\/8)\/((-6)\/8)?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72))\/sqrt(6))\/(sqrt(8)\/sqrt(2)*2) + 4.\nAnswer: sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 3, -4, 28 in increasing order.\nAnswer: -4, 3, 4, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17032449?\nAnswer: 3, 7, 109, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v + 2*v + 38*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 20. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604\/906 - (-4 - (-1270)\/195)?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 12:49 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (-3 + 3 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/97732 and 65\/22.\nAnswer: 1075052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 - 53. Suppose 0 = -2*p - x - 0*x + g, -4*x = -4*p + 340. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/2)\/((-16)\/(-32)). Let q = 0.3 + -0.2. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*h - 4*l, -3*l + 159148 - 159169 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 132164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 648960 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(2\/(-2)))*(-315)\/45.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.02 - -0.02. Let y be 4\/(-24) + 6*(-25)\/(-180). Let n be 4\/6*3\/12. Sort f, y, n in descending order.\nAnswer: y, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0 + 7\/27*m**3 - 14*m - 4\/27*m**4 + 1\/9*m**2. Find y, given that k(y) = 0.\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*t = -t + 53, t = -d + 28. Calculate the remainder when 91 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0835636 times -4?\nAnswer: 0.3342544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*10 - (-8)\/((-320)\/(-196))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 3 + 6*h - 4 - h. Let v be r(1). Suppose b + v = 8. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -1\/3*l**4 + 5*l**2 + 1\/120*l**6 + 1\/60*l**5 + 1\/6*l**3 + 0*l + 0. Calculate the remainder when t(4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b*(b*b**(-1\/8)*b)\/b*b\/(b\/b**(-2\/5))*b*b*b*b**(-3\/5)*(((b**(1\/3)\/b)\/b*b)**50)**(-19) assuming b is positive.\nAnswer: b**(15221\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = -2*t, 5*y + 4*t = 4. Let w(r) = -2*r + r + 2*r + 7*r**2. Let c be w(-2). Solve y*k + 10 = c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58518 is divided by 50?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let c(d) = 4*d**2 + 3*d + 3. Let s(o) = 23*o**2 + 17*o + 17. Let i be ((-4)\/6)\/(2\/(-18)). Let z(a) = i*s(a) - 34*c(a). Calculate u(z(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185\/9 - 21. Suppose 3*n = 2*n + 4*k + 22, 3*n = k + 66. Calculate the common denominator of 1 + -1 - (-14)\/n and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24 + 1*(-376)\/(-16))\/(14\/(-16)). Let s = 0.3 + -4.3. Which is the smallest value? (a) z (b) s (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 75 - 41. What is the greatest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 146?\nAnswer: 24966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 16*d + 9. Let b be m(-6). Let n = 72 + b. Suppose -4*g = -20 - 60. Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53643500 to the nearest 100000.\nAnswer: -53600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-4)\/(sqrt(12)*-2*-6) - 2*(-3*(sqrt(14) - (sqrt(14) + sqrt(14) + -2*sqrt(14))))\/(-5*(sqrt(28) + sqrt(7))).\nAnswer: -26*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*n**2 + 934*b**3*n*u**3 - 226*b**2*n**2*u**2 + 7*b**2*n + 4*b*n**2*u**3 wrt b?\nAnswer: -24*n**2 + 5604*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l**2 - 3*l - 3. Let r be x(-3). Suppose -p = -r*p - g - 15, 0 = 4*g + 20. Let b = 4 + p. Solve 2*o + b*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78458?\nAnswer: 2, 39229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 81. Calculate the greatest common factor of l and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 4*f**2 + f**2)*(0*f + f + f).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 - 4 - 3*m + 4*m. Let j be k(8). Does 4 divide (-6)\/((-9)\/j) - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29399.5 + 32202. What is z rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42246 is divided by 8444?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3774 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/5 - 3*b**4\/5 - 2*b**3 = 0. What is b?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 826660 or 826658?\nAnswer: 826660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 912552467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/(-105) + 28\/(-49). Let x be 2 + (-2 - 3\/(-3)). What is the closest to x in 2, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/6 + 11*c**3\/3 - 646*c**2. Calculate z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2278 and 2290 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 77. Which is the biggest value? (a) -1\/2 (b) n (c) -0.09 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(28).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {h: 7, g: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:59 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/9 - 118*w**3\/9 + 457*w**2\/9 - 12*w - 76 = 0.\nAnswer: -1, 2, 3, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, -4, -5, 7 in descending order.\nAnswer: 23, 7, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 36.67827?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 7454 - 521807\/70. Let l = 1\/70 - t. What is the closest to -2\/7 in -4, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 4198*w**3\/3 - 3*w**2 + w. Let m be s(5). Suppose 14026 = v - m. Round v to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.8, -2\/3, -2, -4, -35, -5.2, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7498, -11177, -42298, -85859, -141854, -210277, -291122?\n\"Answer: j**3 - 6229*j**2 + 5*j + 13721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v - 3*v**2 + v**3 + v + 0*v**3. Let j(f) = f**2 + f. Let z(t) = 6*j(t) + 2*r(t). Suppose z(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63316530 + 114358242. Let p = -51041697.9999998 + s. Let h = p + -14. What is h rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -27 - -26 - 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.205 - 1.735. Let x = k - -0.44. Which is the biggest value? (a) x (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2, d: 1, a: 1, u: 1}. What is prob of picking 1 h and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 2*m - 4*m)*(0 + 4 - 3) + 3*m + 22*m - 2*m + (-1 + 1 - 1)*(0*m - 4*m + 3*m) + 3*m - 2*m + m as w + s*m and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 3. Let m(y) = -y**2 - 10*y - 1. Let t be m(-4). Suppose -4*d = -9 - t. Give g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (13 - 4) - (5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 118*g + 121*g - 98*g + 148*g as l*g + m and give l.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0236 and 2.\nAnswer: 1.9764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 - 2298719\nAnswer: -2298719.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52\/1043231 or -1?\nAnswer: 52\/1043231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1792\/(-1232)*(-50)\/40.\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*y + 5 = 0, 14*c = 15*c - 5*y - 5. Solve c = 71*k - 82*k - 55 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(472\/(-84))\/59?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*i + 27. Let l = 10 - 0. Suppose l*d - 272 = 2*d. Calculate the highest common divisor of d and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 52 + -2 + 4. Let a be (-2 - (-148)\/z) + -1. Let y be ((-6)\/8 - -1)*4. Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*k - 12, 49*p - 44*p = 2*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 22?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453360 is divided by 204?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 11*z + 609*z**2 - 299*z**2 + 2 - 297*z**2 to the form d*z + l*z**2 + q*z**3 + p and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -2*o - 29. Is 78 a factor of (-4 + o)*3*39\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -127a5812?\nAnswer: -127a5813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209\/852 + -1\/213. Let h = 8 - 4. What is the closest to -5 in j, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309526 to the power of 1\/2, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = n - 11, 3*n + 2*s - 8 = 0. Solve -3*k - 2*k = -n*o - 14, 4*o + 2*k = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let s = -5.1 - -5.2. Let d be (5\/4)\/((-2)\/(-4)). What is the closest to s in d, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 25*d + 2*w - 4*w - 7 = -21*d + 8, 0 = 5*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/3 - 135838867*c\/3 = 0?\nAnswer: 0, 135838867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45892241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/462*7*(-88)\/20?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7202587999 from -24.\nAnswer: -7202588023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.38 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29142997 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3621639 divided by -1207213?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 14. Suppose 5*d = -3*n + 24, d - j = n + 3*n. Let f = 9 - d. Solve 4*b = 4*u + 16, u + f*u + 4*b = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -7, 0.12, 6.52, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7368 and -19\/496?\nAnswer: 456816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-4 - -6)*2. Let g be 7 + (i + 1 - 7). Suppose -5*w = -5*a + 25, 4*w + 2 = -4*a - a. Sort a, g, -5 in decreasing order.\nAnswer: g, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -3.82. Let n = -3.900103 + r. Round n to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1268053113 to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 46*p**2 + 177*p - 206. List the prime factors of l(-21).\nAnswer: 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12805848 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -3092\nAnswer: -309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1331) + (sqrt(1331)*1)**2 + -2 + (-1 + sqrt(1331) + -4)**2)*-2 + -2.\nAnswer: -5370 + 198*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1762\/45 - 198\/5. Let i(a) = a - 70. Let s be i(0). What is the common denominator of m and (-96)\/s*7\/2?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1361001km?\nAnswer: 136100.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -516*a - 3024. What is p(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -815*h**2 - 15484*h + 27. Give p(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 + 2*l + 17. What is the tens digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (383*d - 33880 + 33880)*(4*d + 6*d - 5*d).\nAnswer: 1915*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:24 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 244 + 1734 = 0. Calculate the greatest common factor of 115 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3416, -151, -10 in descending order.\nAnswer: 3416, 5, -10, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46539592, 46539577, 46539564, 46539553, 46539544, 46539537?\n\"Answer: a**2 - 18*a + 46539609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9660 = 7*c - 9856. Suppose -a + 18 = 2*a. What is the least common multiple of c and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 4*g + 15. Solve -g*j - 12 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.3 (b) -3 (c) 1\/2 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, r: 3, o: 1, l: 5}. What is prob of picking 1 o and 2 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 621806593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/10)\/(8\/(-40)). Suppose 3*w + 5 = -1. Let u be ((-2088)\/120 - -17)\/(1\/20). Sort w, 0, q, u in descending order.\nAnswer: 0, w, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 131*m + 145*m - m**2 to the form t*m + z*m**2 + y and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10613812 to the nearest integer?\nAnswer: 3258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3414315 is divided by 506?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 26*u - 40. Let n = -4 + 11. Let a(l) = -6*l**3 + 3*l**2 - 13*l. Let s(f) = 4*f**3 - 2*f**2 + 9*f. Calculate n*s(k) + u*a(k).\nAnswer: -2*k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -53374295.\nAnswer: -5337429.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 3. Calculate t(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7007 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 62337?\nAnswer: 187011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 299 - 919. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 238*v - 941. Let g be x(-4). Suppose 20 = -5*z - 10. Does 23 divide 45\/z*84\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/108 and -39\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 12*l + 6. Let c be f(-11). Let t(g) = 0 - 2 - g - g. Let u(s) = 6*s + 6. Determine c*t(m) + 6*u(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (15 - 7 - 12) - 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242864491 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.322 - 263.5\nAnswer: -263.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/11505 and 17\/9985.\nAnswer: 22975485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (13 + -4 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20479.62929 and -2.419?\nAnswer: 20477.21029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -154 and -1943.\nAnswer: -2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 0.3, -1, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126595044 divided by -2?\nAnswer: -63297522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/3 + 4*s.\nAnswer: 4*s*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 13 = 33. Suppose -o*q = -11 - 25. What is the lowest common multiple of q and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1606 + -1105. What is the remainder when t is divided by (2 + (-5)\/(-1))*9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/5)*v*v)\/(v\/(v**25*v))*((((v\/v**4)\/v)\/v)\/v)**(-2\/21) assuming v is positive.\nAnswer: v**(993\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777992?\nAnswer: 2, 79, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8467\/2541 + 52\/121. Find the common denominator of p and 11\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:10 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/207)\/((-254)\/4572)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101 (base 2) to base 11.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - (0 - 1)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -16*l**3\/3 - l**2\/2 - 20. Let s(n) = -n**2 - 9*n + 9. Let p be s(-10). What is x(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f + 5*v, -3*f - 16 = -7*f - v. Suppose 0 = f*z - 49 + 9. What is the greatest common factor of 20 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -0.2, 0.3, 3\/4, 0 in decreasing order.\nAnswer: 3\/4, 0.3, 1\/10, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 1\/20*l**5 + 4*l + 0 + 1\/3*l**3 + l**2 + 0*l**4. What is g(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -65. Let l = 460 + -961\/2. Let x = 64\/3 + l. What is the common denominator of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, -5, -13, 3089 in ascending order.\nAnswer: -13, -5, 231, 3089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3*g*g**(-1\/2)*g\/(g*g\/(g**4\/g))*g\/(g*g**(2\/9)*g) assuming g is positive.\nAnswer: g**(77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 131 = 29*h - 50. Let j = -2\/253 - -532\/3289. Which is the second biggest value? (a) h (b) 37 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from tvrglvvvgdvvg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*h + z, 24*h + 3*z + 48 = 27*h. Solve -4*t + l + 23 = 4*l, h = t + 4*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, -5, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 + 6. Let o(f) = -3*f**2 + 3. Let b(r) = 4*j(r) - 10*o(r). Find the first derivative of b(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5, -72, 2 in descending order.\nAnswer: 6, 5, 2, 1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 88472957 to the nearest ten thousand.\nAnswer: 88470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-5 - (2 + -4)) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {j: 1, l: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 23. Let g be (r\/8)\/((-3)\/(-24)). Suppose g*q + 21 - 69 = 0. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 11*z - 8. Let j be t(5). Suppose r - 200 + 156 = 0. What is the greatest common factor of j and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.0495 - 4. Let q = -0.05 + h. Round q to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/2 (b) 3 (c) 376 (d) -3 (e) 4763\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(10\/9)*v**(2\/7)\/v*v**(-2\/9)\/v**15)**(1\/5) assuming v is positive.\nAnswer: v**(-934\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3025971899 and -1.55.\nAnswer: -3025971900.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 12773445?\nAnswer: 7664067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9965504?\nAnswer: 2, 47, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2190226\/9 + 243824. Let n = 356768\/765 - a. Let z = n + -16\/17. What is the smallest value in z, 0.3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*k - 14661 = 0, k - 4 = -1. Factor -7*z**2 + 45*z + 4857 - 5*z**3 - h - 8*z**2.\nAnswer: -5*(z - 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 60*p - 5. Let i be d(1). Let h = i - 50. Solve 2*o + 1 = -h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (38 - -8) - 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -693 + 782. What is the lowest common multiple of 20 and j?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrrrrrrvrrv?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/28, -0.2, 0.1, -5\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45314 to three decimal places.\nAnswer: -0.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192 + -25780322?\nAnswer: -25781514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -c - 188. Let b = -77 - c. Let a = -38 + 53. What is the greatest common divisor of a and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/32 or 7704?\nAnswer: 7704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/((-1520)\/410) + (3\/24)\/1. Let v = -11\/3 - -19\/6. What is the closest to 0.1 in 6, -0.2, v, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4068 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*(l**(-24)*l)\/l))\/(l*(l\/(l*l\/(l\/l**(-3\/2))))\/l))\/(l*l*l**(-1\/5)*l)**(11\/6) assuming l is positive.\nAnswer: l**(491\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 15.07\nAnswer: 406.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2084, -2111, -2184, -2327, -2564, -2919, -3416?\nAnswer: -4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**3\/21 - 9*l**2\/7 + 20*l\/7 - 37. Factor c(b).\nAnswer: -2*(b - 1)*(b + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and (-6 - -4)\/1 + 42.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 18 = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26196213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-140)\/(-42))\/(2\/201) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76746.\nAnswer: 2, 3, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 36 = 18*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 4 (c) -1\/6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -3, -55\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2. Let p(i) = -45*i**2. Calculate m(p(z)).\nAnswer: -2025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12) + (-28710)\/(-594)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -258*v - 441. Let d(o) = 515*o + 881. Let s(l) = -3*d(l) - 7*u(l). What is the first derivative of s(b) wrt b?\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/2 - 38472\/(-42). Let h = c - 250. What are the prime factors of h?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 94 (b) -185 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:46 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -2, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -0.2 (c) 121 (d) 2\/7 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 2. Suppose 17 = j*d - d. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/56 and -121\/760?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.824 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 7. Let l(t) = 6*t. Determine i(l(k)).\nAnswer: 108*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1273 - 1296 - (2 + 6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9408028.\nAnswer: 2, 7, 277, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.103559 - -0.1041. What is g rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5748391 is divided by 1213.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/5*((-70)\/(-21))\/(-10)*-1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-5)\/((g*g**(3\/5))\/g))**(-6))**(-50))**(1\/5) assuming g is positive.\nAnswer: g**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 - 2*l**3 + 3*l**3 - 3*l**3 + 4*l - 4*l + (-438*l + 924*l - 452*l)*(-5*l**2 + 3*l**2 + l**2).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 57, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -367177, -734366, -1101561, -1468762?\n\"Answer: -3*k**2 - 367180*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -252 - -1768\/7. Let r = 13.05 - 11.6. Let c = -1.55 - r. What is the third smallest value in -9, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/4 + 409*x**4\/2 + 11763*x**3\/2 + 34182*x**2 + 273915*x\/4 + 79947\/2 = 0 for x.\nAnswer: -21, -3, -1, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 85. What is the least common multiple of m and 46?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (329\/(-658))\/(-4 - 1285\/(-320))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45896427 is divided by 41724?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 504 and -22.0126?\nAnswer: 526.0126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 50 + 99 = -8*k - g - 3, -8*k - 88 = -2*g for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l + 5. Suppose -4 = l*w + 61. Let o be (-9402)\/(-2) + w\/13. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19446155507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 1 - 31 = 0. List the prime factors of (-166)\/(-3 - u)*-1.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1960*p**2 - 44*p + 44*p + 1013*p**2 to the form c*p + r*p**2 + b and give r.\nAnswer: 2973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229861862 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.57 + 1.57. What is the closest to -1 in -0.2, l, 4, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - 529. Let r(a) = -2*a**2 + 177. Determine -17*r(j) - 6*u(j).\nAnswer: -2*j**2 + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.86 - -0.14. Let a = 3.06 + -0.06. Let s = l - a. Put 5, s, -0.4 in descending order.\nAnswer: 5, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250)\/(-1750))\/((-3)\/(14\/(-120)*3))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.3 (b) 46 (c) -2\/5 (d) 2\/3 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -22, -31, -42, -55, -70, -87?\n\"Answer: -u**2 - 4*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 20*i + 66. Let m be o(-6). Let c = 172 - m. Solve 0 = 13*y - 8*y + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220131 and 177525?\nAnswer: 5503275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/1530*(-36)\/40.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*k + 805. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*j + 220, 4*j - j - i + 173 = 0. Let y(d) = d**3 + 8*d**2 - 22*d + 1. Let b be y(-11). Let w = j - b. Is 9 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 42*g*p**3 - 8320891*g*p**2 + 72114*p**5 wrt p.\nAnswer: 252*g + 4326840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16712*b**3 + 22105*b**2 - 22105*b**2.\nAnswer: -16712*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.06 - 14.04. Let n = z + 94. Sort 0.3, 3\/2, n in increasing order.\nAnswer: n, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3260257 or -3260251?\nAnswer: -3260251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25350150 divided by 6?\nAnswer: 4225025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w\/(w*w**(2\/37)))**(-39) assuming w is positive.\nAnswer: w**(1521\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1976a - 2bad?\nAnswer: -1c539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(4\/(-12)). Find the first derivative of j + 3 - m - 4 + 0 wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 124.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 - -375?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475459358.\nAnswer: 2, 103, 397, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 322?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as -485.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29443952?\nAnswer: 2, 109, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) -2\/17 (c) 0.044 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5207932743?\nAnswer: 3, 13, 37, 3609101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from lxlljejjlxj?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196075897 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**6*q*q)\/q*q)**(-24)\/(q\/q**4)**25 assuming q is positive.\nAnswer: q**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-24500568.\nAnswer: 98002272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 2. Suppose 5 = -c + 6*c. Suppose 3*v - 4*h + c = -17, -3*h = -5*v - 19. Give x(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t. Let m(o) = -337*o**3 - o**2 + 28*o. Give m(f) + 7*s(f).\nAnswer: -337*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1593 = f - 1579, 4*f = 4*x - 48. Let n(w) = -w - 3*w + 5*w + 26. Calculate the remainder when 38 is divided by n(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:35 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 4:53 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 81*x - 324. Give s(44).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + 5 + -13. Let i = -0.6 + 0.5. Which is the third smallest value? (a) 0.4 (b) p (c) -0.2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*i - 62*i - 133*i + 404*i - 81*i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 6. Let k(u) = 53. Give 2*k(x) + 18*o(x).\nAnswer: 54*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 22. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/5 - 142524*i\/5 - 569856 = 0.\nAnswer: -47488, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5 - g**4 - 29623*g**2 - 82344*g.\nAnswer: -20*g**3 - 12*g**2 - 59246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-3*x + 0*x - 3*x)*(-175*x + 65*x + 623*x + 575*x + 30*x).\nAnswer: 13416*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifypqfl. Give prob of picking 1 f and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*(7\/42)\/(8\/(-224)*7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*j - 2*y - 1408, -5*y = -4*j + 1109. List the prime factors of j.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1040*v - 119604. Let k be c(115). Let l be ((-2)\/(-2) + 0)*-69. Let q be (-1 + (-1)\/(-1))*1. Put q, k, -1, l in decreasing order.\nAnswer: q, -1, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a**2 + 205*a + 8. Let t(w) = w**2 - 34*w - 1. Let s(v) = -o(v) - 6*t(v). Let i(n) = -10*n**2 + n + 3. Calculate 3*i(r) + 4*s(r).\nAnswer: 10*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 20*u - 22*u. Suppose u*y - 17 = -7. Solve 7*l - 2*l + y = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (4 - (-228)\/(-24))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -122. List the prime factors of 5\/(v\/4)*-268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/9 + 3868*i**3\/9 + 2127938*i**2\/9 + 27694880*i + 922780800 = 0.\nAnswer: -895, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 79*b. Let n be j(-2). Let v be 2\/(4\/n)*1. Let g = -42 - v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*t = -3116, d + 5*t - 6*t = 3104. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*t**2)*(9*t - 20*t - 13*t + (t + 0*t - 3*t)*(4 + 1 - 4)) as k*t**2 + r + z*t**3 + x*t and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31439019 less than 21.1?\nAnswer: -31438997.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 + 15*v**2 + 11*v wrt v?\nAnswer: -40*v**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/13 - -47\/39. Let m = i + -1\/6. Which is the biggest value? (a) 4 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**2 + 1\/360*n**6 + 1\/90*n**5 + 0 + 0*n + 0*n**3 + 1\/72*n**4. Factor g(t).\nAnswer: t*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -3*k - 7\/220*k**5 - 1\/330*k**6 - 13\/66*k**3 + 0 - 5\/44*k**4 - 2\/11*k**2. Solve i(c) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-84))\/(3\/(-9))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 5:56 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180929?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.7 + 0.7. Let d = -275672 - -275672.5. Let t = 9 - 4. Put t, g, d, 3 in decreasing order.\nAnswer: t, 3, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 19*l - 2*a + 32, -l - 4*a = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530533.88ns in days?\nAnswer: 0.0000000177145125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-27) + (-10)\/(-45). Suppose q + 0 = c. Suppose -2*m + 26 = -3*g, -26 = -q*m - 0*m + g. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*n - 248684 + 3804194 = 285390. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17884 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -25*x + 73*x - 24*x - 15*x + 1. Let w(g) = 8*g + 1. Determine 7*d(t) - 6*w(t).\nAnswer: 15*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 * -85796\nAnswer: 274547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 540304 or 541272?\nAnswer: 540304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*b - 16, 0*v + 14 = 5*v + b. Let t be 0 + 2 + v + -1. Suppose -4*i - 12 = 0, 8 + 61 = t*s + 5*i. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38\/2055? (a) 0.04 (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 383620*z + 14968785.\nAnswer: -5*(z - 39)*(z + 76763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -144828 - 0.1589247\nAnswer: -144828.1589247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22 = 3*j + j, -5*h + 45 = -5*j. Suppose -h*f + f + 84 = 0. Calculate the least common multiple of 20 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*v + 101*v**3 - 114*v**3 - 340*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 + -0.067. Let r = a - -0.007. Let t(u) = -u**2 + 5. Let d be t(0). What is the nearest to 2\/5 in 4, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*8\/(-4)*2. Find the third derivative of m**5 - h*m**2 - 5*m**5 - m**5 + 30*m**2 wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*v - 72951 - 45137 + 1752 + 21961.\nAnswer: -99*v - 94375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2977.299258 to 1 dp.\nAnswer: 2977.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, g: 2, l: 2, x: 3, s: 4}. What is prob of picking 2 f and 2 x?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/190575 and -97\/42498225.\nAnswer: 42498225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 79*m**2 + 6. Let g(q) = -12325*q**2 - 935. Let u(v) = 6*g(v) + 935*x(v). Let o(i) = 1 - 2130*i - 1 + i**2 + 4191*i - 2061*i. Calculate o(u(p)).\nAnswer: 7225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32301 (base 4) to base 7\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - 13*b**2 + 42*b - 17. What are the prime factors of m(13)?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13259, -13381, -13499, -13607, -13699?\nAnswer: -13769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b607ba (base 15) in base 10?\nAnswer: -8658625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/38240 and -145\/22944.\nAnswer: 114720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-2 + -1)**2 + sqrt(19))*-1.\nAnswer: -77 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2370 divided by -5.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -15 + 208. Let p = -63 + v. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 18*z**2 + 3*z - 18. Let f be i(-19). What is the highest common divisor of f and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1005332 and 536309?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 726, 1056, 1384, 1710, 2034, 2356?\nAnswer: 2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32931, 33346, 34251, 35892, 38515, 42366?\n\"Answer: 41*b**3 - b**2 + 131*b + 32760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25056177 is divided by 151.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 857*n - 1096*n - 12189 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**4 + 4579*g**3 - 4*g**2 - 80*g + 5?\nAnswer: -72*g + 27474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9*b + 8 = 0, 0 = -4*p + 3*b + 14. Find the second derivative of -f - f**2 - 2*f**5 + 0*f**p + f**2 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 879 + -357. List the prime factors of n.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 1304309517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 1, w: 4, g: 5, k: 3, c: 1, r: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*k**6 + 42*k**4 + 730*k**2 - 16*k?\nAnswer: 4320*k**3 + 1008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21.3*2.7\nAnswer: -57.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 38, 30, 18?\n\"Answer: -2*l**2 + 2*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1551)\/(-47)*3\/9*1*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:43 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 21*c - 6 = -2*d, -4*d = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y + 4. Give b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000239 to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:55 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 767, 1000, 1461, 2228?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 33*k - 8. Let d be (0*(-1)\/3 - -1)\/k. Is 29 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/14)\/(2\/4). Let j be (3\/(-6))\/(3\/f). Let t = -95 - -92. Which is the third biggest value? (a) 3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111727015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0058 * -183\nAnswer: -1.0614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let o(p) = p - 1. Let j(b) = -9*b + 4. Let f(x) = j(x) + 5*o(x). Let a be (1 - 3 - -2) + 1. Let q(s) = a*f(s) - 2*y(s). What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 387 (b) 3 (c) 3\/2 (d) 6917.5 (e) 4\/9 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 982 = 5*y + 932, 0*a = 2*y - 6*a - 68 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 502.2.\nAnswer: -200.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 39*i + 55. Determine c(-40).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.2? (a) 5 (b) 3 (c) -3 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*i - 8 = -2, -4*k + 4*i = 0. Let m(p) = p**3 - 3*p**2 - 7. What is m(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -291. Suppose -6 = 23*o - p*o. Solve -4*j - o - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40031 + 40289. What is the greatest common divisor of v and 9374?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/869 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000480907 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 > 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y, 8*y = 5*t + 5*y - 3054. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103818*b**3 - 339109*b**2?\nAnswer: 622908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12761977 divided by -19\nAnswer: -671683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22895902, 22895901, 22895900, 22895899?\nAnswer: 22895898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 12*p**2 + 0 - 67*p - 1\/12*p**4 - 5\/3*p**3. Factor v(m).\nAnswer: -(m - 2)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 69 = -2*r. Let o = -1 - r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -268652, -268656, -268660, -268664, -268668, -268672?\n\"Answer: -4*q - 268648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-10))\/((-282)\/(-940)). What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4 - 4)*(4*n**3 - 5*n**3 + 3*n**3) - 3*n**4 + n**4 + 4*n**4 + (0*n**3 + 3*n**3 - n**3)*(1 - 1 - n).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -1\/3 (c) -235 (d) -7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 811790 or 811640?\nAnswer: 811790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 192\/11 or 6?\nAnswer: 192\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -19. Let q = 0.06 - -22.14. Let s = q + o. What is s rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w = -63*w - 2*j + 269, 13*w - 3272 = -j. What is the remainder when 11545 is divided by w?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 1770*o**3 + 10668*o**2 + 21368*o + 14256.\nAnswer: -2*(o - 891)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from dblxxdbmo?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 7*m - 9*m + 1413, 5*i = -m + 699. Does 57 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4155.8\nAnswer: -415.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from kkpeepkkefeeppppk.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32241*g**2 - 41690*g**2 - 131909*g**2.\nAnswer: -141358*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21111000021 (base 3) in base 10?\nAnswer: 147265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-24)*((-16)\/(-6))\/1. Sort 2, 2\/11, q, -4 in decreasing order.\nAnswer: 2, 2\/11, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21304, 170126, 574070, 1360696, 2657564, 4592234, 7292266?\nAnswer: 10885220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 68 - -50) + -20 - (0 + 22).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 100, 0, 24 in increasing order.\nAnswer: -31, 0, 24, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -19*r. Let n(h) = -h + 4*h - h. Give n(l(v)).\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/63 and -157\/186372?\nAnswer: 1304604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/20 (b) -0.05 (c) 3 (d) -25 (e) -11 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 3*k**4\/8 + 44*k**2 - 1. Let n(t) = -t. Calculate p(n(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53694.08ml to litres.\nAnswer: 53.69408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**7\/6 - f**3\/6 + 3*f. What is the second derivative of m(r) wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.770814221+0.3\nAnswer: -32.470814221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54889 is divided by 1362.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z. Let i(s) be the second derivative of 1\/6*s**4 + 0*s**2 + 0*s**3 - s + 0. Calculate h(i(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -2*d + 5*x, -2170*d + x + 429 = -2159*d for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0469 in -1\/3, -1\/7, -1, -0.067, 1?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.66 in 1, -2\/9, -1.2, 24, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*33.7574.\nAnswer: -6.75148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/165 - 2\/(-54)*387\/15?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42359, -43555, -46801, -53123, -63547, -79099, -100805?\nAnswer: -129691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 28 = -4*q, -248*i + 4*q = -246*i - 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6613651 or 6613652?\nAnswer: 6613651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40 - 2\/3*n**2 + 34\/3*n.\nAnswer: -2*(n - 12)*(n - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382432 divided by 1?\nAnswer: -382432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -503 (b) 13\/8 (c) -6\/13 (d) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/3373 - -16829\/20238. Let x(g) be the second derivative of -3*g + 0 + 7\/2*g**2 + 0*g**3 - l*g**4. Find the first derivative of x(z) wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 divided by -3?\nAnswer: -742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 4590 - 1134. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -558 + 1101\/2. Calculate the common denominator of i and -77\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14673*d**2 + 121985*d wrt d?\nAnswer: -29346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 4*p + 5. Let m be z(4). Let b(w) = w. Does 5 divide b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 + 5*c**3 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:03 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 0. Let a = -0.2 - j. Let s = 426 + -421. Put s, 1\/6, a in decreasing order.\nAnswer: s, a, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54413*g - 138390*g + 535866*g.\nAnswer: 451889*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/767761?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1971)\/219*-6*-3*(-2)\/(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 5 (b) 8\/11 (c) -0.5 (d) 1 (e) -5 (f) -2700\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597 and 131.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 440938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 22 - 2)*(0*v + 0*v + v) + 35 - 13*v - 35 + (-2 - 4 + 5)*(-v + 0 + 0).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -344, -902, -1674, -2660, -3860, -5274, -6902?\n\"Answer: -107*x**2 - 237*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-119 + (13 + -8)\/((-1)\/24*-24).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*g + 627 = -215 - 670 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/8)\/(v\/((v\/v**21)\/v)*v)*(v**7)**29 assuming v is positive.\nAnswer: v**(1435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18158393 * -0.52\nAnswer: 9442364.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-13)*(-20)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 64 = -69 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 + 2*d**2 - 2*d + 1. Let c be q(1). Suppose c*z + 24 + 0 = 0. Let a(h) = h**2 + 5*h. What is a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 * 21347\nAnswer: 42.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3895903.\nAnswer: 11, 149, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0, -2, -454646, 1 in descending order.\nAnswer: 5, 1, 0, -2, -5, -454646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93840299 or -93840309?\nAnswer: -93840309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120741127?\nAnswer: 13, 239, 38861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897007 < 1897016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 - 208. Let l = -0.12 - -1.02. Let x = l - 1.1. Which is the nearest to 2\/3? (a) x (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56987308 and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 58*h**2 + 2*h + 7. Let p(t) = 260*t**2 + 9*t + 28. Let d(w) = -2*p(w) + 9*s(w). Let u(f) = -152*f**2. Calculate u(d(r)).\nAnswer: -608*r**4 - 4256*r**2 - 7448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 4.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hddddddhdddddhddhd. Give prob of picking 2 h and 2 d.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/5)\/(7\/(-35)) - 0. Suppose -10 + 28 = g. Calculate the greatest common divisor of a and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4185 is divided by 52.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*v**4 - 2*v**3 + 4*v**3 + 28*v**4 + 93*v**2 + 3*v**4 to the form y*v + z*v**3 + k*v**2 + n*v**4 + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-258)\/(-21) - 2\/7. Let r(q) = -2*q + 52. Let m be r(-22). Calculate the greatest common factor of s and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4612223663 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6331848 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -13.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -830 + 1830. Let x = -25 - i. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 + 7*w + 7. Let z(k) = 4*k**2 + 3*k + 3. Let q(m) = 3*t(m) - 7*z(m). Let y(l) = 16*l**2. Determine q(y(r)).\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*z - 59*z - 354*z - 38*z.\nAnswer: -378*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 9*j**3 - 19)*(0*j - 5*j + 4*j)*(0 + 5 - 4).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/5880008) - (9 + -7). Suppose 0 = 3*g + 2*x - 4410004, 0 = 4*g - 0*g + 3*x - z. What is g rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -75*r**2\/2 - 310*r + 114. Let b(v) = -15*v - 62. Let w(j) = 11*b(j) - 2*o(j). What is the first derivative of w(l) wrt l?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 - -142?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51101436 divided by -12\nAnswer: 4258453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 117*g - 18. Let t(u) = u - 1. Calculate -b(v) + 18*t(v).\nAnswer: -99*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 116 = 2*m + 118, 4 = -2*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let n = 44 - 23. Let t = n - 21.1. What is the closest to 5 in i, 3\/5, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1266 and -75\/1779152.\nAnswer: 5337456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1 (b) 3\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/((-59400)\/(-16))*40*1.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-13)\/d)\/d**(-19))\/(d**(-9\/7)\/(d\/d**(-17))))**(-2\/37) assuming d is positive.\nAnswer: d**(-340\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 4. Let u(b) = b**2 - 6*b - 4. Let r be u(6). Let w be (2\/(-6))\/(r\/(-12)). Suppose -13*d + 80 = 7*d. Let v(t) = -1. What is d*v(g) + w*x(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u - 42 = 0. Suppose -4*v + 21 = 5*w, -4*v + u = 3*w - 5. Is w less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 315449 or 315433?\nAnswer: 315449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 1492*z\/9 - 53406.\nAnswer: 2*(z - 989)*(z + 243)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0349*0.1.\nAnswer: 0.10349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -12*n + 7*n + 2745, -2*n - s = -1098. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/593505 and 19\/1073105.\nAnswer: 106237395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10894 and 43576?\nAnswer: 43576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/2 + 39*p**3 - 1161*p**2\/2 - 7396*p = 0.\nAnswer: -8, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/2 - 2\/(-4). Let r = b + -3. What is the units digit of (r\/2)\/(-5)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d*d**(-4))\/(d**(2\/7)\/d)**(-20)*(d**(-2\/5))**8\/(d*d\/d**(-1)*d)**(-13) assuming d is positive.\nAnswer: d**(1313\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 41*d + 38*d - 396 = 0, -172 = -h - 4*d. Calculate the highest common factor of 43540 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 24707?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from annaanaannnnnnnnnan.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((42\/(-7))\/((-3)\/(-2)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2679977, -5359936, -8039941, -10720016, -13400185, -16080472, -18760901?\nAnswer: -21441496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 27. Suppose 2*b = 3*a - 55, a - 47 = 2*b + 2. Calculate the smallest common multiple of 26 and d(b).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1461 and -40\/3.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462191167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 5 (c) 7 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**3 + f**2 + 9*f**3 - f + 7*f**3 as r*f**3 + o*f**2 + c*f + u and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -41. Suppose 16*q = 4*q. Solve 0 = -5*f - q*f - s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149203540 smaller than 149203540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*a**3 + 99*a**3 + 141*a**3.\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89095 and 6737485.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*w - 16*w**2 - 258*w + 109*w**6 + 1113*w**6 + 18*w**2 wrt w?\nAnswer: 146640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -0.10292.\nAnswer: 0.061752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 5*u + 3*u)*(7 - 46 - 2) to the form p + m*u and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102203 (base 4) to base 3.\nAnswer: -1121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 1. Let w(p) = 3*p**2 + 11*p + 74. Give -5*d(r) - w(r).\nAnswer: -3*r**2 - r - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {q: 6, p: 7, u: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 - 503*x - 123. Let d be q(19). Solve 4*j - 5*i = 2, -62*i + 10 = -d*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 + 2*m**4 + 2*m**4 + (-8*m**3 + 6 - 6)*((2 - 2 - m)*(0 + 0 + 1) - m + m + 3*m).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 + 3)*(2 + 3 - 6) + 60 - 125 - 83)*(2*v - 4*v + 5*v) as a + g*v and give g.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 12*p + 11 + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5929 + -5931. Which is smaller: 929 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y - 8. Suppose -5*k + 6*o = 2*o - 123, 0 = -y*o - 8. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, 10, -1.1, 4, 1\/4, -2\/15 in descending order.\nAnswer: 10, 4, 1\/4, -2\/15, -4\/13, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27851088 - 7*m - 55702167 + 27851079.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10203 - -10202.42. What is the nearest to m in 2\/7, 4, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0393097 take away 7.2?\nAnswer: -7.2393097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -51 - (-5 + 5 - 26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -111*t + 11533. What is b(104)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = 0, -2*c + 5*t + 36 = 4. Let s(q) = -4*q - 8*q**2 + 4*q - 8*q + 16*q - q - 1. Let d(i) = 15*i**2 - 13*i + 2. Determine c*s(p) + 6*d(p).\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 631 in 0.5, 4, 162, 10, 5?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 238*d + 681*d - 447*d + 20 = 0, 0 = -2*x - 4*d + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -216. Suppose -40*k - 23144 = -w*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(60*h**3 + 67*h**3 - 13*h**3) + (-3*h**3 + h**3 + 3*h**3)*(-2 - 1 + 2) + 2*h**2 - 2*h**3 - 2*h**2 as k + g*h**2 + w*h + n*h**3 and give n.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Suppose 0 = -3*h + 7 - n. Let p = -451 + 454. Solve -p*y + h*y + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 450, 1648, 4996, 11568, 22438, 38680, 61368?\n\"Answer: 179*c**3 + c**2 - 58*c + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -24*y + 88 + 82. Sort -2, -6, -4, y, -5 in descending order.\nAnswer: y, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-33 + 5))\/((-5)\/50)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z = 78*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49428083 is divided by 3089255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 14. Does 8 divide w(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*c - 455, c - 141 - 28 = 3*b. List the prime factors of c.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1060 - 1051.81. What is x rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 - -6.8. What is the biggest value in -0.7, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4097 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/11 + 684*m**3\/11 - 46514*m**2\/11 - 186048*m - 1627648 = 0. What is m?\nAnswer: -16, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/58 and -9\/422.\nAnswer: 12238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 3*a + 5*a - 4*a to f + z*a and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -6*h + 1753. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1067072882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2554052, 5108004, 7661956?\n\"Answer: 2553952*c + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2*l**2 - 31 - 16 - 12 + 121 - 25.\nAnswer: 2*l**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*b + 241*b - 12 = 129*b - 62. Solve 8\/9*z + 0 + 2\/3*z**3 - 16\/9*z**b - 2\/9*z**5 + 4\/9*z**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/5 - (-2664)\/560 and 109\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35556 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 438048 and 11830.\nAnswer: 15331680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -874 divided by 38.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 330?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -12 - (0 + 4) - 4. What is the remainder when 187 is divided by 15\/6*((-222)\/u - 7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 3*h**2 + 2*h - 1. Let j be l(-2). Let m(w) = -180*w**2 - 1979*w + 15. Let r be m(-11). Sort 0, r, j in descending order.\nAnswer: r, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 + 8084 = t + 2*u, -3*u = 5*t - 38206. What are the prime factors of t?\nAnswer: 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1824 + -1828. What is the second biggest value in 0, 13, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-1 - (-228 - -228).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 9 - (12*2\/(-3) + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/2*r**2 - 40*r - 5\/2*r**3 - 30.\nAnswer: -5*(r + 2)**2*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from vvvvvvvvvvvvvvvvtvvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-20)\/(-140) + (-2)\/(-84).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (159 - 58) + -59.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67114, -134256, -201430, -268636?\nAnswer: -335874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/21, -4, 1\/3, 10864.\nAnswer: -4, 0, 2\/21, 1\/3, 10864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5 + 5 + 6 - j - 4. List the prime factors of i(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j + 5*j. Let u = 20 - 5. Suppose 2*h = 5*h - u. Solve -5*c - 2 = -4*d + 2, j = -2*c - h*d + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-408)\/3*(6 + -4). Suppose 2*n - d = 179, -4*n = -4*d - 96 - r. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 12) to base 2\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/10*6695\/(-618). Let i(q) = -q**3 - 6*q**2 + 2*q + 7. Let b be i(-6). Let l = b + 1. Do l and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 9. Suppose 2*k + 38 = -26. Let n = -23 - k. Let u(i) = -i**2 + 2. Let a(v) = n*u(v) - 2*d(v). Let o(t) = 2*t. Calculate o(a(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/((-32)\/44400). Let t = -1178 + j. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3733*b + 20832 = 3817*b. Calculate the least common multiple of b and 186.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18496 = 256*r + 322*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d + d)*(0*d**2 - 2*d**2 + 0*d**2) - 941*d**3 - 392*d - 11 + 11 + 392*d as f*d**2 + q*d + b*d**3 + v and give b.\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1787.7 + 1712. Let q = 76 + b. Let o = -4\/7 + 51\/77. Put o, q, -1\/12 in descending order.\nAnswer: q, o, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 + (6 - (-1 - -3)). Suppose -2*n = 3*n + b*j, n + 4*j = -6. Let -n*t**3 - 206*t**2 + 5*t**3 - 6*t + 203*t**2 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/2 - 0 - 2. Suppose -w*u + u = 0. Are 6\/7 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from ljglgjggaaejglggj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 807571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4282 to two dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -11*z**2\/2 - 5*z - 81. Let a(v) = 3*v**2. What is a(s(k))?\nAnswer: 363*k**2 + 330*k + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41097 and 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/5)\/((((h\/h**(1\/4))\/h)\/h)\/h))\/(h**6\/((h\/h**(-1\/3))\/h*h))*((((((h*h**(-1\/3))\/h)\/h)\/h)\/h)**(20\/11))**(1\/7) assuming h is positive.\nAnswer: h**(-6287\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 1 + d - 3*d + 46*d**3 + 0. Suppose a - 5*s = 4*a - 48, a = 2*s + 16. Calculate the remainder when c(1) is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - 2619*r**2\/5 - 34264*r\/5 + 126336\/5.\nAnswer: (r - 2632)*(r - 3)*(r + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -302839.33 - -0.069?\nAnswer: -302839.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*p - 5*p. Suppose p = -5*o - 3*l, -2*o + 24 = -l - 3*l. Solve -3*r = -o*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*v + 14. Let y(w) = 26*w + 211. Let s be y(-8). Suppose 120 = v*m - s*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8386695 and 3060.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16557520 divided by 5?\nAnswer: -3311504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 1 + sqrt(1088) + -1*(sqrt(1088) + sqrt(1088) + 1)))**2 + 4.\nAnswer: 512*sqrt(17) + 17476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-54) - 17756\/(-10422).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 60 = 3*p + p, -4*h - p = -27. Suppose -3*m + h = -b, -4 = -2*m + 2*b + 4. Suppose -m*l = -5*z + 1698 + 275, 0 = -z + l + 397. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70012 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330363 = 96*g - 1364229. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + 3*k - 2*k)*(5*k**2 - k**2 + k**2) + (-2 + 2 - 3*k)*(0 + 0 + k**2) as x*k**2 + o + y*k + t*k**3 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3092710 or 6185419\/2?\nAnswer: 6185419\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzzkkmkmzmky. What is prob of picking 1 k, 1 m, and 2 z?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759644157 - -2464495.\nAnswer: 762108652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -119, -167, -215, -263, -311?\n\"Answer: -48*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4664264 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1896224 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -7609*g + 7569*g + 8, -r + 2*g + 2 = 6*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -87. Let u(c) = -c**3 - 3*c**2 - 3*c - 4. Let a be u(-3). Suppose 5*x + 0 = -a. What is the third biggest value in x, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - 5) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0c6 + -663?\nAnswer: b863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109843663*x**2 - 113113493 wrt x.\nAnswer: -219687326*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398*2197.\nAnswer: -874406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*c - 32, -2*c + 58 = 4*d - 0*c. Let m(t) = t**2 - 11*t - 1. Let v be m(d). What is the greatest common factor of 88 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.19 (b) -4 (c) 0.01 (d) -3\/4 (e) 3 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + -5. Let s(m) = m + 17. Let h be s(p). Let t(u) = -u**3 + 29*u**2 - 77*u - 23. Let a be t(26). Solve -h*n = 2*i - 12 - 8, 6 = a*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k**2 + 3*k)*(-12 - 9 - 1357*k + 1358*k) + (2*k - 4*k - k)*(27*k**2 + 19*k**2 + 2*k**2).\nAnswer: -145*k**3 + 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**3 - 9*f**2\/2 + 20*f + 165. What is the smallest common multiple of q(3) and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*g + 4*b, -3*g + 6 + 84 = 5*b. Calculate the remainder when 58 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5329516309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a - 36. Calculate the lowest common multiple of 10 and d(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e34c (base 15) to base 13.\nAnswer: 35b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:58 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17.06. Let o = 0.47 + i. Round o to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180080, -720320, -1620722, -2881286, -4502012?\nAnswer: -6482900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 11. Suppose -9*d = -13 - 23. Suppose -5*o = -j - d. Solve 0 = -3*c - o*k + 9, c - 3*c - 5*k + 17 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(8\/(-6))*(-95 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 - 167 = 2*p. Suppose -35 = q - p. What is the greatest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 968\/3 - 2\/(-6). Let m = 20569\/3870 + -8\/215. Find the common denominator of m and 2\/5 - c\/(-80).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 28*p**2. Let o(s) be the third derivative of -s**5\/24 + 11*s**3\/2 + 2*s**2 + 13*s. Let l(j) be the first derivative of o(j). Determine l(q(v)).\nAnswer: -140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) - (-15)\/10. Solve d + 1 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 221254.\nAnswer: 45\/221254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 25*x - 199. Let g be p(6). Let z(r) = 4*r + 5 + 3*r + r. Let t be (-4)\/14 - (-44)\/7. Let i(j) = 17*j + 11. Determine g*z(o) + t*i(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -96618 to the nearest 100.\nAnswer: -96600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 152 = -97. Suppose w*v = -10*v + 105. Solve -2*y - 5*x - v = 0, 0 = y + 5*x + 6 + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:34 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 l, and 2 j when four letters picked without replacement from jjljrllmlm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 31. Let q be k(13). Let n = 39.5 - 40. Sort 25, n, q in decreasing order.\nAnswer: 25, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 74797611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10119 a factor of 1514242094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -89. Suppose g = 2*z - 5 + 3, 5*z = 4*g + n. Let c(i) = 15*i**2. What is c(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o. Let s(t) = -3569143*t**2. Calculate r(s(b)).\nAnswer: 21414858*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose 0*c + u*c - 18 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 138a9 + -386?\nAnswer: 13523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132609 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:30 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -536902368 divided by 67112796\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -100. Suppose i*o + 610 = -f - f, 2*o + 307 = f. Let n = -23 - o. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 657\/45 + (-4)\/(-10). Suppose -x = 2*o - 5*o. Let w(q) be the second derivative of q**3\/2 - 106*q. Let m(b) = 7*b - 1. Determine o*w(c) - 2*m(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1066 - 1064. What is the closest to d in -0.1, 0.06, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmu when three letters picked without replacement from dmmdmmdmmmmmmdmudmgm.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-1)\/(-1 + 5\/4). Let z be ((-16)\/(-10))\/(-4) + v\/10. Sort 4, 33, z.\nAnswer: z, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/(2*(-1)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19048297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 1. Suppose 24 = 4*i - 7*i. Is o(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 5512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126987.54 rounded to the nearest 100?\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2722, -4023, -5324, -6625, -7926, -9227?\nAnswer: -10528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, 1, 3 in increasing order.\nAnswer: -138, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28336140 by -315.\nAnswer: -89956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(208)*5 + (sqrt(13) + 1*sqrt(468) - sqrt(832)\/sqrt(4)).\nAnswer: -57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5)*(-2*l + 3*l + 4*l)*(11*l - 4*l - 2 + 23*l) in the form v*l + w + k*l**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65432 >= 65432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 13*p = -5*s - 17, -p - 19 = 3*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1086599\nAnswer: -434639.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, l: 1, s: 2, e: 1, i: 1}. What is prob of sequence ei?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 + -1.1. Which is the second biggest value? (a) n (b) -1\/2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(13\/3 + -4). Calculate the remainder when 12\/18*n\/(-2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 329141*i**3 - 27084930544*i**2 - 243737715204*i.\nAnswer: -i*(i + 9)*(i + 164566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 3) to base 2\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*1*(1 + -49). Let t = -2010\/7 - f. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from pppppgppgpgpppggpgp?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63506?\nAnswer: 2, 113, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.08941 and -3?\nAnswer: 24.26823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -566739 greater than or equal to -566750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -44, -67, -90?\n\"Answer: -23*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*4)\/((-33)\/((-11286)\/228))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {s: 1, n: 2, m: 1, w: 2, p: 4, q: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 8*o**2 + 2*o**2 - 5*o.\nAnswer: -6*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*q = 88, -2*k - 4*q + 38 = -6. Suppose -4*i = -k - 90. Calculate the lowest common multiple of i and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -49*m + 3. Let j(t) = 48*t - 2. Give 3*f(c) + 4*j(c).\nAnswer: 45*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251599.29 months in years?\nAnswer: 20966.6075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06222 less than 12?\nAnswer: 12.06222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 3*u**5 + 2*u**5 + 0*u**3 + u**3 + 6*u**5 - 4*u**5 + (-u**2 - 2*u + 2*u)*(6*u**3 + 8*u**3 - 6*u**3).\nAnswer: -8*u**5 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 5*l - 5. Let z(m) = 3*m**2 - 4*m - 4. Let f(h) = -3*h - 2. Let t be f(-2). Let j be 6\/21 + 37\/(-7). Calculate j*z(c) + t*n(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -130, -1, 5 in descending order.\nAnswer: 5, 1, -1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52 - 3293\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -616.245 and -55.\nAnswer: -671.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17737*q + 620822. Let h be k(-35). Factor -3\/4*a**3 + 57\/2*a**2 - 219\/4*a + h.\nAnswer: -3*(a - 36)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3122020 rounded to the nearest 1000?\nAnswer: -3122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 3*a - 4. Suppose 2*c + 9 = -c. What is the tens digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*g - 4*l + 19 = -100*g, 5*g - 11 = l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -8.09. Let l = v + 9.2. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 109, 54, -2, 4, 56.\nAnswer: -2, 0, 0.5, 4, 54, 56, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(500)*1*-3*4 + -5 + 5*(0 + sqrt(500) + 2))*4*-3)**2.\nAnswer: -619200*sqrt(5) + 133131600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0322 + 0.0678. Which is the closest to l? (a) 0.2 (b) 0.4 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3*k - 4*k)*(2 + 2*k**2 - 2)*(k - 3*k + 3*k).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = 3*n - 3*x, -616 = 7*n - 5*n - 4*x. Let i = n + 303. Let w(k) = k**3 - 2*k**2 - 2*k + 1. Let z be w(3). Sort z, i, -4 in decreasing order.\nAnswer: z, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 13*u - 14. Let l be p(12). Let o be 4 + -6 - 1*l. Let q be ((-2)\/(-15))\/(12\/(-15)). Which is bigger: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*y - 2 - 5*y**3 - 45*y**2 - 13 - 120.\nAnswer: -5*(y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5513952.44 rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbttbtbttbttt. What is prob of picking 1 b and 2 t?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-6 + 9*o**2 - 2*o**3 + o**2 + 5 + (-4*o**2 - 2*o**2 + 3*o**2)*(0*o - 3*o + 2*o)).\nAnswer: 2*o**3 + 20*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2959.7 rounded to the nearest 10?\nAnswer: -2960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*f - 25 - 24*f**2 + 40*f**2 + 1 - 17*f**2.\nAnswer: -(f - 8)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 18, 27, 34, 39, 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3 - 7434. Let z(q) = 39*q + 2. What is z(b(h))?\nAnswer: 117*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z + 8. Let n be (11 - -94)\/(z*(-2)\/(-4)). What is the greatest common divisor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -193, -359, -569, -823, -1121, -1463?\n\"Answer: -22*k**2 - 56*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, -1858, -3017, -4330?\nAnswer: -5797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:11 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6950378 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyyydyyyddyyccd. What is prob of picking 1 y, 2 d, and 1 c?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3638963009.99999906 - -3638963087. Let c = 111 - 34. Let o = c - h. Round o to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -17 - ((-24 - -9) + 4 + 9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6 + (-3 - -5)) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -97*797\nAnswer: -77309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 397 + 1095.62.\nAnswer: 1492.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let g be v(0). Let z(m) = 11 - 2 - 2*m**2 + m + 3*m**2. Let u be z(g). Calculate the greatest common divisor of u and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17932055 - 4?\nAnswer: 17932051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 3, -300 in descending order.\nAnswer: 3, -2, -5, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.47 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 430*r**3 + r**2 + r - 1. Let l be j(1). Let n = l - 285. What is the second derivative of -5*s**4 - 5*s + n - 146 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -96. Sort c, -5, 0.1, 13 in descending order.\nAnswer: 13, 0.1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -654241 and 0.3?\nAnswer: -196272.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 20*m - 691. Give i(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -264794351*a. Let x(d) = -2*d. Give x(t(j)).\nAnswer: 529588702*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157149440 divided by 491092?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-87)\/3*-1*1. Let x = 10 + i. What is the remainder when x is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-56)\/(-8))*(-20)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 1, t: 1, d: 2, k: 2, f: 3}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1828, -6430, -14070, -24736, -38416?\nAnswer: -55098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23227 * -17060\nAnswer: 396252620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -14. Suppose -4*a - 995 = -u*i, 0*i + i - 199 = a. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455801550 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 14. Give t(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - 3 - (-32 + 0). Suppose 9*i - 4*i + 4*r = -12, 15 = -5*r. Suppose i = -4*x + a + 105. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = -20*n - 59 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 862273.9 millilitres?\nAnswer: 862.2739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2463*o + 1260*o - 27358*o to c*o + h and give c.\nAnswer: -23635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -115*j**2 + 1161*j + 1054. Calculate v(11).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 264 - 16. Let u = 353 - k. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-198) - 111374\/(-46134)?\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o. Let b be -3 + 7 - o\/(-1). Solve 12 = -3*t, -3*f + b*t - t = 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71127 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1986, -2031, -2076, -2121, -2166?\nAnswer: -2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*-1*((-1661)\/1331 + 1)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/2 + 10*b**3\/3 - 8*b**2 + 8*b - 27. Determine o, given that c(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = 11. Let z be (-36)\/48 - k\/(-4). Sort -2, z, 7 in ascending order.\nAnswer: -2, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 30 = -19*f - 3*g, 0 = 5*f + 5*g - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12123134 + -1?\nAnswer: 12123133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z + 16. Let u = -1356 - -1354. Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 2*o**3 + o**3 + (-2 - 3 + 3)*(-o**3 - o**3 + 3*o**3) - 3 + 2*o**3 + 3*o**2 - 3*o**2.\nAnswer: -o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -45*d**3 - 9*d**2 + 24*d - 18. Let q(z) = z**3 + z**2 - 3*z + 2. Give -9*q(g) - r(g).\nAnswer: 36*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -106 and -29450?\nAnswer: 3121700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 553317410 to the power of 1\/2, to the nearest integer?\nAnswer: 23523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 112*k**2 + 129*k**2 + 118*k**2 - 361*k**2. Let w(l) = 33*l**2 - 75. Give w(t(j)).\nAnswer: 132*j**4 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csw when three letters picked without replacement from {c: 2, w: 1, s: 4, b: 1, j: 9}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let i(r) = 4*r**2. Let u(s) be the second derivative of -s**4\/4 - 8*s. Let n(z) = -3*i(z) - 6*u(z). What is a(n(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 + 208. Let u be 4 + t\/(-21)*-13. Factor u*w**2 + 6\/7 - 8\/7*w.\nAnswer: 2*(w - 3)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87871, -175872, -263883, -351910, -439959, -528036, -616147?\nAnswer: -704298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5*x**4\/4 + 10*x**3\/3 - 5*x**2\/2 - 10*x + 7. Factor d(p).\nAnswer: 5*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3691 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/19 (b) -4\/129 (c) -5 (d) -2 (e) 3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/1*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45839.85ng?\nAnswer: 45.83985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*x**2 - 5 + 13*x**2 + 0.\nAnswer: -99*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -20 (c) 313 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-115 - -32) - (6 - 2)) + -18\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1900, 1892, 1884, 1876, 1868, 1860?\n\"Answer: -8*b + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.5916 * 2\nAnswer: 13.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*w - 112, 5*h = 3*w - 8*w - 200. Let o be (-20)\/((h\/112266)\/((-3)\/7)). Round o to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 3. Let p be a(-2). Suppose -8 = p*k - 6*k. Let o be (-60)\/k*92*-100. Round o to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1362677559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.016, -29, -4, 3\/92, -0.3.\nAnswer: -29, -4, -0.3, 0.016, 3\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -4*o. Let l be 48\/(-40)*o\/1. Solve 2*d - l*d + 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 0 + 2)*(4 + 0 - 3) - 1 - 3 + 3)*(2*d**3 - 5 + 5 + (-2*d - d + 2 + 0*d)*(0*d**2 - 6*d**2 + d**2)) as u*d**2 + h*d**3 + c*d + k and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -7. Suppose -3*l = 4*a - 136, -l - a = -g*l + 219. Suppose 3*k - l = 445. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -18. Suppose 0*n = -2*n + 10, b = 4*t + 2*n - 142. Let l = -20 + t. Solve -u = -2*q - l, -3*q = -4*q + 4*u - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 9206663164.\nAnswer: 9206663163.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16\/(-1 + (188\/(-180))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1401901573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*r + 83 - 83.\nAnswer: 164*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 265801255\nAnswer: -2\/265801255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = 10, -4*z - 6150 = -2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33110012121 (base 4) to base 3.\nAnswer: 21112221211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105370484?\nAnswer: 2, 26342621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1*sqrt(1584))**2 + sqrt(11) + sqrt(11) - sqrt(11)) + sqrt(11) + -5 + -5).\nAnswer: 12*sqrt(11) + 9444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1871 - -1873. Factor 8\/7*w + 8\/7 + 2\/7*w**f.\nAnswer: 2*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*q = -258816, -4*q = -5*h + 238725 + 84764. What is h rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 - 156*c**2 - 200?\nAnswer: 4*c**3 - 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116468 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**2 + 1. Let k be h(-1). Let w = k - -4. Suppose 3*s = -2*s + 20, -92 = -w*g - 3*s. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -87.6. Let a = 0.06 - -0.94. What is the closest to -2 in 2\/7, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 3. Calculate the remainder when 125 is divided by o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/4 + 3*v**3 - 13*v**2\/2 + 10. Let u be q(6). Calculate the common denominator of -27\/22 and (-38)\/u*(-3)\/(-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027049 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*f**2 + 11826276*f - 96322867788.\nAnswer: -3*(11*f - 179186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose 2*l - 3*y - 15 = -2, q*y = -5*l + 1. Suppose -2*i = -l*s - 21 - 11, 2*s = -i + 13. Calculate the remainder when 28 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -2*u**3\/3 - 2*u**2 + 22*u. Let r be c(-1). Suppose -2*m + m + 14 = r. Calculate the remainder when 63 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 237\/5197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3456*y - 1728*y - 1726*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112029*k + 112029*k - 7*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 25*r - 1320. Let u be z(42). Calculate the greatest common divisor of 72 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4.7. Suppose -44*m + 45*m = -3*t - 3, 25 = -5*t - 5*m. Which is the third biggest value? (a) k (b) -0.2 (c) t (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + 1022?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/(n\/(n\/(n\/((n*n\/n**0)\/n*n)*n))))*n*n*n))**(-7\/2)\/(n\/(n\/n**(-2\/3)))**(-13\/5))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 4714\/8. Suppose -4*d - z = i, -518 - 66 = 4*d - 4*i. What is d rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101000010100001111 - -1?\nAnswer: -1011101000010100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -26*a + 21. Let j(n) = 6*n - 2. Let p(t) = 4*g(t) + 19*j(t). Determine p(-14).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5380680 by -6.\nAnswer: 896780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p - 3. Let l be i(-3). Suppose -4*f - 3*s = 44, -f - 2*s = 2*s - 2. Does 9 divide ((-36)\/f)\/((-3)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) -3\/5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1660189 (base 12) in base 16?\nAnswer: -463ef9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-216) - 1\/8)*-4. Which is the second smallest value? (a) 3 (b) u (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-126)\/(-105) - 0)\/((-1)\/(-35) - 0). Solve j*f - 106*f = -256 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38822)\/2590 - -15) + 0\/(-2)?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20314789, 20314784, 20314779, 20314774?\nAnswer: 20314769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p + 72. Let n be u(-14). Suppose -19 + 15 = -n*i. Solve -4*v = -i*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 218878, 0.266, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(-24)*2\/3. Which is greater: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8678307ug to tonnes.\nAnswer: 0.0000000000008678307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 20. Calculate the remainder when b(15) is divided by ((-8)\/10)\/(1\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -2*i**5\/35 + 8*i**4\/21 - 5*i**3\/21 - 25*i**2\/7 + 10*i. Solve j(s) = 0 for s.\nAnswer: -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*m. Let n(g) = -3 + 2*g**2 - 23*g + 20*g + 4*g**3 - 3*g**3. Let w be n(-2). Put m, -2, w in increasing order.\nAnswer: -2, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d - 16*d + 10*d + (-2 - 1 + 2)*(1 + 2*d - 1) - 3*d - 1 + 1.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121508 and 9031.\nAnswer: 1336588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 + 0.05. Let v = -2.583 - -0.583. Which is the nearest to 0? (a) 0.3 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.5 + 49.7. Do r and 95 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.3 - -37.18. Let t = v - 6.08. What is the third smallest value in t, -0.1, 1\/3, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41858685049294 and 0.1.\nAnswer: -41858685049293.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 3)*(-4 + 0 + 2)*(44 + 3 - 5)*(60 - 3*c + c**3 - c**2 - 60).\nAnswer: -924*c**3 + 924*c**2 + 2772*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15478441 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.54 times -77728?\nAnswer: 197429.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 11. Let q(o) be the first derivative of o**4\/4 - 4*o**3\/3 + o**2 + 2*o - 6. What is the units digit of q(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 126*o**2 + 384*o + 246. Give k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/73))\/(q*q*(q*(q*q**20)\/q)\/q) assuming q is positive.\nAnswer: q**(-1531\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 4*j. Let n = -2 - j. Let f(s) = -2*s - 10. What are the prime factors of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1 (c) -56 (d) 6\/7 (e) -5 (f) -3\/136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.8 - -36.4. What is the closest to 0.16 in -1\/3, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:36 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8740946 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let v be (6 + -4 - 2) + 2. Let u(d) = d**3 + 9*d**2 + 8*d - 2. Let g be u(-8). Let a = g + v. What is x(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1646*b*k**3*l**2 + 2*b*k**2*l**2 + 91*b*k**2*l - b*k - k**3*l + 22*k*l**2 - l**2 wrt k.\nAnswer: -9876*b*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**6\/60 + 3*q**5\/50 - 2*q**3\/15 + 5. Factor h(a).\nAnswer: a**2*(a - 1)*(a + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 136 = 9*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 35, -11*b + 226*f + 30 = -10*b + 231*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4573336 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(12\/(-2)*(-950)\/(-300))\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1.043959.\nAnswer: 0.5219795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1525828 - -3?\nAnswer: -1525825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1.105?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*f - 357*f = 129*f - 12426 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y - 29 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o = 24*o + 27. Let r(y) = 11*y**2 + 8*y - 16. What is the hundreds digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = 249 + 329. Which is the nearest to -0.1? (a) 1\/5 (b) m (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 1, -5.\nAnswer: -5, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63905 * 6.\nAnswer: -383430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvtkiegi. What is prob of sequence eiit?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 4*a**2 + 4*a**2)*(-1282 + 99*a + 1282).\nAnswer: 198*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 5\/2 (b) 1.3 (c) 15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 553 (base 12) to base 11\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8215389359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7221 - -17416. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 0*v**2 - v**2 - 3*v**2. Let y(x) be the first derivative of -7\/2*x**2 + 0*x + 11. Determine y(d(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - -2*sqrt(64)) + sqrt(4) - 6*(-2*sqrt(4) - sqrt(4)))\/(-3*sqrt(242)*2).\nAnswer: -14*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b + 3a0598?\nAnswer: 3a052d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-16632)*-44)\/(18\/714)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-58 - -6) - 5) + (-5 + 10 - 5).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89393 is divided by 1700?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.762 - -1.238. Let y = 0 + -1. Let s be -1 + (-3)\/((-18)\/10). What is the closest to 0.1 in y, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/503, 35.3, 4, 1\/2, -1, -1\/3?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 10:51 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p + 9. Let o be i(8). Let n be 1\/(((-4)\/o)\/4). What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12377 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*n**3*q - 102*j**2*n**3 + 2*j**2*n**2*q + 6*j**2*q + 10*n*q - 2 wrt n.\nAnswer: 6*j**2*q - 612*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 42 (b) 287 (c) -3\/5 (d) -3 (e) 1\/196\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 86, 172, 256, 338?\n\"Answer: -i**2 + 89*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -83\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 - 1010101100001?\nAnswer: -1010011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 4 + 11988844*m**3 - 11988826*m**3.\nAnswer: 18*m**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/100*-35)\/(4\/(-40))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 4*g - 5*r, 2*r + 89959 = -3*g + 90020 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/10 + 9*k\/5 + 243\/10 = 0.\nAnswer: -9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 589*u**3*v**2 + 92*u**3*v - 3541*u**2 + 289687809*u*v**2 - 2*u - 2*v wrt u.\nAnswer: 3534*u*v**2 + 552*u*v - 7082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5631565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 7*j - 2. Let r be w(6). Let n be (1 - (-1)\/(-4))*r. Let x = n + 0. Which is the second biggest value? (a) 1 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:12 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.77937 decades to months.\nAnswer: 9453.5244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 478794050 + 10\nAnswer: 478794060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, -1246, -5452, -13958, -28198?\nAnswer: -49606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9997.6672 minus 0.004972?\nAnswer: -9997.672172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (19 - (-54 + 55))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-6)\/(9\/3). Suppose f = 2*o - 2. Determine x, given that 8*x**o + 16*x**3 - 3 + 4 + 2*x**5 + 6*x + 6*x**2 + 9*x**4 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801781777.\nAnswer: 373, 643, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/12 - 19*t**4\/24 + 9*t**2. Find the second derivative of c(b) wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*d - 30 - 4 = 0, -5*d - 1 = -n. Factor n*f**2 + f**3 - 2 - 3*f - 11*f**2.\nAnswer: (f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 693 and 4620.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - s)*(-s + 3*s + 18*s)*(19*s - 19*s - 17*s**3 + 2*s**3 - 2*s + 2*s + (s**3 + s**2 - s**2)*(-1 + 3 - 3)).\nAnswer: 320*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 20. Let k = 14 + y. Is 10 a factor of 30*k\/(-20)*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.3006ns to milliseconds.\nAnswer: 0.0009563006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 6. Suppose b = -b - 3*t - 6, -16 = -u*b + t. Solve 0 = -4*q + g - 12, -b*g = 2*q - 4 - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 2*s - 7. Calculate f(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*m + 3715, 4146 = -4*i + 5*m + 1174. Let d = i + 2230\/3. Factor -1\/3*n + 1\/3*n**3 + d*n**4 - n**2 + 2\/3.\nAnswer: (n - 1)**2*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i - 10882 = -43492. What is the remainder when i is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (648\/4914)\/((-57)\/21 + 3)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3\/3 - 155745*k**2 - 467230*k\/3 = 0. Calculate k.\nAnswer: -93446, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 10) in base 13?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 + 11*m + 17. Give o(-6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15076*x**5 - 14600*x wrt x.\nAnswer: -301520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-1)\/20*-4)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8614933?\nAnswer: 89, 96797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/4, 0.088, 1, -0.1, -1.5, -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(-3) - (-1700)\/2550?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 10. Suppose 1 = 4*f + m. Is f\/(-9) + (-88)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 1735 = 1765 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h - 3. Suppose 4*j + c - 50 = h*c, 5*c = -15. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189122 divided by 219?\nAnswer: -189122\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.164? (a) -3 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2459, 3388, 4159, 4694, 4915, 4744, 4103, 2914?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -184, -187, -204, -241, -304, -399, -532?\n\"Answer: -s**3 - s**2 + 7*s - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*u - k + 8, 0 = -u - 4*k - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + -20 + -8 + -12 + 18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1720 and 34128670.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014899 and 27.\nAnswer: -0.402273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-21)*(-826)\/531?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 76. Let l be 11\/22 + w\/(-4). Let y(x) = x**3 + 10*x**2 + 8*x - 5. Let s be y(l). Solve s*v - 11 = 3*a + 7, 2*a = -3*v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7694.\nAnswer: 2, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14919624 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*6*6\/(-27). Let l = w + -4. What is the first derivative of 3 - 3 + r + 2*r - l wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 + 4*x - 3. Let c be p(2). Let o = 18 + -8. Calculate the remainder when c + 2\/2 + 26 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:37 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(539) + 2.\nAnswer: 2 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1853190*l**4 - 1835700*l**2 wrt l?\nAnswer: 44476560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 5, 4, 3.27, -1\/4, -45, -2?\nAnswer: 3.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - ((-12 - 4) + -26)) + -17.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 16 = -8*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 10 = h. Suppose 0*u - h*y = u + 1, -3*u + y = -25. Suppose -3*b - 184 = -u*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 0.5, 2\/10367, 1\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 + 6*q + 14. Let j be b(-6). Differentiate -j*o**4 - 2*o**4 - 31 + o**4 + 1 with respect to o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124910945?\nAnswer: 5, 211, 118399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2201 - 11550?\nAnswer: -5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - -145 - (104 + 26)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 4*g - 22. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-378)*30\/20. Sort o, -3, 12\/7 in descending order.\nAnswer: 12\/7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 47763827?\nAnswer: 382110616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/27369520 and 44\/15.\nAnswer: 82108560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b**2 + 560*b - 495. Let l(n) = -2*n**2 + 70*n - 62. Let w(f) = 25*l(f) - 3*t(f). Suppose w(r) = 0. What is r?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 0*t - t - 2*t + 0 wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/39150 and 59\/2725.\nAnswer: 4267350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/44 and -105\/2312.\nAnswer: 25432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = 82*f - 78*f. Suppose 6*i + 351 = 3*i. Let t = i + f. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*i + 0 + 2 = 0, 0 = -5*w - 5*i + 15. Find the common denominator of 322\/9 + (-4)\/(-18) and (-4 - 44\/(-6))*(-11)\/w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(1*(-3289)\/(-598)*3*(-2)\/(-33)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*j - 546, 0*k - 3*j + 177 = k. Let n = k - 108. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*d**3 + 18325*d - 9162*d - 5 - 9164*d to p*d**2 + k*d + f + r*d**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, -74, 848, 2 in decreasing order.\nAnswer: 848, 2, -1, -20, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623, -1247, -1871, -2495?\nAnswer: -3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((450\/175)\/(-6))\/((-5)\/(-175)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/64 and 4*7\/(-672)*153\/(-11).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 9*m**2 + 5*m - 18. What is the remainder when j(9) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.009?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 124. Suppose g - 3423 = d*k, -g - k + 4801 - 1393 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -858, -1175, -1476, -1755, -2006?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-17)\/(-2))\/(12*13\/1560)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -35*g**2 + 2729*g + 78 = 0?\nAnswer: -1\/35, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/116920 and -53\/3330.\nAnswer: 1052280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -31. Let b be 4\/(-20) - 441\/(-5). What is the highest common factor of w and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a**3 + a**2 - 5*a + 5. Let o(d) = -d**2 - 39*d + 169. Let w be o(4). Let b(n) = 10*n**3 + n**2 - 3*n + 3. What is w*s(i) + 5*b(i)?\nAnswer: -7*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/8 + 17271*l\/4 + 8634.\nAnswer: 3*(l + 2)*(l + 11512)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(((h**(2\/61)*h*h)\/h)\/h))*h*h**(1\/14))\/(h**(2\/29)*h**(-5\/7)) assuming h is positive.\nAnswer: h**(43329\/24766)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let z = r - 2.1. Let p = 16 - 15. Which is the closest to z? (a) -2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11067384781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213462 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 4. Which is the second smallest value? (a) 3 (b) 33 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/48*(12 + (9 - 25))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 38 * -7\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*v - 5, -13*a = -8*a - 2*v + 3. What are the prime factors of (-2 - a\/(-2)*-2)*-967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31245 is divided by 250?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8698 in -1\/2, 887, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78897949 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, 0.5, -1221 in decreasing order.\nAnswer: 0.5, -14\/5, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*i - 28018 = 833*i + 44946 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/(-12))\/(-8) - (-1)\/(-8). Let c(s) be the third derivative of 3*s**2 + 0*s + a*s**4 + 0 + 1\/6*s**3. What is the first derivative of c(v) wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164 + -83. Let u = 80.9844 - b. Round u to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49375.94 milligrams?\nAnswer: 49375940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 1878 = -3*q - 33*y, -4*y + 25 + 251 = -155 + 107 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020011 + 111210120?\nAnswer: 122000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j + 3*j**2 - 4*j**2 + 33*j to w + k*j**2 + m*j and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 + 0.3.\nAnswer: 323.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(252) + -3*(0 + sqrt(252)) + sqrt(252) + ((sqrt(252) - (0 + sqrt(252)))*-2 - sqrt(252)) + sqrt(252)))**2*5.\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 21 = -0*f. What are the prime factors of (5 - 11 - f)*499\/(-3)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60213347 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22153 + -235?\nAnswer: -22432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*h = -3 - 9, 0 = -5*i + 2*h + 8. Let u be (-210)\/(-4) + ((-4)\/8 - 0). Suppose 2*f + i*f = u. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 30. Let g be (6\/(-21))\/((-7)\/196*4). Solve r*o**3 + 3\/2*o**5 - 6*o**g + 3\/2*o - 6*o**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 46184*m + 923655\/4.\nAnswer: (m + 5)*(m + 184731)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 - g + 1. Let f(a) = 3*a**3 - 6*a**2 - a - 2. Let o = 7 - 8. Let z(r) = -r - 9. Let c be z(-11). Let i(m) = c*d(m) + o*f(m). Give i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -3002211?\nAnswer: 3002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -25. Solve 7 = u + c - 0, g*u + 5*c - 29 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1)*(13034\/2128 - (-2)\/(-16))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 2)*-5*6)**2*1.\nAnswer: 10800*sqrt(5) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 12) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, e: 3}. What is prob of picking 2 g?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*d - 7*d + 4*b, 10 = -5*b. Solve -3 = -d*l - l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -457\/13?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*p**5 + 83*p + 2?\nAnswer: 4680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19454 - 58367 + 19452 + 20*n**2 + 19461.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252 (base 12) in base 4?\nAnswer: 1112132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -595*x**2 + 125*x + 35. Let q(b) = 99*b**2 - 21*b - 6. Let o(k) = -6*l(k) - 35*q(k). Let r(m) = 15*m**2 - 2*m. What is 2*o(i) - 15*r(i)?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 38*a**2 + 673*a + 6814. Calculate y(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002110 (base 3) in base 12?\nAnswer: -563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93.8 and 1.4.\nAnswer: 131.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053465528 rounded to 7 decimal places?\nAnswer: 0.0005347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -767 - -758. Let b be ((-13)\/78*u)\/(3\/26). Calculate the greatest common factor of b and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 48*y - 646. Let q be v(11). Which is the smallest value? (a) -2\/13 (b) q (c) -6\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q - q - 182 - 159 + 351. Let h(p) be the first derivative of p**2 - 1. Determine h(n(c)).\nAnswer: 12*c + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*q - 21*q - 7*q)*(14*q + q - 10*q)*(131 + 121 + 96*q - 253) to r*q**3 + z*q**2 + l*q + f and give z.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b233 (base 15) to base 8.\nAnswer: 562072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366244, 366242, 366238, 366232?\nAnswer: 366224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71\/4 - -18. Let g = 1344 + -1356. Which is the second biggest value? (a) g (b) 2 (c) m (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + -9 + 2 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 2, u: 3, n: 1, g: 9}. Give prob of sequence uddl.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 2425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:23 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 162 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-21) - (-412)\/6. Suppose -s = -3*j + 2*j. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 5614324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkknnukvvk. What is prob of picking 3 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 - (1\/(-1) + 2). Let j be 10\/65 + (-400)\/(-104). What is the greatest common factor of s and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 5. Let s be l(3). Let w(h) = h**3 - 2*h**2 - 2. Let m be w(s). Let r be (m + (-3)\/6)*-2. Solve -14 - 1 = -r*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4 - 77. Let m = h - -28. Let d be m*-1*(-3)\/(-1). Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122200012 (base 3) to base 7\nAnswer: -52364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:12 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*x + 32, 3*z = 7*z + 2*x - 22. Let d(v) be the first derivative of 1\/4*v**4 + 3\/2*v**2 + 1 - 4\/3*v**3 + 2*v. Give d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 37347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 1. Let c(w) = 2*w + 30. Let z be c(-12). Let f(t) = -7*t + 9. Calculate z*d(y) - f(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84212.\nAnswer: 2, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 5*i - 8. Let w be k(6). Let v be w + 6\/(3 - 0). What is the second derivative of 3*y + 3*y**2 + y + v*y**2 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*r**2)*(r**2 - 2*r**2 - 3*r**2) - 3*r**4 - 17*r**2 + 17*r**2.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 202, 196, 188, 178?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*t**2 + 3*g**3 - 3090*g**2*t**2 - 13624*g**2*t - 4*g*t**2 wrt t?\nAnswer: 4*g**3 - 6180*g**2 - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/19061?\nAnswer: -1\/19061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1486699 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/5 + 6*w - 72\/5 = 0. Calculate w.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89.2995672 and -0.2?\nAnswer: 17.85991344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let l = 1.6 + -1.6. Let g = -3 + l. Which is the nearest to h? (a) g (b) 0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**3 + 0 + 42*g - 7\/20*g**5 - 1\/6*g**4 + 1\/2*g**2. Determine q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(2 + 3 + 35). Find the first derivative of 13*k**2 - f + 2*k + 19*k**2 - 9*k**2 wrt k.\nAnswer: 46*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/6 - p**3\/3 + 2*p**2 - 2*p + 1. Let o(l) be the second derivative of u(l). Let c(b) = -b**2. Give o(c(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10235 and 5.5587?\nAnswer: 10229.4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -10, -5*n + 2*w = -30 - 9. Suppose b = -2*u + n, -15 = 3*b - 5*u + 2*u. Is b equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3 - (-1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -832ab9 (base 15) to base 16.\nAnswer: -5f2791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 254, 381?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10923628 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 26*t = 2*o + 190, 4*t = -5*o + 95. Solve 4*g = -2*z - t, -g - 5*z - 22 = 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 2. Let b(r) = -1. Let m(o) = 2*b(o) + l(o). Let s(g) = 3*g**2. Determine s(m(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/2478042 and -89\/126.\nAnswer: 2478042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**3 - 12*q**2 + q + 7. Let k(p) = 3*p**3 - 4*p**2 + 2. Determine -7*k(v) + 2*u(v).\nAnswer: -v**3 + 4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -30*i - 1406. What is r(-46)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*k + 16, 2*k - 11 = 3*n + 6*k. Suppose -n*r = 5*r - 40. Which is the second biggest value? (a) 0 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171, -138, -119, -120, -147, -206, -303, -444?\n\"Answer: -f**3 - f**2 + 43*f - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*u = -48, 42670*u - 42675*u = -n + 107 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 22 - 2 = 5*n, 3*n - 12 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -14. Let r be (a\/(-5) + 2)\/(-1). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w + 36. Suppose 7 = 2*x - 5. Find the common denominator of (-69)\/w*x\/(-7) and 39\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -40. Let v = r - -4.1. Suppose -10 = -0*i + 5*i. What is the second biggest value in 2\/9, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65653 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -23, -2, 1, -5.\nAnswer: -23, -5, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 8070?\nAnswer: 250170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3820 is divided by 116.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12613*v**4 + 57805*v**2?\nAnswer: -302712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312206 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, r = u + 9 + 7. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16645*d + 162 = -16649*d - 6*x, 0 = d + x + 41 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11668450?\nAnswer: 2, 5, 109, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtddwxwwdddddd. What is prob of picking 2 d?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1767, -4 in ascending order.\nAnswer: -4, 5, 1767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91248672 not equal to 91248673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6497557692 to 3 dps.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -54, -83, -112?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11395 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/11)*b)**(-37)*((b*b\/b**(-2))\/b)**(10\/7) assuming b is positive.\nAnswer: b**(-1483\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4848763*m**6 - 237*m**2 + 71*m - 44?\nAnswer: 581851560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23186356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4772955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 282, 196, 126, 78, 58?\n\"Answer: o**3 + 2*o**2 - 99*o + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/72 and 31\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6058\/932*2*2\/(-4))\/((-26)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1462 - -1462. Solve b = 5*n - 5*a - 20, -n + 4*a = -10 - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x**2)\/(x*(x*x*x\/x**3*x*x)\/x)**(-40) assuming x is positive.\nAnswer: x**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 2*s - 1. Let o be j(-2). Suppose -2*l + 27 = -m, o*l + m = 64 - 16. Suppose 5*c - 6*c = -l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-489775)\/(-22)*576\/(-60). Round m to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*f - 3, -u - 9*f + 34 = -5*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(6 - 6 - 112*f**3 + 305*f**3).\nAnswer: -579*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -1. Suppose -5*c + 7 + 1 = 3*k, -3*k + 16 = c. What is the highest common factor of m and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -49. Let a = n - 55. Solve -3*b - w + 12 = 0, -3*w - 3 = -2*b + a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 128110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 78\/4*(-46)\/69?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216360628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -225*u - 1477. What is the units digit of i(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111974519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 15*n + 25. Let k be r(8). Which is smaller: -160 or k?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = r - 4*u, -r - 2*r - 2*u = 14. Let h(s) = -122*s**2 - 5*s + 3*s - 2 + 151*s**2. What is the tens digit of h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*d + 12*d - 15*d)*(-472*d**3 - 36*d**2 + 72*d**2 - 36*d**2 - 488*d**3) as l*d + v + f*d**4 + t*d**2 + j*d**3 and give f.\nAnswer: -17280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = 36*a + 2502957 - 2504238 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvtleqttueuutqe. What is prob of picking 1 t and 1 l?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - 78)*2\/(-1). Suppose 4*k + 3*k - n = 0. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = -18*g + 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - (6 - 0) - (1 + 2). Suppose -4 - 2 = -4*b - 3*y, -1 = b + 2*y. Solve -s + b = -k + 1, v*k + 18 = -s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -42. Let w be (b\/(-6))\/(10\/(-8445)). Let o = -356 - w. Calculate the highest common factor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 6*u**2 + 5*u + 7. Let l be -9 - (4 + 5 + -17). Let w(v) = -v**2 - 6*v - 1. Let m be w(-8). Let t be m - -15 - ((1 - l) + -9). Calculate g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137222 (base 15) to base 9.\nAnswer: 1675055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tottnnthtttuhtnttto. Give prob of sequence htun.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161188781*n**3 + 250275356 with respect to n.\nAnswer: -483566343*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4872 - 0.0128. What is the nearest to 1\/3 in -1, f, -95, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91659.6 months in centuries?\nAnswer: 76.383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310562, 310533, 310480, 310397, 310278?\nAnswer: 310117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1347, 1372, 1397, 1422, 1447?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7619037*z**3 + 4909414*z**2 wrt z.\nAnswer: -45714222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/16 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 2*g**2 - 3*g + 1. Let q be w(2). Let o = -1981\/22 - -963\/11. What is the fourth smallest value in q, 1\/4, o, -0.11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.389 + 34.2. Let j = 0.011 - r. Let i = 0.698 + -0.198. Which is the closest to j? (a) -13 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(66\/(-15)))\/((-105)\/360*40\/28)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2021, 8638, 19853, 35666, 56077, 81086, 110693?\nAnswer: 144898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 10*d - 8437 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -21*y**3 - 9. Let v(r) be the first derivative of -5*r**4\/4 - 2*r - 11. Give -2*q(h) + 9*v(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 1\/4*c**4 + 0*c**2 - 5 + 22*c + 0*c**3. Calculate l(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10*c**(-16\/5))**(1\/25) assuming c is positive.\nAnswer: c**(34\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7. Let b = 142 + -1276\/9. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24014 - -24063. Solve -1267*i + 1260*i + f = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002826266 rounded to six dps?\nAnswer: -0.000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 235*v**2 - 17*v - 5. Let a(i) = 217*i**2 - 16*i - 4. Determine 7*a(q) - 6*u(q).\nAnswer: 109*q**2 - 10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7786 + 7784.2962. What is x rounded to 2 decimal places?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -36*l**2 - 3*l - 5. Let n(r) = -18*r**2 - r - 2. Let m(t) = 2*g(t) - 5*n(t). What is the units digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 6*x + 2. Let c(z) = 2*z**2 + 12*z - 3. Let j(m) = -6*c(m) - 11*i(m). Let a be j(-4). Sort -5, -2, a in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(((-6)\/(-69))\/(119\/2737)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 20569528?\nAnswer: 61708584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29829 - 14117. What are the prime factors of c?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1992.9 + -2094. Let m = -109 - x. Let f = -8 - m. Do f and -67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 2002*z**2 - 1257688*z + 1259688.\nAnswer: 2*(z - 1438)*(z - 1)*(z + 438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 229*q + 922. Give h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1630893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1579.649 to zero decimal places.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -9. Let k be (-5 + 1)\/(3\/q). Is (1 - -46)*(-4)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -25. Let m = h + 11. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j + 4. Let l = 11 - 10. Let q be ((-3)\/4)\/(l\/(-4)). Calculate the remainder when 75 is divided by h(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 170 + 355. Let g = -38 - -53. What is the highest common divisor of g and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-3))\/((-1)\/(-5)). Let i be x\/2*(14 - 6). Suppose -10*t + 15*t - i = 0. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 0.3694175442964?\nAnswer: -1.0694175442964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.019 (c) 0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 681.40522.\nAnswer: 681.40522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let n be 1\/(-2)*3*-2. Let b(p) = 13*p - n*p + p. Give k(b(m)).\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 32 = -y - 4*r, -4*y - r + 12 = 0. Which is the second biggest value? (a) 9\/25 (b) y (c) -2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 2*g. Let j = -555 - -558. Solve 35 = -5*o + 5*d, 3*o + g = -j*d - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.195252l?\nAnswer: 4195.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 769296493 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvevvvvevvvevev. What is prob of picking 2 v?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (99\/(-22))\/(2\/(-4)). List the prime factors of 61\/z + (-2)\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 4 - (-3 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:46 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 526780749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -2*z. Suppose z*d + 2*y + 2 = -3*d, 0 = 2*d - 4*y - 4. Let k(c) = -3 + c**3 + 0 + d*c**3. Give k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3*k**2 + 4*k**2 + (k + 3*k - 2*k)*(-5*k + 2*k + 2*k))*(-3 + k**2 + 3 - 2*k**3).\nAnswer: -12*k**5 + 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w - 1. Suppose b + 0*g - g + 4 = 0, -4*b + 16 = 4*g. Let h be l(b). Let p(q) = 7*q - 23*q + 4*q + 1. Calculate p(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 11.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j + 58*j - 8*a - 5*a + 141 = 0, 3*j - 5*a - 1 = -53 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-102)\/(-30) + (-6)\/15. Let b = -15 - -11. Sort b, 1, z.\nAnswer: b, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 + 169 - -84) + -89.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**7\/42 + d**4\/12 + 4*d**2. Find the second derivative of p(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(5)*-2))\/((sqrt(64)\/sqrt(4))\/sqrt(2)))**2*-6*1.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-56)*22844\/28555.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - 68\/60.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.2 (b) 33 (c) 0.3 (d) 16274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 17*x**2 + 23*x - 11. Give v(-6).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -0*f - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqffqfffqfqrq. What is prob of picking 3 f?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60, -120, -180, -240, -300?\n\"Answer: -60*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852705106.\nAnswer: 2, 7, 73, 1812823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2512387 and 106771.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -109. Let m(j) = j**3 - 6*j**2 - 9*j + 21. Let x be m(7). Suppose 18 = x*s + 2*s. Solve -z = d + 3, -5*y - 13 = s*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363 - 359. Let p be (2\/b)\/((-45)\/18). What is the smallest value in p, 0.2, -0.13, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 5)*(0 - 3 + 2) + 42 + 38 - 45)*(2*y + 4 - 4) in the form c + z*y and give z.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 127, -376, -877, -1376?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3536, -5481, -7426?\n\"Answer: -1945*m - 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 124*d + 169. Is o(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(6*m**3 - 3*m**3 + 2*m**3)*(4 - 1 - 1).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 + 3320*p**3 - 541025*p**2 - 3366750*p.\nAnswer: -5*p*(p - 335)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/17395*-71 - ((-4)\/(-14) - 45\/35).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 8:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107a10 (base 13) to base 2.\nAnswer: 1011110110100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 137*w**2 - 10 - 20 + 33 + 453*w wrt w?\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, -5*x - 209 = -5*y + 2*y. Let s(l) = 57*l**2 + y*l**2 - 121*l**2. Let g(w) = 44*w. What is s(g(z))?\nAnswer: -1936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 - -15) + 64\/2. Let g = 30 - y. Suppose 1 + 2 = -w. Sort w, g, -1.\nAnswer: w, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -16. Is -3 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-56)\/21)\/((-77)\/(-21) - 3) - -6. Solve 0 = -h*i + 6, -2*i = -3*g + 6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 + 9)*6\/(-10). Suppose -6*n = -j*n - 3, 3*n = 2*x - 151. Calculate the highest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let u = -31 - -37. Let l(j) = j. Determine u*h(n) + 15*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 2.1. Let b = w - -0.2. Let p = 1.6 + b. What is the biggest value in p, -4\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnqn when four letters picked without replacement from qnqnrnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*2*-1)\/sqrt(6).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((130\/13)\/(1\/1))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 2 + 6 - -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and -12.36.\nAnswer: 7.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4)*(-39)\/91.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3467 is divided by 77.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824.7709 decades to centuries.\nAnswer: 82.47709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -14*q + 10*q. What is the common denominator of -85\/2 and q - (62\/4 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 6444?\nAnswer: -6441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, w: 1, g: 5, k: 3}. What is prob of picking 1 k, 1 w, and 2 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) 2 (d) 2477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1038 - 28024\/27. What is the biggest value in r, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.11\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 + x - 18. What is the tens digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7229 - 7231. Put -521, 2, q in descending order.\nAnswer: 2, q, -521","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83128847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 18*b + 21432 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 238 = -c + 3*o + 3*o + 244, 0 = 4*c + 7*o - 39 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 5. Let l(y) be the third derivative of -5*y**4\/24 + 2*y**3\/3 - 1830*y**2. Calculate -2*h(o) + 3*l(o).\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6625, 4699, 5, -2, -3, -4.\nAnswer: -6625, -4, -3, -2, 5, 4699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -6. Let p be (v - -11)\/((-2)\/(-4)). Factor -6*n**2 + 0*n**2 - 2*n**2 + n**5 + 6*n**p + n**5.\nAnswer: 2*n**2*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*b**3 + 75*b**3 - 3*b**4 + 79*b + 44*b as r*b**2 + w*b**3 + x + v*b**4 + i*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29616 + 1173.\nAnswer: 30789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -5, 109, -0.5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57330377 > 57330376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 + -191. Put j, -4, -3 in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.6. Let o be ((-10)\/20)\/(11\/(-66)). What is the fourth smallest value in -0.4, o, -5, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -755719 less than or equal to -756020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12620608.\nAnswer: 2, 7, 11, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqguqgtzqqqtugzuquq. Give prob of picking 1 t and 1 g.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = v - 21, 115*o = v + 116*o - 5. Let p = -3 + 5. Suppose v*k - p*g = 8*k + 66, 25 = -5*g. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 18*v + 26*v + 2*v**4 - 10*v + 3*v**3 - 2 as m*v + b + o*v**2 + a*v**3 + p*v**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**2 - 261*q + 684 wrt q?\nAnswer: -2*q - 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 358027 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 i(s) = 5*s**2. Let n(f) = -88849*f**2. Determine i(n(k)).\nAnswer: 39470724005*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -848, -1748, -2750, -3854, -5060, -6368?\n\"Answer: -51*o**2 - 747*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/539)\/(3\/(-6))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 153.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 310?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -321*r**2\/2 + 591*r\/4 + 51\/4.\nAnswer: -3*(r - 1)*(214*r + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 40. Let j be y(-5). Let g be 5\/j - (60\/(-21) - -2). Solve -7 = 3*t - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 70*t**2 + 1541*t - 1539. What is y(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*a**3*b + 552*a**3 - 41*b wrt b?\nAnswer: -33*a**3 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 19*r + 1. List the prime factors of v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpwbwwwwwwwwww. What is prob of sequence pbww?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from 0.6212.\nAnswer: 19.6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 17408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-272)\/204)\/((1 + 0)*(-3)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106115859854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1223953319 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -3. Suppose -2*m + g = 2*p, -2*p - 42 = -m - p. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 - 5*u - 8. Give g(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from sqqqqsqqsqqqqqqq?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -471 in decreasing order.\nAnswer: 6, -5, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2621.298 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5)*2 + (-2*(sqrt(80) - sqrt(5)))**2)*-5.\nAnswer: -900 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -400 and -0.4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16666, -66698, -150086, -266830, -416930, -600386?\nAnswer: -817198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.41711 and -1?\nAnswer: 1.41711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10995018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -12*o**2 - 5865*o + 1467 = 0.\nAnswer: -489, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvzskszszsjjsjjzszs. Give prob of sequence zz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-8))\/(((-840)\/64)\/(-5))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1\/(1 + (-24)\/26). Find the second derivative of -147*w + 139*w - w**4 - z*w**4 wrt w.\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*x = -720, 20*x - 282 = 2*j + 24*x. What are the prime factors of (-18)\/33 - 149799\/j?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + 0.1598565604\nAnswer: 0.1498565604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 8*h**2 + 8*h + 11. Let k be w(-7). Sort 5, -2, k.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21*z - 15. Suppose -4*q + 3*l - l = -244, -232 = -4*q - 4*l. Let w(p) = -p - 1. Let f(h) = q*w(h) - 4*x(h). Let v(d) = d**2. Determine f(v(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5297, -2\/17, 0, 1, 0.03 in descending order.\nAnswer: 5, 1, 0.03, 0, -2\/17, -0.5297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**4 + 20*d**3 - 2*d**2. Let q(x) = 9*x**4 + 13*x**3 - x**2. Let t(f) = 8*q(f) - 5*r(f). Factor t(z).\nAnswer: 2*z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 = -4*h - 11, -4 = -b + h. Suppose -6*s + 164 = -b*s - 5*y, 0 = -5*s + 2*y + 188. Let k = s - -68. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 6*j**2 + j + 3. Suppose 2*x - 6 = -i, -2*i - 3*x - 2 = -11. Suppose c - 26 = 4*r, 2*c + c - 3*r - 33 = i. Is n(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885*(-16)\/72*-15?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))\/o**10 assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - j**2 + 5*j + 1. Let h be y(-4). Let q = -1469\/9 - h. Sort 0.2, q, 0.5, -0.03.\nAnswer: q, -0.03, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5147306 millennia?\nAnswer: 51.47306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**3 + 14*h**3 + 398*h**4 + h**2 - h + 2*h - 24*h**3 - 79*h**4 in the form w*h**3 + o*h**4 + c*h**2 + g + b*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -317 and 5.23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h + 2*h)*(-5*h + 7*h - 3*h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 11:01 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 8) in base 5?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24312 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -17.07. Let g = 0.93 + b. Is g less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) + -4*(1*sqrt(231) - sqrt(231)))\/sqrt(11))\/(sqrt(9)\/sqrt(3)*5 + sqrt(243)*1))**2.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1366, 5593, 12654, 22561, 35326?\nAnswer: 50961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71681545 is divided by 6516502.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**4 - 1. Let t(d) = -31*d**4 - 47. Let i(x) = 4*f(x) - t(x). What is the derivative of i(p) wrt p?\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003362 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {y: 6, j: 2, h: 2, v: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -6 + 14 - (3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/16*-4 + 27. Suppose -18 = -4*r + 2*u, -u - 3 = 4*r - c. Find the third derivative of j**6 + j**2 - r*j**6 + j**6 wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213856978 to the nearest integer?\nAnswer: 14624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let b(s) = 4*s - 3. Let v(o) = 9*o - 7. Let t(n) = 5*b(n) - 2*v(n). Give t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:43 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*l**3 - 60 + 16*l**3 + 36*l**3 + 35*l**3 with respect to l.\nAnswer: 171*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(8\/9)*(p\/p**(-6\/11))\/p assuming p is positive.\nAnswer: p**(142\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -20*m**3 - 2*m**2 - 4*m - 4. Is x(-2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 o when three letters picked without replacement from noknoknno.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -36*y**3 + 11*y**2 - 11. Let z(d) be the third derivative of d**6\/10 - d**5\/15 + 2*d**3\/3 - 153*d**2 + 3. Calculate -4*j(c) - 11*z(c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**7\/420 + 63*o**6\/20 - 47879*o**5\/40 + 142129*o**4\/24 + 2*o**2 + 2101*o. Find b, given that z(b) = 0.\nAnswer: 0, 2, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}