diff --git "a/data/dm_maths/full_data/1951_11255.jsonl" "b/data/dm_maths/full_data/1951_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1951_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(b) = 3*b**2 + 5*b + 1. Let o be w(-2). Let x = 15 + o. Solve -x = 6*h - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10187?\nAnswer: 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 307*f**2*u**3 + f**2*u - 14*f**2*z - 4*f*u**3*z - 2*f*u wrt z?\nAnswer: -14*f**2 - 4*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 4, n: 1, f: 1, e: 2}. Give prob of picking 1 q, 1 g, and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, 3, 91, 0 in decreasing order.\nAnswer: 91, 3, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 0.2. Let t = 3.94 + -0.34. Let g = t - -0.4. Which is the nearest to 1? (a) -5 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/165230*104)\/((-1)\/(-5)).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41178, 41173, 41176, 41193, 41230, 41293, 41388?\n\"Answer: v**3 - 2*v**2 - 6*v + 41185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24657721 and 2409?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -35. Calculate the highest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 3. Suppose b*w - 4 = 4*w. Suppose -w*d + 9 - 1 = 0. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n + 9*n + 3 + 6*n. Let z(x) = x - 5. Let d(o) = 5*m(o) + 3*z(o). Let p(u) = -3*u. Determine d(p(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**2 - 9*u**2 + 0*u**2 + 3*u**4 + (-8*u**3 + 33*u**3 - u**3)*(-4*u + 0*u + 3*u).\nAnswer: -21*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110110010 (base 2) in base 9?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 20. Let c = n + 0. Let f(k) = -1779999*k - 5. Let s be f(c). What is s rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7374238 litres in millilitres?\nAnswer: 737.4238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 6 = -34*w. Suppose w*d - 2 = 10. Suppose 0 = 3*x + 15, t + 22 = 2*t + d*x. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 136, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-133)*((-39)\/(-78))\/(28\/(-392)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 > 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/2)*m**(-7)\/m*(m\/(m**(4\/7)\/m*m))**26 assuming m is positive.\nAnswer: m**(79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 446113462 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716177905.\nAnswer: 5, 143235581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, -4.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5. What are the prime factors of r*(2 - 27\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/7)*u**(2\/7))\/(u**(4\/9)\/u**(-2\/13)))**(-21) assuming u is positive.\nAnswer: u**(373\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let j(c) be the third derivative of -c**7\/630 + 7*c**4\/24 - 2*c**2. Let r(n) be the second derivative of j(n). Determine w(r(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000004 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020988 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-15) - (55\/15 + -3 + 0). What is the nearest to -0.2 in 0.08, 0.4, i, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/4))**(-17))**(4\/5) assuming k is positive.\nAnswer: k**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2461 - 1073. Suppose 24*v - y - 9489 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 1245437101415?\nAnswer: 1245437101415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 divided by -6?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 3*y**2 - 32 - y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2508, 240, -2028?\n\"Answer: -2268*a + 4776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743302 is divided by 1033.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5720 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(171) + -3.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4)*(-26*h - 43 + 43)*(0*h**4 - h**4 + 0*h**4).\nAnswer: -104*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 + 9 - -5) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6128 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 4. Let g = -135.21 + 135.41. Which is the nearest to g? (a) y (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z - 13. Let i(q) = -4*q + 4. Let n(v) = -3*d(v) - 8*i(v). What are the prime factors of n(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*w + 1, 4*x + 0*x + 44 = 4*w. Let k = w - -1. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244889\/5579 - 30\/797. Let o = -44 + f. Which is the third smallest value? (a) -2\/5 (b) 4 (c) o (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.14 - 14.14. Let f = 9 + n. What is the second smallest value in 0.2, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -471573*b**2 - 1010121.\nAnswer: -943146*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 4*z + 2*z + 2 + 7*z - 2 - 4*z + z + 2*z + (-1 + 2 - 3)*(3*z - 2*z - 3*z) - 3 + 2*z + 3 + (-2*z - z + 5*z)*(4 + 0 - 6) - 6*z + 2*z + 3*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18339855 divided by -18285?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-7)*(-5)\/((-40)\/(-44)))\/(240\/168)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r + 0*r**4 + 0 + 0*r**3 - 1\/60*r**5 - 18*r**2. Let p(k) = 9*k**2 - 5*k. Determine p(m(z)).\nAnswer: 9*z**4 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 10*x - 35. Let y be z(-12). Put 0, 3, y, -5 in descending order.\nAnswer: 3, 0, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5758?\nAnswer: -5757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/44*4\/30?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.8, -1, -3, 55.52, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + 3 - (-2 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -635\/442 - -16\/13. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/((-2)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 m, and 1 o when four letters picked without replacement from olxxm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/15)\/s)\/s**(-2\/25))**41\/((((s*((s\/s**(-6))\/s)\/s)\/s)\/s*s\/(s\/((s**(-2)*s)\/s)))\/(s**(-4)\/s**0)) assuming s is positive.\nAnswer: s**(206\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 9}. Give prob of sequence hhv.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -254, -509, -764, -1019, -1274, -1529?\n\"Answer: -255*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125*w - 3*w - w)*(-5*w + 5*w + 2*w)*(-6 + 1 + 3) to i*w**2 + a + o*w and give i.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(2299)))**2*-4*3.\nAnswer: -443136 - 12672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-334 - -343) + 42\/4*(-9 - -5)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 1, h: 1, y: 1, n: 2, l: 2}. What is prob of sequence nyhi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55680?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -p + 3*g, 3*g - 5 = -2*g. What is the remainder when p is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4633455 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88, -372, -848, -1516, -2376, -3428?\n\"Answer: -96*c**2 + 4*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + i - 8)*(2*i**2 + 4*i**2 - 7*i**2)*(0 + 1 + 4) to w*i**3 + l*i**2 + a*i + k and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2243786 and 15\/67678?\nAnswer: 29169218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3*0)\/(-2). Suppose 5*d + 7 = -t - 7, u = 4*t + 3*d - 12. Factor -6*i**3 - t*i**4 - 4*i**5 + 8*i**2 + 2*i**5 - 10*i**2.\nAnswer: -2*i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -6\/7*q**2 + 1\/2*q**3 + 2 - 3\/140*q**5 - 1\/14*q**4 - 68*q. Factor t(d).\nAnswer: -3*(d - 1)**2*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 601, 1087, 1545, 1969, 2353, 2691?\nAnswer: 2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110774)\/25695)\/(1*-2) - (-16)\/(-10).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 3 = -2*o + 4*p, -24 = -5*o - 2*p. Suppose o*s - s = 7835. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470*p + 3*q = 465*p + 170422, -p + 2*q + 34087 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20021?\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2. Suppose 0*i - 2*i = 0. Suppose i = -4*m - m. Let n(g) = g + m*g - 2*g. Determine q(n(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = -0. Let o be z - 5\/((-10)\/(-452)). What is the remainder when 3\/(-9) + o\/(-6) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -674 - -3398. What are the prime factors of z?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 454*k - 459*k - 30, -3*k - 20 = 5*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + -1 + sqrt(125) - (2*sqrt(125)*6)**2) + 2) + 0.\nAnswer: -15*sqrt(5) + 53994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 51*n**2 + 709*n + 357. Give l(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/(((-38157)\/147)\/79)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 2*c + 2*c**2 - c**2 + c**4 - 1 as q*c**4 + i*c**3 + y + a*c + f*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 43. Suppose z - 2*z - 4*w = 6, 0 = 4*z + 2*w - 46. Calculate the highest common divisor of s and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(209)*2 + sqrt(209))\/(1*sqrt(11)*2) - ((sqrt(152)\/sqrt(2))**2 + (sqrt(19) - sqrt(38)\/sqrt(18)) + (sqrt(76)*2*-3)**2).\nAnswer: -2812 + 17*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7662 + -7658. Let z = 20 - 5. Let u = z + -14.3. What is the nearest to u in 0.1, -5, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 29130955*i**2. Let h(q) = -8*q**2. Give t(h(n)).\nAnswer: 1864381120*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*k - 21, -3*b = -0*b + k + 1. Let n be 1 + (-3)\/9*b. Let w = -6 + 5.6. What is the biggest value in n, -0.5, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4988 take away 31288?\nAnswer: -26300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*a - 4*k - 39, 0 = -2*a + 5*k + 29. Find the second derivative of -144*q**2 - 9*q - 18*q**3 + 144*q**a wrt q.\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415217733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Suppose -14*i - 64 = -92. Let u(g) = -42*g**2 + 103*g**i + 137*g**2. Give h(u(a)).\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 713446 and 0.4?\nAnswer: 285378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1399 = o - 4*o, -k = 5*o - 2337. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 352, 353, 354, 355, 356?\n\"Answer: y + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*h + 144*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**3 + 8*k**2 - 1. Let w(h) = -5*h**3 + 7*h**2 - 1. Let s(p) = 5*g(p) - 6*w(p). Determine s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -165.\nAnswer: 83\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3189130504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*f - 12, -y - 16 - 6 = -5*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 12. Let d be (4 - 4 - 0) + 0 + -2. Let h be k(d). Suppose 0 = 2*p - 8, -14*y = -11*y - 5*p + h. Solve -j + 7 - 3 = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-7)*0\/(-1). Suppose -25 = -5*r - z*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695 - -1590951?\nAnswer: 1590256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2833 - -8219?\nAnswer: 11052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4 - 2 + 1 + x - 2. Let b be z(-1). Suppose 1 = -b*n - n, 5*w - 9 = 4*n. Is 0 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66978603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 + 13*w**3 + 13*w**3 - 44*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 10*u - 13. What is c(11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2871*p**3 + 3800*p**3 + 568*p**3 - 589*p**3 + 2043*p**3.\nAnswer: 8693*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**7\/42 - 7*q**5\/15 - 18*q**2 - 16. Let m(c) be the second derivative of l(c). Find the third derivative of m(t) wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*n + 2327 = -110*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*15.4073\nAnswer: -0.154073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1767*w**3 + 155*w**2 - 155*w. Let r(k) = -34*k**3 + 3*k**2 - 3*k. What is -3*f(a) + 155*r(a)?\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000232084 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccchcmbchcmccbbmcc. Give prob of picking 1 h, 1 b, 1 m, and 1 c.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -122892.5 and 67.35.\nAnswer: -122825.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*((sqrt(520)\/(sqrt(40)\/sqrt(4)) + (-1*sqrt(52) + sqrt(52))*5)\/(sqrt(36)*5 - (sqrt(576) - -1*sqrt(576) - sqrt(576))) + 1))**2.\nAnswer: 150*sqrt(13) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 2*u**2 + 1. Let g be m(-1). Suppose v = -g*v - 53. Let y = v + 213\/4. Sort 0, y, -5 in increasing order.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = 4*f, -3*f + 10 = -2*f - 2*n. Which is the closest to 1? (a) 6 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 - 7*t - 7. Let z be m(-1). Let d be (-1 + z)*(17 - 16). Suppose 0 = 5*w + f - 0*f - 480, d*w = -5*f + 500. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 - 4*v - 10. Calculate the remainder when n(-6) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/5)*g*g\/(g*g**(1\/11)*g))**(-2\/15))**(2\/19))**(-18) assuming g is positive.\nAnswer: g**(144\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36709\/22 - -1672. Calculate the common denominator of r and (-4)\/8 - (60\/21)\/(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*a**5\/11 - 18802*a**4\/11 - 4706*a**3 - 12662*a**2\/11 + 52080*a\/11 + 31464\/11 = 0 for a.\nAnswer: -57, -2, -1, -138\/157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -142.\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let p(v) = 3 - 2 + 402*v - 376*v. What is f(p(i))?\nAnswer: 52*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2787*j - 2775. Determine q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34522093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-14)\/(-8))\/3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 2*w - 13*x - 10, 0 = 5*x + 15. Let p be (39\/169)\/((-3)\/(-2)). Which is the closest to w? (a) 0.2 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/36 - 4\/18. Let w = -26 - -28. Differentiate a**2 - 4*a**2 - j + 13*a**3 + 3*a**w with respect to a.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -56, 4, -2, -3 in descending order.\nAnswer: 4, 3, -2, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 0. Let p(h) = h**3 - h**2 - 2. Let b be p(a). What is the second smallest value in b, 2, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 8*u**2 + 6*u. Let i be k(7). Let g(q) = -4*q - 5. Let n be g(i). Let s(b) = -131*b - 783. Let r be s(-6). Solve r*l - n = -8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -242, -446, -646, -836, -1010, -1162, -1286, -1376?\n\"Answer: w**3 - 4*w**2 - 199*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/73199?\nAnswer: -1\/73199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (545090\/(-29351))\/(75\/21).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25142 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 1, v: 3, l: 3, g: 1, p: 9}. What is prob of picking 1 f, 2 l, and 1 g?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33aa8 (base 15) to base 9\nAnswer: 270465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 30*v**2 + 119*v + 6. Give s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 1. Let a be w(-1). Let t(s) = -s**3 + 3 + a*s**2 - 3*s + 2*s - 6. What is t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5457531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-28)*21\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 2603?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:05 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 8, m: 4}. What is prob of picking 1 j and 1 v?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 1, -3, -16.\nAnswer: -16, -3, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**3\/6 + 3*a**2\/2 + 11*a. Calculate u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59034*y**4 + 2*y - 35131.\nAnswer: -708408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -8*j - j. Suppose -5*a - 11 = 7*k - 4*k, a - 5*k = j. Is a != 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(931))**2)*2.\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxdxxxhxxxwd. Give prob of picking 4 x.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 80*a**2 - a - 37. What are the prime factors of v(-6)?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 15. Let m be k(-11). Suppose h - m - 2 = 0. Suppose -h*a + 2*a = 0. Solve a*j + 3*j - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/2)*c)\/(c\/c**8))**17 assuming c is positive.\nAnswer: c**(221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -12\/14668859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 22, 4\/17, -1\/4 in descending order.\nAnswer: 22, 0.4, 4\/17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99155 = -9*j + 43090. List the prime factors of j.\nAnswer: 5, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(-3 + 0). Let j = 5.39 + -0.39. Let w = 4 + -7. Which is the closest to 4? (a) w (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)\/n)\/(n\/n**(-1\/9))*(n**2)**(-45)*(n\/(n\/n**(-2)))**23*(n\/(n*n**0*n)*n)\/(n*n\/(n*n*((n\/(n*n**(1\/5)))\/n)\/n*n)) assuming n is positive.\nAnswer: n**(-2093\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626562841 to the power of 1\/2, to the nearest integer?\nAnswer: 51250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 3*a - 13. Suppose -2*c + y = 6*y + 38, -c = -5*y - 11. Let q = c - -2. What is the remainder when s(q) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*o**2 - 4*o - 22.\nAnswer: 2*(o + 1)*(9*o - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*x = 1524 + 276 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115.98925 - 0.90875. Let q = -117 - d. What is q rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:54 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 1, z: 3, n: 5, l: 2}. What is prob of sequence nlnu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 1, n: 1, j: 5, g: 7}. Give prob of sequence xf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 19. Which is smaller: -5\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 3*p + 1. Suppose 0 = 8*r - 12*r - 16. Give o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*b = 49 + 5, 2*f - 54 = 3*b. Find the second derivative of 2*z + 83 - 22*z**2 + 126*z**2 - z + f*z**2 + 0*z wrt z.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 2*x**2 + 0*x**2 + (3*x**2 - x**2 - x**2)*(-1 + 1 - 3) + 106479 - 38*x - 212968 + 106485 - 6*x**2.\nAnswer: -8*x**2 - 38*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 0, 37*d - 32*d = -5*m - 103150020. Round d to the nearest 100000.\nAnswer: -20600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872)*-2)**2*-2*-4.\nAnswer: 59901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10198663 to the nearest integer?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-525)\/(-2450)*10\/(-6))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/13496 and 33\/70.\nAnswer: 67480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523 - -108787.2.\nAnswer: 108264.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 67*p - 70. What is s(30)?\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -25) + (-39 - -24) + 7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*m**2 + 5*m**3 - 480*m**2 + 2*m - 2*m - 497*m**2.\nAnswer: 5*m**3 + 371*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1312763, -1312411, -1312059, -1311707, -1311355, -1311003?\n\"Answer: 352*g - 1313115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28*s**3 - 10*s**2 + 8*s - 2. Let l be x(7). Suppose 0 = 3*z - z - o - l, 2*z = 5*o + 9176. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u**0*(((u*u*u**(-2\/3))\/u)\/u)**(-3\/31) assuming u is positive.\nAnswer: u**(-60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 566, 2, -2, 3, 15.\nAnswer: -2, 0, 2, 3, 8, 15, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -50*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19229 and 714?\nAnswer: 1961358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u - 1. Determine d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 + 8*i**2 - 11*i**2 + 6*i**2 + 4*i**2 - 2*i**2 + (5 - 5 - 1)*(-i**2 + 2*i**2 - 2*i**2) + i - 2*i**2 - i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooojjooooooojooo. Give prob of picking 3 j and 1 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4389 - -4357. Let f = -103.8 + 70. Let n = f - w. Is n at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9f (base 16) to base 14\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2679 and 1222.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1737 + 5700 = q + 5*b, -3*q = -b - 11953. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 70*t = 411, 1127590*b - 1127595*b - 45 = -5*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 - t + 1. Let r be i(4). Solve 0 = 5*m - r - 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)\/((i\/(i*i*i**(2\/39)))\/i*i) assuming i is positive.\nAnswer: i**(97\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1484.6 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 53*b - 48*b - 32906 = 0, 32898 = 2*r + b. Calculate the highest common divisor of r and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/(-5))*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -2. What is the closest to -0.2 in w, 1, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - 5*w**2 - w. Let y(x) = -x**3 + 5*x**2 - x. Let z be y(5). Let q(v) = -3*v**3 + 6*v**2 + v. Determine z*q(l) - 6*h(l).\nAnswer: -3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 389656193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-1)\/(-2))\/((-4)\/(-800))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33732128 is divided by 1187.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (4 + 0 + 0 + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqde. What is prob of picking 1 e and 2 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/4635 (b) -0.4 (c) 7 (d) 1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 599.8 + -599.9. Suppose 2*s = -76 + 4. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14 = 4*r. Differentiate 70*f - 22*f + 21 + r*f with respect to f.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 - 14*q - 17. Determine l(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-3) - 5\/15. Suppose p*b - 10 = 14. Suppose b = y + v, 2*v - 91 + 22 = -5*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 + u - u)*(4 + 3 + 4) - 134*u**5 - 79*u**5 - 2*u**5 + (-u**2 + 0 + 0)*(3*u**2 - 3*u**2 + 2*u**3).\nAnswer: -206*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1917825 is divided by 2436.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2. Suppose 0 = -23*y + 20*y + 12. Suppose -4*h - 5 = w, 0 = -w + y*w - 2*h - 13. Let z(l) = -1351*l + 1351*l + w*l**2. Calculate r(z(v)).\nAnswer: 90*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 divided by -1?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*d + 276 + 475 = 101 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-79)\/1)\/((-7)\/(-14)))\/1. Is (l\/158)\/((6\/(-9658))\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (6 - (-3 + 10 + -6 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7704)\/168 - -32) + 14. Let x = -0.1 - 0. Let a = 1.9 - x. What is the nearest to 0.03 in d, -0.3, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 - (-9 + 5). What is the second derivative of -65*j + 10*j**2 + 15*j - 3*j**h + 14*j**2 wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)*b*(b\/b**(-4\/5))\/b)**41 assuming b is positive.\nAnswer: b**(-1681\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494.2348 - -1.1348. What is x rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 158 = 13*n - 2*w, 202 = 5*n + 4*w. Find the third derivative of 30*u**5 + 5*u**2 - u + 8*u - 29*u**5 + n*u**3 wrt u.\nAnswer: 60*u**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 10*i**2 - 10*i - 8. Let w be d(11). Suppose -j = -w*j - 16. Let a = 26 + j. What is the common denominator of a and -11\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (12 - -5) - 5 - (-51)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = 2*x. Let q(g) be the second derivative of -g**3\/3 - g**2\/2 + 2*g. Let h = -56 + 57. Let z(d) = -1. Determine h*z(s) + x*q(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**6\/120 - z**5\/30 + z**4\/4 + 7*z**3\/6 + 9*z**2\/2 - 9. Let l(u) be the second derivative of a(u). Is l(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3*m**5\/20 - 5*m**4\/12 - 13*m**2\/2 - m - 2. Find the third derivative of c(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q**4\/3 + 57974*q**3\/3 + 435742*q**2\/3 + 67342*q - 869748 = 0. Calculate q.\nAnswer: -33\/7, 2, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*4 - (sqrt(133) + sqrt(133) + sqrt(133)*4)*-6)\/((sqrt(448) - (sqrt(448) - sqrt(448)*1)) + sqrt(42)\/sqrt(6)*2).\nAnswer: 14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -2. Suppose 2*n + o*c + 36 = 0, 4*n + 32 = -3*c - 40. Find the common denominator of 589\/18 + 4\/n and 71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 282, -58511, 1, 2 in decreasing order.\nAnswer: 282, 2, 1, -5, -58511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -330 (base 6) to base 13\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3 + 1\/3*m**6 + 0*m**5 + 0*m**2 - 2 + 0*m + 0*m**4. Find the third derivative of k(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - 1)*(-71 + 69). Solve 2*n + p = 3*n + 4*w, 2*w - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 12*t + 44. Let a = 94 + -102. Let g(j) = -3*j - 5. Let p be g(a). What is the tens digit of c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**8\/20160 - g**5\/12 + 7*g**2. Let c(z) be the third derivative of p(z). Let y(j) = -3 + 3 - 4*j**2. What is c(y(r))?\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*r + 2*g - 223, -29*r - 11 = -31*r + g for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1324400?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmm when three letters picked without replacement from uumatuacamcumumutt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 4*x**5 - 2*x**3 - 3*x**5 - x**5 + 5*x**5 + (-2*x + 2*x - 2*x**4)*(-3*x + 5*x + x).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/60 + n**4\/4 + n**3 + n**2. What is the remainder when 3 is divided by i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w. Suppose 2*b = -2*b - 16. What is the tens digit of u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278 * -0.38\nAnswer: 105.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*h + 716*h - 141 = -1257 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let x(p) = 2*p - 2. Calculate -3*i(w) + x(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140992362 and 23498727?\nAnswer: 140992362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -344 (base 9) to base 5\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2711232 and 52300?\nAnswer: 67780800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -4*t**3\/3 - 3. Let d(w) = 6*w. Give d(g(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 45aab?\nAnswer: 45aad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 95*x**2 + 12*x - 20. Is 16 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4095175.1 - 4095178.8697673. Let t = o - -3.77. What is t rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*s + 2 = 0, -2*g + 0*s = 5*s - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 521 and -16.\nAnswer: -8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjbjkkbbb. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 646*u - 9440. Determine n(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 110, 198, 284, 368?\n\"Answer: -b**2 + 93*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34578\/(-24))\/(57\/(-1520)).\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 2:39 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 548782.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y*y)**(-36))**50*(((((y\/y**(-3\/4))\/y)\/y)\/y*y)\/y*y)\/(y**(-1\/3)*y)*(y**(2\/5))**(-10\/7) assuming y is positive.\nAnswer: y**(-151325\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0338 + -0.026. Round d to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 10*f**2 - 12*f + 39. What is the units digit of r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a year in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1468.69 and -3?\nAnswer: -4406.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 141215, 0.3, -2\/11?\nAnswer: 141215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-4 + (-12)\/(-3)). Suppose -3 = -f, -3*k = -z*f - 5*f - 3885. Let c be (k\/8)\/(4\/(-32000)). What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 8*n - n + 7*n. Suppose 0*p = -4*p + 8. Let u(b) = p*b - 3*b - b. Give u(m(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o. Let p(g) = 2*g**2. Calculate p(u(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-990)\/(-249) - (-16 - (115 + -125)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dncdhmmcnhhndhcnhh. What is prob of sequence mn?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000829405808 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5 - 5 + k. Let w(l) = 7*l**2 + 6*l - 6. Let x(c) = 20*c**2 + 17*c - 17. Let j(d) = 17*w(d) - 6*x(d). What is t(j(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -211*m + 207*m + 5*w, -2*m - 4*w = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 908084 in descending order.\nAnswer: 908084, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071820667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -3032a?\nAnswer: 3033d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13656825 divided by 525?\nAnswer: -26013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 2*r. Calculate x(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsssyysyssys. Give prob of sequence ss.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 7*k - 14 = 0. Is 3138\/k*(-231)\/63 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x + 4. Let s be u(4). Let r = s + 5. Is -1*190\/((-2)\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccee when four letters picked without replacement from {c: 5, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5992, -4, 10 in descending order.\nAnswer: 10, -4, -5992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, 0.2, -4, 1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/y*y\/(y*y**(-2)\/y))\/(y*(y*y**(-1))\/y*y\/(y*y\/(y**6*y)*y)*y))\/(y**(1\/8)\/y**(-5\/4)*((y\/y**6)\/y)\/(y\/y**(1\/6))) assuming y is positive.\nAnswer: y**(179\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*s = 19, 0 = -0*z + 2*z + s - 27. What is the units digit of (-4)\/(-3)*-3 + z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/23352 and -103\/350280?\nAnswer: 350280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 394.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48982\/42537 + ((-364)\/48)\/7 + (-3)\/12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7978394?\nAnswer: 2, 101, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -30. Suppose -5*t + 117 = 8*t. Let o be (h\/t)\/((-2)\/3). Solve -3*j = -2*z - j + 6, o*j - 17 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773977 is divided by 934.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 - 88*h\/5 + 32.\nAnswer: 4*(h - 20)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/107 (b) -0.06 (c) -0.1234 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - w + 2. Calculate the remainder when k(2) is divided by -2 - (-1 + -2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95325?\nAnswer: 3, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23033206 (base 7) in base 6?\nAnswer: -111014001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 7*m**2 + m - 3. Let b be u(7). Let w = -3 + b. Let h be (-1 - -1) + w + -3. What is the closest to 0 in -0.5, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + o)*(-14*o + 7*o + 5*o + 5*o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2. Let w(q) = -q**2 - 4. Let v(o) = -3*o**2 - 9. Let l(c) = 4*v(c) - 9*w(c). Give l(y(r)).\nAnswer: -75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/4 + -5\/2. Let g be ((-4)\/(-6))\/((-14)\/6). Let d = 10\/21 + -1\/7. What is the closest to u in g, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34144658 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29596.7 to the nearest one hundred.\nAnswer: -29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 26*o**3 + 13*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258126253.\nAnswer: 7, 11, 3352289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s - 4*g - 100, -s + 4*g = -36. Let a be 512\/17 - (-6 + 312\/51). Let m be 5*a\/(-25) - -21. Is m less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + -12?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3. Let p be t(1). Suppose d = -p, 6*d - d = -4*r + 31599995. Round r to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - 0)*(-1 - 80).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((50336\/1152)\/(-121))\/(8\/(-64))\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 42 (c) 13\/6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2. Let c be (-20)\/10*(-5)\/2. What is a(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:34 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*a - 18076, 5*m + 3419 = 4*a - 14662. List the prime factors of a.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/160 and 19\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*g - 9*n, 3*g + 3*n = 0. Suppose -4*u - d = -28170 + 6172, g = u - 4*d - 5508. Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(11) + 6*(sqrt(11) + -2*sqrt(11)) - sqrt(11)) + -5 + -1 + sqrt(11) + 1 + -3))**2.\nAnswer: 2880*sqrt(11) + 12204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - j + 1 + 3*j - j - 4*j + (-2 + 2 - 1)*(j + 0*j - 2*j))*(-5860*j + 763*j - 5145*j + 2272*j).\nAnswer: 15940*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 344 + -65. Suppose 4*h - 5*y - 230 = 0, -4*y = -5*h - 2*y + s. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t - 7. Let n(g) = 9*g - 8. What is 7*l(s) - 6*n(s)?\nAnswer: 9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94343821 to the nearest integer?\nAnswer: 9713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 19*l**2 + 148*l + 2565. Let o be x(-20). Solve j = -o*p + 28, -25*j = -21*j - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15633506*b*s - 4039528*s wrt b.\nAnswer: 15633506*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10683 and 82\/3450609.\nAnswer: 3450609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e - 2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*z**3 + 0*z**2 + 56*z**3 + z**2)*(-2*z - z + z).\nAnswer: -2*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a + 50 = -804 - 73 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3 - 359616*x**2 + 16164379530*x + 96999223788 = 0.\nAnswer: -6, 89907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91 + -227?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 10*b - 7. Let q(f) be the first derivative of f**3 + 7*f**2\/2 - 5*f - 20. Let c = 11 - 4. Calculate c*q(r) - 5*a(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11388 = 3*y - 8*y, 0 = m + 4*y - 2868. List the prime factors of m.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -1303511.\nAnswer: -1303510.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082901.5843 less than -0.2?\nAnswer: -1082901.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (208\/(-936))\/(1\/(-9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 2*u**2 - 5*u - 13. Give w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46450391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.8, -4, 19\/6?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j = 97*j - 120 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.342 or -74.818?\nAnswer: -74.818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1616274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 85 = -w + 95, 0 = -3*a - 2*w + 101. Let t = a + -26. Let k = 15 - t. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8558487, -8558473, -8558451, -8558421, -8558383?\nAnswer: -8558337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 13*r + 29. Suppose c = -2*c - 36. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*b + 6503 - 10302 - 25595 = 2430 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73432 or -0.046?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 11:17 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 816*r**4 + 21*r**3 - 7*r**2 + 4605612*r wrt r?\nAnswer: 9792*r**2 + 126*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 1785.8 to the nearest 10.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1433088 times 0.12\nAnswer: 171970.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -157, -164, -131?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-13196)\/(-6))\/(-2))\/(19 - (-7196)\/(-378)).\nAnswer: 3, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 64 + 59)*(-10*r**2 - 3*r + 16*r**2 + 2*r).\nAnswer: 18*r**3 - 33*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2600 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:37 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 656.91 - 660. Let s = a + 0.09. Let u = 0.06 + -2.06. Sort u, 2, s.\nAnswer: s, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbpb when four letters picked without replacement from {b: 7, p: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3))*-5*-4)**2*-3.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 22\/5261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171, -418, -677, -954, -1255, -1586?\n\"Answer: -y**3 - 240*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m)**(13\/5)*(m**(2\/25)*m)\/(((m*(m\/(m*m\/((m\/m**0)\/m)))\/m)\/m)\/m))**26 assuming m is positive.\nAnswer: m**(16406\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/60 - 65*f**4\/12 - 989*f**3\/2 + 13*f**2 - 53. Find the first derivative of j(g) wrt g.\nAnswer: 2*g - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 45*s**2 + 3*s + 132. Let z be x(-45). Let h be 6 - (2190\/245 + z). Let w(q) = q**3 - q**2 - q - 1. Let p be w(2). Which is bigger: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 31*y + 4*y)*(6 + 1 - 5) - 4*y + 2*y + 3*y.\nAnswer: -49*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.87 - 0.13. Let l = 0.49 - 2.49. Which is the closest to 0.1? (a) l (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -10. Let m be -2 - h\/(-3) - -1. What is the nearest to -1 in m, -0.3, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18177465424\/1029 + -17665173. Let c = 2\/343 - i. What is the second smallest value in 5, -2, 2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l + 137. Is n(17) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.1 (c) 2 (d) -0.83 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*g - 3, -3*g = 2*s - 1 + 4. Solve s*n = 5*i + 5, -3*i = -i - 3*n - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 14 - (-84 + 88)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1.69?\nAnswer: -6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -141*l - 164 wrt l?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52283846 to two dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:56 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3548 + -3539. Let c = 0.1 + 0.2. What is the third biggest value in b, c, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*y - c - 20, y + 1 = c. Suppose 4*n - 35 = -3*i, 6*i - y*i + 3*n = 42. Let r = 3257 + -3251. What is the greatest common divisor of i and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*s = -11, 0 = 5*g - 4*s - 16 - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -12196, 0 in decreasing order.\nAnswer: 0, -14, -12196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 10) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37394)\/(-13355)*(-40)\/42?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14726 = -4*r - 2*q, -8*r - 2*q = -2*r - 22092. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5082 + -0.1082. Which is the fourth smallest value? (a) y (b) -5 (c) 2 (d) -4 (e) 0.108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 6 + j + 3*j + 2*j.\nAnswer: j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367 + 280*a + 734 - 367 to the form t*a + f and give t.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 3*v - 3. Let q be a(3). Suppose 8*f + 4*l - 46 = 3*f, -l = -5*f + q. Calculate the remainder when 28 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/15*(-5)\/((-10)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1)*(316602\/(-330))\/(-123).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 11*y**2 + 10*y - 116. Calculate v(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let u be -7 + (-228)\/(-36) - (-4 - 46\/6). Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.0091 - 0.0091. Let a = 28 - 13. Let g = a + -12. What is the third smallest value in -1\/4, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464969\/82664 - 2\/10333. Find the common denominator of -33\/4 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, 4\/7, -1, 1\/42310?\nAnswer: 1\/42310","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91\/10 in 0.4, 0.5, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13355340, -26710650, -40065960, -53421270, -66776580, -80131890?\nAnswer: -93487200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/365)\/((-66)\/(-220)). Let w = -78\/1241 - z. Let f(o) = 2*o + 1. Let n be f(2). Which is the fourth smallest value? (a) -4 (b) 0.3 (c) w (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*(-294)\/(-833)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(98) - (sqrt(98) + sqrt(98) + -1 + 1) - (3 + sqrt(98)*-2)))**2.\nAnswer: -9450*sqrt(2) + 24075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4403, -8752, -13101, -17450?\nAnswer: -21799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {e: 1, f: 1, h: 1, r: 5, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12983979 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2520 or 1?\nAnswer: -2520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, k: 2, f: 1}. Give prob of picking 1 c and 2 k.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 29. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 375253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -23?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/24 - 4*a**4\/3 - 40*a**2. What is the second derivative of x(g) wrt g?\nAnswer: 280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*l - 8*l - 1200. Let j(q) = -11*q**3 - q. Let a be j(-1). What is the greatest common factor of l and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:57 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12103*c + 12103*c - 2*c**2. Let t(z) = 2*z**2 + 10. Determine t(i(l)).\nAnswer: 8*l**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 22*g + 7*g + (-3*g + g + 4*g)*(2 - 3 + 3) + 2 - 2 - g)*(-3*g - 5*g + 3*g + (-4*g + g + 5*g)*(2 - 2 - 1)) + (-2*g - 2*g + 3*g)*(-2 + 2 - g).\nAnswer: -265*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47\/6 + -43\/6. Which is the nearest to -3? (a) 5 (b) 3 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.194587 minutes?\nAnswer: 311.67522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**3*y - 4*r**3 - 22*r**2*y**2 + 16*r**2 - 20*r + 12*y**2 + 3*y wrt y?\nAnswer: -r**3 - 44*r**2*y + 24*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 32.89. Let w = g + -0.35. Let q = w - -21.06. Round q to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 - (12 + -21). Solve 0 = -3*u - f, 0*l - 3*u - 10 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w = 62*w - 4. Let d be -1*((w - -1) + -1). Suppose 0 = q - o - 3, 3*o + 3 + 6 = q. Put d, q, -4 in descending order.\nAnswer: d, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2\/3*c**2 + 0*c - 16 + 2\/9*c**3. Factor q(k).\nAnswer: 2*k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3890 - 2485. Calculate the least common multiple of 5 and k.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69212 divided by 3.\nAnswer: -69212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n. Let d(u) be the first derivative of -u**6\/120 + 4*u**3\/3 - 3*u**2 - 14. Let p(v) be the third derivative of d(v). Determine q(p(t)).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 1. Let h be f(-4). Let g = -20 - h. Suppose 4*k - 44 - 665 = g*d, k = -5*d + 160. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 143*j - 147*j. Suppose o + 330 = 6*o. What are the prime factors of j\/(18\/(-1124)) + 44\/o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5) + (-24)\/15)*790\/(-1580) - 74.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111222222 - 2?\nAnswer: -12112000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3478 (base 9) in base 10?\nAnswer: -2582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 - 33 + 405 = -52*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 9.05. Let p = -0.05 + t. Let a = 326 - 1624\/5. Sort p, 4, a in ascending order.\nAnswer: p, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 - 3 = -4*z, -4*z = -3*c - 9. Let p be (4 - (-1 + 3))\/1. Let y be (p - -2 - 6) + 6. Solve -4*u = z*a - 5*a - 14, 0 = -a - y*u + 23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -24*i**2 - 286*i + 40. Determine a(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -421*i**2 + 148*i - 9. Let l(o) = -1273*o**2 + 444*o - 25. Let q(c) = 6*l(c) - 17*w(c). Find the second derivative of q(d) wrt d.\nAnswer: -962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - 0.7. Let q = 0.9 + o. What is the closest to q in 3\/8, -1, -0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-6)\/156)\/((-2)\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4\/7 - 1140*j**3\/7 + 92748*j**2\/7 - 2325308*j\/7.\nAnswer: 4*j*(j - 167)*(j - 59)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = 11. Let t(o) = 2*o + 14. Let k be t(g). Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:30 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6408)\/16198)\/((-116)\/(-87)*3\/14)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*z + 2*z. Let y be (-2 - -5)*(2 - 1). Solve -36 = 4*w + 4*u, -z*w = -3*u - 6 + y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42560774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*22367418\nAnswer: -223674.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 14*t**2 + 74*t + 11. Let d be g(-4). Solve s + 7*w - 3*w + 5 = 0, 5*w + 19 = d*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y**2 - 107*y - 7. Let c be s(6). Is c bigger than -3\/760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094 is divided by 140?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 162, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(-3 + 3 + 2)*(3*j**3 + 148 + 2*j**3 - 152) to the form x + r*j**2 + d*j + w*j**3 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115814)\/(-16590) + (-10)\/14 + 10\/(-15)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63852?\nAnswer: 2, 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*g - 2496. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n + 13 + n**3 + 14*n + 9*n + 8*n - 13*n**2. Let x be m(8). Let u = -46 - x. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 25056?\nAnswer: 75168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15807.05 days?\nAnswer: 2258.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l, l + 400 + 49 = 5*m. Solve 0 = -4*x + m - 109 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3836\/(-1644))\/(1\/(-90)*7).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74.9 - 75.0288. What is l rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6418718 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2648580 by -662145.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10934 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v, -3*v = -3*g + 51. Let i = g - 2. Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -120782, -241558, -362334, -483110?\n\"Answer: -120776*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2634, 2626, 2586, 2514, 2410, 2274, 2106?\nAnswer: 1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t - 15 = 0. Let a(l) = 20*l + 1. Is a(t) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 5*i - 1. Let a be v(4). Let d(w) = w**2 - 7*w + 4. Let m be d(7). Determine z, given that -z**m - z**3 + 5*z**a + 3*z**4 - 2*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (0 + -1 + -16 - (260 + -358)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 590661*j\/2 - 23918490.\nAnswer: -(j - 590580)*(j - 81)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5 + 3 + 0*x**2 - x - 2*x**2 - 2*x**3. Let r be j(-2). Suppose -57 = 5*y - r*y. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -837 + 1698. Suppose 0 = -6*l + 3*l + k. List the prime factors of l.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 183\/(-5) - 2\/5. Let g = c + -57. Let p = -55 - g. What is the remainder when p is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*v, 0 = -1394*j + 1389*j + 3*v - 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 25*h + 122 = -23*h, -3*d = 5*h - 189. What is the lowest common multiple of d and 20\/9 - 2\/9?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b. Let v be h(2). Suppose v = y - 6*y. Suppose -2*i + 16 = 2*f, -3*f + i + 3*i + 10 = y. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = 17. Suppose -3*c - 28 = c - g, -m*g - 28 = c. Let p be (5 + c)\/((-2)\/(-7200)). Round p to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + 15. Let b = -19 + p. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (sqrt(176)*-2*3 - ((sqrt(176) + 0 - sqrt(176)) + -5)) + -4))**2.\nAnswer: 4800*sqrt(11) + 158800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2412280 and 4472.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)*9\/(-6). Let h be 3\/(-4) - (-132)\/48. Solve -23 = -a*o - h*t, 4*o - 7*t + 3*t = 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.135858.\nAnswer: -1.222722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - (-158)\/18. Let j be (-94)\/(-10) + (-6)\/15. Let h be 12\/3 + 3\/(j\/6). What is the highest common factor of h and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*i = -1577 - 4173, -2*i = 0. Calculate the highest common factor of n and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 times -14770.5?\nAnswer: -10176874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - n. Let p(r) = -6*r**2. Calculate p(g(d)).\nAnswer: -96*d**4 + 48*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 25*i - 47. Give g(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22974315?\nAnswer: 3, 5, 7, 13, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -3\/14*c**7 + 25\/4*c**4 - 20\/3*c**3 + 5\/336*c**8 + 29\/24*c**6 + 6*c**2 + 0*c - 43\/12*c**5 + 0. Factor k(t).\nAnswer: 5*(t - 4)*(t - 2)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 6. Let a be o(-5). Let j = 244266 + -243460. Calculate the highest common factor of j and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 2, f: 3, s: 6, u: 6, z: 1}. Give prob of sequence yyz.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m - 7\/3*m**3 + 98 + 0*m**2. Let c(p) = 11*p. Calculate c(n(y)).\nAnswer: -77*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d + 179*d = -573*d + 37163 - 8288 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 32, 2*p + 3*r + 18 = -2*p - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 4*r + 7 + 9*r.\nAnswer: 11*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -5*y**3\/3 - 15*y**2\/2 + 20*y - 88. Factor i(g).\nAnswer: -5*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b. Let f be 0\/1*-1 - -1. Differentiate f - 2 + b + m**4 wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/24*-20 - (9 + 1). Let q be 45\/y + 12\/(-4). Let g(i) = i**3 + 11*i**2 - 13*i + 4. Determine g(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7678724?\nAnswer: 2, 73, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 - -20 - -10782*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15))**(-48)*m**(2\/41)\/m**(1\/11) assuming m is positive.\nAnswer: m**(14337\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from httthhhthttt. What is prob of picking 3 h and 1 t?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8708445279 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 127863539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**2 + 50 + 223*o**3 - 24*o + 14*o**2 - 65*o**3 - 84*o**3 - 72*o**3. Calculate r(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 3*z**2 + z + 2. Let w be b(-2). Solve 0*x = -3*x - w*q + 29, -4*x - 5*q = -37 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4.5. Let v be 313\/(-2) - ((1 - 7) + 1). Let s = v + 153. What is the nearest to 9 in i, 2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -439, -435, -437, -451, -483, -539, -625, -747?\n\"Answer: -x**3 + 3*x**2 + 2*x - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 5930*d + 1758245 = 0.\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -3*v, 11*w - 12*w = -5*v - 6. Solve -w = -t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2*d**3*s**3 + 2*c**2*d*s**2 + 72*c*d**2*s**2 - 22*d**3*s**3 - d**3 wrt s?\nAnswer: -30*c**2*d**3 - 132*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -21*r - 128 + 4*r + 6*r. Let n be w(-12). Solve 4*q = n, -3*p - 5*q + 5 = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**4\/4 + o**3 + 13*o**2\/2 - 9*o - 111. Let a be g(5). Let k = 1 + -1. Is k greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 883 = 429. Let p(n) = 40*n - 12. Calculate the remainder when y is divided by p(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896013 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00084186551 to six decimal places.\nAnswer: 0.000842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u**2 + 7 + 5*u + 2*u**2 - 8 - 3*u**2. Determine d(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3118 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 12*n - 9. Suppose 3*u = -2*u + 55. Let g be p(u). Suppose -g*d + 113 + 37 = 0. What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -2, 0.89, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 6. Let i be x(-4). Solve 0 = -w - w + i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 29*l + 14. Suppose -3 = 4*s + 25. Let k = s - l. Solve k = p + 2 - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68070444 greater than -68070444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4 = 509*m - 513*m, 0 = 2*m + 2*w - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*3 + -2 + 1*2*sqrt(288) - -4*(sqrt(288) + (-1*sqrt(288) - sqrt(288))**2 + 5 + 2).\nAnswer: 108*sqrt(2) + 4634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*g**2*r**3 + 1048525*g**2*r**2 - 3*g**2*x - 934*g*r**4 - 2*g*r**2 + 2*r**4*x wrt r?\nAnswer: 162*g**2 - 22416*g*r + 48*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296578362.\nAnswer: 2, 3, 17, 2907631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 172127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 93619*v. Let g(a) = -15*a**2. Determine g(o(d)).\nAnswer: -131467757415*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47132.\nAnswer: 2, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(1\/8)*a)*a))**(-26)\/(a\/a**(15\/2)*a**(-27)*a) assuming a is positive.\nAnswer: a**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - -1) + (-173 - -180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 70 - 7*f**3 + 16*f**3 - 8*f**3 in the form w + c*f + m*f**3 + k*f**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104760 and 5040.\nAnswer: 1466640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000 - 0?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-268)\/(-2010)*10\/(-8))\/((-33)\/23364).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5356638934.\nAnswer: 2, 571, 977, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -153 - -3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4663, -11664, -18677, -25708, -32763, -39848, -46969?\n\"Answer: -o**3 - 6994*o + 2332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 0, 1, -2, -70, 3 in descending order.\nAnswer: 62, 3, 1, 0, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 511*l + 87 - 83 - l**3 + 2*l**3 + 382*l + l**3 to h*l**2 + y*l + b*l**3 + a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c. Let b(x) = 1720767*x**2. Calculate b(v(o)).\nAnswer: 172076700*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 47*g + 136 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/(-5 - -3). What is the units digit of ((-28)\/6)\/(i\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4775017 + 413?\nAnswer: 4775432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 + 5*f**4 + 35*f**3 - 5*f**2 - 30*f = 0. What is f?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111484970 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a day?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 2*s**2 + 2*s + 5. Give n(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003108996237 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -177*y + 359. Let w be g(2). Let v(t) = -4*t + 2. Let q be v(-2). Solve 0*o = o - 4*i - 17, -w*o = -i + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686666 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05934 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 7, g: 2}. Give prob of sequence lgl.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23107 = -5*n + 4*u, -4*u - 13 + 1 = 0. Let x = 8946 - n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiiipsspyshysipih. What is prob of picking 1 p, 1 y, 1 s, and 1 h?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 22, 252 in increasing order.\nAnswer: 6, 22, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100584 divided by 12573.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:27 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 21 + n**3 + 95 - 118 + 155*n - 2*n**4 to the form g*n**3 + w*n**2 + b*n**4 + j*n + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/6 + 89*r\/6 - 44\/3.\nAnswer: -(r - 88)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13333 (base 6) in base 4?\nAnswer: -200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/11)*m**5)\/(m**1\/m)**8)\/((m**(-2\/3)*m)**18*(m\/m**6)\/m**1) assuming m is positive.\nAnswer: m**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 3)*((-1 - 1 + 4)*(-3*u + 2*u - u) + 2*u - u + 5*u)*(3 - 5 + 1).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.54? (a) -3\/4 (b) -3 (c) -4 (d) -6\/7 (e) -105 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laq. Give prob of picking 1 l and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8062.184t?\nAnswer: 8062184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 9587824 + 312176. What is q rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173638?\nAnswer: 2, 17, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 45 = 11*m + 16, -3*y - 3*m - 24 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4711704 is divided by 2762.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 409*y**7\/14 + 154*y**3 - 37*y - 4. Find the second derivative of v(f) wrt f.\nAnswer: 24540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 7 + 7)*(38*o**2 + 62*o**2 - 19*o**2)*(12 - 12 + 7*o) as w*o**4 + j*o**3 + g*o**2 + s*o + h and give w.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 1. Suppose -z + 5*h = 5, 2*h - 3 = -5*z + 26. Let t = z + -1. Let c = 5 - t. Determine p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let f = 3608\/5 + -722. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -60*c - 2473. Let o be j(-67). What is the highest common factor of 455 and o?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80100 and 13293396?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*j**3*k - j**3*n**3 - 92*k*n**2 - 4*n**3 wrt j.\nAnswer: -162*j**2*k - 3*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from snsononnosnann.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3430.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 5. Let c be 2\/(-13) - (-1694)\/(-143). Let o = c + 6. Give h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-20)\/40)\/(2\/(-260))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f - 1. Suppose 3*m + 2*p = p + 4, 2 = m + p. Let t(y) = -4*y**5 + 4*y**4 + 8*y**3 - 7*y**2 - 3*y + 5. Let r(k) = m*n(k) + t(k). Factor r(l).\nAnswer: -4*(l - 1)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -18) + 201 + -218 + (9 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 12*n + 7. Let x(f) = -f**2 + 9*f - 14. Let c be x(6). What is the tens digit of p(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 375*v - 54050. Give j(283).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3972*m - 21316 = -76924 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 3634.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101133962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -74*g**2. Let s(k) = 8*k - 5. Let a(m) = -13*m + 8. Let q(p) = 5*a(p) + 8*s(p). Determine q(z(w)).\nAnswer: 74*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 1.348, -0.1?\nAnswer: 1.348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*k**3 - 16*k**3 - 44*k**3 + (-2 + 4 - 3)*(6*k**3 + 0*k**3 + k**3) to the form w + n*k + g*k**3 + f*k**2 and give g.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 46*i**2 + i + 1. Let y be g(4). Suppose -42*p - y = -45*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b**2 - 19*b - 56. Determine f(-4).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v - 1. Let k be w(-1). Let o = k + 7. Let m = 1 + o. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:50 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9981177*p**2 - 9981177*p**2 + 1175*p**5 + (-3*p - 4*p + 5*p)*(2*p**4 - 2*p**2 + 2*p**2) + 3*p**5 - p**5 - p**5.\nAnswer: 1172*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 578, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 3*d)*(1 - 1 - 5*d + (4 - 3 + 1)*(-2 + 2 + d) + (2 - 2 + 1)*(-3*d + d + 4*d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7+107464027\nAnswer: 107464020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 212.\nAnswer: -1\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/9 - 4\/(-18). Let z = r + 7. Suppose -4*h - z = -0*x - 2*x, -2*x + h = 1. Which is the nearest to 2? (a) x (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10840 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17924196 is divided by 4562?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4.4. Put z, -3, 0.5, -4 in ascending order.\nAnswer: -4, -3, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let l(q) = -3*q - 1. Determine l(h(f)).\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 - 1 - (-38 + 32)) - (20 - 67).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 x when four letters picked without replacement from {x: 3, y: 4, u: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 326030413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 6) in base 12?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 746 - 1221. Let j = 5 - p. What is the highest common divisor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14286*o - 14284*o = v + 10, 0 = 4*o - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201002 - -13300330?\nAnswer: 20101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147058 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: Suppose 0*c - 3*j = -c + 21, 4*c = -j + 149. Let x = 6 + c. Suppose -3*i + 12 + x = 0. What is the greatest common divisor of 72 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, 1\/7, 2\/3, -56?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -4*v, -5*l = 3*v - 2*l + 15. Let i = 104 + -59. Let r be 20\/(-6)*(-54)\/i. Solve 0 = r*o + 4*x - 1 + 9, -3*o - x - 10 = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(228) + sqrt(228))\/(sqrt(588)*2 - sqrt(12)) - sqrt(76)\/(sqrt(324)*-2)*6)**2 + 2.\nAnswer: 3118\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 450 = -35*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k + 43. Suppose 2*g + 5*c + 16 = 7*c, -c - 10 = g. Give u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Find the second derivative of 8*w**f + 23*w - 8*w**2 - 4*w - 2*w**5 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2466, -19258, -64696, -153102, -298798, -516106?\nAnswer: -819348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:04 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqp when three letters picked without replacement from qipi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -487 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*x**3 - 4)*(1 + 1 - 4)*(2*x**2 + 0*x + 0*x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**3)**(-7))**(37\/3))**(-16) assuming f is positive.\nAnswer: f**4144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1599 - 0.0589. Let y = -0.621 + d. What is y rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104 + 1905 - -1*4?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -34*n**2 + 0*n + 0*n**4 + 0 + 0*n**5 + 0*n**3 + 1\/210*n**7 + 0*n**6. Suppose c(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 1 + 32 - 6) + -36 + 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3552 and 962?\nAnswer: 46176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*c + 2\/9*c**4 + 0 - 2\/9*c**3 - 2\/9*c**2.\nAnswer: 2*c*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllhlll. Give prob of sequence llll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:24 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1059, -1068, -1089, -1128, -1191, -1284, -1413, -1584?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60385 and -347.\nAnswer: -60732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 33, 119, 271, 507, 845, 1303, 1899?\nAnswer: 2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*r + 2*p + 2 = 0, 3*r + 5*p = -5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*(-2)\/(-4)*(-43 + -3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + n**2 + 2*n - 3. Let i(o) = -o**2. Let m(k) = 4*i(k) + q(k). Let a = 20 - 18. Give m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 767 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429933 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 14703100 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9089*k + 9134*k + 540 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 22*s**2 - 18*s - 7. Determine m(21).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*j + 6 + 0 = 0, 0 = -5*l + 2*j + 2. Suppose p - l*s = 3*s + 43, -36 = -p - 2*s. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 820 = 5*w, -6*w = -3*w - 4*z - 509. Is w bigger than 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -41607?\nAnswer: 9985.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 17*r**2 + 52*r + 212. What is the thousands digit of z(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*32\/7 - (-638)\/2233. Calculate the highest common factor of g and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21222 + 2?\nAnswer: -21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*n + 9 - 4, 0 = 3*u - 2*n - 1. Let h be (0 + u)*(-1 - -3). Factor -2 - 4 + 3*p**h + 4 - 10.\nAnswer: 3*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5265 + 5269. Let h(v) be the third derivative of 7\/15*v**5 - 23*v**2 + 8\/3*v**3 + 0 + 8\/3*v**o + 0*v. Factor h(s).\nAnswer: 4*(s + 2)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (3 - 1) - 1) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 2*j**2 - 6*j - 3. Let k(p) = -5*p**3 + 7*p**2 + 26*p + 13. Determine 9*c(q) + 2*k(q).\nAnswer: -q**3 - 4*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 691 = -5*w + 42*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 8*a**2 + 7*a + 1. Let y be z(7). Let n be 3 + (1 - (-9 + 0\/y)). Solve 2*f - 3 = -n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 27040354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z = 1265 + 121. Solve -5*v = 4*x - 12 - 20, 2*x = -3*v + z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2340*d - 2337*d - 42. Let g be (4 - -3) + 42\/d. What is the greatest common divisor of 225 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/574?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 804313*x**3 - 2*x**2 + 341*x - 75 wrt x?\nAnswer: 4825878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(612)*-1 - sqrt(612)) + -1 + -4 + -1 + sqrt(612))*5 + 4.\nAnswer: 154 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 - 13 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2850057382 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -108.17?\nAnswer: -43.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000356439765 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00513 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/12)\/((-6)\/12)*(-9)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21162171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - f**2 + 0*f + (4 + 11 + 3)*(0 + 3 - 4)*(-f**2 + 143*f - 143*f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.09 + -0.09. Let r = -6 + a. Let t = 0.2 - 0.4. Sort t, r, 2\/3 in increasing order.\nAnswer: t, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) + sqrt(22)\/sqrt(2))*-3.\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*n + 242*n = 528. Let o(u) = 2*u**3 + u**2 + u + 3. What is the remainder when o(3) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/9)*g*g)**(7\/2))**37 assuming g is positive.\nAnswer: g**(9065\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-704976)\/(-15) - -2 - 4\/10. Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11194 = -196*q - 4680 + 27242 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27306253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t + 20. Determine u(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 2*m**4 + 0*m**4 + (-7*m + 2*m + 3*m)*(5*m**3 - 9*m**3 - 2*m**3) + 5*m**4 + 0*m**4 - 4*m**4 + 3*m**4 + 0*m**4 - 4*m**4.\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 13.75.\nAnswer: 14.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001798805669 rounded to six decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170013035 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 235, 469, 703?\n\"Answer: 234*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -134*u + 4938. Calculate q(33).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -332*f + 1663. Let o be v(5). Solve 3 = o*y + 15, 12 = j - 2*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/13 + 16*q**2\/13 - 18*q\/13 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3733\/5 equal to -747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from zjajz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v - 17. Let q be w(-3). Let n(c) = -c**3 + 7*c**2 + 20. Let h be n(q). Solve 17*u = h*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b - 18*b - 40*b**2.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -41. Let s be -2*6\/j*(4 - -6). Let x = s + -6. Solve -2*c + 1 = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 2\/3*w**3 + 0*w**2 - 2*w + 0. Let h(q) = 2*q + 11. Let a(s) = -s - 6. Let v(g) = -11*a(g) - 6*h(g). Give d(v(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3011*y + 1785 = -2926*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05576 + -137.61576. Let r = s + 131.06104. Let u = r + 6.5. What is u rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 7*z + 4. Let p be y(-6). Let s = -312 + 302. Let a be 12 + 0\/(s\/p). Solve 5*u = -j + 24, 5*u = 8 + a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7) - (31 + -31)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 11*q. Let b(z) be the second derivative of z**4\/2 + 16*z**3\/3 + 13*z. Let w be ((-17)\/(-3))\/(34\/102). What is w*m(c) + 6*b(c)?\nAnswer: 2*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126500 and 885500?\nAnswer: 885500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -61 - 7*x**2 + 8*x**2 - 202*x + 172*x. Let w be y(32). Solve -3\/8*h + 15\/8*h**w + 9\/8*h**2 - 3\/8 + 3\/4*h**4 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {g: 1, z: 2, r: 2, k: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21960, 54907, 98844, 153771?\n\"Answer: 5495*f**2 + 16462*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/(f\/(f*(f**(-1\/12)*f*f)\/f)*f*f))\/f))\/f**0)**27 assuming f is positive.\nAnswer: f**(333\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4875, 9726, 14491, 19128, 23595, 27850?\n\"Answer: -7*z**3 - z**2 + 4903*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -0.046, -597\/7 in descending order.\nAnswer: 0, -0.046, -0.4, -597\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 2, h: 1, u: 4, m: 8}. Give prob of sequence mm.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*o = -132*o + 474. Solve 3*b + 3 = o*q, 5*b - 7*q + 5 = -4*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 + 126 = 5*k - c, k = -c + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2393 divide 1717844530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111483634 + 0.0115?\nAnswer: -111483633.9885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 5*o - 5. Determine j(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/36 + 312\/(-54). Let g(z) = -z**2 - 5*z + 3. Calculate g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.83 - -29.13. Let y = -2 - 3. Which is the closest to 0.1? (a) j (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s - 10. Suppose 0 = -2*c + 6. Let k(v) = -4*v - 5. Let t(g) = c*r(g) - 7*k(g). What is t(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 85 and 3.3.\nAnswer: 88.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -354\/23 - -2404\/207. Let o = 154435663585524484\/132615 - 1164541443913. Let g = o + -1\/14735. Find the common denominator of f and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/27*(-10564)\/20. Let b = -1177 - d. Calculate the common denominator of b and -45\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -3.83\nAnswer: -0.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 13 + 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(-1*sqrt(8)*-5).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = j - 31, 5*p + 4*j + 0*j = 19. Suppose 4*b - 4 = 4. Solve 5*m = v + 7, -3*m - b*v - 3*v - p = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, and 1 g when three letters picked without replacement from {o: 6, i: 1, r: 2, y: 7, g: 3}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -119, -435, -969, -1727, -2715, -3939, -5405?\n\"Answer: -w**3 - 103*w**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102539?\nAnswer: 102539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1122347\/1911990 + 2\/41565. Suppose b + 3*b - 20 = 2*l, b - 11 = 2*l. What is the common denominator of l\/10 - 958\/(-220) and a?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15963 divided by -1411\nAnswer: -939\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*n - 14 = 0. Suppose -4*v + n*v - 5*t = 13, -5*v - 23 = 3*t. Let r = -1.3 + 4.3. Which is the closest to -0.1? (a) -5 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 6492728*y - 6492728*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 42674.\nAnswer: 213370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6076*l**2 - 6076*l**2 - 36 - 6072*l**2 - 6096*l**2 + 36 + 24288*l**2.\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 25807*h - 1702173\/2.\nAnswer: -(h - 51581)*(h - 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/5 - 10153126*f\/5 - 10153124\/5 = 0.\nAnswer: -5076562, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 0)*(-14)\/(-35). Let t = b + 6. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595013 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 17 + 3. Suppose 0*d = 5*d + u, 0 = -5*n - 5*d + 5. Let r(h) = h + 2. Does 2 divide r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.6411kg in tonnes?\nAnswer: 0.4096411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 1. Let s be p(2). Suppose 0 = c - s - 10. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360070*c**3 - 58698*c**2 - 3*c wrt c?\nAnswer: -2160420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2 - j. Suppose 2*a = -u - 12, -4*a + 9*a + 37 = -3*u. Let g = -8 - u. Let s(w) = w**3 - 3*w**2. Let f(h) = g*n(h) - 3*s(h). Factor f(b).\nAnswer: 3*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 7*k - 3. Let b be w(7). Let v be ((-5)\/(-2))\/(b\/(-6)). Let x = 4 + v. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 5*o - o)*(-10*o - 8*o**4 + 10*o).\nAnswer: 56*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**4 + 70605*l**3 + 119255620*l**2 - 19163837520*l - 9611723840 = 0.\nAnswer: -3604, -1\/2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62101340*c**3 + c**2*d - 57956652*d with respect to c.\nAnswer: 186304020*c**2 + 2*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 24 - 20) + -8 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335 - 667 - 662 - 552*q.\nAnswer: -552*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + (-1 - 10) - -11) + -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -4*t + 191039*s - 191038*s, 0 = -4*t + 3*s + 189 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14439 + -4?\nAnswer: -14442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (436\/2180)\/(2\/(-40)). Which is the nearest to 0? (a) n (b) 2\/13 (c) 4\/3 (d) 161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/i**(-3\/5)*(i*i*i\/((i*i\/(i**0\/i)*i*i)\/i)*i)**(-4\/33)*(i**(-4\/9)\/i**(-1))**(-22) assuming i is positive.\nAnswer: i**(-253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(76) + -5 + 5 - (2 + sqrt(76))*-6*4))*1.\nAnswer: 45 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - i - 2*i + 4*i + (19 - i - 19)*(7*i + 7*i**2 - 7*i))*(-2 + 0 + 0) to p + x*i**2 + a*i**3 + v*i and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13100 rounded to the nearest one hundred?\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -4\/9 (c) -0.61 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 60 - (2 + -24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = c - 19 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*k - 44 = 143 + 131. Sort 0.04, k, 0.67 in decreasing order.\nAnswer: k, 0.67, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105454, -210900, -316346?\nAnswer: -421792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/10)\/((-1)\/(-2112)). Suppose 0 = -4*o + d + 140. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-5)\/25)\/(3\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - m + 5 = 0, 2*g + 133 = -5*m + 152 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 23*j**3 - 9*j**3.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/780 and 5\/11492.\nAnswer: 172380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/1960 + 55176\/84084?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4 = d, 3005 - 3000 = -2*w - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0179 - 1.0179. Let y = 1 - 1.5. Which is the nearest to 1? (a) 0.4 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41676405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.09? (a) 1 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114)*-2 + sqrt(114)))*6 + sqrt(114))\/sqrt(6) + (0 + sqrt(19) + sqrt(19) + 4 + -1 + sqrt(19) + -1)**2.\nAnswer: 20*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -1277, -1273, -1267, -1259?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -425, -455, -485, -515?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - d + 4*d + (-2 - 4 + 4)*(-3*d - 4*d + 6*d) + 4 - 2*d + d + 3*d + (4 - 2 + 0)*(-d - 5*d + 4*d).\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1821 - 1542 - 14889*r + 16395 with respect to r.\nAnswer: -14889","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469163921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4017 = 5*h + 4*o, -h + 1326 = -3*o. What are the prime factors of h?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 14 + (12 - -3) + -2 - (-8 + -2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10\/(u\/(u\/u**(2\/11))))\/(u**(2\/53))**(1\/2) assuming u is positive.\nAnswer: u**(5713\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/344*(-1 - 0). Let z = 41\/172 + k. Is z >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -70. Let o(q) = -345*q**2 + n*q + 3 + 346*q**2 + 0. What is o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/(y*y**(-16)))\/y*y\/(y\/(y\/(y*y**12))*y) assuming y is positive.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 47 = -j, -5*j + 40 = 4*o - 48. Let p(t) = t**2 - 4*t - 6. Let y be (29 - 1)\/4 + -1. Calculate the remainder when o is divided by p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkvkvvv. Give prob of sequence kkv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2. Let w(l) be the third derivative of -l**4\/24 - 5*l**3\/6 + 2*l**2. Determine -5*b(k) - 2*w(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:22 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 35823?\nAnswer: 107469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.302329 weeks to seconds.\nAnswer: 1997248.5792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1254, -3, 0.3, 7, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20120005 divided by 7.\nAnswer: -20120005\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0113 + 3.0113. Sort b, 4, 5, -8.\nAnswer: -8, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 89 = c, 3*c + 21 = -0*s + s. What is the least common multiple of s and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-7)\/336*6*8\/(-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 13. Let f = 637\/1282 - -2\/641. Sort b, f, -4 in decreasing order.\nAnswer: f, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*y - 13 = 0, 0 = 5*r + 119*y - 121*y - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -z + 685, 179*z = 174*z - 4*r + 3393. Solve -20 = 687*t - z*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/135)\/(8\/(-20))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75, -72, -69?\n\"Answer: 3*p - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1. Let j(l) = 15*l - 2. Determine j(v) - 3*q(v).\nAnswer: 18*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.402 + -34. Let i = a - -0.59798918. What is i rounded to 7 decimal places?\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*o = 23*o - 82*o + 4294 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190425*g**3 + 98648*g**2 wrt g?\nAnswer: 1142550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.694973 to 1 dp.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 224891753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 278, 599, 1048, 1625?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 11. Let j be ((-7)\/(-2))\/((-3)\/6). Let g(k) = -k**2 + 5*k + 4. Calculate the least common multiple of z(j) and g(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 4*i. Let u(w) = -6*w + 14498. Calculate u(t(a)).\nAnswer: -12*a**2 - 24*a + 14498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q + 94. What is n(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110101 (base 2) in base 7?\nAnswer: -621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n)**(-12)\/((n*n*n\/(n**(-12)*n)*n*n)\/((n**(-4)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1494*n - 379508. What is l(-254)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6955 = -3*x - 1963. Calculate the highest common factor of x and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333.07 times -3767?\nAnswer: 8788674.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/340 or 1?\nAnswer: -3\/340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 24. Suppose -c*k + 17*k = -25. Let n = 8 + k. Solve -i + w - 3 = 0, i + n*w = -0*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61091*q**3 + 38100*q**2 wrt q?\nAnswer: -366546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwjjjiwjwnjjijnj. Give prob of picking 1 j and 1 n.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.285207 times 293\nAnswer: -83.565651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 7) to base 3.\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -28. Let g = 9.1 + -1.1. Let q = x + g. What is the second biggest value in 2\/5, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-3)\/(-1)) + 325\/(-26)*2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5652)\/1570*1025\/(-2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 19850.08ms?\nAnswer: 19850080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:04 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 22*b + 7. Let n be 2 + 11 + 1\/(-7)*-63. Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 23815*g**3 + 10*g**2 = 0.\nAnswer: -2\/4763, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 3*k, -3*s = -5*s + k + 13. Let u = s - 9. Suppose r - z = -2*r - 2, u = -4*z + 8. What is the second biggest value in -4, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcccjccimcccccmcm. What is prob of sequence cm?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11055 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(300\/8)*115*(-1)\/(-9)?\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -23*w**2 - 7*w - 26. Let g(j) = 22*j**2 + 6*j + 25. Let q(k) = -7*g(k) - 6*x(k). Find the first derivative of q(v) wrt v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -67, 3 in increasing order.\nAnswer: -67, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, -7 in increasing order.\nAnswer: -7, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1875359685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (815180\/15)\/((-348)\/(-261)).\nAnswer: 40759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/5, 1.4, -0.052?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-3))\/(-4) + (-4)\/(-6). Let c = 16 - 16. Let s be c - (-3 + 26\/8). What is the third biggest value in l, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1153116 divided by -3.\nAnswer: 384372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -1.41. Let u = 0.29 + -0.4. Let d = u + g. Which is the third smallest value? (a) -5 (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/10 - (6\/(-15))\/2. Let d be 14\/(3 - ((-152)\/(-28))\/c). Is 8 a factor of 238\/d*(6 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217368659*c**3*w + c**2 - 13365*c*w - w - 2 wrt c.\nAnswer: -1304211954*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2)*(-9)\/(-18) + 7. Let h = m - -72. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 18 - (-18 - -15 - -13 - -36)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 - 25c6b?\nAnswer: -25ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in -11, 2, -45769?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142.42 - 142.406726. What is v rounded to 4 decimal places?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116071337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -263.1 * 127\nAnswer: -33413.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 47 - 3 + 5 + 0 + (0 + 2 + 1)*(-2 - 2 + 5))*(-2*o - 3*o + 2*o).\nAnswer: 102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -37, 86, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.15, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0938417ng?\nAnswer: 0.0000000000000000938417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + 1. Let i be l(1). Let p = -269 + 266.73. Let m = -7.27 - p. Which is the nearest to i? (a) m (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-15))\/(26\/(-65))*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let t(u) = -5 - 22*u + 5. Calculate t(z(d)).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 663106 + -113506. Round p to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -1 - (53 + -54)) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3e (base 16) to base 5\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -116?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 + 1 + 0 - 1.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1545388134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n - 36*n = 12. Factor 4*r + 2 - 3*r - 28*r**n + 27*r**2.\nAnswer: -(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, b: 3}. Give prob of picking 4 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 806567, 806574, 806581, 806588, 806595, 806602?\nAnswer: 806609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 446. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 6 = -10*f. Suppose -f*u = 2*u. Is (-64 + -4)\/(-2 - u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. Suppose 5*w + 13 - 1 = f*x, w = 4*x - 28. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-1)*h)*h)\/h**(-3\/7))\/(h\/h**7)**(2\/23) assuming h is positive.\nAnswer: h**(-8\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1 (c) 0.3 (d) 0.5 (e) -218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 62. Suppose -3*j = -0*j + m + 59, -m + 1 = 0. Calculate the common denominator of 17\/2 and (404\/j)\/(s\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2418937, 9675801, 21770581, 38703283, 60473913, 87082477, 118528981?\nAnswer: 154813431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378*k + 4 - 708*k + 181*k to y*k + t and give y.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 78. Suppose -2*l = 6 - 30. Let z = b - l. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71*(-58)\/(-8236))\/(((-26)\/(-384))\/13)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 316*n - 2154. Give s(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -419 - -842. Suppose -5*k - 3*p + 0 = -3, 5*k + 2*p - 7 = 0. Suppose -6*r + i = -k*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9879969 to the nearest integer?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/359695 and 37\/2408.\nAnswer: 2877560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 13*q**2 - 28*q - 35. What is u(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84)*1)\/(sqrt(35)\/(sqrt(15)\/sqrt(3)) + sqrt(7) - sqrt(42)\/(sqrt(12)\/sqrt(2) + sqrt(6))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8664 and -4\/9583467.\nAnswer: 76667736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:51 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q. Let p(g) = 5*g**2 - 2. What is i(p(t))?\nAnswer: -120*t**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 325*q - 320*q + 12880. Let f = -7630\/3 - q. Factor -2\/3*l**2 + 28\/3*l - f.\nAnswer: -2*(l - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*g - 5 + 30, g = -4*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ad1ee - -4d?\nAnswer: 1ad24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 29*v**2 + 5*v**2 + 15*v**2. Let c be i(-1). Let k = c - 36. Calculate the remainder when 26 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -38, 1\/4, -47, -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.3 - -14. What is s rounded to 0 dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-219)\/(-12))\/((-2)\/(-24)). Let d be (-2)\/(-1*6\/z). Let a = d + 7. What is the remainder when a is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 7*n - 11250000 = 0. Let v be ((-32)\/10)\/(15\/n). What is v rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-14)\/(-12*25\/10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 3780 - 784. Suppose 175*k - w*k = -1500000. Round k to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*q - 1, -2*v = 2*q - 6*q - 14. Let r = 197 + -197.2. What is the fourth biggest value in r, 2, 0.21, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.89, -3\/5, -5615 in descending order.\nAnswer: 1.89, -3\/5, -5615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 - 193. Let y(z) = z + 7. What is the least common multiple of (-18)\/(-108) - 35\/i and y(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(-1\/3)*(j\/(((j\/(j*j\/j**(-1\/3)))\/j)\/j))**(-5\/13) assuming j is positive.\nAnswer: j**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -0.2. Let o = -27 - -25. Let n = -3.43 - 1.57. Which is the closest to t? (a) o (b) n (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z. Suppose 0 = 4*n + 3*b - 28, z = 2*n - b - 39 + 15. Solve 2*r - 7 = -4*l - 23, -4*l = 5*r + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -18*b**3 + 4*b**2 + 2*b - 12. Let w be d(2). Let k be w\/119*7\/(-2). Solve -r - 5*z = 0, 0*r - 5*z + 25 = -k*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/330 and 143\/27960?\nAnswer: 307560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:57 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/44 and (-11740)\/(-8)*(-23)\/71070 - (-4)\/6?\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25086 + 90571. Suppose 27*w = 34*w - d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*b + 2*u, 3*b - 3*u + 56 = 74. What is the closest to -11 in 0.3, 8, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 + 3 = 3*h, -x - 5*h = 3. Let g = -1 - x. Let t = g + -2. Put 5, t, -4 in decreasing order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 280396046*h**4 - 5*h**2 - 34286769*h?\nAnswer: -120*h**2 - 6729505104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 15) + (-3)\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/60 + a**3\/6 + 6*a**2. Determine t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**8\/112 - m**7\/70 - 277*m**6\/120 - 2719*m**5\/30 + 1556*m**2 + m. Find the third derivative of v(k) wrt k.\nAnswer: 180*k**2 - 72*k - 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59820 = -97*u + 82*u. List the prime factors of u.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - v + 0*v - 35 = 0, 3*v - 23 = -2*f. Let o = f - 11. Suppose h - o*h + 44 = 0. Solve -h = -5*l + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345199.1cm to millimeters.\nAnswer: 3451991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 56030 = 373607. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, m: 1, g: 2, n: 2, b: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5)**(-3)\/(r**(2\/19))**(1\/9))**8 assuming r is positive.\nAnswer: r**(-24640\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 24*r**2 - 23*r. Let y be c(-23). Suppose y = 13*o - 8*o - 30. Is (-7 + o)\/((-2)\/2146) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/21)\/(9*-1*(-384)\/2304)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 3*a + i*m = -2*a + 32, 5*m = -4*a + 23. Let f(g) be the first derivative of g**3\/3 - 5*g**2 + 6*g + 360. Determine f(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347730239?\nAnswer: 3, 31, 137, 139, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 78, -516, 2\/5, -0.3, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 100223424?\nAnswer: 100223433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -3 (c) -0.5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -447346.2853 rounded to the nearest ten?\nAnswer: -447350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z**2 - 6*z. Let s(m) = 71*m - 32. Calculate s(c(t)).\nAnswer: -568*t**2 - 426*t - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 7*l - 3. Let a(d) = -4*d - 722. Calculate h(a(y)).\nAnswer: -64*y**2 - 23076*y - 2080085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.9 - 23.9. What is the second smallest value in 0.4, 4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -1100011110101110001011?\nAnswer: 1100011110101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 47 = 3*r, 0 = -5*r + m + 4 - 119. Does 54 divide (1215\/60)\/((-1)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 - -317. Solve -2478*q - p = -2490*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -13, -5, -1\/3, 427162?\nAnswer: 427162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**4*x**3 + b**4 + b**2*x**2 + b**2*x + 2*x**3 wrt b.\nAnswer: -144*b*x**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4518985 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(161\/(-2))*-2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 121\/3. Let k be 16\/152 - (-1334)\/(-4370). Put k, 17, 4\/3, h in decreasing order.\nAnswer: 17, 4\/3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10895 not equal to -10896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -10) + (19 - (5 + 12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8*c + 556 = 11*c, 4*d - 2269 = 3*c. Let o = -7348\/13 + d. Are -1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2637 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(66)\/(sqrt(24)\/sqrt(4)))**2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(176) + -3)**2 + 2 - (-3*(sqrt(11) + -1)*-1)**2).\nAnswer: -18*sqrt(11) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 52 = -100 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let v be 6 + -4 - n\/(-1). Let g = 4 - 5. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 49*r**3 + 6*r**2 - 6*r. Let j(g) = 735*g**3 + 91*g**2 - 91*g. What is -6*j(u) + 91*m(u)?\nAnswer: 49*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-70)\/(-25) + 2\/10. Let x be 4 - (0\/d - 1). Let g = 4 - x. What is the nearest to g in -2, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -27, -51, -63, -51?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -38, -83, -146, -233, -350?\n\"Answer: -y**3 - 26*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*b - 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2177 or -2045?\nAnswer: -2177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 1, -732 in ascending order.\nAnswer: -732, -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 1967350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1\/3*-3. Suppose q + a = -2. Let h be (43\/4 + -9)\/(15\/20). Is q < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m + 130*m - 9*m - 36*m - 26*m - 34*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*((-9)\/48 + (-37225)\/(-164400))?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.2 in 0, 3, 6\/7, 3\/8, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**6\/24 + d**5\/12 + 5*d**2\/2 - 4*d. Let k(n) be the first derivative of r(n). What is the third derivative of k(f) wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from aokfz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6*84\/(-45) - (1 + 3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from {h: 7, q: 3, a: 8, i: 2}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 5*d - 4745 = -20*x, 0 = -2*x + 5*d + 937. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/140 + 11\/20. What is the common denominator of d and 11\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n**2 - n + 3. Let d(k) = -k**3 + 14*k**2 - 12*k + 7. What is -d(u) + 3*v(u)?\nAnswer: -2*u**3 - 8*u**2 + 9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3239 - -6*2\/4) + -3?\nAnswer: 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**4 + 0*p**2 + 1\/3*p**5 + 0*p - 1\/3*p**3 + 0.\nAnswer: p**3*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -327787, -1312597, -2953949, -5251843, -8206279?\n\"Answer: -328271*z**2 + 3*z + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -550922?\nAnswer: -275461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 1. Let l be k(6). Let q = -12 - l. Suppose q*i = -0*i + 5. Let b(y) = 8*y - 1. What is b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 13*b - 13*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47635637*l**3 - 1769837*l**2 - 3?\nAnswer: -285813822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54086688 - -0.3.\nAnswer: -54086687.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767109 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 14447*j**2 - 173220*j.\nAnswer: -j*(j + 12)*(j + 14435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 91*s - 19*s + 765 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 23 (c) -4\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1882298, -3764594, -5646890, -7529186, -9411482, -11293778?\nAnswer: -13176074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -19, -1, 136, 2, 9 in descending order.\nAnswer: 136, 9, 2, -1, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/9 + -2\/45. Let v(s) be the first derivative of s**3\/3 - s**2 - 2*s + 1. Let q be v(3). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w**3 - 1 - 15*w**3 + 2 - 3*w**2 + (-3*w**2 - 17*w**2 + 4*w**2)*(4*w - 2*w - w) in the form q*w + p + l*w**3 + m*w**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -54*u**2 - 19*u - 16. What is a(-1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -10*t + 14*t - 58, -6*s - 3*t = 54 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 30*l + 196. What is z(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/55*26466\/(-50526)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, t: 4, d: 2}. What is prob of picking 1 f and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 130 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(832) + -4)**2 + 4.\nAnswer: -64*sqrt(13) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.14. Let f = 0.041 - 0.451. Let x = f + s. Put x, -0.1, 4 in increasing order.\nAnswer: x, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 5. Let x(j) = -j**3 - 12*j**2 + 13*j. Let d be x(w). Suppose g - i = 35, d = -4*g - 4*i + 115 + 1. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 425 and -100.007.\nAnswer: 324.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577445 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 136 = -5*t. Let y = -108 - t. Let v = -40 - y. Solve v = 4*z + 7 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 2 + 2)*((3 - 6 + 1)*(0*z - z - z) + 609 - 609 + 44*z) - 5 + 3*z**2 + 5 as d + m*z**2 + k*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxqq when four letters picked without replacement from qqqqqqqqxqqqqxxxqx?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4271 = -57*i + 2027 + 656. Solve -i = a - 118 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2121)\/24 - (-3)\/8. Let n = -90 - k. Let v(l) = -3*l - 1. Let h be v(n). Which is the fourth smallest value? (a) 4 (b) h (c) 0 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352541444 (base 6) to base 14\nAnswer: -c32872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 225.36 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -9. Is 17 a factor of (-68)\/3*(-6)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 805, -32 in ascending order.\nAnswer: -32, -5, 805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 16 = 2*p. Suppose 14*k + 23 = 65. Suppose -w = -4*h + 2*h - 6, 0 = w - k*h - 9. Sort -4, 3, w, p in ascending order.\nAnswer: -4, w, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 454 - 0?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20248133*u + 68267173 with respect to u.\nAnswer: 20248133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f + 71*f + 58*f - 305 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -316*f + 26. Let z(t) = -317*t + 22. Calculate 6*y(d) - 7*z(d).\nAnswer: 323*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708*j**3 - 1020*j**2?\nAnswer: -4248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w + 3. Let y(a) be the second derivative of -a**3 - a**2\/2 + 4*a. Let b(s) = -4*t(s) - 9*y(s). Calculate b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -5*3\/3. Let v = -3 - m. Solve 4*s + v*o + 2 = 0, 0 = -4*s + 5*o - 6 - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881051189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-27)\/(-84)))\/((-3)\/3*18\/(-36)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*x = 0, -8*q = -3*q - 4*x. Let g = q + -1. Let u = g + 7. Calculate the remainder when 17 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483 + 583. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27139 divided by 3\nAnswer: -27139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 10, 4*w - t - 6 = 3*w. Let r(x) be the third derivative of -6*x**2 + 0*x**w + 1\/30*x**6 + 0 + 0*x + 0*x**3 + 2\/15*x**5. Factor r(g).\nAnswer: 4*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(66)\/sqrt(6)))\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -0.2, 1211\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 0 + (-16 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/7 - (-30)\/70. Suppose -3*t = -z - 4, 7*z - b*z + 2*t = 48. What is the greatest common factor of z and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 1 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 8:09 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + -2. Let c = w + 12. Is 4 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 14465 = 7284 + 7229 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/3)*x*x**(3\/5)*x*x**(-2\/19)*x*x**(1\/4))**47)**(-4\/25) assuming x is positive.\nAnswer: x**(-289943\/7125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-3)\/(-15) - -1. Solve 4*m + 3*b + 14 = 0, 4*m - 6 = q*m + 5*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 f when four letters picked without replacement from {c: 5, u: 2, f: 7}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2. Let v be c(3). Suppose 0 = -2*u - 5*z + v, u - 40 = -4*u + 2*z. Let m = 61736 - 61734. Put u, -3, m in ascending order.\nAnswer: -3, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + u. Let v = 14 + -26. Let t be (-16)\/3 + 8\/v. Determine q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 1760504?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:43 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974 - 695*s**3 - 4165*s + 1147 - 676 + 564*s**2 - 4161*s**2 - 20*s**4 - 2688*s**2 = 0.\nAnswer: -17, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196, 299, 782, 1247, 1688, 2099, 2474, 2807?\n\"Answer: -w**3 + 502*w - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - 12\/((-18)\/(-6)). Solve -k*q + 3*q = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247 - 247 + 494 - 9218*h + (2*h - h + h)*(-1 - 3 + 2) to c + m*h and give m.\nAnswer: -9222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 46 + 28 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141 is divided by 419.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 11) in base 7?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -161.2.\nAnswer: 158.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -365625*l. Suppose -14*u = -4*u - 160. Let w be j(u). What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = -r + 88*m, 14 = -4*r - 6*m + m + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 7 in ascending order.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*q - 8, 4*q + q = c - 8. Suppose 0 = -6*b - 0*b + 30. Sort -1, c, b, 24 in decreasing order.\nAnswer: 24, b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, k: 4, j: 8, a: 4}. Give prob of picking 3 n.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 - 2*f + 3. Let k be n(0). Suppose 4*y = -k*y + 266. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/282)\/(41429\/21933)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3015)\/(-25) - 3\/5. What is the highest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 0*l + 0*l - 10*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + d - 6 = -13*f, -5*f + 4*d = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3054630 (base 9) to base 14\nAnswer: 306325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8433.401 - 2139.\nAnswer: 6294.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 35*o**2 + 109*o - 96. Calculate the remainder when y(-38) is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 10*f**2 + 2*f + 4. Let h be u(-9). Suppose -4*y + h = -13. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-231) - (-297)\/1089. Factor -t*p + 2\/7 - 1\/7*p**2.\nAnswer: -(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 (base 7) in base 12?\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34085?\nAnswer: 5, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k - 5*t - 115645 = 0, 5*k + 4*t + 289070 = 0. List the prime factors of 4\/(-38) - k\/114.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -3*m, 2*m - 3*m + 2 = 0. Let q(i) = -i**2 + i + 2. What is q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 + 94\/141?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 - 98. Suppose v + 8*v - 306 = 0. What is the lowest common multiple of v and b?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 176.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtff when four letters picked without replacement from fiiittifijxijgf.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36 - 36 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32613731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Let f = -1 - -1. Solve c*l - 5*a - 1 - 22 = 0, f = -l - 3*a - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2058199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 2}. What is prob of picking 1 c and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 20\/(-28))*42.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -g - 2*d, 2*g + 20 + 24 = -3*d. Suppose -3*f - 3*y = 45, 2*f + 2*y + 3*y = -24. Let h = g - f. What is the smallest common multiple of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 20. Let v = -51 + m. Solve i = 4*k + k + v, 4*i = -4*k - 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + 24. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*(sqrt(152) - sqrt(152)*-1)*3)\/(sqrt(392)*-2*2))**2 + 1.\nAnswer: 367\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -435, -1688, -3783, -6726, -10523?\n\"Answer: -k**3 - 415*k**2 - k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9001962, 9001961, 9001960, 9001959, 9001958, 9001957?\n\"Answer: -v + 9001963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*h**2*n**2 + 4*h**2*n - 2*h**2*v*z + 4*h**2*z + 25*h*n**2*z - 9*h*n*v - 826*n**2*v wrt v.\nAnswer: -2*h**2*z - 9*h*n - 826*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 558389.8755267827 - 4.9761067827. Let m = 558314.9 - k. Let t = 70 + m. Round t to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 3.9, 0.14, 9\/5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.8214 milligrams to grams.\nAnswer: 0.0608214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Suppose 3*x - 6 - a = 3*g, 0 = -5*x - g + 14. Suppose -9 = -x*b - 0*b. Solve b*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 5. Let d be j(5). Let p(w) = w**3 + 6*w**2 + 3*w - 6. Let t be p(-5). Suppose -26 = -2*k + 5*x, t*x + d = k + k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3069098 is divided by 1239?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 0, 116, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-41)\/(984\/96) + (-2 - -3727)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3068 + 2574 = 50*p - 2758. Calculate the remainder when p is divided by 64.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.111 - -1.311. Which is the nearest to -2\/7? (a) -4 (b) o (c) 13 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let a = 105 - 103. Let k(w) be the second derivative of 0 - 1\/6*w**4 + 0*w**2 + 1\/20*w**5 - 2*w + 1\/3*w**3. Determine a*k(u) + 3*l(u).\nAnswer: 2*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(11\/((-33)\/4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -70*y**3 + 3*y**2 - 6*y - 17. Let n = 953 + -955. Is p(n) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 438, 631, 824, 1017?\n\"Answer: 193*k + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -2*z, 4*z - 22 = -5*b - 13. What is the remainder when 186\/26 + (-30)\/195 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:29 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-36) + (-1)\/(-4). Which is the closest to l? (a) -2 (b) 4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 4, b: 1, c: 2, a: 1, d: 4}. What is prob of sequence ab?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225181374 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.2, 2, 0.65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5259398+-12042\nAnswer: -5271440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3543425202, -3543425203, -3543425204, -3543425205, -3543425206, -3543425207?\n\"Answer: -h - 3543425201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -6)*((-2)\/1)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.269 from -779028.3302.\nAnswer: -779028.5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u = -28*u - 17*u + 64*u + 3*w + 8, -4*w - 16 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/2 + 109*w**4\/2 + 6*w**3 - 17342*w**2 - 16648*w + 101760 = 0. What is w?\nAnswer: -16, -3, 2, 20, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 83*x - 2332. Determine y(105).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6050*p - 8020. Does 20 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -195b?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 12*a + 1. Let u be 2528\/(-3) - a\/(-3). Is 5\/20 + u\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316 is divided by 601?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let d = p + 1.2. Let v = 0 + d. Which is greater: -0.2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/15 + 27*l**5\/5 + 170*l**4 + 7514*l**3\/3 + 14739*l**2 - 818*l. What is q in n(q) = 0?\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91, -1064, -3705, -8848, -17327?\n\"Answer: -139*y**3 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 102*q**2 + 5*q + 10. Let o be l(6). Let s(u) = 3712*u - u**2 - o*u. Let w(z) = -12*z**2 - 8*z + 4. Let c(t) = 16*s(t) - w(t). Factor c(n).\nAnswer: -4*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -845*q**3 - 6*q**2 - 2*q - 2. Let u be z(-3). Suppose 12*x = u - 5113. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n*n**14)\/(n\/n**(-10)*n)**(9\/8) assuming n is positive.\nAnswer: n**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161640.\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.159 - -0.258. Let i = 0.155 - t. Are i and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.55*2399\nAnswer: 1319.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 228*i**3 - 86 + i + 114*i**3 + 112*i**3 to the form d*i + s + w*i**2 + o*i**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -4, 14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 2, -2\/31, -3 in decreasing order.\nAnswer: 7, 2, 1, -2\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:07 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 8*m + 3. Let i be n(7). Let u = -4 - i. Solve 0 = 5*a - u*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.72483 times 7\nAnswer: 26.07381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 (base 9) in base 10?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*n - 4 - 1, 21 = -5*j + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 493*b**2 - 493*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = -2*r + 8, -3*r - 5*u = -22. Suppose r*c = -3*j + 8568 - 1460, 0 = -4*j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s. Let f(q) = 3504*q**2 - 1. What is a(f(l))?\nAnswer: 24528*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 2. Let d = 1537 - 897. Suppose -d*t + 21 = -643*t. Let f(u) = 11*u + 5. Calculate t*o(n) + 3*f(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 106. What is y(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(-3*sqrt(605) + -2))**2 - (-4*sqrt(45) + sqrt(5) + (sqrt(245) - sqrt(245)*-1 - sqrt(245)))**2*-6).\nAnswer: 4224*sqrt(5) + 175328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17410 - -12590. What is v rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + f = -2*a + 2, 0 = 2*a + 2*f + 4. Does 8 divide a + (-5)\/(15\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19546228 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 110. Suppose -5*u + 18 = 2*s, -2*u + 3*s - 3 - 5 = 0. Suppose -u*k + o = 3*q, -3*q - 5 = -2. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 15 = 29*k. Suppose 0 = 2*y - k*y + 165. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/230332 and -9\/68582.\nAnswer: 12207596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1768*j - 42399. Determine o(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 1, b: 1, n: 2, q: 2, r: 1}. Give prob of sequence rj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.63 + 81.582. Let w = 58 - k. Round w to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqc when three letters picked without replacement from {c: 19, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11004 divided by 12?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3888 + -7390. Sort d, -3, -0.4 in increasing order.\nAnswer: d, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22730 - 1136421\/50. Find the common denominator of i and -187\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1953255 = -u - 4*q, -u = -47*q + 43*q - 1953287. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 6624.\nAnswer: 1\/2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12229 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -0.1 (b) -1 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7573474*z**3 + 6*z**2 + 749*z - 185?\nAnswer: 45440844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060521673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - p = -3973286, 2*c - 7*c - 19866390 = 5*p. Let d = 1873282 + c. Round d to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 58357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.2. Suppose 3*s + 15 = 5*l + 50, 2*s + 2*l - 34 = 0. Suppose -8*h + 5*h - s = 0. Sort 4, h, y.\nAnswer: h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2 - 4 + 1 + 7*m. Let g be c(-1). Let i be ((-3)\/(-12))\/((-2)\/g). Solve -7 = 2*j - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnuuunum. Give prob of picking 1 n, 1 m, and 1 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41435262 (base 7) in base 8?\nAnswer: 15234555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688563259.\nAnswer: 4688563259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 0)*-3))**2 + sqrt(1331))*-2*1 + 4.\nAnswer: 88*sqrt(11) + 266204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 129369, 129373, 129381, 129393, 129409?\n\"Answer: 2*q**2 - 2*q + 129369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*s - 2*i + 1, 3*s + 1 = i. Suppose -11 + s = -5*a. Let j be (-7 + (0 + 7 - 3))*1. Sort 0, -2, a, j in descending order.\nAnswer: a, 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000 (base 2) to base 5.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183 + -279 - (-218 + 7)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(((1 + (sqrt(17) - sqrt(1377)))*5*4*1)**2 + 1) + -1.\nAnswer: -2613607 + 38400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 8, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3713011774 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163\/9 + 18. Let l = -2237 - -2248. Let n = 5\/22 - 43\/44. Which is the smallest value? (a) n (b) l (c) j (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -1\/24 (c) 0.4 (d) -0.5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -306*y - 10 - 311*y + 3*y**2 + 620*y - 4*y**2. Determine p(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10591*53.2.\nAnswer: 563441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 342414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*a - 24 = 0, -3*w - 5*a + 11 = -7*a. Let v be 1464\/36 + 6\/(-9). Suppose -35*i + v*i = 20. Solve 4 + 1 = -w*y - 5*h, 8 = i*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -418004, -835998, -1253990, -1671980?\n\"Answer: o**2 - 417997*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 397096.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -98\/3 (c) -5 (d) -0.1 (e) -6 (f) -6\/139\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 68*y**3\/3 + 961. Let c(n) = -4*n. What is h(c(x))?\nAnswer: 1088*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -18. Let d be (y\/10)\/(1\/80). Suppose m + 48 = 2*h - m, -d = -4*h - m. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/z**(-6))\/(z**(2\/3)\/z**(-4)))\/(z**(-8)*z**3)**23 assuming z is positive.\nAnswer: z**(337\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 5 = -30*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 22*l - 37. Determine s(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353770 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 10, y: 3, t: 4}. What is prob of sequence jj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1374*o + 3912*o + 268*o + 3737*o to the form r + c*o and give c.\nAnswer: 6543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + -67 - (6 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from {h: 2, i: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*6075656.\nAnswer: -1579670.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5190100 and 32?\nAnswer: 41520800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.5 + -12. Let q = -114 + 98. What is the third biggest value in -0.4, o, q, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14865424?\nAnswer: 2, 7, 67, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.34 + 0.06. What is the closest to -1 in i, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-19))**45 assuming i is positive.\nAnswer: i**945","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5.16, 0.5 in decreasing order.\nAnswer: 0.5, 1\/5, -5.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/24 - (-5)\/((-30)\/(-712)). Let f = 11 + d. Calculate the remainder when f is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/19060 and 31\/84?\nAnswer: 400260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 42*a - 566. Determine g(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 17 = -1. Let g be (-2)\/3 + (-436)\/r. Let l(f) = -f**3 + 19*f**2 - 32*f - 25. Let a be l(17). Calculate the greatest common factor of a and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, 5, 0, -133, -0.7.\nAnswer: -133, -1, -0.7, 0, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075217729 rounded to 3 decimal places?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -5*t + 4*f, -3*t + 6 = 3*f. Suppose -5*h + c + 8 = t, -c = h. Let d(b) = -12*b**2 - b. What is d(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 3*m - 2*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*60\/70 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 702232 = 2*o - 82842, -5*v = 4*o + 1238775. What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*v + 120, -7*v + 2*v = 3*w - 110. Calculate the highest common factor of 15 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*i + 39, j + 57 = 5*i + 5*j. Solve -i = m + 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 159, -5, -2, -18, 4 in ascending order.\nAnswer: -18, -5, -2, 3, 4, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15743 - 15742. Let j = 0.05 - -0.01. Let t = j + 4.94. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**2 - 24788*f + 49528.\nAnswer: 4*(f - 2)*(3*f - 6191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/90 + o**4\/72 + o**3\/18 - 3*o**2\/2 - 7*o. Let p(w) be the first derivative of z(w). Suppose p(v) = 0. What is v?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 40\/1561?\nAnswer: 40\/1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2 and 27\/6506.\nAnswer: 6506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286348 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1\/2))**(-10)\/(t*t*t**(-1)*t*t)**45*(t**(1\/2))**(4\/31)*(t*(t\/t**(-1\/4))\/t)**(-47) assuming t is positive.\nAnswer: t**(-27117\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (936\/10)\/(8\/40). Suppose 0 = l + 3*l + m. Let b be (-6)\/l*(-2 - 1). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 592, 20\/11, -0.7?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758.3 - 0.5.\nAnswer: -758.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - 432309?\nAnswer: -432342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16\/3 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.014, 2\/11, 3, -2\/7 in decreasing order.\nAnswer: 3, 0.3, 2\/11, -0.014, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208) + 1 - sqrt(208))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c7350 (base 13) to base 11.\nAnswer: -104a352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2139720 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 3*p + 5*p**2 + 4 + 0*p**3 + 2*p**3. Let o be q(-3). Is (0 - o)*(-2 - -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1833 + -1841. Let i(h) = h**3 + 10*h**2 + 10*h - 3. What is i(q)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = y + 64, -c - 2 = -0*c - 5*y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -272 - 44 - 8*m + 9*m + 9*m + 8*m in the form x*m + s and give s.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:56 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/2315 + -210797\/50930. What is the common denominator of 43\/22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 138 - 3631 = 3*y, 3*a + 2*y = 2624. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 15 = 5*a, -5*g - 3*a - 626 = -617 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/k*k*k)\/k**(-6)*k\/(k**2*k)*k*k**(-3\/5)*((k*k*k**1*k)**10)**(-2\/11) assuming k is positive.\nAnswer: k**(-261\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -129, -195, -261, -327?\n\"Answer: -66*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 125 = 219. Let b = -41 - a. Calculate the greatest common divisor of b and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:38 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - sqrt(7)) + (sqrt(63) + -1 - sqrt(7))**2)*-3 - (1*sqrt(672) - sqrt(42))\/(-6*(sqrt(6) + sqrt(6) + -2*sqrt(6)) + sqrt(6)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - -6 - (0 - (1 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000001307 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.526 - -0.126. Let j = w - -6.400000081. What is j rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 92\/3 (c) -0.25 (d) -0.5 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -70?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d**2 - d**2 + 0*d**2. Let r(n) = 28*n**2 + 16*n. Let j = -5 + 10. Let t(m) = -9*m**2 - 5*m. Let u(o) = j*r(o) + 16*t(o). Determine k(u(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = -5*s - 189 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 47 + (-1 - -8) - -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 205817 = 5*p, -330005 = -5*z - 3*p + 184553. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*i - 1796, -369*i = -368*i + 3*z - 904. What is the highest common divisor of 1432 and i?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j - 8 = 0. Let x be j\/5*(-9 - -19). Let b be 2*x\/(-204) + 0. Is b at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5392 - 4?\nAnswer: 538d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pre when three letters picked without replacement from {e: 4, p: 10, x: 2, r: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*o + 514, -2*o - 2*o - 2*x = -526. Let a = -1516 + 1519. Suppose -o = -a*d - 2*d. Calculate the highest common factor of 39 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:10 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1358 or -1360?\nAnswer: -1358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + 6. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/8*(-6)\/9. Which is the smallest value? (a) 1 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001158 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + 147. Let o(h) = 9*h**2 - 8*h + 7. Let u(i) = 8*i**2 - 7*i + 6. Give q*o(z) + 6*u(z).\nAnswer: 3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 + 317. Suppose -8*o = a - 10*o - z, a - o - 120 = 0. List the prime factors of a.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10587, 21119, 31651, 42183?\nAnswer: 52715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 10. Suppose 2*g - 10 = -2*z, -3*z - 2*g = -10 - t. Find l such that -2*l - 7*l**3 + 23*l**2 - z*l**3 + 2 - 11*l = 0.\nAnswer: 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11350\nAnswer: -2\/5675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 13840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 58679 = -y, 4*y + 36360 = -3*g - 7635. Let t = g + 40269. What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777612 to the power of 1\/2, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*d + 17 = 0, 0 = -92*z + 97*z - d + 40 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-5))\/(0 - (-14)\/1855). Suppose -5*x + 954 = -u. Let f = 325 - x. List the prime factors of f.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - sqrt(325)*1*4)*1 + -4 + (-2 + sqrt(637) + -2)**2.\nAnswer: -71*sqrt(13) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -37. Suppose 13 = s*h + 3*i, 0 = 2*h + i + i - 6. Let j(l) = l**2 - 6*l + 2. Let f be j(7). Solve h*p + f = -7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 26*y**2 + 97*y - 697. Give k(-20).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-32)\/j*j\/(j\/(j*j\/(((j**23*j)\/j)\/j))*j)*(j**(-33))**(-5))**49 assuming j is positive.\nAnswer: j**5537","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-3))**(-13) assuming t is positive.\nAnswer: t**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.12292us in minutes?\nAnswer: 0.000002035382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05196, -2\/13, -0.3, -3, 1.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/39 and 7\/(-6)*(-120)\/(-330).\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613552 to the power of 1\/2, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/3 - 22*d**3\/3 - 26*d**2 - 98*d\/3 - 40\/3 = 0. What is d?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39230 and 35307?\nAnswer: 353070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -281, -564, -847, -1130?\n\"Answer: -283*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773233821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**4 + h**3 - 1618*h**2 + 54*h + 5606819?\nAnswer: 12*h**3 + 3*h**2 - 3236*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.81 + 0.11. Let d = 0.1 - t. Let i = -0.75 + d. What is i rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 11 = -w + 2*h, 4*w = -3*h + 5. Let l(y) = y + 1. Let d(q) = -4*q - 5. Let z(f) = -1. Let v(m) = d(m) + z(m). What is w*v(x) - 5*l(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s\/(s**(1\/3)\/s)*s))**(-4\/19)*s**(-1)\/s*s\/(s*s*s**(-1\/4)))**(-10\/19))**(-9\/5) assuming s is positive.\nAnswer: s**(-1353\/722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125006898.\nAnswer: 2, 3, 1913, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9393.363ng?\nAnswer: 0.009393363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (312\/240 + 4\/20)*16\/6. Let v(o) be the second derivative of 2\/5*o**5 + 0*o**f - 4*o + 0 + 0*o**3 + o**2. Differentiate v(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/612 - (-12)\/(-144)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 + 15*h**3 + 3*h**2 - 15*h = 0 for h.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3.7858\nAnswer: 1.8929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19047\/141727 or 1?\nAnswer: -19047\/141727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 168381 (base 9) to base 10\nAnswer: 104563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -127b13 (base 12) in base 13?\nAnswer: -a84a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(17\/(-4) - -3). Let r = 9 + j. Suppose 2 = -l - 3*t, r*l - 2*t - 2*t - 72 = 0. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4798 + 2 + (-66)\/(-15) + 22\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 0) + -2)*-7. Let y(k) = 9*k**2 - 5*k - 7. Let x = 472 + -477. Let i(w) = 13*w**2 - 7*w - 10. Calculate l*y(t) + x*i(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.73 - -13.53. Which is the nearest to q? (a) 3\/5 (b) -3\/7 (c) -2 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 + 3*d**2 - 8*d + 127. Let i be f(-7). Put -4, 4, i, -5 in ascending order.\nAnswer: -5, -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*3 - (sqrt(24) + 6*sqrt(216)))\/((sqrt(384)*2)\/sqrt(12) + sqrt(32) - sqrt(32)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117845 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30033 (base 5) to base 9.\nAnswer: 2533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -623, -3161, -7603, -13943, -22175, -32293, -44291?\n\"Answer: t**3 - 958*t**2 + 329*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -25.0324735?\nAnswer: 19.0324735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -a. Solve a*j = -2 - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.01. Let y = -0.49 - r. Which is the third biggest value? (a) -0.3 (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6*48.8.\nAnswer: -126.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 465, 439, 393, 321, 217, 75?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2. Let f(r) = 800*r**2 + 35*r. Let s = 159 - 124. Let y(t) = 89*t**2 + 4*t. Let q(n) = s*y(n) - 4*f(n). Calculate q(i(o)).\nAnswer: -85*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 902737 divided by 82067\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 201367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.28 - -0.12. Let w = a - 9.4. Let g = -8.056 - w. Round g to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 - 11*n + 27. Let z be k(-11). Suppose -8*u = z + 2406. Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/13, 1, 48.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6196 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 517911.47 to the nearest 1000.\nAnswer: 518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1925*g + 1927*g - 3010. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-149 - -147) + 10 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 + 17 = -5*o, 2*f - o - 3 = 0. Sort f, 2, -76 in decreasing order.\nAnswer: 2, f, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9059, 2\/13, -592\/5?\nAnswer: -592\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a**(-4)*a**(-2\/7)\/(a\/(a*a**1)))**(-43) assuming a is positive.\nAnswer: a**(-516\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 371 - 371 - 262*a**3 + (-3 + 2*a + 3)*(0*a**2 + a**2 + 0*a**2) to the form h*a**2 + u*a + m + w*a**3 and give w.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -59848.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157993636?\nAnswer: 2, 53, 313, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -17. Solve 0 = -n - 3*n + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 0*c**2 + 30*c - 11*c - 4*c**2 to the form r + m*c**2 + p*c and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - r - 4. Let j(a) = 4*a**2 - a - 2. Determine 4*j(i) - 5*x(i).\nAnswer: i**2 + i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 12. Let o(x) = -x**2 + 64*x + 366. Calculate the remainder when o(69) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - q - 9, 3*y - 32 = 2*q + 2*q. Suppose y*b - 760 = -r + 483, -5*b - 4*r + 1540 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 + (-1 - -53). Let v = -9 + -2. Let w = p + v. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1144?\nAnswer: -1\/1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1\/2, 2\/49, 0.5, 1.5?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 271 = 323. Let m(a) = -116*a + 32*a + x*a + 17*a + 12*a. Let h(t) = -4*t. What is h(m(u))?\nAnswer: 132*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:39 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/95 + 3\/19. Which is the third biggest value? (a) -1 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 2*p**2 + 3*p + 4. Let d be y(-2). Is -4 - ((-27 - -3) + d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2594, 88, 4, -1 in ascending order.\nAnswer: -1, 4, 88, 2594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7*z + 17 = -12*z, 3*x - 2*z = 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3, q + v + 15 = -17. Let s = -30 - q. Let w be (27\/12)\/(s\/(-24)). What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 74. Let c be (3 - (-10)\/(-4))*10. Suppose -4*b + 3*a = 0, 0 = c*b - 3*a - 0 - 3. What is the highest common divisor of f and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*w + 16496 = -13996 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8090 and -9\/1238?\nAnswer: 5007710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5925398 plus 0.3?\nAnswer: -5.2925398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*n = -4*h - 651*n + 19, h - 21 = 4*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/12 - 7*r**3\/6 - 2*r**2 + 34*r. Suppose -1 = 3*j + 4*b, -b = 4*j + 4*b + 1. Let k = -2 - j. What is s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-84)\/18)\/(6\/45). Let y be 96\/(-5) + (-7)\/q. Let j = y + 73. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 - 2*o - 4. Let y be -1 - -5 - 0\/6. Suppose 2*l - 2 = 3*l - b, 0 = -y*b - 4. What is the least common multiple of f(l) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t - 18. Give b(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 139 + 5*s - 136. Let v = 35 - 31. Suppose -4*q = 16 - v. Determine n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 33*w + 35*w - 78*w + 4 + 0. Give r(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123139856 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 2. Let p be k(-4). Suppose -2*s - 12 = -p*a, 0 = a - s - 4*s + 2. Calculate the remainder when 45 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + n, -2*l = -l + 4*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 = -27. Let c(x) = x**2 + 2*x - 7. Let j be c(-5). Suppose 0 = a*y - y - j. Calculate the remainder when 7 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 - 14746*z + 7344720.\nAnswer: 2*(z - 36360)*(z - 505)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -110.5. Which is the third smallest value? (a) x (b) -1 (c) 2\/25 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25838273?\nAnswer: 25838273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 168.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -95*g**3 + 6*g**2 - 2*g - 2. Let n(f) = 94*f**3 - 5*f**2 + 3*f + 2. Let p(x) = 3*d(x) + 4*n(x). Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (27\/36)\/((-18)\/(-94)) and -17\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29445.68g in tonnes?\nAnswer: 0.02944568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10351860 to the nearest integer?\nAnswer: 3217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:24 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.4922 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6016 + 6013.5155. Let m = q + -0.0155. Is -2\/3 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -35. Let l = a - -41. What is the third derivative of 7*i**3 + 0*i**3 - 11*i**l - 25*i**2 wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + (-111)\/9. Let z(g) = -8*g - 7. Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*f - 2*f**2 - 2 + 5 + 25*f**4 - 26*f**4 + f**3 - f**2 in the form l + n*f**4 + b*f**3 + j*f**2 + x*f and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98800 and 76?\nAnswer: 98800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:01 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 683*k**4\/4 + 4*k**3\/3 + 114*k**2. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4607 or -4633?\nAnswer: -4633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3069459*w**2 - 156*w - 414181256 wrt w.\nAnswer: -6138918*w - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 7:03 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -18 - (9 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2707766 to 4 decimal places.\nAnswer: 0.2708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -55537500 (base 8) to base 16\nAnswer: -b6bf40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 75702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*x - 283*x + 330 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let f be x(19). Let q = f + -53. Let y be (1 - (1 + 1))\/(3\/q). Solve 5*h - 1 = -y*a + 3*a, -a + 1 = 3*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 4721364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxpxtxt. Give prob of sequence pt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 - y. Suppose 4*h - 4 = 2*a, 0*h + 2*a = -2*h + 2. Let r be b(h). Let f(v) = -v - v + r*v. Let m(p) = p + 1. Calculate f(n) - m(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -588627*d. Let c(w) = 9*w**2. What is i(c(u))?\nAnswer: -5297643*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 205*h**2 - 2702*h - 373. Determine j(-87).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14030.2 - -6.\nAnswer: 14036.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6130134253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 612.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*s = -95*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -33*r + 43. Let o(i) = 4*i - 7. Let z(w) = 6*o(w) + s(w). Let a = 7 - 8. Give z(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.389 - 0.4. Let n = w + 0.01146. What is n rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.52754ml in litres?\nAnswer: 0.02252754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -8240720736596?\nAnswer: 8240720736601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/225027921 and 43\/2431420?\nAnswer: 4500558420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, k: 3, y: 1, f: 1}. What is prob of sequence kc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16*1106\/28 and (6 + 12\/16)\/(30\/(-28)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 473.2138ml?\nAnswer: 0.4732138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-4*r + 2*r - 2*r) + (4 - 23 - 9)*((0*r - 4*r + 2*r)*(-1 - 3 + 6) - r + 2*r + r - 3*r + 4*r - 3*r) to the form p + i*r and give i.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*3 - sqrt(495) - (sqrt(55) + sqrt(605)\/(sqrt(11)*5)))\/(-4*sqrt(704) + sqrt(1331)*3).\nAnswer: 24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859048 is divided by 603?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j + 7. Let r be s(2). Suppose -r = -3*h + 230. What are the prime factors of h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2003144916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(5\/6)))\/q**(-18) assuming q is positive.\nAnswer: q**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from mxvugmxg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:53 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 6 = 0. Suppose 7*j = 2*j + 10. Suppose -u - o = j*u. Which is smaller: -1\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 - 7859*y**3 + 8*y**2 + 1758*y**3.\nAnswer: -6101*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(180) + sqrt(7) - sqrt(7)) + sqrt(847) + -3 + ((sqrt(14)\/sqrt(2) + sqrt(7))*-3 - sqrt(49)\/sqrt(112))**2.\nAnswer: 67*sqrt(7)\/6 + 4327\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + l + 2. Let v(w) = 3*w**2 - 2*w - 3. Let x = -19904 - -19899. What is x*v(a) - 7*c(a)?\nAnswer: -a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19)\/2)\/((-11)\/22). Suppose k = 7*w - 23. What is the least common multiple of 4 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12736 is divided by 438?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 84*i**2 - 78*i + 22. Let s be t(27). Solve 91*r = s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 434*b + 7867. What is l(-26)?\nAnswer: -1389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((128\/84020)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by (676\/117 + -6)*-5166?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -291349, -582720, -874153, -1165678, -1457325, -1749124, -2041105, -2333298?\n\"Answer: -5*h**3 - h**2 - 291333*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7*(-98)\/(-84)*46\/((-30268)\/21)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1676 - -1009. Let k = d + 606.4. Let p = -29.3 - k. Round p to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x - 15*x + 35*x + 156*x**2 - 140*x**2.\nAnswer: 16*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94367.592ms in days?\nAnswer: 0.0010922175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, 211, 334, 475, 640, 835?\n\"Answer: x**3 + 104*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106524856?\nAnswer: 2, 3, 53, 1656073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1149, -4427, -9851, -17421, -27137, -38999?\nAnswer: -53007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174853\/63580 - 2\/15895. What is the closest to -2\/3 in s, 0, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(20)\/(sqrt(10) + (-1*sqrt(1210) - sqrt(10))) - (0 + sqrt(200))**2*-2))*5.\nAnswer: -5*sqrt(2)\/11 + 2010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = f - 3*f, 0 = -2*f - 4*h + 16. Solve -3*k - f = -t + 5, -1 = 3*t - 2*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - 42*z - 6. Let y(d) = -8*d**2 - 43*d - 10. Let q(t) = -6*s(t) + 5*y(t). What is q(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*y**3\/4 - 30637*y**2\/4 - 54399*y\/2 - 19550 = 0. Calculate y.\nAnswer: -782, -100\/39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1140 divided by 4\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/33 (c) 9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + -1bd1?\nAnswer: -1ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -5*t + 10, 0 = -4*i + 3*t + 230 - 236 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -16 + 43. Calculate the greatest common factor of w and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5774*-0.3.\nAnswer: 1732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1073653026 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/17776 and -97\/211696.\nAnswer: 2328656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - ((-22)\/(-10) - (-33)\/(-165)). Suppose j + 2 + 1 = 0. Put 0, l, j in increasing order.\nAnswer: j, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2057.55*-1\nAnswer: -2057.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 13*u - 123. Determine c(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/33 - -4\/11. Put 13, 1\/3, 0, z in descending order.\nAnswer: 13, 1\/3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/35))**(-8)\/(s**5\/((s**(12\/11)*s)\/s)) assuming s is positive.\nAnswer: s**(-1681\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2)\/(-2)))\/((-29)\/290)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*r + 529, 0 = -r - 3*b - 58 + 231. Calculate the greatest common factor of r and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1348 and 4?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, e: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**3 + 1585*b**2 - 182*b + 917. What is q(176)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 1364794769614.\nAnswer: 1364794769614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*j - 2*j = 7, g = 5*j - 6. Let v = 8\/49 + -10\/147. Let t be 9 + (-21)\/(-3) + -15. What is the third biggest value in t, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/29, 0.5, -28?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y - 5*f, 3*y + 5*f + 8 = 3*f. Let s be y\/9*(-12)\/4. Is 1\/2 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*t - 7*t. Let c be 2436\/14 + 14\/(-2). Suppose c = -p + 5*p + 3*a, -p = -t*a - 59. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/120)\/((-5402)\/(-24309))?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r**(-40)*r)*r*r*r**(4\/11) assuming r is positive.\nAnswer: r**(477\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 28*u**2 - 34*u - 163. Let v be k(-27). Solve 0 = -3*g - 23 + v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1 + 2 + 1). Suppose k = -4*g + v + 41, -4*g = -9*g - 3*v + 30. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77850213*s**3 - 84*s**2 - 259246*s + 3 wrt s?\nAnswer: -467101278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:00 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -105*p - 49. Calculate s(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-986)\/10*315690\/(-357782)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 3*z - s, 179*s = -4*z + 5*z + 184*s + 16 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8568 and 64662696.\nAnswer: 64662696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)*(-1 + -4). Let h(p) = 2*p**3 + 5*p**2 - 6*p - 3. Let y(x) = -x**3 - x**2. Let u(z) = h(z) + y(z). Let o be u(t). Solve -m = -o*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 885\/88 + -3371083\/335720. Calculate the common denominator of c and 1\/385.\nAnswer: 41965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 2*u, 6*y = 4*y + 4*u + 16. Let l be 3 + 4 + 6 + y. Find the third derivative of l*n**2 - 25*n**6 + 13*n**6 + 3 - 3 wrt n.\nAnswer: -1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -22. Let k = v + -9. Let n = -151 - -150. Which is the nearest to 1? (a) 9 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 12, -1951*s + 179 = -1940*s - b for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 8) to base 5\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + x + 3 + x + 4 + 4*x - 4 + (6*x + 3*x - 5*x)*(2 - 4 + 4).\nAnswer: 11*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:57 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914 + (3 - (-10 + (3 - -6))) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddzdjpdzddp. What is prob of sequence pj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 60, 89, 118, 147, 176?\n\"Answer: 29*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -49778823 != -49778822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-36))\/((16\/4)\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 138 = -4*a. Let x = a - 81. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from bzpspppzpspepppevpe?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 65494?\nAnswer: 65495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*4\/(-18)*-3. Suppose -c - 4 = -4*r, 0 = -3*c + 2*r - a + 10. Suppose 0 = -l + 2*t + 11, -4*t - 52 = -c*l - 0*t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(3 + 1 - 6) - 987 - 1110 + 584)*(6*c - 3*c - 5*c + 1).\nAnswer: 3034*c - 1517","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 41. Let g(o) = -2*o**2 - 18. Calculate g(j(f)).\nAnswer: -2*f**4 + 164*f**2 - 3380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x - 198. Suppose 2*p - 4*q - 16 = 0, -4*p - 5*q - 28 = -q. Is p*6\/(-4) - x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -846*v + 22781. Determine l(27).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t**0\/t)\/((t*t*t**(1\/3))\/t**(-3\/10)) assuming t is positive.\nAnswer: t**(71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 671392 and 1008?\nAnswer: 42297696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*(-3 - 405\/(-36)). Suppose 0*m - 6 = -m. Suppose 0 = f*y - 38 - m. What is the third biggest value in y, -12, -1\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z - 5 = 0. Let v(c) be the second derivative of c**4\/12 + c**3 + 7*c**2\/2 + c. Calculate v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5*g**2 + 3*g + 1. What is x(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b667 + 4?\nAnswer: b66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4224 and 113\/1972710?\nAnswer: 1388787840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1655 divided by 14546.\nAnswer: -1655\/14546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*j + 11 = -22, 5*a - 37 = -3*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000100001001111101 - -11?\nAnswer: -1000000100001001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.62 - -5.\nAnswer: 16.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 11*v - 1. Let y be g(-9). Let u = -9 - y. What is the units digit of u\/15 - (-230)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {j: 2, y: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-2)\/(-92))*3. Let y = 67 + r. Let i(u) = -u**3 - 3*u**2 - u. Give i(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4641856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7011 * 322.\nAnswer: -225.7542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/540 + 23*m**4\/54 - 1058*m**3\/27 - 34*m**2 + 23. Suppose o(d) = 0. What is d?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 3. Let z(k) = -6*k**3 - 2*k**2 - k. Let y be z(-1). Let j(i) = -2*i - 5. Let a(n) = y*b(n) + 3*j(n). What is a(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 528\/5 (b) -1\/2 (c) 0.2 (d) -0.2 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -1857, -4192, -7449, -11622, -16705, -22692, -29577?\nAnswer: -37354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1263*m + 363. What are the prime factors of g(-7)?\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 1. Let c(g) = -7*g + 1. Let m(x) = 3*c(x) + 5*z(x). Let i be (240\/1360)\/(9\/255). What is m(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -53. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384782 is divided by 32038.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 4*s - 546. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 736 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 6) + 8 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.32 - 0.32. Let p = -1.799 + -19.189. Let h = s + p. Round h to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llfsfslflfssliflils. Give prob of sequence ssf.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.641107 years to months.\nAnswer: 103.693284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*r - 22 = -3*t, 5*t - 4*r = 35. Let m(d) = d**2 - 2*d - 1. Let q be m(t). Which is bigger: -1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/11))\/(k\/(k*k**(-1\/6))))**(2\/99)*(k\/k**(-2)*k)**(9\/8)*(k*k*k**(-5)*k*k)\/k**1 assuming k is positive.\nAnswer: k**(16493\/6534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(1100) + -1)*-4 + (sqrt(1100) - (sqrt(1100) + 6*(1 + sqrt(1100))))**2).\nAnswer: 3400*sqrt(11) + 198190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133336014 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*s + 10, 3*s + 23 = l - 6*l. Let j(i) be the second derivative of -i**3\/6 + 2*i**2 - i. What are the prime factors of j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, 7, -4, 5, 220978 in increasing order.\nAnswer: -4, -2, 2, 3, 5, 7, 220978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*y**3 - 130*y**2 - 5546*y**3 + 130*y**2.\nAnswer: -6090*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose 102*p = 95*p - 14. Let h(j) = 4*j - 1. Let d(o) = -27*o + 7. Let y(z) = p*d(z) - 14*h(z). Let n(b) = -b. Calculate g*y(f) - 3*n(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let y(w) = -6*w + 21. Let s(o) = -5*a(o) + y(o). Calculate the remainder when 196 is divided by s(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by 4.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 201831 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*p = -4*t + 32, 176 - 514 = -53*t + 4*p for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -2*s + 38, 5*s = 5*b + 75. Suppose 0 = -s*h + 16*h - 20. Sort -3, -13, h.\nAnswer: -13, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 33*v = 205. What is the greatest common factor of v and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/68 + 1467\/340. Find the common denominator of p and 59\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:47 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(7\/4)*t**19 assuming t is positive.\nAnswer: t**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -130, -315, -600, -997, -1518, -2175?\n\"Answer: -2*v**3 - 32*v**2 + 13*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let g be v\/((-3)\/3) - -2. Let h(n) = 0*n**g - 35 + 35 - 7*n**2. Let a(l) = -2*l**2. What is h(a(j))?\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 25, 75, 161, 295, 489, 755?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 3\/20*n**5 + 0*n**2 + 0*n**3 + 0 + 1\/4*n**4 - 3*n. Find the third derivative of l(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28509?\nAnswer: 3, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75280176 and 2166336.\nAnswer: 301120704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + 1275\/(-10). Let x = z - -72. Let t = 673\/12 + x. Sort 3\/4, t, 3 in decreasing order.\nAnswer: 3, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15626.\nAnswer: 2, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870 and 24?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 1. Let v be f(4). Suppose 300*r - 4744 + 544 = 0. Calculate the greatest common factor of v and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/(-36) - (2*7\/(-84))\/(22\/99).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3307 + 3317 = 5*f, 3*l - 15 = -21*f for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266\/13 + -4866\/65. Let z = -268\/5 - v. Factor 6\/5*j - z*j**2 + 4\/5.\nAnswer: -2*(j - 2)*(2*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5 - (10 - 11)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -386867*i**4 + 4*i**3 + 809560*i**2.\nAnswer: -9284808*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*-6)\/(-4*(sqrt(8) - (sqrt(8) + sqrt(128)))).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d7 + 5?\nAnswer: -3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j. Let t = 658 - 656. Suppose -3 = v - c, -3*v + 28 = v + 4*c. Let p(i) = 0*i - t*i**v + i - i. Calculate p(u(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489*d**2*m**2 + 2*d**2*m - 253*d**2 - 811050*d*m + 13*m**2 wrt d.\nAnswer: -978*m**2 + 4*m - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.5, -1\/6, -0.06, -5\/9 in descending order.\nAnswer: 14, -0.06, -1\/6, -0.5, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46 - 50*a**5 + 5*a**2 - 46 - 4*a**2 wrt a?\nAnswer: -3000*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1048)\/(-152) - (-20)\/190?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (32 + -56 + (6 - -1) + 3 - 11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 0*u**5 - 2*u**5 + (-2*u - 3 + 2*u + 2*u)*(-u**2 - 2*u**4 + u**2).\nAnswer: -5*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.5, 2\/9, 12\/103?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/30*4 - (-286454)\/555.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1829119*z - 1943427*z + 7523094*z.\nAnswer: 7408786*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*q + 201*q + 3*u = 386*q - 15, -5*q = -u + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988480 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87, 78, 69, 60, 51?\n\"Answer: -9*n + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -24579.\nAnswer: -24578.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*q = 9, y + 8 = 3*y + 2*q. Solve 0 = -4*n + 3*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 0*f + 1\/3*f**2 + 12 + 0*f**3 - 1\/6*f**4. Factor c(v).\nAnswer: -2*v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60539.43 kilometers to meters.\nAnswer: 60539430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + u**3 - 4*u**3)*(1 - 2*u**2 - 1) + 0*u**5 - 2*u**5 + u**5 + (2*u**2 - 2*u**2 + u**5)*(5 - 1 - 2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o + 12. Let n(p) = -2*p**2 - 10*p - 5. Let c(r) = -2*r**2 - 11*r - 6. Let s(d) = o*n(d) + 5*c(d). Find the second derivative of s(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 2?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7507, -27259, -59233, -103423, -159823, -228427?\nAnswer: -309229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -1\/11, 4, -748.\nAnswer: -748, -63, -1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1599 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**5\/30 - 15*w**2 + 20. Let x(a) be the second derivative of h(a). Let g(k) = -82*k**2. Determine x(g(o)).\nAnswer: 13448*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04854856556 rounded to 4 dps?\nAnswer: -0.0485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 58. Let z be 4\/14 - (-23)\/(-7). Let n = -4240\/13 + 326. Which is the nearest to m? (a) n (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(91)*5)\/sqrt(7).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -52770000 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 81 + 175 = 0. Solve -5*r + 7 = b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33215573.\nAnswer: 33215573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w + 176379 - 176379.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.151845 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:29 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7735\/8 + 969. What is the common denominator of 117\/10 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1008, -733, -444, -135, 200, 567, 972, 1421?\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 7 (b) 1\/4 (c) 2322 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 - 0.2. Let h = z + 2. Let v = h - -9. Is v not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.257 + -3.743. Sort -1, -0.2, y in descending order.\nAnswer: -0.2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-186))\/(1\/9*(-675)\/(-50))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4907 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30870000 rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {c: 4, a: 5, d: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-78) + -1 - 2\/156*462?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 22*r - 4. Let h be -6 + (6 - (r - 2)). What is the tens digit of -65*(48\/20)\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 15. Let d be f(-8). Let n = d + -5. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/105 and 32\/55.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -430213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3009 and 47\/2250?\nAnswer: 2256750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -17, 4, 34\/11?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 150?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/30 + d**2 - 2*d. Let w(a) be the first derivative of p(a). Let v(s) = -4*s**2 + 2 - 2 + 0. What is v(w(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 3*q - 3. Let o be s(-1). Suppose 182 = o*x - 8. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 2*t + 1. Let h be b(3). Let g = -7 - -9. Let z(o) = 6*o**3 + 21*o**2 - 11*o + 1. Let i(u) = u**3 + 4*u**2 - 2*u. Give g*z(y) + h*i(y).\nAnswer: y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (55 - 52) + (0 + 0 - -1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/81*-3*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320474 to the power of 1\/2, to the nearest integer?\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 80 + -5?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201101031202 + 11?\nAnswer: -201101031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 24 = -4*y + 3*t, 4*y + 5*t = -3. Put 1, -82, y in increasing order.\nAnswer: -82, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -984, -1838, -2692, -3546, -4400, -5254?\nAnswer: -6108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/32 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2491 - 2477. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q = 78 - 37 + 67 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 347890 and 3980.\nAnswer: 138460220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2664 and 628?\nAnswer: 418248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, l: 4, m: 2, q: 5}. What is prob of sequence lly?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -7, -1, -14\/23 in increasing order.\nAnswer: -7, -1, -14\/23, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 + 305*i + 914. What is the least common multiple of x(-3) and 2632?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - t - 4*t + 17 = 0, -4*t + 25 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39628150 divided by -2.\nAnswer: -19814075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/2 smaller than 31\/1884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2986875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23803 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 4:23 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 + g**3\/6 - g**2 + 2*g. Suppose 8 + 6 = 2*c. Let f(n) = n - 4*n + 5*n**2 - c*n**2 + n + 5. Give -3*f(j) - 7*l(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24776 (base 9) in base 14?\nAnswer: -6110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - m = -34, -2*x - 33315 + 33379 = 3*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -60*i**2 + 467*i - 6. Let q be p(8). Which is smaller: -116 or q?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - c + 3*c. Let n(z) be the first derivative of z**2\/2 + 4*z + 15. Let i be n(c). Let q(w) = w**3 - 5*w**2 + w - 1. Calculate q(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -9*j**5\/10 + j**3\/6 - 25*j**2\/2 - 66*j. Find the second derivative of k(o) wrt o.\nAnswer: -108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 27*a**2 + 97*a - 283. Calculate g(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 17. Let r(w) = -w - 6. Let s = 52 - -2. Let n = s - 65. Give n*r(j) - 4*f(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 122*y**2 + 352*y + 600. Calculate u(119).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 123 = 73 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3470, -4353, -5236, -6119, -7002, -7885?\n\"Answer: -883*s - 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/21*33\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53847 (base 10) to base 4.\nAnswer: 31021113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -3 (c) 2\/5 (d) 405 (e) -339 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.00436.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 + -1?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37671 - 19871. What is c rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**4 - 441*t - 198*t + 13*t**3 + 243*t**3 - 475*t**3 wrt t?\nAnswer: -60*t**2 - 1314*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmnm when four letters picked without replacement from nammmmmmmmmamnmnnmn?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*x - 78, 4*w + 4*x = 2*x + 62. What is the tens digit of (-670)\/(-4)*(-6)\/w*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 8\/(-24))*(-606)\/4. Suppose 5*g - l = -4*n, 2*g - 72 = -3*n + 2. What is the highest common factor of n and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + y + 6 = 6*a, -4*y = -2*a - 12. Let n(z) be the first derivative of a*z + z**3 + z**2 - 2*z + 2 + z**2. What is the second derivative of n(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 12) to base 14\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 233.5 and -2.11.\nAnswer: 231.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 + 8)) + -8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 822589 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*v**4 + 16836*v**2*x - 3*v*x - 8*v + 3771*x wrt v?\nAnswer: -120*v**2 + 33672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69\/7*r - 3*r**2 - 48\/7 = 0.\nAnswer: -16\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3*1)\/((-24)\/552) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4 - 3 + 20*l**2 - 1. Let y(j) = -2*j**2. Determine y(x(p)).\nAnswer: -800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -30. Let j = 3 + -7. Which is the nearest to -1\/7? (a) w (b) 3\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*c - 0*c + 236, -120 = -b - 3*c. Suppose b = 7*k + 87. Solve 0 = -7*q + 4*q + k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12090822*z**4 - 96*z - 18640?\nAnswer: 145089864*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 32. Give m(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -11\/2 (b) 0.3 (c) 28 (d) 12 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + 86 + 5 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175745*x**3 - 90948*x**3 + 62438*x**3.\nAnswer: -204255*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5037.9 + 5038. What is the third biggest value in 46, 0.02, o, -0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2173*b**2. Let s(m) = -30*m**2. Determine h(s(r)).\nAnswer: 1955700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 4. Suppose -h*u + u + 8 = 0. Let r be u\/10 - 6\/3. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 12, -135, 5, -7.\nAnswer: -135, -7, -5, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -15*y + 5. Let q(g) = -g**2 - 61*g + 21. What is 2*q(w) - 9*s(w)?\nAnswer: -2*w**2 + 13*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 81 + 201 = 5*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 36*l + 433. Give h(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 + 230. Suppose 0 = 4*y - v*i - 304, 2 = -2*y + 4*i + 158. What is the lowest common multiple of 6 and y?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by -2?\nAnswer: -417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45)\/((-3)\/9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603 divided by 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1707 - -46.1\nAnswer: -1660.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 4*y + 2. Let w be u(-2). Let s be (-74)\/w - 7\/63. Is 17850\/40 + (-1)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 3*b + 1, -5*b = 4*d - 31. Suppose 2*u + 6 = 4*u. Solve 22 = u*t + t - 3*y, -6 = -d*t - 5*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869, -868, -867, -866, -865, -864?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236.26 + 236.660088. Let m = -0.4 + v. What is m rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4046?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 689162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 2. Let v = 0 + 0. Let y(d) = -d**3 + 18*d**2 - 65*d + 4. Let q be y(13). Which is the nearest to w? (a) q (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - ccb3?\nAnswer: -ccb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyt when three letters picked without replacement from {t: 3, y: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3775343 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 47*o**2 - 47*o - 64. Suppose 191 = 19*v - 721. Let u be i(v). Let p(c) = -c**3 - 17*c**2 - 17*c - 20. What is p(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/9)\/((-10)\/(-725)) and -3\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhrhrrhh. Give prob of picking 1 h and 1 r.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13893931*h**2 + 35439106?\nAnswer: -27787862*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33471*h**2\/5 + 227604*h - 204\/5.\nAnswer: -3*(h - 34)*(11157*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let f be (z + 9\/(-3))*-5. Let a(w) = 8*w**2 + 2*w + 4. Is a(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Suppose 3*q - 429 + 9 = 2*s, h*q - s = 417. Suppose t - 2*t = 5*w - 206, -3*w + 3*t + q = 0. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + 4*n - 10 + 12 - 2*n**3 - 2*n in the form q*n**4 + r + j*n + f*n**3 + s*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k**(6\/11))\/(k**(3\/7)\/k*k*k**(-8))*(((k\/k**(-8))\/k)\/(k**(-8)\/k))\/(k**(-1))**22 assuming k is positive.\nAnswer: k**(3852\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 2*d**2 - 23*d - 163. Calculate i(-5).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0 + (-5 + 3 + 0)*(4 - 5 + 2) + (-3 - 1 + 5)*(-2 - 1 - 2))*(-224*b - 733 + 90*b + 133*b) to the form d*b + h and give h.\nAnswer: 6597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((5 + sqrt(208) + -1)*-2 + -3)*4 + -5)*4)**2.\nAnswer: 200704*sqrt(13) + 1005632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**2 - 4*b - 5. Let h(k) = -k + 4*k**2 + 2*k + 2 + k. Let y(a) = -5*h(a) - 2*o(a). Find the second derivative of y(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 529 - -117b?\nAnswer: 16a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (855\/(-5985))\/(5\/805).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -137 - 400*f**3 + 744*f**3 + 65*f - 389*f**3. Find the first derivative of l(m) wrt m.\nAnswer: -270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/405*6\/(-4)*80\/(-40)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 + -2342?\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1489 - 1?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 459203860*m\/11 - 26358523129862450\/11.\nAnswer: -2*(m - 114800965)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/162*-3*(-1629)\/362?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 4*r**2 - 6*r**2 + 24 - 14*r**2 + 48*r**3 + 37*r**2 - 14*r**2 to the form n*r**3 + f*r**2 + x + c*r and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80263490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (30 - (64 + -38)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssmssssmssssssmssm. What is prob of sequence smm?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14308 or 14266?\nAnswer: 14266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44947 or 45168?\nAnswer: 45168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*g = -549*g + 3520958. Is 10703 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 104*k**2 - 1331*k + 57. Calculate v(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2) + -2 + 4. Let a be -3 + t - -5 - 2. What are the prime factors of (8 - -1 - -1)\/a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011 - 111101000?\nAnswer: -10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 25, 54, 125, 256, 465, 770?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4140*s - 157. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 6 = 0. Let l = 10 - 10.15. Let w = 0.05 - l. Which is the third smallest value? (a) g (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4 - x**2 - x - 20 + x**3 + 0*x**3 - 15. Let s be d(0). Let t = -25 + -15. Is s bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5916 divided by -4385\nAnswer: 5916\/4385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 21818 = 2*w, -4*w + 40383 = f - 3247. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1555, -4, -2, -17 in decreasing order.\nAnswer: 1555, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, -3, -1947714 in descending order.\nAnswer: 9\/4, -3, -1947714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*x**3 + 7*x + 2*x**2 + 12*x**3 - 6*x to the form d*x + h*x**2 + l + k*x**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 17*z**2 - 17*z + 13. Let i be g(16). Let r = 163 + -333\/2. Do i and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 21 + 15 = -4*v, 3*v + 13 = -5*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16356, 16360, 16366, 16374, 16384?\n\"Answer: m**2 + m + 16354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62154 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3180398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 31*r - 592. Is 11 a factor of p(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/48 - 5\/(-60)*-15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.62499 millilitres to litres.\nAnswer: 0.04962499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddrnd. Give prob of sequence drr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21249 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -29*u**3 - 2*u + 1. What is x(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288384 + -291685.18. Let h = f - -3266. Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-12)\/(-10))\/(114\/1425*-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 43*l + 324. Let i be d(-8). Let b be 6\/i*212\/(-159). Suppose 6\/5*s - 4\/5 + 2\/5*s**2 + b*s**4 - 6\/5*s**3 = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - ((-6)\/(-2) + -459). Suppose -4*k + 301 = -2*k + h, 3*k - d = -2*h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24433 (base 5) to base 3.\nAnswer: 2120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/45065273 - -233810926845\/180261092. Let u = -1297 + c. Calculate the common denominator of u and 97\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82995, 331935, 746865, 1327779, 2074671?\nAnswer: 2987535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -3. Suppose -12 + t = 3*i. Solve i + 4 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83646148*u**2*z**2 + 22089*u**2*z - 1603*u**2 wrt z.\nAnswer: 167292296*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74164 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 256816.\nAnswer: -1\/36688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-3) + 2 + 74. What is the highest common factor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -2*y - 2*y, 3*x - 2*y = 9. Let w be 1 - x - (-8)\/40. Which is the nearest to 1\/4? (a) 0.1 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-340956)*54)\/((-4)\/14)\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/3 (b) -8606 (c) -1\/8 (d) -1 (e) 38.2 (f) 2\/7 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -7*o + 73. Solve -3*v = -4*c + 9, 0 = c - 5*v + v - o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (394\/3 + -2)\/25*43\/13244 and 32\/33.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92564.\nAnswer: 2, 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*j + 2*v, -j - 2*v = -4*v - 2. Let f be 5\/15*(j + 1). Is f less than or equal to 0.012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 50 + 50 - 3*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.23388 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*3 - 10279588\/155342.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4 + sqrt(1100))*-2 - -3*sqrt(1100)*4) + 3.\nAnswer: -3 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 1581*h + 44140. Determine f(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83566*s**3 + 5 - 20 + 15.\nAnswer: -83566*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 3825*h + 74480 = 0. What is h?\nAnswer: -19, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15.072. Round y to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjjjjkkjjk?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b172 (base 12) in base 16?\nAnswer: 4b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 2, t: 2, a: 1, s: 1, f: 6}. What is prob of sequence fs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 3 - x**2 + 5 + 8.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*o = 24 + 11, k - 4*o + 72 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2)))**(-4\/27)\/(w*(w\/(w\/(w**1\/w)))\/w)**(11\/6))\/((w*w\/(w\/(w*w**0*w)))**(-7)*(w\/(w*w*w**(2\/9)))**(25\/4)) assuming w is positive.\nAnswer: w**(3125\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47652 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-12 + 12 - 5*m**3).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10459303, -10459300, -10459297, -10459294?\n\"Answer: 3*v - 10459306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*v + 184878, -d + 7*v + 5*v = -61746. What is the ten thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59735*m**5*x**2 + m**2*x**2 - 1365*m**2 wrt m?\nAnswer: -3584100*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(16\/(256\/(-24))) - (-7 - -1). Solve -4*f = -q*c - 16, 17 = 5*f - 22*c + 21*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwcwwwnnccc. Give prob of sequence wn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let j = -1.7 - -2.8. Let f = 3.1 - j. Which is the closest to h? (a) f (b) 1\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + 25. Let v be (-3476)\/(-20) + (-1 - (-30)\/25). Let h = v + -163. What is the remainder when a is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-30))\/((-1)\/((-282)\/4)). Let o(u) = y*u + 10 - u**2 + 49*u - 106*u. Let r be o(-10). Calculate the greatest common factor of r and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 4*d**2 - 2. Let s(o) be the third derivative of o**6\/40 - o**5\/12 + o**3\/2 + 3*o**2. Suppose -y + 6 = 2. Give y*s(k) + 5*w(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u - 22*u + 35*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + v + 1. Let k(b) = 10*b**2 - b - 11. Let c(g) = 4*a(g) + k(g). What is the remainder when c(3) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 9*o - 35. Solve -o*t + 11*t + 30 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -220?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -9*l**5 + 3234*l**4 - 55650*l**3 - 217800*l**2 + 2748459*l + 2907366 = 0.\nAnswer: -7, -1, 7, 58\/3, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 38, 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253 less than 0.5?\nAnswer: 1253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -8*o + 133 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = w + 4, -4*w + 19 = -10*w - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258\/49 + 18493\/294. Suppose 4*y = 9*y - 230. Let s = y - o. Calculate the common denominator of s and -95\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*v - 294*v - 112 = 0. Calculate the smallest common multiple of 2 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 - 33*g + 116 = 0. What is g?\nAnswer: 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -510 + 525. Solve -50*o + a = -55*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/132*-8 + 610\/11. Calculate the greatest common divisor of l and 420.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4265 and -0.07.\nAnswer: 4264.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - q = -v + 9, -5*v + 10 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0*g**2 - 2*g**2 + 4*g**2. Let m = -80 + 45. Let v(a) = 4*a - 3. Let z(s) = 49*s - 35. Let r(t) = m*v(t) + 3*z(t). What is r(j(f))?\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 8*z**2 + 144 - 30 - 28 - 35.\nAnswer: 8*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -53627742 divided by 23583?\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 27*y**2 + 28*y + 45. Give i(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*z**4 + 189577*z - 20410246.\nAnswer: 36*z**3 + 189577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-70) - 2\/5. Suppose 5*r + 4*d + 28 - 45 = 0, 0 = -2*r - d + 8. Let k = -164 + 1150\/7. Which is the closest to g? (a) -1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -22*k**3 - 6*k**2 + 6*k - 16. Let s(y) = -440*y**3 - 121*y**2 + 121*y - 319. Let l(j) = 121*q(j) - 6*s(j). What is the derivative of l(f) wrt f?\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcsm when four letters picked without replacement from {m: 1, s: 3, e: 4, c: 4, b: 1, j: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 229\/7980 and 47\/54.\nAnswer: 71820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 4*i - i in the form n + w*i and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - -31 - (-2 - 3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*f**3 - 2*f + 7*f - 5*f.\nAnswer: 201*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(756)*-1)\/(-3*(sqrt(144)\/sqrt(3) + sqrt(48))))**2.\nAnswer: -25\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-18) - 19\/(-3)) + -4. Suppose w = -4*v + 12, -5*v + 2*w + i*w + 15 = 0. Suppose -v*g = -g - 2506. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156494907 to the power of 1\/2, to the nearest integer?\nAnswer: 12510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690.769ug in milligrams?\nAnswer: 4.690769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -42*v**4 - 30*v**2 - 17*v. Let b(g) = 14*g**4 + 10*g**2 + 6*g. Let t(f) = -17*b(f) - 6*r(f). Find the third derivative of t(j) wrt j.\nAnswer: 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -15. Let y(z) = -z - 2. Let l be y(t). Suppose j + 47 = l*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 260616\/((-56)\/(-7)) + -5 + 13 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -206677?\nAnswer: -124006.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97921, 195827, 293733, 391639?\n\"Answer: 97906*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a century in years?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -186.61642286233.\nAnswer: -176.61642286233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -11*a**7\/21 + 8*a**3\/3 + 5*a. Find the second derivative of h(v) wrt v.\nAnswer: -440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from mtrptjbbm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2737.419m to kilometers.\nAnswer: 2.737419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 115. Suppose 72 = 4*d + 2*l, -d = d - x*l - 36. Calculate the least common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/8 - 11*g**5\/60 - g**4\/24 + 5*g**3\/3 - 1852*g**2. Let d(p) = 3*p**3 - 2*p**2 + 2. Determine 11*d(n) - 2*i(n).\nAnswer: 3*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least as big as 1586\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-14)*y\/y**18)**(-13))**36)**(6\/19) assuming y is positive.\nAnswer: y**(87048\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/23425064 and 59\/208?\nAnswer: 46850128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4157 - 772 = -284*w - 5987 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 12*f**2 - 21*f + 1. Let b be c(10). Let v be (-18)\/4*(-31 - b). Let k = v + -87. Calculate the highest common divisor of 30 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/51*(-5 - (-68)\/8)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 j, and 1 i when four letters picked without replacement from mjskkiajsjkjjij?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-2\/7)*o*o))*o*o)\/o**(-2\/11)*(o**(-1\/2)*o)**(-12) assuming o is positive.\nAnswer: o**(-162\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*t - 33 = -2*l - 120*t, -4*l + 5*t = 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516669601?\nAnswer: 7, 73809943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -16.9. Which is the nearest to u? (a) -1\/8 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494854?\nAnswer: 2, 181, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -560*r - 2796. Calculate t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 298*d.\nAnswer: -298*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 57 (b) -1\/4 (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16.8 (b) 1\/3 (c) 1.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 10:46 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 313.6.\nAnswer: -627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-6)\/9 - 180\/(-12). Differentiate 45 + n - 40*w**2 + 9*w**2 wrt w.\nAnswer: -62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(324))*1)\/(sqrt(12) - (sqrt(108) + sqrt(108)*3)).\nAnswer: -4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesnsefneeses. What is prob of picking 1 f, 1 n, and 1 s?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2854\/1247 + -124\/43. Let a = -571\/116 - n. Factor 1\/4*o - a*o**2 - 1\/4*o**3 + 0 + 1\/4*o**4.\nAnswer: o*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 451414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/78 + -3\/13. Suppose 4*d = 5*w - 26, 2*w + 0*d = d + 8. Suppose -5 = 3*l + w*l. Which is the closest to l? (a) h (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152297 is divided by 35821?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 36 - 9*x - 24 + x. Let l(o) = 1. Let b(a) = i(a) - 6*l(a). What is the first derivative of b(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 766*t - 775*t - 1197000. What is t rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1447*c + 6. Let a(j) = -4363*j + 17. What is 4*a(g) - 11*q(g)?\nAnswer: -1535*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Suppose s*m - 10 = 5*r, r + 0*r - 2*m + 7 = 0. Suppose x = r*x - 24. Calculate the remainder when 35 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**2 + 7 - 1 - 2 - 3*d + 3. Let j = 13 - 16. Let n(m) = -15*m**2 + 4*m - 6. Let c(y) = j*n(y) - 4*q(y). Differentiate c(v) with respect to v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 4. Let t be b(-3). Suppose -l + 42 = s - t*l, 2*s = -l + 96. Let i = -28 + s. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26608 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 871*r**2 - 6 + 3*r - r**3 - 869*r**2 + 12 - 2 + 6*r**4 to u*r + c*r**2 + g + o*r**4 + n*r**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -331050 divided by -66210\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(50))\/sqrt(3) + (sqrt(132)\/sqrt(3))**2*-2.\nAnswer: -88 + sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/6 + 1\/(-2). Suppose u = -2*b - 13. Let d be (-41406)\/(-3) + (b - -8). What is d rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/5 at least as big as -870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 5 + 24\/(-6). Suppose 0 = a - 6*a. Suppose -2*u + 6*u - 8 = 0. Sort u, f, a in decreasing order.\nAnswer: u, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/55 - (-884)\/22. Let q = 66 - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -5 + 18 + (-18 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u**4 + 199464*u**3 + 898461*u**2 + 411828*u + 49920 = 0. Calculate u.\nAnswer: -4, -1\/4, 4160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + -3 + sqrt(1900))**2 - (-5*3*sqrt(1900))**2).\nAnswer: 400*sqrt(19) + 2127920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = j + a, 0*j - 5*a - 159 = -3*j. Suppose -135 + 90 = -3*v. Calculate the remainder when j is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112121212100 - 12?\nAnswer: 10112121212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 11*n + 12. Let c be b(11). Suppose 0*g - 3*g = c. Let k = 363 - 5447\/15. What is the second biggest value in 1\/2, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -893.\nAnswer: -89.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/99 - ((-464484)\/(-33))\/(-4). Let n = -2368 + y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16*o**2 - 1138*o + 174. What is p(71)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.154218964 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h - 47. Let v be k(-7). Let n(p) = p**3 - 1 + 2*p + 3*p**2 - 2*p. Let f be n(-3). Sort v, 3, f in descending order.\nAnswer: 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 8*p - 8. What is the units digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*k + 113*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -154. Calculate the common denominator of (-73)\/(-36) - (-14)\/56 and (3\/(-12))\/((-2)\/h).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 3*f - 4*f**2 + 15*f**2.\nAnswer: 11*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 179*s**2 + 7*s + 4. What is the units digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -940.79 + -634036465.\nAnswer: -634037405.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:12 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 9 - 6 = 0, -4*p - 4*v + 1068 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.288 times -0.04?\nAnswer: 0.17152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 + 966\/7. What is the greatest common divisor of l and 1316?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:12 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/35253 and -167\/30?\nAnswer: 352530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 530253137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 157633 (base 8) in base 4?\nAnswer: 31332123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8326157 and 43255401?\nAnswer: 1773471441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, -1\/3, 2\/5, -0.7, -1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 1. Let c be y(-1). Suppose 0 = -2*b + 3*b. Suppose 3*g + 2*g = -o + 21, 2*o - 2*g - 6 = b. Are c and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/20 and -73\/5128.\nAnswer: 25640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.4 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -120, -118, -118, -120, -124, -130?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-156)*(-80)\/1330*-7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7 + 1. Let j be 9\/(-10) - (-1)\/i. Let f be (-20)\/(-6)*7\/(-14). Which is the smallest value? (a) j (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/16 + 11\/16. What is the closest to s in 0.4, -3, -21\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97140977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 78*p**5\/5 + 97*p + 82. Find the first derivative of l(u) wrt u.\nAnswer: 312*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.20085091 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45194 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 4, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*t - 136*t**3 - 3*t**3 + 1541*t - 780*t.\nAnswer: -139*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tattjtojjtjj. Give prob of picking 1 a and 3 t.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10281, 81322, 273877, 648696, 1266529, 2188126, 3474237, 5185612?\nAnswer: 7383001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 35*g. Let k(f) = 2*f. Give k(t(p)).\nAnswer: -4*p**2 - 70*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11606921, 23213842, 34820763, 46427684, 58034605?\nAnswer: 69641526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -381 at least as big as -324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-160)\/720 - 492189\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -404?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76209.228ns in hours?\nAnswer: 0.00000002116923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (16 - (-5 - -24)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21842719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97104.69 litres?\nAnswer: 97104690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (530\/(-30))\/((-6)\/(-4)). Let a = 58\/9 + j. Calculate the common denominator of a and -117\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(72)\/sqrt(3))*5)\/((sqrt(12) + sqrt(108))*-1) + 5.\nAnswer: -5*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1518 and 11093148.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4 - 77*b**3*n**2 + 79*b + 190902*n**2 with respect to b.\nAnswer: 8*b**3 - 231*b**2*n**2 + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1440 and 4000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3428 - 4826 = -178*h + 3293 + 1539 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -38211, 4, 53, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/299)\/(1 + 1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 8*f - 47. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + b?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -121, -157, -159, -115, -13?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1012664*q + 1012645*q.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84623 * 1.55.\nAnswer: 131165.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 841815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(3*m + m - 2*m) - 1 + 1 + 2*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8467214 + -3?\nAnswer: -8467217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 25*c + 24. Determine v(-27).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i + 8. Let j(l) = -l**3 - 8*l**2 + 3*l + 6. Let d be j(i). Let n be 6\/d + 32\/6. Solve n*w = 2*c - 26, -5*c + 19 = -4*w - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let c be (-8 - -7)\/((-4)\/8). Let y(n) = -18*n**2 - 8*n**2 + 0*n**c. What is y(i(p))?\nAnswer: -104*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 423138.\nAnswer: 423137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1772*g + 85. Let i(n) = n**3 + 13*n**2 + 42*n + 9. Let h be i(-7). Is m(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/189369 and 28\/694353.\nAnswer: 2083059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 6*d - 5*d)*(-2*d**3 + 3*d**3 + 0*d**3).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3 = -7*n + 2*n, 0 = -4*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21912, 87653, 197218, 350607, 547820, 788857?\nAnswer: 1073718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110110031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326 (base 7) to base 13.\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + s - 2860 + 2850, 4*d + 2*s = 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621387.\nAnswer: 2621387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/47210541 and -5\/4496242.\nAnswer: 94421082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123 + -15?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209))\/sqrt(11) + 2*sqrt(76).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -356\/77 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/12)\/(1*3\/(-18)). Solve -36 = x*q + 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 2*z + 6, 3*b - 4*b = 5*z - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t. Let c(z) = 2966*z**2. What is r(c(h))?\nAnswer: 20762*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.541 - 0.141. What is the nearest to 0 in -5, u, -8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53545 divided by -1\nAnswer: -53545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/5260 and 63\/34190.\nAnswer: 68380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a + 35*a = -9324. Calculate the greatest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wvookwvwkwyoou.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*z - 37*z - 120. Let y(a) = a**3 + 7*a**2 + 5*a + 2. Let n be y(-6). Is n less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0)\/(4\/16). What is the remainder when (-1)\/((m\/(-148))\/(-2)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*d - 195. Let t = d + 53. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 587440665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 868572295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 2*c + c. Calculate the greatest common divisor of c and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -72, -3, 1, 3\/4 in ascending order.\nAnswer: -72, -3, -2\/17, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3\/7 - 160422*v**2 - 30878264*v\/7 - 15158394\/7 = 0.\nAnswer: -280711, -27, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -606555 (base 7) to base 14.\nAnswer: -29865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xyxxyxxxxxyxyx.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a - 4. Suppose 818 = a*p + 3*k - 492, k = -2*p + 523. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnppnpnpnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1c23 (base 15) to base 2\nAnswer: -1011111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + i**3 + 5*i**3 - 5*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14712 (b) 2 (c) -2 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2843, -11090, -24837, -44084, -68831, -99078, -134825?\n\"Answer: -2750*r**2 + 3*r - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 1. Let d(l) = -11*l**2 - 7*l - 4. Let q(c) = d(c) + 3*n(c). Let b(z) = -z**2 - z - 1. What is -6*b(p) + q(p)?\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 21. Let m = -19 - v. Let s = 4 + m. Are s and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 14*w**2 - 19*w**2 - 2 + 2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2416*i**4 - 3*i + 3028 - 5193 + 2940 wrt i?\nAnswer: 28992*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/4)*u*u*u*u\/(u*u**(-6)*u)*u*u**(-4)*u*u**(1\/2))\/((u**(1\/2)\/u)**(5\/2)\/(u*u**(-1)*(u*u\/u**(2\/13))\/u)) assuming u is positive.\nAnswer: u**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 11. Let f(s) = -6*s - 12. Let c(m) = -4*f(m) - 5*l(m). What is the least common multiple of 12 and c(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/4 + 1889*w**2\/4 - 5636*w + 9385 = 0.\nAnswer: 2, 10, 1877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5\/2. Let o = -816615 - -816612. Which is the closest to 1? (a) x (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from xxfyyxyxixyu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 292523, -1, 5, -3, 12 in decreasing order.\nAnswer: 292523, 12, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*x + 23. Solve -3*d - 19 = -w, -6 = 4*d + 3*w + x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 256, 237?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/1386*(-21)\/(-18)*(-9)\/2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8932 + 2*i**3 - 8932.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + 15. Let d be q(0). Solve 3*r = -2*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279*v**6 - 226*v**2 wrt v.\nAnswer: -33480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359156 and 5080.\nAnswer: 3591560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.04, -8\/15, 2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4783595 and 35?\nAnswer: 167425825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:54 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-48)\/(-140))\/3)\/((-20)\/(-70)). What is the nearest to -2\/17 in 85, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.73 - -8.73. What is the second smallest value in k, 0.2, -11, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4446 divided by 6.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05629 and 6995466.\nAnswer: 6995466.05629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*x + 0 = 1, -3*q = -3*x - 3. Solve -m + 2*m = -5*t - q, 5*m = 5*t + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17850 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + -26?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2\/3, -0.2, 57?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*d - 109. Is d\/(-85) - (-766)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w. Suppose 6*r - r = w. Let i(x) = -x + 6. Give i(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:35 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 + 24734*y**2\/11 + 76483710*y\/11 + 76458978\/11.\nAnswer: 2*(y + 1)*(y + 6183)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 11*m + 39. Let x(p) = p**2 - 6*p - 19. Let y(h) = -3*t(h) - 5*x(h). What is the remainder when y(12) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.229 + 18.729. Let a = -1.01 + 1. Put a, 0.3, f in decreasing order.\nAnswer: f, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1367 - 0.31?\nAnswer: -17.4467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222835.\nAnswer: 5, 244567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23111\/6 - 3842. Calculate the common denominator of x and (4\/(-112))\/(3*(-3)\/(-234)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/n**5)))\/(n*n**(-2)))\/(n*n**(1\/3)*n)**(-44))**39 assuming n is positive.\nAnswer: n**3887","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/42)\/(31 - -10). Let l = 16931\/1148 - u. Find the common denominator of l and 95\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.411383 to two dps.\nAnswer: 9.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -8. Are -0.1 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*x + 4*x**2 - 6*x - 5*x - 12*x to s + d*x + h*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 527204 and 28?\nAnswer: 3690428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - ((-4 - -21) + -21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-13) - (-2624)\/3731)*24\/(384\/(-56)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1974*k**3 - 3942*k**3 + 1966*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226 - -266. Let b(k) = -39*k - 4. Let z be b(-6). Let p be 4\/10 + z\/50. Calculate the greatest common divisor of p and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5552 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*p - 4*p. Let q = 35 - 173\/5. Which is the closest to 0.8? (a) p (b) q (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 8, 5*y - s = -5*s - 343. Let g = -35 - y. Calculate the highest common divisor of g and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: db (base 14) to base 15\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 8*g**7 - 497*g**3\/3 - 336. Find the third derivative of c(f) wrt f.\nAnswer: 6720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 80 = 18*a. Calculate the remainder when 67 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f - 4*w = -1888, 2*f + 3*w - 946 = 0. Suppose -2*u + 2*p + f = 0, 5*u + 5*p = 1646 - 441. List the prime factors of u.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005438924 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 115.\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (780\/(-52)*(-3)\/18)\/((-10)\/(-124))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-124)\/10 + 2\/5. What is the smallest value in -0.3, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 102*j + 35. Let d be l(-3). Let b = 275 + d. Let r(q) = q**3 - 7*q**2 + 4*q. Calculate r(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -2*r - m, -r + 11 = 5*m. Let f be (-6)\/9*2\/r. Which is the second biggest value? (a) f (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3169772166 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: Which is the closest to 0.1? (a) 0.12 (b) 15 (c) 0.07 (d) -1 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9815896 times -0.13\nAnswer: -1276066.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/8 (b) 5 (c) -1\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130132244 (base 5) in base 2?\nAnswer: 10011001111000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {e: 1, s: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*c - 25, j + 4 - 14 = -5*c. What is the lowest common multiple of j and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 127.6.\nAnswer: -1.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 + 5*b**2 + 12*b + 5. Let r be j(-2). Solve 0 = -34*m + r*m + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906 + 1659 - 753 + 18*r**3.\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 193 + 348 + 243)*(2*x**4 + x**3 - x**3 + (-3 + 5 - 3)*(-2*x**4 + 1 - 1) + 5*x**4 - 2*x**4 - 2*x**4 - 4*x**4 + 3*x**4 + 2*x**4).\nAnswer: 4032*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 46. Suppose 357 = 3*x - 3*i, 2*x = 17*i - 16*i + 239. Suppose 12*p = t*p - x. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 176 = -0*n. Suppose n = 5*a + 3*r - 137, r = -a + 61. Calculate the greatest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6515 and 675.\nAnswer: 879525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saalo. What is prob of picking 1 o and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -210, -309, -370, -381, -330?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 0, 2*r + 3*k - 3 = -11. Suppose r*y + y + 33 = 0. Let n = y + 21. Solve 4*f - n = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -60. Let x = s - 9. Suppose 5*y = 7 + x. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2448 to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 53 + (6048 - 6028).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.176 + -0.015. Let p = o + 0.21. Round p to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 + 5*t**2 - 5. Let m(h) = 10*h**3 - 4*h**2 + 4*h**3 - 5*h**3 - 5*h**3 + 4. What is 4*k(g) + 5*m(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -36*k**2. Let u(i) = -16*i. What is n(u(p))?\nAnswer: -9216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - r + 23 = 0, 3*d + r = d - 13. Let i be (5\/(-2))\/(d\/(-12)). Let q = i - -10. Solve q*t - 3*z = -37, -t - 2*t + 4*z = 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342392 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-75))\/(2\/9). Let h = 11 - 14. Which is the nearest to -1\/6? (a) l (b) h (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emtk when four letters picked without replacement from {t: 2, c: 1, m: 1, e: 2, k: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/6*344\/2838.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-12))*i**11)\/(i**(3\/10)*i\/(i*i**(-1))) assuming i is positive.\nAnswer: i**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -112, -183, -272, -385, -528, -707?\n\"Answer: -v**3 - 52*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2820580 by -28.\nAnswer: 100735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*d - 14 = 0, 0 = 5*t - t - 4*d - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -30, 5 in ascending order.\nAnswer: -30, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a factor of 288218240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 17*i + 16. Let t be o(16). Suppose -3*w = 4*q + 3, t = 2*q + w - 0*w + 3. Which is the closest to 5? (a) q (b) -1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1921.6.\nAnswer: -576.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825707 is divided by 259.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 7*z - 26. Suppose -3*w + 51 = 21. Let g = 17 - w. What is the remainder when z is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001277778 to seven dps.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72) - (sqrt(72) - 5*sqrt(72)))*5)\/sqrt(4))\/(4*sqrt(864)*2))**2*-2.\nAnswer: -625\/1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j**2 + (-2*j + 2*j + j**2)*(3 - 3 - 2) + j**2 + j - j - 4*j**2 - 3*j**2 + 4*j**2)*(4*j**3 + j**2 - 11*j**3 - 3*j**3).\nAnswer: 60*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 203869873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and (25 - (25 - 10))\/((-1)\/(-8))?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 1134861690.1.\nAnswer: 1134861689.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 80*u - 32 = -62*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 10. Suppose 5*n - x = 3*n. Find w such that -22*w**4 + 29*w**3 + 0 - 7*w**3 - n*w**4 + 30*w**2 - 22*w - 4 = 0.\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.62878 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -16\/19, 3, 5, -5, -3 in descending order.\nAnswer: 5, 3, 2\/3, -16\/19, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -11. Suppose 0 = f + 2*f - d. What is the units digit of (1 - f)\/(1\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*v**2 - 16\/13*v + 32\/13.\nAnswer: 2*(v - 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + f - f. Let o = 54 - 44. Let x(i) = 7 - o*i + 4*i - 7. Calculate x(p(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -30. Let x = w + 1.9. Suppose -i + 21 = 2*i. Which is greater: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -50 - 4 + 63 - g - 9. Let k(q) = -156*q**2 + 130*q. Let u(m) = m**2 - m. Let s(i) = -k(i) - 130*u(i). Calculate s(h(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030826 to four dps.\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -28085762281009?\nAnswer: -28085762281007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 - 2*r - 2. Give t(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 + 3154*o**4 + 346343*o**3 - 2553500*o**2 + 2997392*o + 5894080 = 0. What is o?\nAnswer: -113, -1, 4, 3260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120626617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 15 + 14 = 53. Let h(o) = o + 1. Determine h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 425, 830, 1235, 1640, 2045?\n\"Answer: 405*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/9 + 24272*r**3\/9 + 73616972*r**2\/9 - 49102256*r\/3 + 8185058 = 0.\nAnswer: -6069, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 33643, -5, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k. Let i(c) = 8*c**2 - 7*c - 15. Suppose -25*j - 106 = -13*j - 34. Give j*p(z) + i(z).\nAnswer: 2*z**2 - z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v*v*v**(1\/2)\/v*v*v))**(4\/7) assuming v is positive.\nAnswer: v**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/3 - (116470\/(-114) - 8). Calculate the highest common factor of 4674 and m.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 1, -23, 4 in decreasing order.\nAnswer: 5, 4, 1, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -0.2 (b) -939 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 143304, 143307, 143310?\n\"Answer: 3*k + 143301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -18*d**2 - 7. Let l(y) = 9*y**2 + 4. Let j(g) = -3*b(g) - 5*l(g). What is j(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1778293 and -3.7?\nAnswer: -6579684.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**3 - 647*h**2 + 44*h + 36. Let m(b) = 7*b**3 - 323*b**2 + 24*b + 20. What is 11*m(u) - 6*n(u)?\nAnswer: -u**3 + 329*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -33 - (168 + -154)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -75*w**2 + w. Let j be h(2). What is the common denominator of (j\/(-12))\/1 - 2 and 15\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfkhpfr. What is prob of picking 1 r, 1 f, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 47337.\nAnswer: -2\/47337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.718 - 4.718. What is the nearest to -0.1 in -3\/7, -0.1, i, -55?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4589 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/4 (b) 0.5 (c) -45 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, b: 2}. Give prob of picking 1 f and 1 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-2\/3)*a)))**(-43)*(a**(-2\/3)\/a*a*a)\/a**0 assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 22657.54mm?\nAnswer: 22657540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2. Let g(m) be the first derivative of -401*m**2\/2 + 82. Calculate x(g(v)).\nAnswer: -482403*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/7)\/(t*t**46) assuming t is positive.\nAnswer: t**(-324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(2\/29)*g)\/g)*g\/(g**(-5)\/g*g*g))\/(g**(-2\/7)*g)**(-4\/11))\/((g\/(g*(g*g**1)\/g*g))**(-2\/3)*g\/g**(2\/3)*g**(-3\/4)*g) assuming g is positive.\nAnswer: g**(87733\/26796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 10 + 12 + 14 + 1168763*s.\nAnswer: 1168763*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -93\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:47 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 3*z + (-1 - 2*z + 1)*(4 + 1 - 3))*(z**2 - z**2 + z**2 + (4*z + 0*z - 6*z)*(0 + 0 + 2*z)).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47444 or 0.3?\nAnswer: -47444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19243 - 17?\nAnswer: 19229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333244 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*l - 7. Let r(n) = -n**3 + 5*n**2 + 2*n - 7. Let p be r(5). Suppose p*d + 2*d - 90 = 0. Solve 0 = 5*u - l*t - 26, 3*u - u - 5*t - d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-112))\/((-17)\/8)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t = -60*t + 6060. Let i = t + 4803. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(32\/(-15) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(23\/((-230)\/(-20))). What is the nearest to 0.1 in -6, 1, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/2 - 123*x**4 + 18551*x**3\/2 - 26958*x**2 + 17806*x = 0 for x.\nAnswer: -307, 0, 1, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509 - 304. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011012100210011 - 11?\nAnswer: 2011012100210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13557 (base 13) to base 4.\nAnswer: 20303211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -264, -719, -1488, -2577, -3992?\n\"Answer: -u**3 - 151*u**2 + 5*u - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3 + 3*j**4 + 52 + 0*j**3 + 24*j - 30*j**2 - 52 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 3*n**2 + 16*n**2. Let a(x) = -2*x**2. Give a(u(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 4. Let u(c) = 16*c**2 - 19. Let n(b) = 2*u(b) + 11*x(b). Give n(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1726 and -54.2?\nAnswer: -93549.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9305598500 to the nearest 1000000.\nAnswer: 9306000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 28*u**2 - 2*u + 20. Let q be m(14). Let a be 2\/q - 25\/(-100). Solve -2*y - 2*y + 16 = a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 1. Determine l(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -36.77.\nAnswer: 23.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11\/3 (b) 5 (c) -0.8 (d) 0 (e) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16970 divided by 1\nAnswer: 16970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285150520 - 0.8.\nAnswer: -285150520.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d + 99. Let u(n) = -6*n - 51. Give 5*u(i) + 2*z(i).\nAnswer: -2*i - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 11:05 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssh when three letters picked without replacement from shhhhsh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = t - 3, -3*t + 21 = 2*u. Solve 13 = -3*l - o, 0*l - 3*o = 3*l + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-1 + -20667))*25\/(-20)*4. What is j rounded to the nearest one thousand?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n - 27. Let b(j) = -5*j - 9. Let y(k) = -17*b(k) + 6*f(k). Calculate y(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 141 = -2*o - 159, 0 = -3*o - 5*i + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 + 11*y - 2 - y - 20*y wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94.1 - 44.3. Let t = -2.2 - p. Which is the second biggest value? (a) 2 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 3*l. Calculate the remainder when f(5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z - 1. Let c(m) = -5*m**3 - 9*m**2 + 9*m - 9. Determine -4*c(y) + 36*l(y).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 52\/31?\nAnswer: 52\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3213 or 1?\nAnswer: 1\/3213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*g + 1036, f - 16 = 2*g - 430. Let y = -326 - -345. Calculate the remainder when g is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*s - 65*s + 1302 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 7. Let z be f(-8). Suppose 3*q - 4*k - 20 = z, -2*q - 3*k - 5 = 0. Let l(t) = -4*t - 6. Determine l(q).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1295947, 19 in increasing order.\nAnswer: -1295947, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*x = -2*g + 75, g - 5 = 5*x. What is the remainder when 37 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2, -57, 0 in increasing order.\nAnswer: -57, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 + 1110*u - 5635. Determine d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/8 - -9)\/(595\/476).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -51e?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/280 - w**5\/7 - 37*w**4\/56 - 9*w**3\/7 + 197*w**2. Factor h(u).\nAnswer: -3*(u + 1)**2*(u + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2019 + -2018.6. Let j be 1\/(-2) - (0 + 0). What is the nearest to j in c, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 4*p**2 - 6*p - 38. Let t(m) = 2*m**3 - 5*m**2 - 7*m - 36. Determine 6*n(v) - 5*t(v).\nAnswer: 2*v**3 + v**2 - v - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 40 = 5*r, 5*x = -801 + 781 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*k - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*u = -4*b - 20, 3*b = u - 9. Suppose 2*f - 3*f = -3, u*f = -3*x. Suppose 2*a + 6 = l - 3*a, 5*l + 4*a = -28. Sort l, -5, x in increasing order.\nAnswer: -5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*x - 9542 = 0, 2*t + 18*x = 16*x + 9542. What are the prime factors of t?\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368652 is divided by 24544?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 79.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 7 = -b + t, -3*b - 23*t = 2*b + 146 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83213.1ug to milligrams.\nAnswer: 83.2131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = -a. Let p be 2\/3*-1 + 29\/(-87). Let w be 14 - (a - 2\/p). Solve 4*v - 5*m = w, -2*v + 2*m + 3 = -3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459 - 351 + 1451 = 433*v + 3404 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20*k + 16*k + 21*k - 20*k.\nAnswer: 37*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 23843645519.\nAnswer: 23843645516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -27.339 and 3282.929.\nAnswer: 3255.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -7 (b) 3 (c) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13785 is divided by 234?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429\/(-792) + 55\/330.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66595 and 1377690?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.6544 - 73.7737. Let v = m + -0.0807. What is v rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from glg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 93, -5 in decreasing order.\nAnswer: 93, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 22*j**3 + 20*j**2.\nAnswer: 2*j**2*(j - 10)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/119, 0.7, 3\/5, -4, 5\/7?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - q - 9*q + 0*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 1, -2*s = -4*y + 266. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)\/(a\/a**19*a)*a**(2\/11)\/(a\/(a**(-8)*a)) assuming a is positive.\nAnswer: a**(-53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/480 and -7\/4?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 5. Let f = 35 - 33. Let w be m(f). Solve 3*l = -2*i + 1, w*i - 3*i = -4*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2)\/m)\/m)**(-13)*(m\/m**(-3\/2))**(1\/6))**(8\/5) assuming m is positive.\nAnswer: m**(158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4955 + -4955.000005358. What is c rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1. Let n(u) = 27*u + 6. Determine -6*c(y) + n(y).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.071, -0.2, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*n**3 - 89*h**3*n**2 + h**3 - 10801*h**2*n**3 + 83*h**2*n wrt n.\nAnswer: 18*h**3 - 64806*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 37. Suppose 0 = -101*n + 3188 + 21355. Factor 10*m**2 + 2*m**2 + 380*m**4 - n*m**5 - r*m**4 - 120*m**3.\nAnswer: -3*m**2*(m - 1)*(9*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 31*c + 36 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r + 25. Calculate i(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c - 1011*c**2 + 1885*c**2 + 35*c.\nAnswer: 874*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56.4462 + -56.5. Let o = i + -0.5852. What is o rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 7*m + 16. Let d be n(-5). Let p(l) = 165*l - 12. What is the hundreds digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*p - 90, 3*n = 8*n + p - 138. Let k be 2 - (-9)\/(n\/12). Solve w + w + k = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 279 (c) -2 (d) -3 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 337450*a = 0.\nAnswer: -168725, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/4 + 2*h**3 + 5*h**2\/2 - 6*h - 8. What are the prime factors of o(4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 54*h + 50. Let p be a(17). Is -6058 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c - 9*c + 378 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.053, -6\/7?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 2. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14540165 times 0.05?\nAnswer: -0.0072700825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -2*h + 75, 0 = 4*n - 4*h - 104. Let c = n + -21. What is the least common multiple of c and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - 2*q + 7*q)*(3 + 0 - 1 + (1 - 2 - 1)*(0 - 2 + 3) - 5 + 2 + 1 + (1 + 1 - 1)*(-3 - 3 + 3)) to u*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7452.406 kilometers to millimeters.\nAnswer: 7452406000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 100?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 2)*(22*f**2 + 50*f**2 - 69 + 70) to the form s + g*f**2 + p*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) - (-1 + sqrt(162) - sqrt(162))*6))**2*2 + (0 + sqrt(72) - (-2 + -1 + sqrt(2))).\nAnswer: 5*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(475) + 0)*2 - (sqrt(475) + 5*2*sqrt(475))).\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-2 - -2 - 0). Is (-50)\/(3*(-2)\/f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:46 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 11:51 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6638 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144360225*m**2\/4 + 12015*m + 1 = 0. What is m?\nAnswer: -2\/12015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82141 - -2382088\/29. Let y = 3.6 - 4. What is the nearest to -1 in -0.3, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15608, 0, -4 in descending order.\nAnswer: 2, 0, -4, -15608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Let w = -1 + j. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 28. Let a = 6502.77 + -6549.76893. Let j = o + a. What is j rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Let u be i - 1 - (0 + -3). Let z = 1 + u. Solve -4 = -j + 1, -3*c - z*j + 27 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -0.07 (c) -4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-10 - 81) + 3 + -3. What is the closest to -5 in 0.1, -1, y, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 10*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + -3 + (-1 + (-5*(sqrt(76) + 0) - sqrt(76)))*-1))**2.\nAnswer: 384*sqrt(19) + 43792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7024 = 3*y + 4*w, 3*w = -5*y + 17588. Is y a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 900 divide 2371340402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -577*x - 112*x - 23*x**3 + 9*x**4 - 23*x**3 + 43*x**3 wrt x.\nAnswer: 108*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1707868 by -4.\nAnswer: 426967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -444774462*d**4 + 631146186*d**2 wrt d.\nAnswer: -10674587088*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chf when three letters picked without replacement from {h: 1, c: 6, f: 2, l: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from {r: 3, b: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -226 and -0.47?\nAnswer: 106.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3036 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.029 + -0.02869. Round h to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 - 158*q - 6. Let w(f) = 4*f**2 + 157*f + 5. Determine 3*p(d) + 4*w(d).\nAnswer: -2*d**2 + 154*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(363*r - 59*r + 221*r) to p*r + h and give p.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*f + 26*f + f**4 - f**2 - 14*f + f**3 + f**4 as h + i*f + o*f**2 + a*f**4 + m*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + -141 - ((6 - 5) + 21)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 18. Let u be 6\/4*4*2\/1. Suppose -135 = s*b - u*b. What is the least common multiple of b and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 9 - (0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51*1\/(-17))\/300?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225 or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -96. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291767576 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 + 2469423?\nAnswer: 2469424.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4029, -8070, -12111, -16152, -20193, -24234?\nAnswer: -28275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 66*n + 7*n**2 - 60 + 78)*(0 - 2*n**2 + 0).\nAnswer: -14*n**4 - 132*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 617c + 1b9?\nAnswer: 6368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/150705, -21 in decreasing order.\nAnswer: -2\/150705, -2\/7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276543527?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/8)\/(2\/(-8)). Let f = g + 5. What is the second derivative of -j + 0*j**f + 2*j**2 + 0*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, o: 1, d: 4, c: 2}. Give prob of sequence dcpc.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26773 - 13384 + 161*b - 8*b**3 - 13389 - 161*b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose -4*x + 4 + 4 = 0. Let d(a) = -a**2 + 1 + 3*a**x + a**v - 4*a**2. What is d(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**2 - 21*f**2 - 27*f**2 + 32*f**2 - 43*f**2.\nAnswer: -126*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13795566?\nAnswer: 2, 3, 1429, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {m: 1, r: 2, c: 4, i: 3, b: 1, g: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) - 366613\/46140 - -3. Let k = 10\/2307 - c. Calculate the common denominator of k and -69\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -2 (b) -3\/2 (c) -178 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Suppose 22 = m*n - 8. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1475*c - 445*c - 4990*c + 770*c + 2*c**3.\nAnswer: 2*c**3 - 6140*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323 - -431. Let g(j) = -j**2 + 7*j + 2. Let l be g(5). What is the highest common divisor of l and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-371 - -220) + 53 + -1.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(1053\/9)*(3 + -2 - 4).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -21*h + 1. Let u be w(-4). Suppose 4*q = -20, -5*t = -4*q - q - u. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -962 + 964. Let z = 1 - 0. Let k = z - 0.6. Which is the smallest value? (a) -2\/7 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x. Suppose t - 3*t + 26 = x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173355 - 11?\nAnswer: -173366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 g, and 1 n when four letters picked without replacement from kgkkevggegeneeet.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254 - 254 + 31*g + (-3 + 0 + 4)*(4*g - 2*g + 0*g))*(48*g**4 - 3*g**4 - 27*g**4).\nAnswer: 594*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 3074?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z + 2. Let d be 5 + ((-44)\/(-33) - 66\/9). Let c(k) = k. What is d*l(i) - 2*c(i)?\nAnswer: -12*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 7)\/(-5)*-9. Let t(v) = 4*v + 48. Let n be t(i). Calculate the greatest common factor of n and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154\/41 + 6295\/246. What is the common denominator of 1\/39 and t?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98250999 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 881189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/2)*f**(3\/28))\/(f**7)**(-16\/7) assuming f is positive.\nAnswer: f**(549\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31875, -63733, -95593, -127455, -159319, -191185, -223053?\n\"Answer: -a**2 - 31855*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (415 + 421 + 80)*(g**2 + g**2 - 4*g**2)*(-2*g**2 + 4*g - 4*g).\nAnswer: 3664*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4.4502 + 430.7536\nAnswer: 435.2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50589\/(-9636)*(-8)\/(-861)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)*0\/2. Suppose 0*a = -4*s - a + 17, c = 5*s + a - 22. Suppose -3*b = -8*b - 10, -s*j = -5*b - 395. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.3 (b) 4 (c) -5 (d) -32\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1820991127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4366 - 1389 + 5*x**3 - 1392 - 1585.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/20)\/((-2)\/5)*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y**2 - 59*y**2 + 6*y**2 - 43*y**2.\nAnswer: -177*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose 0 = -5*t - 20, 3*t - 5*t - 4 = 2*y. Let q be -1*y - (-8100006)\/x. What is q rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/3)\/((n**(-1\/3)\/n)\/n))**23 assuming n is positive.\nAnswer: n**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 390*g**2 - 8*g + 4. Let s be p(-7). Let h = s + 2068. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 0.9. Let p = 0.9 + m. Let o be (10 - 11)\/(1 + -8). What is the nearest to p in -2\/5, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/3*z**3 + 0*z**4 - 1\/60*z**5 - 17*z**2 + 0*z + 0. Determine y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-7 - (7 - 10)) - 10 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 303739\/30 - 10121. What is the common denominator of n and 43\/32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -26. Let y(z) = -2*z - 5. Let r(p) = -1 + 0 + 8 - 6. Suppose 0*b = -b + 1. Calculate b*y(f) + c*r(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*i*w**2 - 1374*i*w - 2*i - 427*w**2 - w - 8 wrt w.\nAnswer: 144*i - 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36360 and 15.\nAnswer: 36360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000001111101000110 (base 2) in base 3?\nAnswer: 2222022112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -9. Let p = 10 + y. Solve -3*z + p = -11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -60.9. Let u = p + 4. Let g = 3.9 + u. What is the nearest to g in 0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 38 + 307*v - 207*v.\nAnswer: 100*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2473 + 2481. What is the greatest common divisor of 670 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -18. Suppose -a - y = 3*a. Let p(t) = -t - 5. Let m be p(a). Which is smaller: m or -1\/14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4*r - h**3*r - h**2*r + 4*h**2 - 9*h*r + 49*r wrt h?\nAnswer: -24*h**2*r - 6*h*r - 2*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 4 (c) 1 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + 2*o**4 - 1 - 20*o**2 + 20*o**2 as w*o**4 + n*o**2 + p + h*o + q*o**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1010010111110000111001110?\nAnswer: 1010010111110000111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:09 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 1284 = 5*q. Is q\/(-2)*(-24)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -2053*o**7\/210 + 69*o**4\/4 - o**3\/3 + 3*o**2 + 215. Find the second derivative of j(m) wrt m.\nAnswer: -24636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 43. Suppose 4*c - 220 - u = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -36*j**3 - 431*j**2 - 7*j - 67. Calculate s(-12).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - s**2 + 5*s**2)*(-160 + 160 + 36*s) in the form n + m*s**3 + j*s**2 + w*s and give m.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = 2*q - 79608. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let g(f) be the first derivative of f**3\/6 + 2*f**2 + 2*f + 46. Let y(w) be the first derivative of g(w). Determine y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600228087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370.392837 rounded to 0 dps?\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 18*d + 27. Calculate g(16).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*c**2 - 137*c + 137*c)*(-3 + 3 - 2)*(3 - 3 - 2*c**3) - 7*c**5 + 5*c**5 - c**5.\nAnswer: -135*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + -11101010010100000?\nAnswer: -11101010001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) + -1 + 3 + sqrt(637) + (sqrt(637) - (0 + sqrt(637) + 1)))*5 + (-6*sqrt(637)*-3 + sqrt(637) - (-5 + sqrt(637) + 2 + sqrt(637))))*-5)**2.\nAnswer: 75600*sqrt(13) + 11610925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/23 - -75\/299. Let d = 9\/52 + m. Let t be -3 + 12\/24*1*6. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**4*w + 145*u**3*w**3 - 782*w**3 with respect to u.\nAnswer: 8*u**3*w + 435*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 283*n + 1985. Let m be u(-7). Which is the smallest value? (a) -0.126 (b) 1 (c) 5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 26. Suppose 5*o - 24 = -b, -y*o - 72 = b - 4*b. What is the remainder when 45 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 418, 393, 358, 319, 282, 253, 238?\n\"Answer: t**3 - 11*t**2 + t + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p. Let y(j) = 3*j - 8. Suppose 19*u = -19*u + 51*u - 13. Calculate u*y(o) + 3*g(o).\nAnswer: 3*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1147, 2\/7, 1\/100, -3\/8, 3, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231312 (base 6) to base 14.\nAnswer: -72c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/4, 0, -4, -41.7 in descending order.\nAnswer: 0, -2\/9, -1\/4, -4, -41.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(sqrt(5) - (-3 + sqrt(720)))*1.\nAnswer: -14 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*o**3*p**3 + o**3*p + 3*o**2*p**3 - 24*o*p**3 + 2*o*p**2 - 13*o*p wrt o.\nAnswer: -240*o*p**3 + 6*o*p + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + 4*d)*(4 - 1 + 4) - 2*d + 1 - 1 + (-1 - 2 + 4)*(2*d - 3*d - 3*d) - 4 + 9*d + 4.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8031 - -240961\/30. What is the common denominator of t and -31\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 207435*s + 829743\/4.\nAnswer: -3*(s - 276581)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 1 - 1)*(-4 + 4 + 2)*(125 - 53*i**2 - 125) in the form b + o*i**2 + h*i + z*i**3 and give z.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let r be (h + (-6)\/3)\/(-1). Suppose 0 = -c - r + 2. What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 12. Let j be w(-10). Let i be (-15)\/(-10) + (j\/12 - -2). Let r = -1 - 0. Which is the closest to -1? (a) -2\/7 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 7*q - 77 = 0. Let p = 137 + q. What is the least common multiple of 36 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2673*r**2 + 2*r + 791?\nAnswer: -5346*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-2\/3) assuming r is positive.\nAnswer: r**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2479*o + 17383. Let s(c) = 13*c**2 - c + 3. What is the remainder when s(3) is divided by u(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4 + 1)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 6.059, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28161\/(-160920))\/((-2)\/48)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*r**5 - a*r - 1809*a + 284845*r**5 + 22*r wrt r.\nAnswer: -40*a*r**3 + 5696900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {i: 3, w: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s**2 - 33*s**2 + 8*s - 80 + 7*s**2. Is z(39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88\/25 + -497\/150. Calculate the common denominator of 4\/(-22) - 7119\/(-5940) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.99 from 49.\nAnswer: 46.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) 392 (c) 4\/7 (d) -695\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.9 - -46. Is a at most -11.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z. Let a(m) be the first derivative of -m**3 - 6*m**2 - 3247. Give c(a(j)).\nAnswer: -36*j**2 - 144*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/(-2)*(-5 + -5). Let h be (-3)\/(-4)*(-7 + c) - 1. Calculate the greatest common factor of 100 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3696 - -593. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9 - -34) + 11 + (-10 - 9 - -8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 6 = 2*g, -2*g + 5*c - 27 = -7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/((-44550)\/(-3861)))\/(1*-1 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -755*z + 230. Let l be t(-2). Calculate the greatest common divisor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -123, -63, 143, 543, 1185?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 18.\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*-2 - -1. Let c(o) = o + 7. Let s be c(-5). Suppose q - s*q = 3. Sort t, q, 2 in descending order.\nAnswer: 2, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -12 + 67. Let b = 17 - r. Solve -4*y + b = -k - 3*y, 4*k + 2*y = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 87453*s**3 + 4 - 9196*s**3 - 2.\nAnswer: 78257*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1359, -5462, -12303, -21882?\nAnswer: -34199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.399 millennia?\nAnswer: 3.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1365526 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*-2*(-10)\/(-16). Is (-1 - -2444) + x\/(-10)*0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24447 is divided by 272?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2151.68 - -2151. Let z = -24.563 + 24. Let i = x - z. What is i rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.029 + 2.929. Sort -0.07, 133, z in decreasing order.\nAnswer: 133, -0.07, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - p - 29, p + 35 = -4*u + 12. Let c be (-78)\/(-4) + (-15)\/(-30). Suppose 8*n - c = h + 3*n, -4 = h - n. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + -3 + -1 + sqrt(2057))*5)**2 - (0 + (sqrt(68) - (sqrt(68)*-2 + -3)**2)).\nAnswer: -4378*sqrt(17) + 206381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 53. Give y(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) - (1070\/3)\/(-5). Suppose -77*y = -k*y - 1005. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t**2 - 4*t. Suppose -3*r - 38 + 11 = 0. Let y(l) = 5*l**2 - 2*l. Let k(m) = r*y(m) + 4*c(m). Find the second derivative of k(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 9*t**2 - t + 7. Give z(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1848, -1852, -1868, -1902, -1960, -2048?\nAnswer: -2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*g**3*s - 229*g**2*s wrt g.\nAnswer: 330*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 51. Let i(h) be the second derivative of h**4\/6 + 239*h. Calculate q(i(b)).\nAnswer: 4*b**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102593639*x**2 + 672801139*x?\nAnswer: 205187278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 775*a**8\/28 - 551*a**4\/12 + a**2 - 1313*a. What is the third derivative of d(w) wrt w?\nAnswer: 186000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t. Let w be u(-1). Suppose 2*j - 3 = 4*m - 1, 0 = -w*j + 2*m + 4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/4)\/q**13*q**(-1\/21)*q*q**(-16) assuming q is positive.\nAnswer: q**(-2335\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17597 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.7 - -8.1. Which is the third smallest value? (a) -0.03 (b) 10 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388865937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -23 + 8. Suppose -2*s - 10 = 0, 0 = 2*q - 3*q + z*s + 74. Suppose -4*f + 21 = -q. Solve 0 = 2*m + 3*m + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + s**2 - 3. Let u(l) = 3*l**3 + 2*l**2 - 5. Let w(p) = 10*o(p) - 6*u(p). Determine y so that w(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 - -108. Let n be a\/(-11)*(-16)\/(-10). Solve -n = -4*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*((-3)\/15 - (-6)\/(-20)). Suppose -z*p + 8*p + 2*r - 14 = 0, -p - 5*r - 11 = 0. Solve p = -m - 0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114152 (base 6) in base 14?\nAnswer: 16912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9757438 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w. Let s(j) = -7*j. Let q(p) = 5*s(p) - 6*z(p). Let k(d) = -6*d + 4. Let x(i) = -17*i + 11. Let b(l) = 11*k(l) - 4*x(l). Determine b(q(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59.22926 millennia?\nAnswer: 710751.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) -0.06 (c) 10 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/3 - 8*t**2\/3 + 5*t = 0. What is t?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 54590.\nAnswer: -1\/10918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 26. Let v be d\/(0 - 6\/15). Let b(l) = l**2 - 3*l + 4. Let m be b(3). Solve -m*o + v = -8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 14*b**2 + 39*b - 8. List the prime factors of d(16).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4471204429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2666, -2652, -2624, -2576, -2502, -2396, -2252, -2064?\n\"Answer: i**3 + i**2 + 4*i - 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3864 and 3229338?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 0.14 (c) -2\/13 (d) -40\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 32001107.\nAnswer: 9600332.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3491948.\nAnswer: 2, 29, 30103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4835712226 - -6.\nAnswer: 4835712232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a milligram in micrograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 16426?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 - p. Let c be j(0). Let b = -57\/106 + 2\/53. Sort b, c, 0.1.\nAnswer: b, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1964.938 - 1968. Let m = -0.062 - y. Let j = -0.05 - 0.25. Which is the smallest value? (a) j (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.018 - 48.018. Let f = 19 + o. Let r = -29.085 - f. What is r rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2 + 1. Let c(b) be the second derivative of -13*b**5\/20 - 3*b**4\/4 + 9*b**2\/2 - 48*b. What is 2*c(r) - 18*v(r)?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3819.698ml in litres?\nAnswer: 3.819698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**2 + 45. Let t(c) = -12*c**2 + 46. Give -4*t(k) + 5*v(k).\nAnswer: -12*k**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -25294\/1965?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, h: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.043 - 77. Let i = z + -0.043. Which is the closest to -2\/3? (a) i (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9576\/(-1974))\/114 + (-582)\/(-423)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 23 = 3*s, -4*s - 4*t + 44 = 0. Let h be (s\/(-4))\/((-1)\/4). What is the third derivative of 7*j - 13*j - 6*j**h + 2*j**2 + 6*j wrt j?\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*c**3 - c**3 - 2*c**3 + 7 - 4*c**4 - 10 - 45*c as u + l*c**3 + t*c + d*c**4 + v*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-20)*170\/(-119).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 104 = 24. Let m = h + 24. Calculate the least common multiple of 6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -35. Let a = 73\/44 + -7\/4. Put o, -0.4, a in descending order.\nAnswer: o, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609700 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3303 (base 5) to base 12\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -5*(sqrt(119) + (sqrt(119) - (sqrt(119) - 2*sqrt(119)))) + sqrt(119))\/(sqrt(126)\/sqrt(2) + sqrt(63)).\nAnswer: -13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/160 + 7*n**4\/8 - 49*n**3 + 6*n**2 - 2*n. What is s in w(s) = 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 1515 + 1515.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 1, n: 4, x: 2, p: 2}. Give prob of sequence nnhq.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -7 + -46 - -48) + -70.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(8*w - 2*w**2 - 5*w**3 - 98711 + 0*w**2 + 98709) to the form y*w**2 + n + q*w**3 + z*w and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0209826 + 0.021. Round n to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 30 = 3*c. Let b(x) = -x**2 + 10*x + 2. Let o be b(c). Let l = 33 - 21. Solve -t = -2*q + l, 3*t - 5*q + o = -q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:47 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 3, -13, -7, -4 in descending order.\nAnswer: 3, -4, -7, -13, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, y: 3, v: 4, e: 2}. Give prob of sequence ve.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.047 in -2\/25, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*j - 12 = -2*d, -d - 5*j - 1 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.979 + 0.021. Which is the nearest to -0.2? (a) -0.3 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2\/7 - 58494*m\/7 - 4776336\/7 = 0.\nAnswer: -19416, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afammamafmmmmff. What is prob of sequence mmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 + 50*w - 631. Let l(s) = -4*s**2 + 28*s - 313. Determine 5*l(t) - 3*r(t).\nAnswer: t**2 - 10*t + 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-195)\/(-300) - ((-162)\/45 - -4). What is the biggest value in 0.03, h, -10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 777 - 781.8. Let p = -4.72 - x. Which is the third smallest value? (a) p (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 9:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 13*r = 0. Suppose 0 = -r*k + 4*k - 16. Solve 5*u - k*g = g + 15, 4*g - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5558 + 61136\/11. What is the closest to 1\/4 in 1, 0.031, v?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/10))\/c)\/((c*c**12)\/c))**(2\/19) assuming c is positive.\nAnswer: c**(-119\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*o - 11, 4*o = -2*z + 3*z - 1. Suppose -2*n + z = l - 8, 0 = 4*l + 20. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.87 + 1.13. Sort -5\/2, -440, j in ascending order.\nAnswer: -440, -5\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 4, 39 in increasing order.\nAnswer: -6, 2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51859501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 - 12\/(-3). Suppose 0 = 2*m - w + 6, -2*m - z*w - 2*w - 16 = 0. Which is the second smallest value? (a) m (b) -2\/3 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 12*l - 14. Suppose -5*g + 670 = -5*y, 0 = -4*g + 2*y + 294 + 232. Let f = -116 + g. What is the units digit of n(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*x + 52, 5*x = 4*l - 20263 + 20238 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (27\/((-108)\/737728) - -12)*4\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8 - -65) + -12 - (-2 + 9)) + -3\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {o: 9, d: 1, j: 2, q: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 divided by 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 28. Let c = g + -8. Solve -c + 0 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-2)*1*2. Suppose -4*p = -w + 5. Suppose -v + 35 = -5*f, p*f + 0*f = -v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -35 - y - 18 - y**2 - 7. Let z be q(0). Let a = 85 + z. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -24.5. Let k = 0.2 + -0.3. Put d, -2\/5, k in decreasing order.\nAnswer: k, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let y(v) = -v**2 + 8*v - 4. Let a be y(8). Put -2, i, a in descending order.\nAnswer: i, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*w**4 - 6260*w**2 - 2*w + 14989 wrt w?\nAnswer: 180*w**2 - 12520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.9, 2, 398\/3, -2\/9, -1\/8 in descending order.\nAnswer: 398\/3, 3.9, 2, -1\/8, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*l + 63 = 0, -3*p - 5*l + 69 = 15. Let b = p + -20. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 + 190\/(-140)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d - 2. Let u be m(4). Let p = -19 + u. Suppose 3*a = -p + 27. Solve -2*j = -0*j - a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19468 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4956906913 to the nearest integer?\nAnswer: 70405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(((t*t\/(t\/(t**(1\/4)\/t*t)))\/t*t*t)\/t*t)\/t*t)\/t**8*(t**2\/t)**(-5\/18) assuming t is positive.\nAnswer: t**(-181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -8*(-6)\/20. Let q = -12.1 + 2.1. Let i = -9 - q. Which is the closest to i? (a) 0.5 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4, 9*j - 64 = 7*j - 2*t. Let c(o) = o**2 - 29*o - 62. Let d be c(j). Solve 0*i + 7*i + 14 = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/65)\/(69\/(-115))*-14.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-46 + -1) - (-666 - -684)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 + 3*r**2 - 6*r. Let t(m) = 2*m**3 + 2*m**2 - 3*m. Let q(g) = 7*t(g) - 3*w(g). Suppose -1 = s - 2*y, 0*y = 2*s - 2*y - 2. Calculate q(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4136 - 0.2136. Which is the nearest to -5? (a) 0.8 (b) -2 (c) t (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*z**3 + 78*z**3 + 0 + 0 - 72*z**2 wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-12 + 3\/(-1)). Does 4 divide 4*4\/r - -22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + (-15 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4171297 years to centuries.\nAnswer: 0.004171297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g + 5 + 31 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*v + 222, 4*v - 126 = -2*q - 0*v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 599*n - 595*n + 38, 3*r - 2*n = 74. What is the fourth smallest value in -1, -0.2, 3, r, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 - 35*d**2 + 3*d + 18. Determine k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/2*9\/2. Let q = -4 - y. What is the least common multiple of 2 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 438, 891, 1366, 1869, 2406?\n\"Answer: s**3 + 5*s**2 + 431*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (-13895)\/(-735) - 25.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 11. Let m(q) = -288 - 185 + 475. What is 6*f(h) + 33*m(h)?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 163161031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6690433.\nAnswer: 6690433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5201215 is divided by 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107329383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*z + 16 = 2*z, -3*z = -5*x + 5. Let d(s) = s. Let b(u) = u**3 - 5*u**2 + 9*u - 1. Let i(h) = b(h) - 5*d(h). What is i(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -40*m + 42*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 2*t**2 + 3*t - 13. Let u be c(-6). Let r = 567\/5 - u. Factor 4\/5*l - r - 2\/5*l**2.\nAnswer: -2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/126*(-10 - -16))\/((-3)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.2, 0, -1\/9 in increasing order.\nAnswer: -0.2, -1\/9, -0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 2*o - 11, 3 = -3*l - 4*o. Let t = -6.8 - 0.2. Let w = -6.96 - t. What is the closest to -1\/2 in w, 0.4, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 37, 128, 309, 610, 1061, 1692?\n\"Answer: 5*b**3 - 4*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*x - 32 + 112, -j + x + 92 = 0. Let i be ((-1)\/2)\/((-5)\/j). Let d = i + -3. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.087 + 0.313. Let q(h) = -h**2 + 14*h - 50. Let m be q(7). Put a, m, 5, 0 in descending order.\nAnswer: 5, a, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/10)\/(201\/2010). Let i(j) = 3*j**2 + 0*j**2 - j - 2*j**2. Calculate i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 40 - 20 = 0. What is the common denominator of -119\/10 and (h - -8)*158\/(-80)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/24 and 107\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msypk. Give prob of sequence pky.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12*l**2 - 126*l + 17. Give w(-11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/30 - q**4\/2 + 16*q**3\/3 + 85*q**2 - 2. Solve i(y) = 0 for y.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22258 is divided by 530.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -79, 85 in decreasing order.\nAnswer: 85, 7, 4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 12*z**2 - 2*z - 2. Suppose 1 = 5*j + 61. What is the lowest common multiple of 2 and d(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.4 - 29.4. Let x = -18.0372 - o. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 67*j**2 + 394*j - 51. Determine g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2. Let b = 61 - 61. Let l(p) be the second derivative of 0 + 1\/4*p**4 + b*p**2 + p + 0*p**3. Determine c(l(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20089704 divided by -6.\nAnswer: -3348284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - 7302?\nAnswer: -7275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 6 = w + 3*l, 0 = 3*w - 4*l + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 60*x + 278. Let c be t(55). Let s(r) = -63*r - 82*r + c + 146*r - 4. Let b = 5 + 0. Give s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/27)*a**(-12)\/a assuming a is positive.\nAnswer: a**(-353\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-51 - 0)*1\/(-3). Let l(g) = -g**2 - 12*g + 62. Let i be l(o). Let u = -173 + 683\/4. Do u and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1\/2*q**2 + 1\/3*q**6 + 216 + 0*q**3 + 0*q**5 - 29*q - 9*q**4. What is the second derivative of z(l) wrt l?\nAnswer: 40*l**3 - 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - -0.9. Let t = 30.33 - 30. Let f = t - -4.67. Sort x, f, -0.2 in descending order.\nAnswer: f, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 110933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:35 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 299688726 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*x - 2303, f + 3*f - x - 1839 = 0. Suppose 3*h = h - f. Does 28 divide h\/(-4) + (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*3 + -4 + sqrt(2299) - 1*(-1 + sqrt(19))*-5.\nAnswer: -9 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*a**3*q**2 - 7825*a**3 + 29*a*q**2 wrt q?\nAnswer: 210*a**3*q + 58*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -3. Let w = 150 + -75. Suppose 5*a + 5*c + 25 = w, 0 = a - 2*c + 5. What is the least common multiple of j and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*u + 4 = 0, u + 2 = 4. Suppose y*r = -s + 5*r - 9, 4*s + 2 = 3*r. Suppose -s = -5*k + 9. Sort k, 4, -4 in descending order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2 - 10549680*b - 21099368 = 0.\nAnswer: -2, 5274842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*j - 42 = 225*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:52 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30022379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c - 1. Let b be m(-5). Let p = b - -42. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 222002101?\nAnswer: -222002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.85 rounded to 1 dp?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sixths of a day?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -233113314 (base 6) in base 16?\nAnswer: -425bae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(176) - 4*(2 + sqrt(11)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/5 (b) -11 (c) -2\/13 (d) 0.2133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h + 1\/6*h**2 + 1\/90*h**6 + 0*h**5 + 0*h**3 + 0 - 1\/18*h**4. Factor t(p).\nAnswer: (p - 1)**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 k, and 1 p when four letters picked without replacement from ykykqprkykpkkkpxkqxy.\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buv when three letters picked without replacement from pdubvep?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 10. Let k = -13 + 8. Is w(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 16 = 3*i, 43*i = 5*m - 30*m + 48*i - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/3 + 1074986*n\/3 + 214997\/3.\nAnswer: (n + 214997)*(5*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 12 - 6*g - 3*g + 0.\nAnswer: -9*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64327472?\nAnswer: 2, 11, 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150806863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*9\/2. Solve -8 = g - s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/5 - 2069571*m**2 = 0.\nAnswer: 0, 3449285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(77)*-1 - sqrt(77))*4)\/((sqrt(140)\/sqrt(5))\/sqrt(4)))**2*-5.\nAnswer: -3565 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46551507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*v - 75*v**2 + 28*v + 77*v**2.\nAnswer: 2*v**2 + 209*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 divided by -130?\nAnswer: -251\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -61*a - 16. Calculate s(-4).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/7548 and 15\/8843.\nAnswer: 1803972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28224, -28223, -28222, -28221?\nAnswer: -28220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2750 = 5*a, -3 = -k - 0*k. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/6 + 4*h - 6. Let o(u) = -7*u**2 - 5. Let l(p) = -4*p**2 - 3. Let y(q) = -10*l(q) + 6*o(q). What is c(y(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**26)**11\/((d*d**(-3\/4)\/d)\/d*d*(d\/d**(10\/3))\/d*d*d) assuming d is positive.\nAnswer: d**(3457\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -823, -824, -825, -826, -827, -828?\n\"Answer: -t - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 2035822?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2400)*-2 + sqrt(2400))\/(-1*((-2*sqrt(1152) - sqrt(1152)) + sqrt(1152))).\nAnswer: 25*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j = 54*j - 12. Calculate the remainder when 37*20\/10*10\/j is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30361476, -30361478, -30361492, -30361524, -30361580, -30361666?\n\"Answer: -l**3 + 5*l - 30361480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 8049*s\/5 - 402696\/5.\nAnswer: -3*(s - 2632)*(s - 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebb when four letters picked without replacement from {e: 2, b: 11}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.3, 149, 1 in increasing order.\nAnswer: -0.3, 1, 5\/4, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-8))\/(2\/(-56)). Let l be r\/(-6)*62 - 2. Let o = l - 65. Round o to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 1126, 3304, 7246, 13468?\nAnswer: 22486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 26.64, -3, -0.099?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)\/(-111 + 110) - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1178 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 8*a**2 + 6*a - 9. Let n be d(-7). Put 4, -4, n in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.324 - 0.3. Let c = s + -29.024. Let r = c - -34.2. Round r to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40722 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*4092\/(-837)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-2) + 3 - 119\/42 - -6. Let f = -2.1 + 2. Which is the third smallest value? (a) f (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v\/v**(-4\/3)*v\/(v**(1\/20)\/v)*v*v**(-3\/5)\/v*v)**(-7) assuming v is positive.\nAnswer: v**(-4487\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 20. Let c(q) = -q**2 - 5 - 7*q - 6 + q + 14. Give c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 65 = -115. Let t(w) = w**2 + 10*w - 13. Let b be t(-11). Let k be 6 - (6 - 1 - -1). Sort z, k, b.\nAnswer: b, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*m**3 + 3*m**2 - 1345*m?\nAnswer: 1116*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1383807.1 and 12?\nAnswer: -16605685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 137, 169, 223, 305, 421, 577, 779?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 443*a**2 + 3*a - 3. Let h be m(1). Let w = -261 + h. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*p - 4*t - 53, -5*p + 181 = t. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114) + -2*(1*sqrt(114) - sqrt(114)) - sqrt(114) - sqrt(114)))\/(2*1*sqrt(864)).\nAnswer: -5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**5\/60 - t**4\/24 + 6*t**3 + 22. Let b(x) be the third derivative of h(x). Suppose 0 = -g - 0 - 6. Calculate b(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*m, 0 = m - 3*l - l + 14. Let q be (-4)\/(-14) - 10\/(-14). Differentiate 10*y**4 - 686*y**m + 686*y**2 + q wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692742251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -22.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*q + 33 = 133, -57 = -g - 5*q. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181707?\nAnswer: 3, 37, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209\/4 - 2269\/44. Calculate the common denominator of z and -3*3\/(-8100)*-202.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 c, and 1 j when four letters picked without replacement from {c: 4, a: 2, j: 3, b: 1, u: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 minus 0.0391946?\nAnswer: 0.8808054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.495 + 2.835. Let v = y + -3.1. Let f = -5.23 + v. What is the biggest value in 5, -0.5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 2. Let f be g(0). Suppose -3*z + 6 = 10*q - 6*q, 2*q + z - 2 = 0. Let x(p) = -3*p**3 - p + 1. Let i be x(1). Sort q, i, f in increasing order.\nAnswer: i, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -357. Suppose o = 7*i - 49. What is the greatest common factor of 150 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 47*h**2 + 9*h + 440. Calculate the remainder when 1391 is divided by n(-47).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*w - 10, -21*w + 26*w = -4*h - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1888 and 2360?\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -26) + (-2 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -115, -135, -173, -235?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*c**2 + 4*c + 5709 wrt c?\nAnswer: -52*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -34201815 divided by 15\nAnswer: -2280121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-42)\/10))\/((-1071)\/(-6426)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3023*c - 3028*c + 6054*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876*g**2 - 6*g**3 + 4 - 4 - 2876*g**2.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + l - 3 = 0, m - 54*l + 50*l + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = -18*b - 130. What is the smallest common multiple of 81 and b?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -31. What is the lowest common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a factor of 95110794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(11) + sqrt(11)*-3 - sqrt(11)))\/(sqrt(1440)*1 + sqrt(1440)).\nAnswer: -sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*h + 75, 4*z - 8 = 3*h - 50. Suppose 13*k - 13 = -v + h*k, -4*k - 36 = -4*v. Let a = -2 - -10. Calculate the least common multiple of a and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 3*c - 606. Let u(z) = 2*z**2 + z - 303. Determine -2*d(w) + 5*u(w).\nAnswer: 2*w**2 - w - 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 + 6 + 8 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 4. Let j be m(-2). Let b be (1\/j)\/(7\/182). Suppose -o + 36 = -b. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-44))\/((-61)\/(-488)*-10)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - 21\/(154224\/30889) and 85\/336?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -1407. Is 31 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1791762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 85425.94nm?\nAnswer: 0.008542594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + w**4 + 4)*(w + 2*w - 2*w) + (w + w - w)*(-3*w + w**4 + 3*w) + 4*w - 4*w + w**5 + 2*w**2 - 2*w**2 - w**5.\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 237\nAnswer: -4\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 + 8 - 1986\/2)*-1.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1089*o + 7902*o - 2814*o + 2162*o + 8584*o in the form u + d*o and give d.\nAnswer: 14745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 7) to base 15\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.165+84\nAnswer: 79.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/28 + w**3\/21 - 2*w**2\/7 - 4*w\/7 - 35. Factor p(i).\nAnswer: (i - 2)*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 - 675*q + 1330 = 0.\nAnswer: 2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-3)*(-32265)\/18. Round f to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1 - 3)\/(-2). Let z be h*((-5)\/2)\/5. What is y in z + 1\/5*y**2 + 1\/5*y = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {u: 1, x: 2, n: 2, b: 9}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 16*u + 103794 = 2*j, -3*u = -12. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16444 smaller than 16433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 142 = -2*z + 2*k, 4 = -4*k. Suppose 4*r + 5*w - z = 68, -26 = -2*r + 4*w. Solve -r = -3*u - 0*t + 3*t, 5*u + 2*t = 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 6*d**2 - 6*d + 3. Let y be p(4). What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5139 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 12*c + 11. Let g(f) = -2*f**2 + 13*f + 10. Let v(i) = -2*g(i) + 3*k(i). What is v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.71 + 0.29. Let d = h + -12.9. Which is the nearest to d? (a) -2 (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1101019 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 36, 50, 64, 78, 92?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - -23)\/((-16)\/(-22)) and (-268)\/24 + (-1 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*l - 60*l - 183*l - 19*l.\nAnswer: -488*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 9, n: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*f + 2912 = 812*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 213779741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45422 - -77264. What are the prime factors of a?\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5061440 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -48737029.75 + 63.5\nAnswer: -48736966.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-15)*(-1044)\/(-4988)*(-15)\/(-6).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**8\/840 + 2*s**7\/525 - s**6\/300 - s**2\/2 + 2. Let f(r) be the second derivative of a(r). Determine w so that f(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(11) + sqrt(11) + 2 - (sqrt(110) - (sqrt(110) + (sqrt(110) + (2*sqrt(110) - sqrt(110)) - sqrt(110))) - sqrt(110))\/sqrt(10)))**2.\nAnswer: 144*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*u + 2*z - 12, -3*z + 6 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*i - 2 + 3*i**3 + 7*i - 727*i**2.\nAnswer: 3*i**3 - 727*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 10 + -26 + (2 - (10 - 15)) + -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.812 * 0.6.\nAnswer: 10.0872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3968 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9218808 or -9218807?\nAnswer: -9218808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 496*d + 631 + 1849 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 490 in 24\/7, 1\/5, 2?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9021*f = -9115*f - 345 + 1191 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.97414458 rounded to two decimal places?\nAnswer: -56.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*z + 967, -6*z + 2*z - 973 = x. Let r = z - -514. Let w = r + -34. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -25*w - 1. Let o be u(1). Let t = 18 + o. Let j(p) = -p**2 - 8*p - 1. Let i be j(t). Is -1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1040 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*m + 32. Solve 5 - m = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 690.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/i)**5*i*(i**(-5)\/i)\/i*i**(-1\/4) assuming i is positive.\nAnswer: i**(-355\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 13 = 4*b. Let o be (5\/20)\/(b\/(-8)). Let j be 1\/(1\/(-1)) + 2. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 0*u - u - 3*u**2 + (9 - 9 + 5*u)*(-u + 12*u + 8*u).\nAnswer: 93*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.882?\nAnswer: -2.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18815 + 17245 = 10*m. What are the prime factors of m?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2390\/(-60) + ((-10)\/48)\/(630\/504).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-8 + -8)) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - y = -5, 4*a - 27 + 28 = -3*y. Which is bigger: -2\/877 or a?\nAnswer: -2\/877","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (sqrt(85)*4)\/sqrt(5))**2*-6.\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 12 (b) -1\/4 (c) -1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**5 + 0*h**5 + 3*h**5)*(-25 + 50 + 15) + h**5 + h**5 - 3*h**5.\nAnswer: 119*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - 4*c**3 + 12*c**2 - 32*c\/3.\nAnswer: c*(c - 8)*(c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 307*n = 306*n - 9, 5*a + 45 = 5*n for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18559 - 18561. Sort 2, 3, z, -5, -4 in descending order.\nAnswer: 3, 2, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/57 + -5\/19. What is the closest to -1 in 4, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/2 of a milligram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 1.3, 129, -173, 4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1311*f - 6*f**4 - 1311*f + 12*f**2 wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 27, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7167, -7152, -7137, -7122?\n\"Answer: 15*b - 7182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**20)\/(((f*f*f**(13\/2))\/f)\/f)*f\/f**(-24)*f\/(f\/((f*f*((f\/((f\/((f\/(f*f\/f**26)*f)\/f*f))\/f))\/f)\/f*f*f)\/f)) assuming f is positive.\nAnswer: f**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*j - 78*j + 29*j + 48*j in the form q*j + z and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -9. Let z = -1552 - -1555. Suppose 12*c = -z + j. Solve -m = -3*m - c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from eajufjy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdzyddhddnddnyzddnhh. What is prob of sequence dz?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -11*y + 5900673. Suppose 0 = -7*i + y + 504109. What is i rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6378 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22272)\/(-108) - (-4)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-36)*(-198)\/(-11)*-1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/2)\/(-2)*0\/(-33). Let 16 - c**3 - 34*c + 23*c**2 - 3*c**2 + f*c**3 - c**3 = 0. Calculate c.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 3*d - 4. Let q(w) = 5*w**2 + 6*w + 9. Let s(r) = 3*q(r) + 7*x(r). Let v be s(3). What are the prime factors of (-1 - 2) + 7 - v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:20 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouqytoooo. Give prob of sequence yo.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:08 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101221032102 (base 4) to base 10.\nAnswer: 4625298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13306*w + 18*w**2 - 13306*w - 30 - 2*w**3 in the form x*w + i + b*w**2 + p*w**3 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -50 - 0. Suppose 5 = g + 3*o, -5*g - 3*o = 2*o - d. Suppose 12 = g*l - 2*l. Solve 3*r = -l*k - 7 + 1, 3*k + 4 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 p when four letters picked without replacement from {o: 1, q: 2, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34.1088 * 0.3\nAnswer: -10.23264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182.9 - -183.1. Sort -925, 3\/8, z in descending order.\nAnswer: 3\/8, z, -925","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*x + 7*x + 34. Sort -5, -28, 0, x.\nAnswer: -28, -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48688922?\nAnswer: 2, 24344461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.1. Let p be (-175)\/(-21) + -7 + 1\/(-3). Which is the nearest to q? (a) 0.4 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 1.5. Let i = 1.67 - g. Let z = i + -0.37. What is the second biggest value in 0.3, 1\/2, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6611042*u**5 - 2401479*u - 2?\nAnswer: 132220840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*a - a. Let m = 170575 + -170574. Solve -a = 5*d + m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-30))\/(9495\/135). Let w = i - 1788\/11605. Find the common denominator of 18\/5 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445410299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16196792.4 milliseconds?\nAnswer: 0.187462875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136148953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -925, 2, -9, 0.1, -50\/9, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2079 - -2084. Put y, -41, 2 in ascending order.\nAnswer: -41, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-27) - (-178)\/9. Suppose -v + 6*v = a. Let g = -4 + v. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*n + 5*o, 5*n = -o + 4*o + 5. Let v(b) = 2*b**3 + b**2 - 2*b. Calculate v(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 174136, 169774, 165416, 161062, 156712, 152366?\n\"Answer: 2*d**2 - 4368*d + 178502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -121. Suppose 2*c = 6*c - a. Let g(l) = c*l - 12*l**2 - 18*l**2 + 29*l**2 + 2 - 5*l. Determine g(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, i: 2, r: 2}. What is prob of sequence ir?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 17. List the prime factors of n(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*n**5*q - 4*n**2*q**2 - 15*n*q**2 - 9*q**2 wrt n?\nAnswer: -860*n**3*q - 8*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111111 + 1101111011100000010?\nAnswer: 1101111110000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*i + 1. Sort i, -3, 2.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:04 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2187*y + 32*y**4 + 867*y**2 - 31*y**4 - 68*y**2 + 856 + 279*y**2 + 471*y - 219*y**3 = 0. What is y?\nAnswer: 1, 2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 123*k + 1621. Calculate n(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9475a9 - 1c?\nAnswer: 94758a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*l + 234, 2*l + 2*l - 585 = -5*q. Suppose 4*u = -5*u + q. Calculate the remainder when 30 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2009.6 and -0.01023.\nAnswer: 20.558208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 369 and 144?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 173. Let f = -49 + z. Calculate the highest common divisor of 80 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*l*n**2 + 2*j*l*n + j*n - 49*l**2*n**2 + l**2 - 40*n wrt n?\nAnswer: -4*j*l - 98*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*b**2 - 23552*b + 5232.\nAnswer: 4*(b - 654)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 14*b**2 + 3*b - 97. Calculate d(-15).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1016 + 227581?\nAnswer: 228607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/15)*i*(i**(-1)\/i)\/i*(i**3)**(-3\/38) assuming i is positive.\nAnswer: i**(-1351\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113256 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.50368 days in seconds?\nAnswer: 6350717.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (11 - 24) - (1 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5752, 5874, 5994, 6112, 6228, 6342, 6454?\nAnswer: 6564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -309, -1214, -2713, -4800, -7469, -10714, -14529, -18908?\n\"Answer: s**3 - 303*s**2 - 3*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*p - 5*c + 150, -5*p = 3*c - 38. Let t(s) be the first derivative of -1\/8*s**p - 24 + 1\/18*s**3 + 0*s + 0*s**2. Factor t(k).\nAnswer: -k**2*(3*k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 865 and 7184517.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -50. Suppose 0*f + 5 = -c - f, -o*f = c + 1. Let y(j) = -2*j**2 - 11*j + 7. Give y(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.899 + -0.329. Let r = 1.426 - f. Round r to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 1998?\nAnswer: 1997.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 - 7225136*t\/11 + 6525323777312\/11.\nAnswer: 2*(t - 1806284)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 41950*z - 87990125.\nAnswer: -5*(z - 4195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 838906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = 0, 3*d = -2*f + 20. Suppose 0 = -19*n + 17*n + f. Suppose n*s = -2*y + 149, -3 - 5 = -4*y. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*f + 3 = 0, -52*y - f = -51*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m - 37*m = 35. Let l(n) = n - 21. Let f be l(m). Solve 18*v - 16 = f*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9, -2\/7, 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 30 = 42. Let o(p) = 111*p**3 - k*p**2 - 55*p**3 - 55*p**3 + 6*p + 7. Give o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7744 or -371723\/48?\nAnswer: -7744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*n - 4*g - 81, 4*g + 18 = n. Calculate the remainder when 2697 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.462 - -16.462. Which is the fourth smallest value? (a) -5 (b) -1\/3 (c) f (d) -1\/5 (e) -1.87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 10*r + 11. What is a(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = 5*t - 13, 0 = -2*t - 2*f. Let j(u) = 484*u + 33. Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.066? (a) -5 (b) 3\/7 (c) 7 (d) -0.5 (e) 5 (f) -2599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l - 3*l + (-4*l + 3*l + 0*l)*(2 - 2 + 2) + 0 - l + 0.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243578 + 7286 = -12*y. Suppose 30*q = 23*q + y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -537, -559, -601, -669?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21943, -21877, -21699, -21355, -20791, -19953, -18787, -17239?\n\"Answer: 9*j**3 + 2*j**2 - 3*j - 21951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 2, w: 1, g: 2}. Give prob of sequence mm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by -11?\nAnswer: 127\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -55167 divided by 18389\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 371?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**(-1\/25))\/(h**(2\/5)\/((h\/(h**(-7)*h))\/h)) assuming h is positive.\nAnswer: h**(291\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30173194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + (4 + -11 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -7 - ((-1 - 48 - -3) + -2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y**3 + 2576*y - 2576*y + 9*y**3 - 114*y**3.\nAnswer: -151*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*z - 0*b + 16, -b = z + 1. Suppose -4*t + 29 = 5. Solve 0*h = z*h - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.78 - -0.5\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5368*n**2 - 2071. Let v(m) = 2*m**2. Determine h(v(w)).\nAnswer: 21472*w**4 - 2071","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7)\/21*-179*12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44892 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*v - 15. Let f(o) = -1 - o - o + 0*o**v - o**2 + o. Determine f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 7*g - 27, -29*l = -25*l + 4*g - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.94023 millilitres?\nAnswer: 0.00994023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 373*p - 430*p + 790 = 0, -2*p = 2*s - 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82166 + -57396. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -18*i + 158*i - 1540, 5*d + 44 = 6*i - 3*i + i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -7*a**6\/360 + 11*a**3\/3 + 13. Let w(l) be the third derivative of o(l). Let h(y) = -4*y. Determine h(w(b)).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:05 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2933, 4865, 6817, 8801, 10829?\nAnswer: 12913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iooiiwiowoooooiooiww?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 39 - 99)*(-4 + 4 - 2*f**2).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -7 (c) 0.05 (d) -9 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -39 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -0.5 (c) 1\/7 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1259 - 1259. Solve j = 5*t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 87*d**2 + 6*d - 279. Does 12 divide j(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 5)\/(5\/(-6)). Suppose -v*m = -5*s - 2*m + 8, 5*s = -3*m - 6. Factor s*b + 0 + 2\/7*b**2 + 2\/7*b**3.\nAnswer: 2*b**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i = 4*y - 17, -5*i + 5*y - 40 = 0. Let a(b) = b**2 + 3*b - 1. What is a(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 62*i - 33. What are the prime factors of b(63)?\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 - -169?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0 - 4\/3*q + 4\/3*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28704 - 28694. Let u be (-1 - 1) + -1 + 1. Let m = -26 - -26. Which is the nearest to m? (a) u (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.84?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r)**(13\/4)\/(((((r*(r*r*r\/(r**2\/r))\/r*r)\/r)\/r)\/r*r)\/r**3) assuming r is positive.\nAnswer: r**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 52. Let s be l(18). Let b be s*((2 - 4) + 5)*1. Let h = b + 5. What is the smallest common multiple of 10 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 410213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 1124*o**5\/5 - 23*o**3\/3 - 2*o**2 - 54*o + 9. What is the second derivative of p(c) wrt c?\nAnswer: 26976*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6877 (base 12) in base 9?\nAnswer: 16831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6*i = -242. Calculate the greatest common divisor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwwwwxsxssxsssssxsx. What is prob of picking 1 s and 3 w?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = 5*o, -284*o - 11 = -4*y - 289*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1267.1 - -1258.1. What is the second smallest value in 3, y, -300?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1745802 and -39\/4461494.\nAnswer: 40153446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205957 = 46*x - 630645. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, 4, 9, -14, 1330, -10 in ascending order.\nAnswer: -14, -10, -4, 2\/3, 4, 9, 1330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-seven halves of a meter?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 6 (c) 1865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24336, -24543, -24892, -25377, -25992, -26731, -27588?\nAnswer: -28557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*t = -2, 5*p = t + 4*t. Suppose 4 = 3*g - c, 3*c + 2 = 9*g - 5*g. Solve -p*h - g = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2*x + 17*x**3 - 11*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k. Let v(o) = -34*o**2 + 45*o. Let f(u) = v(u) + 2*z(u). What is the second derivative of f(b) wrt b?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 73*n**3 + 2*n + 1873*n**3 + 0*n**2. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**3 - 207*t**2 + 357*t - 173. Let k(g) = 65*g**3 - 1240*g**2 + 2145*g - 1040. Let c(m) = -6*k(m) + 35*y(m). Factor c(u).\nAnswer: -5*(u - 37)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0 = -4. Suppose -59*j - 1980 = -119*j. What is the least common multiple of j and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -v - 2*j + 102, -10 = -2*j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s + 31. Suppose 0 = -7*x - 64 + 126 - 20. Calculate o(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305448 divided by -3471\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*m**2 - 3*m**2 + 5*m**2)*(0*m - 1 - m + 3*m) to the form p*m + n + j*m**3 + x*m**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(35\/30) - 182. Let j = k - -177. Solve j = 2*t - 3*m - 4, -6 = -4*t + 2*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1877, -4432, -8365, -14366, -23125?\n\"Answer: -115*o**3 + o**2 - 1753*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w**2 + 17 - 19 + 2 - 106*w**2.\nAnswer: -31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 53*l - 177. Let q be c(49). Solve 6*h + 5 = -q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let u(o) = -o**2 - 5*o - 3. Let c be u(y). Suppose 0 = 2*x - 3*d - 31, -5*x - 5*d + 66 = -49. Solve -c*k - x = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -7\/30*p**7 - 3*p**3 + 0*p**6 + 8*p**2 - 1\/30*p**5 + 0*p**4 + 0 - 2*p. Find the third derivative of g(h) wrt h.\nAnswer: -1176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807169631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 2. Let f be w(4). Let k(z) = z**2 + 2*z - 10. Calculate the remainder when 68 is divided by k(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817005.5 millimeters in micrometers?\nAnswer: 817005500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5 + 5026335*v**4 + 10052691*v**3 - 15079011*v**2 - 20105376*v + 20105364 = 0. What is v?\nAnswer: -2, 1, 1675447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*a + 449*a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:09 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4568*b - 1995*b - 3645*b - 7086*b.\nAnswer: -17294*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1 + (-4 - (-14 - 1)). Suppose 6*a = 2*a + 3*k + 552, 0 = -3*a - 3*k + 393. Suppose -4*i = w - a + l, -2*i + 117 = w. List the prime factors of w.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 6*z**2 - 6*z - 1. Let w be o(-4). What is the units digit of (-2 - w) + (3 + -1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g - 2 + 2*g**2 + 0*g**3 - 8*g - 4*g**3 - 10*g to the form d*g**2 + m*g**3 + a + k*g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.119 - 137.\nAnswer: -137.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 702 = -14*b. Calculate the smallest common multiple of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0 + 2*y**2 - 5*y - 2 + 7*y. Calculate the remainder when u(5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - 15. Let x = p + 68. Let d = x - 27.3. Sort -2\/7, -3\/4, d in ascending order.\nAnswer: -3\/4, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 27*f - 16 = 0. Let n(j) = 544*j**f + 453 - 453 - j. Let p(t) = t**2. Determine p(n(u)).\nAnswer: 295936*u**4 - 1088*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/39, 0.022, -0.57 in ascending order.\nAnswer: -0.57, 0.022, 4\/39, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2a200 + -b?\nAnswer: -b2a20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - n - 4*n**3 + 3*n**2 + 3*n**3. Let v(s) = s**3 + 8*s**2 - 9*s - 3. Let t be v(-9). List the prime factors of d(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/5, 1\/4, -15, -786\/17 in decreasing order.\nAnswer: 2\/5, 1\/4, -0.4, -15, -786\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/3411 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8005\/6 + 1356. Find the common denominator of d and (-38)\/16 - (-2 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 79645.88m?\nAnswer: 7964588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -14. Suppose -f*n + 8*n = -420. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*n - 7799, 3*c - 3*n + 2905 = 7579. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*g**4 + 495*g - 740*g**2 + 490*g**3 - 124 + 20*g**4 + 786*g**5 - 787*g**5.\nAnswer: -(g - 1)**4*(g + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u = -26*u - 15. Suppose -2662 = -u*q - 2*h, 0 = -4*q + 6*h - 3*h + 2148. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-2)*1\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 + 5. Suppose 4 = 5*h - 3*p - 30, -2*h + 1 = 3*p. Let s(o) = -6*o**2 + 4. Let r(i) = h*s(i) - 4*w(i). Let d(l) = -5*l**2. Calculate d(r(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 9*j + 5*f = 0, -5*f - 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*h + 24246 = -3723*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2919.9531 months?\nAnswer: 24.3329425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 170180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 374*v**2 + 5*v + 404*v**2 - 776*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -137*z + 126*z. Solve 0 = -6*f + 3*f + z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -7. Let o = -65 + 72. What is the units digit of 1*o*12 - g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.13 (b) 1\/12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -18*i + 261. Let o(v) = v**2 - 9*v + 28. Let y be o(7). Let x be t(y). Solve x*d = 3*d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5823002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1.8, -22, -0.02 in decreasing order.\nAnswer: -0.02, -0.3, -1.8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*v - 9 = 7, 5*v - 5 = 5*l. Suppose 5*u = l*u + 2*f + 28, -5*u = f - 25. What are the prime factors of u\/(-36) + (-194)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, -223, -582, -905, -1180?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + x - 3. Let k be p(-2). Suppose -k*c - 1 + 31 = 0. Solve 2*l = 4*l + c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 63*t**2 - 408*t**2 + t - 1.\nAnswer: -345*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6806, -6805, -6804, -6803?\n\"Answer: p - 6807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -5, -2.9, 0.06 in decreasing order.\nAnswer: 0.2, 0.06, 0, -2.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354 + -163. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -26*a**2 + 27*a**2 - 6 + 5 - 2*a + a**3. Give o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38656928 by -19328464.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104212794 divided by 259.\nAnswer: 402366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 + -119. Solve -26 = 5*l - 2*n - 1, 20 = -4*l + i*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97, 195, 291, 385, 477?\n\"Answer: -f**2 + 101*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*f**2 - 170*f**4 + 186*f**4 + 0*f**6 - 2*f**6 wrt f.\nAnswer: -240*f**3 + 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153341 rounded to three dps?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 - b + 3. Suppose 183*p - 192*p = -63. What is the remainder when o(-3) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145409024 - 0.08331?\nAnswer: -145409024.08331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 78*h**2 - 2.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 20256. Let l be o(0). Let c = l - 405029\/20. What is the common denominator of 85\/16 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74007\/260 + -3740\/13. Calculate the common denominator of -79\/8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.042 + -140.042. Let o = 142 + l. What is the closest to o in -2\/95, 3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562867 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168*((-2085)\/40)\/139.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 543\/39 - (-384)\/(-48)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2 - (-24)\/16. Suppose -5 = -3*w - s*r, 2*w + 0 = -3*r + 3. Let 14\/3*b**2 + 8\/9 + 16\/3*b - 98\/9*b**w = 0. What is b?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55972 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*i**2*m**2 + 153479180*i**2 - 10*i*m**2 + 11293*m**2 wrt m?\nAnswer: -102*i**2*m - 20*i*m + 22586*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 239721*4\nAnswer: 958884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/9, 1, -2.5489 in decreasing order.\nAnswer: 1, 2\/9, -2, -2.5489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 701668 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -589 - -623. Calculate the highest common divisor of 391 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**2 + 393*f - 62. Let h be z(26). Calculate the greatest common factor of 7376 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 153*b + 4 - 7 + 2 to the form u + c*b and give c.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7444646 - 0.866\nAnswer: -7444646.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5297 + -0.0297. Let o = -0.7 - -0.2. Let g = -0.49 + 0.69. What is the nearest to 2\/11 in o, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:31 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*r = 703 - 699, 5*r - 23 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let s(l) = -l**3 - l**2 - l - 1. Let x(o) = 2*o**3 + 7*o**2. Let y(d) = -3*s(d) - x(d). Let w be y(3). Sort w, q, 4 in descending order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 121.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-88)\/24)\/(18\/(-135)). Solve v*y = -4*c + 3, 4 = -5*c + 5*y + 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 616 in 0.4, 82\/21, 99, 1\/4, 2\/3?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b - 48*q = -52*q - 124, 0 = 5*b - 2*q + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257552 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-995)*-587 + 909\/(-1515). Let m be ((-12)\/3 - -6) + -1. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*j - 7 = 0, 8*j = -4*c + 4*j - 4. Let m = -5 + c. Let f be 2 - 1*(-2 - m). Is 1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsvb when four letters picked without replacement from lvlbblblvvbbbbslvb.\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 36*v**2 - 3*v + 1. Is 20 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + 3.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -4. Let s = 8.2 + -8. Sort y, s, 1\/3 in descending order.\nAnswer: 1\/3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8024*r - 12 + 8072*r + 11)*(3 + 3 - 5).\nAnswer: 48*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 36*n**2 - n. Let i be f(-1). What is the third derivative of -i*r**3 + 0 - 126*r**2 + 83*r**2 + 0 wrt r?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2181 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let u be (-38)\/(-6) - i\/6. Suppose -u*a + 2*a + 4 = 0. Sort -2, -4, a in decreasing order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*o - 3*o - 21 = 0, 3*m - 3*o + 9 = 0. Let j(c) = 2*c**2 + 7*c - 8. Is 11 a factor of j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 13*x**2 + 3*x + 8. List the prime factors of j(13).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0 + 4. Suppose 0 = l*s - 0*s - 658. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -100, -143, -182?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 81*y**2 + 22 + 17 - 72*y**2 + 224*y**2 - 74*y**2.\nAnswer: -3*y**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 7*w**2 - 79*w - 9. Give z(-9).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 + 3*h**2)*(2 + 4*h**3 - 2) - 47*h**2 + 47*h**2 - 18*h**5 + 5*h**5 + h**5 - 4*h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 54*x - 126 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 38*x + 41*x + 9 - 80*x. Let b(i) = 2*i - 14. What is 5*b(t) + 8*v(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 368*p**2 - 367*p + 3. What is b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*l = 10, 2*l - 5*l = -5*f + 6. Let c = -0.01 - -0.51. Let m = -117 - -121. What is the nearest to f in -0.8, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71084 is divided by 650?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + (174 - 110) + -40.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 2*b - 2. Let x(c) = 3*c**2 - c - 3. Let u(n) = -4*g(n) + 3*x(n). Give u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*r + 3*r. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 11*w**2 - 9*w + 46. Let l be g(-12). Suppose -290 = l*p - 39*p. Solve -r + 5 = p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose o - 5 = -x. What is the second derivative of 0*b + 11*b**x - 13*b**3 + b wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 14. Let x be r(-9). Is 2\/(-5) + 447\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 12 + 12. Let s = -5 - -3. Let z be ((s - -2)\/(-1))\/(-2). Solve -c - 2*h + z*h = -b, 5*c - 2*h + 18 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1161 - 874. Let n(j) = -99*j + b*j + 2 - 92*j - 95*j. Let q = -3 - -3. Give n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57292 in -3, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z**3 - z. Let j be q(-1). Let c = -23 - j. Suppose -c*d + 5*d = 2193. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 49893 = -6*a - 2*l, 83155 = 5*a - 2*l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3628*g = 4557*g + 3716 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.36 + -12.36. Let c = 22 + m. Sort -6\/7, -1\/5, c in descending order.\nAnswer: c, -1\/5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 21606.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - a - a + a. List the prime factors of f(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.27.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(3 - 0) + 2555367\/99. Let b = 25817 - z. Find the common denominator of -4\/21 and b.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 707 and 2320423.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -89*c + 191. Let p be n(2). Solve f - 8 = 5*y, -f + p*y = 11*y - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 18, -2\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90 from 0.1512911.\nAnswer: -89.8487089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36291, -72618, -108947, -145278?\n\"Answer: -w**2 - 36324*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 12. What is the second derivative of -d*o + 262*o**5 - 239*o**5 - 2*o wrt o?\nAnswer: 460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(36)\/sqrt(4)) + 2)*2 - (sqrt(187) + -3*(1*sqrt(187) - sqrt(187)))\/(sqrt(11) - (sqrt(176) - (sqrt(176) - 1*sqrt(176)) - sqrt(11))).\nAnswer: 4 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -741*c**3 + 1539*c**3 - 724*c**3 + (-c - 2*c**2 + c)*(2*c - 1 + 1) - 2*c**3 + c + c + 0*c as g*c + n*c**3 + u*c**2 + p and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 401533, 1606131, 3613801, 6424543, 10038357, 14455243, 19675201?\n\"Answer: 401536*w**2 - 10*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -31*w + 828. Let j(v) = -v**3 + 17*v**2 + 17*v + 22. Let c be j(w). Solve -2*u = 2*u - c*k + 32, -3*u - 27 = -4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -0.9, 0.8, 10, -0.5 in decreasing order.\nAnswer: 10, 0.8, -0.5, -0.9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooooddooodooodood.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/4308582 and 61\/91902.\nAnswer: 73245894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u + 5*o - 40, -4*u - o + 26 = 0. Suppose -4*r + u = -14. Solve 3*a - 10 = r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/7))\/i**(4\/7))\/((i\/(i*i**(-8)*i))\/(i\/(i**(-2\/7)\/i))) assuming i is positive.\nAnswer: i**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-36)\/32 - (-2)\/(-16). Let k = -1.06 - -0.06. Let x = k - -1.1. Put x, y, 3\/4 in descending order.\nAnswer: 3\/4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k + 47*k - 290 = 78*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369.01629 minus 4?\nAnswer: -1373.01629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2632 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -16.6. Let y = -1.47 - p. Let h = 3.07 + y. What is the third biggest value in 0.5, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/11, 23, -8\/419 in decreasing order.\nAnswer: 23, -8\/419, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143807092 divided by -40612.\nAnswer: -3541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -723, -26, -5812?\nAnswer: -5812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -996910000 to the nearest 1000000.\nAnswer: -997000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/279 < -27\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3.6 (b) -2\/5 (c) -2\/433 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -711.0205 + 0.0205. Let c = -710.98881 - b. What is c rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 5*g**2 - 8. Let d(s) = 4*s**3 + 12*s**2 + 18. Let l(i) = -9*a(i) - 4*d(i). Suppose 0 = -2*y - 3 + 9. What is the tens digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -871, -852, -803, -718, -591, -416, -187?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -181 + 24?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 69372255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 + -283 + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -1 - (14 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 216 - 206 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 463 = 4*t - 2, -2*t = -2*c + 238. Suppose -2*v = 3*u + 324, -2*u - 3*u - 810 = 5*v. Let s = t - v. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 4 - 6 + 5 + (1 - 5 + 1)*(0*z + 4*z - 5*z))*(-z**2 + 2*z**2 - 4*z**2) in the form r + n*z + y*z**3 + b*z**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 8*n + 2 - 3 + 4. Let b be r(-8). Differentiate 4 - q**b + 0*q**3 + 2 - 3 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3279.672 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = v. Calculate the greatest common factor of 30 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 60299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 4, p: 2, k: 1, j: 3}. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y, -2*p + 0*y = y - 100. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2290 = 5*l, -3*b - 933 = -l - l. Suppose 3*a + 0*a = l. Suppose a = 3*t - 6. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7108*s + 1093. Give c(0).\nAnswer: 1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 585312310663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112862271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1b90?\nAnswer: 1b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -5. Let k(h) = h**2 + 1. Let d(f) = 12*f**2 + 6. Let g(m) = j*d(m) - 6*k(m). Let w(l) = 2*l**2. Determine g(w(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3189221*s**4 - 138622*s**2?\nAnswer: -76541304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198969 - 38142. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 27. Suppose 0 = -0*f - f - 2*d + 8, 4*f + 2*d - x = 0. Find the first derivative of 3 + 17*s**4 - 15*s**f - 4 wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpalyylyyyayylul. Give prob of sequence ay.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*l = -57, -2*s - 39497*l + 43 = -39500*l for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 7341 - 7340 = -3*f, -3*t - 3 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(sqrt(153) - -1*sqrt(153)) - sqrt(153)))\/((sqrt(9) + (sqrt(81)*2 - sqrt(81)))*4).\nAnswer: -45*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-10)\/320*12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38199*q - 38187*q + 5 - q**2 + 1 to the form o + s*q + b*q**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/45*-21*(-5)\/(-140).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 39*g + 129. Let b be w(-42). Find the third derivative of 12*a**2 - 19*a**b + 7*a**3 - 3*a**2 + 57*a**3 + 10*a**3 - 3*a**4 + 2 wrt a.\nAnswer: -72*a + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2344206 divided by 33974.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 14)*(-2)\/4. Suppose m = 4 - 2. What are the prime factors of (-3 - r)\/(m\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 0*p = 0. Suppose p = -2*s - s - x + 44, -100 = -5*s + 5*x. Suppose s*q - 20*q = -5444. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11808 by 18.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + l - 15271 = 5171, -5*p + 3*l = -25544. List the prime factors of p.\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 17, 25?\n\"Answer: 8*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4 + 6664*y**3 + 1914022*y**2 + 7576184*y + 7549560 = 0.\nAnswer: -3015, -313, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.5. Let m = -12650 - -12651. What is the second biggest value in m, 3\/17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 39. Suppose -2*l = 4*o - 338, -r*l = -5*o - 2*l + 405. Calculate the remainder when o is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r**2 + 18 - 18 + (2 - 4 - 1)*(-5*r**2 + 44*r**2 - 5*r**2) to k + y*r**2 + m*r and give y.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 178884155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8651 = 4*i, 32*u = -2*i + 35*u + 4323. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -2. Let i(q) = -q**3 - 3*q**2 + 2*q + 1. Let y be i(m). Let z = -9 - y. Put 5, 0.5, z in ascending order.\nAnswer: z, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21*(-29204)\/108472\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 0*n**3 + 38*n + 0*n**2 + 5 + 3*n**3 - 3*n**2 - 46*n as b + h*n**3 + a*n**2 + d*n and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10687 - 10685.831. Is -0.05 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101110010111?\nAnswer: 101110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/2)\/((-29)\/(-725)*25*3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 194137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22742 and 733056.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -323 - -7. Let c = a - -565. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 106\nAnswer: -71\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.914403423 rounded to 2 decimal places?\nAnswer: -4.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 44454.\nAnswer: 133362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (21 - (44 + -21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y + y = 235. Which is smaller: 27\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) -2\/5 (d) -5.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983848 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - t + 0)*(-2*t**2 - 1 + 1) - 2*t**2 + t**3 + 2*t**2 - 288*t**3 + 641*t - 641*t to the form j*t + a + q*t**2 + i*t**3 and give i.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**2 - z. Suppose -t = 4*g - 52, 0*g + 2*t = 3*g - 39. Suppose 3 = 5*j + g. Let v = j + 3. Determine n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 + t - 4. Give n(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 5*c + 2*c)*(-2 + 2 + 2)*(-2*c**4 + 6 - 6).\nAnswer: -40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/9 (b) 0.111 (c) -0.0268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*r + 2*r - 4084 + 4059, -20 = -5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*3\/18)\/((-33)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**8\/560 + n**7\/175 - n**5\/50 - n**4\/40 + 5*n**2\/2 - 5*n. Let f(q) be the first derivative of v(q). Factor f(o).\nAnswer: 3*o*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 2*f + 131. Let v be t(-10). Let j(z) = 3 + 6 - v + z + 2. Let l(y) be the third derivative of -13*y**4\/24 - y**2. Determine l(j(d)).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 10:44 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11414 = 2*l, 5713 = 435*o - 434*o - 5*l. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 21 (c) 6\/7 (d) 2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 x when four letters picked without replacement from xymxyyyxmmmmmyxmxxx?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2672.723 nanoseconds?\nAnswer: 2.672723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2907627 and 6349990?\nAnswer: 552449130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*t + 138648 = 142*t. Let u = t + -901267\/39. What is the common denominator of u and -89\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4109968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2747 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923589 is divided by 2463.\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-8 - -11) - 1 - (-30 + 40).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77484, -155018, -232602, -310236, -387920, -465654, -543438?\nAnswer: -621272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.952 + 0.048. Let k = o + -111. Which is the nearest to 3\/7? (a) 0.1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 17*k - 10. Let z be i(8). Let h be (-4)\/z + 624\/108. Solve 3*t = -4*a + h, 4*a + t - 2 + 0 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 (base 14) to base 15\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/14*(25 - 66) + 18\/(-21). What is the highest common divisor of b and 3255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 + 1751088*m**2 + 10506609*m + 15759954 = 0.\nAnswer: -3, 583702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611 is divided by 281.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*k = -1851*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from zbziiiiiuiiisizzssi?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**3 + 9*d**3 + 16*d**3 + 2)*(3 + 4 - 5) to the form n*d**3 + j*d + r + a*d**2 and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -136*s**3 + s**2 - 19 + 7 + 62*s - 13*s**2. Let x(o) = -2*o**2 - o - 2. Let r(k) = n(k) - 6*x(k). Find the second derivative of r(l) wrt l.\nAnswer: -816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -47, 1.5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03428185 rounded to four dps?\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131044.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -33?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 910, 3604, 8088, 14362, 22426?\n\"Answer: 895*k**2 + 9*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8901 is divided by 530.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -45, -81, -137, -219?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**3 + 2*m**2 + 5*m - 6. Let t(j) = 7*j**3 - j**2 - 6*j + 6. Suppose 4*h - 24 = -0*h. Let i(d) = h*a(d) + 5*t(d). List the prime factors of i(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.7788295 to 0 decimal places.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8568399 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 302 = 1471. Let u = 1222 - i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 10. Let m = 9 - 6. Find the third derivative of q**2 + q**5 - m*q**2 + r*q**5 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 - -328. Calculate the highest common factor of f and 1197.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 70, -3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - 2674.558?\nAnswer: -2725.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2a65a0a (base 11) to base 6\nAnswer: 304302321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(12\/13)\/((o*o**(-22\/7))\/o) assuming o is positive.\nAnswer: o**(370\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1340*w**4 - 135*w**3 - 4245*w**4 - 4814*w**2 + 135*w**3 - 2023*w**4 wrt w?\nAnswer: -118272*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*v + 339*v - 9282 = 844*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Suppose 3*u + 17 = 5*v, 3*v - 7 = 4*u + u. Let n(k) = 1 - 5 - k + v. Determine n(j(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5052.96376 rounded to one dp?\nAnswer: -5053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -57456.786 to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*s - 133*s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 2. Let w = 57 + -38. Suppose w = 2*u - 23. Suppose -2*g + 3*z = 1 - 23, -g + u = -4*z. Give f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -a - 3*x + 25, -4*a - 2*x + 46 = 0. Let 5*z**5 - z**3 + 5*z**2 + 6*z**3 - a*z**3 - 5*z**4 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from uosssuhuuu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**8\/112 + 17*q**7\/35 + 61*q**6\/20 + 14*q**5\/5 - 123*q**4\/8 - 45*q**3 - 54*q**2. Determine x, given that w(x) = 0.\nAnswer: -30, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 138 = -18*r + 55*r. Let c(d) be the second derivative of 0 - 14\/3*d**3 - 8\/3*d**4 - 30*d + 0*d**r. What is the second derivative of c(g) wrt g?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m**2 + 23*m - 4. Let o be z(-3). Solve n - 4*n = 6, 0 = -5*s - 3*n - o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/4 - 320*y**3 + y**2\/2 - 229*y - 1355. What is the second derivative of t(f) wrt f?\nAnswer: -6*f - 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13095\/(-675))\/((-2)\/6070) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtaawtijaiai. Give prob of sequence jtaa.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/4)\/((-36)\/(-24))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**15\/l)*l*l**(1\/16))**(-32))**(-1\/18))**40 assuming l is positive.\nAnswer: l**(-7640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 4. Let s be l(2). Let b(w) be the third derivative of -3*w**2 + 1\/8*w**4 + 0*w - 1\/6*w**3 - 1\/60*w**5 + 0 + 1\/120*w**6. What is b(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-6\/13))**17)**23)**(7\/4))**(-2\/67) assuming k is positive.\nAnswer: k**(8211\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (6 + -5)\/((-5)\/(-25)). Let a be -1 - (-10)\/2*12. Suppose 5*y = -3*v + 88, 2*y = 4*v - 3*y - a. What is the highest common divisor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 199 and 47320409?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 117201787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.008 - -3.708. Let r = -0.7 + c. Let h = 1.037 + -0.037. Sort r, h, 0.2 in increasing order.\nAnswer: 0.2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*u + 5400 = -465*u - 352*u for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -967*q**4 - 44*q - 6?\nAnswer: -11604*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8430.\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13*o**3 - 3*o**2 - o - 4. Let m(l) = -25*l**3 - 6*l**2 - 2*l - 7. Determine -4*m(v) + 7*t(v).\nAnswer: 9*v**3 + 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -623 divided by 89?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-4*o + 4*o + o**5) + (2*o**4 - o**4 - 4*o**4)*(-24*o - 6*o + 8*o + (-2 + 1 - 1)*(-1 + 1 + 3*o)).\nAnswer: 82*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236.98 + 227. Let h = -10 - j. Let u = -0.52 - h. Which is the closest to 0.3? (a) u (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, j: 6}. Give prob of picking 4 j.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064609 to four dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -85*v - 175. Let f(t) = 9*t + 20. Let b(x) = -35*f(x) - 4*w(x). Let u(r) = -r. Determine u(b(o)).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011001110010 (base 2) in base 14?\nAnswer: 6802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/(35\/(5250\/(-20)))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 35*v - 15. Let n(f) = 12*f - 5. Let p(s) = -17*n(s) + 6*t(s). Differentiate p(q) with respect to q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 6*c + 6. Suppose -3*k + 15 = -0. Let u be n(k). Is 43\/(1\/u*-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 118218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*d**2*x + 5*d**2 - 2*d*x + 145374*d - 6022751*x + 27 wrt d?\nAnswer: -248*d*x + 10*d - 2*x + 145374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -282 + 0?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 7*l + 36. Suppose 0 = 2*z + z - l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 + 277.1. Let k = 10.7 - f. Which is the nearest to 0? (a) -1\/2 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2532?\nAnswer: -2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/840 + 5*g**4\/24 + g**3\/3 + 2*g**2. Let u(d) be the first derivative of w(d). Differentiate u(b) wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 159 = -7*i. Let m be (-7)\/(7\/i)*3. Let h = m + -63. Solve h*y + y = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 95. Let g = -36 - l. Let p = g - 29.00049. Round p to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-1*sqrt(2299) - sqrt(2299))**2 + (-5*(sqrt(2299) + (sqrt(2299) - (-1 + sqrt(2299) + sqrt(2299)*-1))))**2 + 1.\nAnswer: 1100*sqrt(19) + 248318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2412, -2536, -2748, -3054, -3460, -3972, -4596, -5338?\n\"Answer: -j**3 - 38*j**2 - 3*j - 2370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 5*l. Let o(w) = -w**2 + 6*w. Let y(k) = k**2 + k + 7. Let h be y(0). Let z(j) = h*n(j) + 6*o(j). Suppose z(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:04 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r + 8. Let d be (-3)\/((-9)\/(-33)) - 1. Let z = r - d. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2174, -3263, -4466, -5843, -7454?\nAnswer: -9359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**3 + 4*r**2 + r + 4. Let l(d) = -8*d**3 - 5*d**2 - d - 3. Calculate 2*l(s) + 3*x(s).\nAnswer: 2*s**3 + 2*s**2 + s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 457301105 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 54*f - 159. Calculate x(57).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388*p = 1386*p + 648. Is 81 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/17325 and -47\/7854?\nAnswer: 589050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-7)*x*x**(4\/15)*x)**(5\/3))**8)**(-42) assuming x is positive.\nAnswer: x**(6272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 3, 2367, 36, -3 in decreasing order.\nAnswer: 2367, 36, 9, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.09 - 2.7. Let v = 189.9 - 84.8. Let o = v - 105. What is the biggest value in x, 4\/3, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2587 or -2588?\nAnswer: -2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131.15 + 131.136. Put z, -6.5, 0.2 in descending order.\nAnswer: 0.2, z, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 16 = -0*c. Suppose -n - 12 = -5*n, -2*s = -4*n - c. Suppose 4 = -2*l + 4*o, -l + 2*o = -3*l + s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/74)\/((-132)\/308)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 31 - 32 + (-2 + 2 + 1)*(-3 + 3 + 2) - 4 + 7 + 6)*(7*x**4 - 3*x**4 + 8*x**4) to the form i*x**4 + b + d*x**2 + g*x**3 + q*x and give i.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from {q: 3, b: 1, k: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 364114262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -711*k = -703*k. Let f(w) be the first derivative of -4*w**2 + 0*w - 1\/2*w**6 + k*w**3 + 0*w**4 + 0*w**5 + 6. Find the second derivative of f(i) wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, 5, 29, 73, 143, 245?\n\"Answer: p**3 + p**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24524 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 248161531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*w - 6*w - 15*w.\nAnswer: -304*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**4 + 3*k + 16. Let j(q) = -481*q**4 - 143*q - 767. Let d(l) = 6*j(l) + 286*p(l). What is the derivative of d(v) wrt v?\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52325119 - 207705119. What is p rounded to the nearest 1000000?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x + 1. Suppose h - 1 = -2*h + 2*q, -x*q + 28 = 4*h. Solve -3*s = -i + h, -5*i + 0*s = -s - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9765\/3969 + (-1)\/(-9) + 6. Which is the nearest to -10? (a) 1\/5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 294\/(2 + 5). Suppose 48*z = l*z + 80. Calculate the highest common factor of z and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 285*q**3 - 3*q - 1. Let u(f) = -2*f**3 - f. Give o(i) - 3*u(i).\nAnswer: 291*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*r - 605709 = 335*r. What are the prime factors of r?\nAnswer: 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 9. Let f be w(9). Suppose 2*p - 2082 = -f*p. Let c be 2\/8 + p\/(-4). What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -10, 2 in increasing order.\nAnswer: -10, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -61*g + 4. Let t(p) = 11*p**2 - 16377. What is a(t(z))?\nAnswer: -671*z**2 + 999001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108242081 is divided by 18635.\nAnswer: 18631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35480*u**4 + 2903*u**2.\nAnswer: 851520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, -8\/3, -1\/4, -3\/2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 + 5*x + 4. Let o be q(7). Suppose -4*f - 2*r = 70, -4*f - 103 = -88*r + 93*r. Is f at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -31183*t + 31526014. Calculate j(1011).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 158160?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.4 - -5.8. Let r = g + -0.4. Let b = r - -16.0028. Round b to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728*m + 890*m - 4518180 = 0. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1451\/9 + 161. What is the fourth biggest value in -2\/5, 2, l, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 391b174?\nAnswer: -391b179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 6*x - 3. Let o be n(7). Let q be -60*(-176)\/84*(-49)\/(-70). Is q bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*36\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3\/(-12)*2). Let i(j) be the first derivative of 0*j + 4\/9*j**3 - 1\/3*j**m + 1 - 1\/6*j**4. Factor i(z).\nAnswer: -2*z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -102 (c) -1\/3 (d) -0.06 (e) -1 (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -397179 (base 10) in base 2?\nAnswer: -1100000111101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + f + 0*f + 3*f + 0 + 0 + (-3 + 3 - 2*f)*(-4 + 4 + 1) - 4373 + 4373 - 307*f.\nAnswer: -304*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, -1\/5, -3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775312 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/15 + -2\/3. Let p(h) = -h**3 + 7*h**2 + h - 7. Let m be p(7). Are s and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2186464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*y = -80, -2*z = -3*y - 0*y - 32. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cncvomn. What is prob of sequence vm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**3 - 2460794*u**2 - 10670891?\nAnswer: -6*u**2 - 4921588*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 2, p: 1, l: 3}. Give prob of sequence lzpj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from knhkpapapnkaaaaak?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 0 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:25 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157264843 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 45 = 3*p - p, -5*p = -2*l - 3. Is 1 + 8 + -8 + l*671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3493.083 - -3491. What is o rounded to two decimal places?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 3*g + 19*n - 19784, -5*g + 32964 = -n. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z**4)*(4 + 2 - 4) + (2*z - 16 + 16)*(-121*z + 48*z**3 + 121*z).\nAnswer: 94*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -70, -1\/4, -1?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 1. Let u = -40.00004 + c. What is u rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggmmg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -468, -534, -632, -768, -948, -1178?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77503609 and 10821.\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8505 (base 9) to base 5\nAnswer: -144432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6403 and 1558.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -15318.\nAnswer: -168498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Differentiate 0 + 3*i**4 + 0 - 6*i**h - 4 wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n, -5*a + 437 = 5*n - 4083. Let g = a - 893. Is 0.37 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3855731.6 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 17) + (4 - 0 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17507557*o**3 - 52892*o**2 - 125 wrt o?\nAnswer: 105045342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1884\/455681 + -673739452493\/13670430. Let f = -49290 - b. Find the common denominator of -23\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30)\/(-4)*(81821\/85 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - 0.11. Let l = -155 - -80. Let f = l + 75.1. What is the third smallest value in -1.2, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*j**3 - 24\/5*j + 0 - 18\/5*j**2.\nAnswer: -3*j*(j + 2)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001570226853 to six dps.\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5002098*l - 13623031 with respect to l.\nAnswer: -5002098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/21 - 134*p**4\/21 - 250*p**3\/7 - 1090*p**2\/21 + 512*p\/21 + 488\/7 = 0. What is p?\nAnswer: -61, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2728\/(-2046)*30\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 28) + 83 + (-2 + (-4 - -3) - -9).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10385914585\/459 - -22627254. Let y = 427\/51 + v. Calculate the common denominator of 35\/24 and y.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63312*r**5 + 19*r**2 + 37*r + 8?\nAnswer: -3798720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.4027 + 0.0027. Let f = -42 - i. What is the third biggest value in -31\/2, f, 2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - o - 2. Let u be c(-1). Solve -12 = -u*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116205.315 + -1.4?\nAnswer: -116206.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -248\/1340233?\nAnswer: -248\/1340233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/3, -3\/35, 3\/5, 5.\nAnswer: -3\/35, 0, 3\/5, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 130\/(-54)*-3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 28 - (4 - 28 - -20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + b + 54018 + 10331 = 0, 32185 = d - 4*b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 88.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 - 219*c - 70278. Determine b(-108).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -328, -2, -4, 11, 15 in decreasing order.\nAnswer: 15, 11, 3, -1, -2, -4, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Let n = 547\/6 - 250\/3. What is the common denominator of 1\/(21\/(-87)) - m and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*s - 129*s - 123*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 4 + 6 - 4)*((-4*x**2 - 2*x**2 + 5*x**2)*(4*x - 2*x - x) + x**3 - x**3 + 2*x**3).\nAnswer: 3*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:29 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-5) - 28\/(-70). Let m = -5 - f. Which is the nearest to -0.1? (a) m (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 12. Let f(y) = y**3 - 3*y**2 + 2. Let p be f(1). Suppose z*r + p*h - 132 = -5*h, -20 = 5*h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107\/5*h**3 + 106\/5 + 263\/5*h + 48\/5*h**2 + 2\/5*h**4 = 0.\nAnswer: -1, -1\/2, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 11*w**2 - 9*w - 6. Let f be z(10). Let k be f\/(4 + (-46)\/12). Let r = k + 11. What is the remainder when r is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**3\/11 - 486*u**2\/11 + 39366*u\/11 + 1024. Factor y(q).\nAnswer: 6*(q - 81)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 * -35171\nAnswer: 144201.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - 16*m - 9*m)*(97 - 13 + 7)*(-3 + 1 + 3) to t + p*m and give p.\nAnswer: -2548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.78 - -1.3. Let i = o - 0.02. Which is the smallest value? (a) i (b) 3\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055613 minus 2?\nAnswer: -2.055613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2128 + 2018. Put 5, o, -0.2 in descending order.\nAnswer: 5, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0892845 weeks to seconds.\nAnswer: 53999.2656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 30?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/6 - 752*v**2\/3 - 376922*v\/3 - 20987096 = 0 for v.\nAnswer: -516, -494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 57*x**4 + 5*x**3 + 23*x**2. Let s(b) = b**4 + b**3. Let y(f) = -5*s(f) + z(f). Find the third derivative of y(k) wrt k.\nAnswer: 1248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 362 + -361.9999125. What is z rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**(6\/5)*b)\/b*b))\/b)\/b)\/(b*b*b\/((b\/(b*b\/b**(5\/4)))\/b)) assuming b is positive.\nAnswer: b**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 - 8518*y**2 + 131*y - 22?\nAnswer: 24*y**2 - 17036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -7 (b) -4.8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -85.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 10\/(-75) - 489\/45. Which is smaller: -59\/5 or h?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 901848?\nAnswer: 9920328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.538 + 1.57. Let g = p + -0.032. Let t be -3*2\/(-3) + 1. Are g and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 3738.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence led when three letters picked without replacement from eydllllly.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5959, 5957, 5955, 5953, 5951?\nAnswer: 5949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (15 + -40 + 11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3027 + 7536?\nAnswer: 12565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -335307 + -5?\nAnswer: -335313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.01 + 0.01. Let z be 2\/15 + 2\/3. Let s = -303 - -300. What is the second smallest value in y, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-47)\/(-9) - (-2)\/(-9). Suppose 0 = -0*y - i*y + 35. Let z = -11 + y. What is the second smallest value in 0.1, z, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Suppose -35 = 2*m - 7*m. Suppose -l = 9*l - 1790. Let g(b) = -l + 179 + m*b. Give q(g(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 22*w. Let i(y) = y**4 - 293*y**3 + 2253*y**2 - 132*y. Let t(g) = i(g) - 6*p(g). What is the third derivative of t(j) wrt j?\nAnswer: 24*j - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3770*l**2 + 69*l - 457. Let m be h(23). What is m rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (1 - -1)) + 2 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 21 + 42*u - 47 - 11 with respect to u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/30 + 7*b**4\/8 - b**3 - 44*b**2 + 2. Let a be p(-12). What is the greatest common divisor of 390 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232, -271, -1108, -2279?\n\"Answer: -167*j**2 - 2*j + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1484 and -89\/22876.\nAnswer: 1212428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**3*g**3 + 2*d**3 - 7*d**2*g - d + 3*g**3 - 91*g wrt d?\nAnswer: -36*d*g**3 + 12*d - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 4, n: 3, p: 1}. Give prob of picking 3 e.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:31 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 153403 = 4*m - 13357, -i = m - 41690. Round m to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = 30*u - 6*u. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 3, 108\/5, -0.2 in ascending order.\nAnswer: -1, -0.2, 3, 5, 108\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*(-3)\/36 - 2\/4. What is the nearest to f in -0.3, 4\/3, -0.2, -0.21?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8 - 1 - 4 + 17*r + 15. Let i(k) = 34*k + 6. Let z(g) = -5*b(g) + 2*i(g). Let d(s) = s**2. Give d(z(v)).\nAnswer: 289*v**2 - 68*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11018590 and 2640?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6523580422 minus 55?\nAnswer: 6523580367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.02682 + 0.02682. Which is the third biggest value? (a) h (b) 2.012 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/15)\/10*(-3)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 525 and 12915.\nAnswer: 64575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 74, -1478136 in descending order.\nAnswer: 74, 0.4, -1478136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 820 = -136. Let r = -113 + n. Calculate the remainder when 173 is divided by r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -367, -5.\nAnswer: -367, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10, 3*q - 61 - 77 = -3*w. Let m = -18 + q. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (12 - -4) + 5 + 1 - 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-4)\/24*-4*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207039055 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -223*m**5\/5 - 48*m + 76. Differentiate q(g) wrt g.\nAnswer: -892*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 - 29*k - 10*k + 0. What are the prime factors of a(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 60*a**2 - 43*a + 39. What are the prime factors of t(63)?\nAnswer: 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*m - 6, 3*h = 5*h - 4*m - 6. Suppose -h*r + 46 = -26. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -0.4. Let d = 735 + -735.5. Put d, x, 0.1, -0.4 in ascending order.\nAnswer: x, d, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13. What is the smallest value in -3\/4, 4, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = p + 8*y, 5*p + 4*y - 5 = 0. What is the closest to -0.1 in 28, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n - 2*n - 3*n)*(n - n + n**2) + 56*n - 56*n + 12*n**3)*(-2*n**2 + 4*n**2 + n**2).\nAnswer: 30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/423? (a) -2 (b) 2 (c) 0 (d) -3\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 a factor of 144758834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 8. Let i(a) = 2*a + 10. Let r(v) = -4*i(v) - 5*o(v). Let s(j) = -j**3 - 3*j**2 - 3*j. Let k be s(-2). Let y(g) = 2 - 2 + 2*g**k. Give y(r(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k**5 + 0*k + 0*k**4 + 61\/6*k**3 + 31 - 2*k**2 + 11\/40*k**6. Differentiate g(p) wrt p.\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-8))\/((-1)\/2). Suppose t*j = -0*j + 340. Suppose -3*u = -109 - j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 - 4108. Let m(d) = -2*d**3 - 2*d**2 - 4109. Let g(t) = 2*m(t) - 3*x(t). Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 8*k**5\/5 + 275*k**4\/2 + 4186*k**3 + 47081*k**2 - 24334*k + 186. Factor p(d).\nAnswer: 2*(d + 23)**3*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 2*j**3 - 83*j**2 + 83*j**2 as i*j**2 + n*j**3 + f + x*j and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-400)\/120)\/((-10)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 + (-3 - -5 - (4 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 43. Calculate the common denominator of -1 - u\/33 - -3 and -101\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1862 and 2646.\nAnswer: 50274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4 = 4*m, -14*i + 13 = -3*m - 15*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = z, -4*z + 8 = -a - 1. Let g(n) = -n**3 + 5*n**2 - 3*n - 4. What is the units digit of g(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-57)\/(-95) + (-44)\/(-10) - -22286 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.668 - -0.168. Let k = -6.2 - -6. Which is the smallest value? (a) p (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -4, -3, 18, -23 in decreasing order.\nAnswer: 116, 18, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 4135*q.\nAnswer: 5*q*(q + 827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110885 or 110882?\nAnswer: 110882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 4409?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.066, -50, 0, 0.3, -1\/4 in decreasing order.\nAnswer: 0.3, 0.066, 0, -1\/4, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -94. Let y = -2 - -1. Which is the nearest to 0.1? (a) y (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 6*s. Does 4 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 18 = -62*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2815*p - 2758*p + 7 + 5631*p)*(-p**4 + 3*p**4 - p**4).\nAnswer: 58*p**5 + 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.82998 to one dp.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4917 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 + 4*z**2 + 3*z - 4. Let x(y) = 7*y + 6 - 10 + y - 14*y**3 - 7 + 11*y**2. What is 11*l(o) - 4*x(o)?\nAnswer: o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - 92\/(-20). Suppose -2*x + u + 4 = x, -2*x + p*u + 20 = 0. Solve x = 3*j - 19 + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1707 - 287. List the prime factors of g.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/35 + (-6)\/21. Sort 0.4, s, 5, -1 in decreasing order.\nAnswer: 5, s, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-25) + (4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161795 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19209.\nAnswer: 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318 + -219. Let d = 185 - n. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 495172 and -1.\nAnswer: 495171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 19015 = -a, 5*a - 52380 = 4*w + 42839. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 11. What is the least common multiple of 10 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -6454811157.\nAnswer: -6454811157.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 4 - (-24 + 3 + -4)) + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 11. Suppose -q = -2*s - 13 - 2, 0 = 2*q - 6. Let f be g(s). Calculate the greatest common divisor of 77 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66218021.\nAnswer: 19, 3485159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**5 + 10*f**4 - 5*f**3 + 15*f**2 + 9. Let i(j) = j**5 - 5*j**4 + 3*j**3 - 7*j**2 - 4. Let q(z) = -4*g(z) - 9*i(z). Factor q(r).\nAnswer: -r**2*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4533 to 2 dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**6\/30 - a**5\/15 - 4*a**4\/3 + 8*a**3 - 536*a**2. Factor r(v).\nAnswer: 4*(v - 2)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.64978 plus 54?\nAnswer: -4.64978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7055a (base 11) to base 7.\nAnswer: -606515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + v)*(3 - 3 + 3*v)*(3*v + 0*v - v) - 15*v**3 + 18*v**3 + 20*v**3.\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -30, 0, 2\/13, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -78*a + 75*a - 89, -4*q + a = -67. Calculate the remainder when 30271 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2 + 2 + 2*z + 13*z**2 + 2. Suppose 2*k - k = 4*l - 3, 0 = -4*l + 20. What is the remainder when x(-2) is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d. Let m = -2 - -11. What is the least common multiple of v(-6) and m\/2*(-8)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 25, -2*g + 45 - 27 = 4*c. Solve m + m = -c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*s + 3*d - 8, -2*d + 5 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003105186 to 6 dps.\nAnswer: 0.003105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -34*i - 99. Let t be g(-5). Suppose 4*o - 89 = 1155. Suppose 0 = -6*c - t + o. What is the greatest common divisor of 60 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 43*u - 43 = 2*v, -v - 2*u = 16 - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46933 is divided by 72?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18977, 0.5, 3, -3\/2, -9, -2\/13, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 58 = -5*m - 21, 5*h - 30 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52198676 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -14*l - 111. Let j(h) = 7*h. Let t(v) = -20*v. Give l*j(q) - 6*t(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 102 = -3*n + 94, -3*u - 4*n + 573 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -0.5 (c) -22321 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and -0.4.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42010 divided by 42010?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -181, 0, -11, 5, 2 in decreasing order.\nAnswer: 5, 2, 0, -4, -5, -11, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1000 divided by 1000.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, 4, 50, 146, 310, 560, 914?\n\"Answer: 3*i**3 - 2*i**2 - i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5684173 is divided by 525.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 108\/126*-14*13\/208*28\/18\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -2 - 4 - 56641\/(-13). What is the highest common divisor of 65 and g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 17 - 16 - 26.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Suppose 4*x = 16 - 4. Suppose -x*r = 10*r + 117. Calculate s(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 14*r - 3. Suppose -4 = -15*u + 16*u. Let k be q(u). Solve -4*j = -20, 4*j = -k*d - j + 40 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -241*z**2 - 5*z - 5. Let p(g) = 145*g**2 + 3*g + 3. Let r(k) = 3*h(k) + 5*p(k). Let i(n) = 6678*n. Calculate r(i(u)).\nAnswer: 89191368*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*v - 115, -3*k - 8 - 31 = -v. Suppose -3*a + 23 = -19. What is the remainder when v is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -i + 3, -2*i + 6 = -3*d + 4*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ac6680d + 3?\nAnswer: -ac6680a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48348784551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f**2 + 69*f - 1620. Give o(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 2, g: 4, j: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (10 + -14 + 56 + -124 + 131).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 3. Let g be -5*(-1)\/5*9. Let o(h) = -g*h + 6*h - h + h. Determine r(o(w)).\nAnswer: 12*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u + 1. Let c be j(-12). Suppose -o = -6*o + c. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-2*j + 3*j + j) + (567*j + 285 - 285)*(0 + 1 + 1 + 3 - 2 + 0 - 1 + 1 + 1 + (0 + 1 + 1)*(-2 + 4 - 3) + 2 + 3 - 3 + 1 + 1 - 4 + 3 - 2 + 0).\nAnswer: 1699*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)*d*d**10*d**1\/d**(-1) assuming d is positive.\nAnswer: d**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**7\/6 - t**6\/10 - 13*t**3\/6 - t**2 - 14*t. What is the second derivative of l(f) wrt f?\nAnswer: -140*f**3 - 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2245*c + 13216 = -29135 - 7039 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:51 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -48.1. Let s = 2.22 - h. Round s to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 2. Suppose -w*d + 92 = 26. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/63 and (245\/(-120))\/((-8)\/(-32))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)\/(a*a*a**(1\/12)) assuming a is positive.\nAnswer: a**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 3. Let v(a) = a**2 + 5*a + 7. Let d(g) = 3*v(g) + 7*w(g). Give d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-116)\/58*7\/8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3312 is divided by 546.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8.0744 + 5280\nAnswer: 5288.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1178, 2677, 6780, 14789, 28006?\nAnswer: 47733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9981, -1749, -2 in descending order.\nAnswer: -2, -1749, -9981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -131. Let t be -1 + (-40)\/v - 15\/(-4). Suppose 4*m + n - 5*n = 24, -5*n - 28 = -4*m. Sort -5, m, -1, t in descending order.\nAnswer: t, m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h\/(h**(-37)\/h))\/h*h)\/h)\/(h\/((h\/(h*h\/(h\/(h*h\/(h\/(h\/(h*h\/h**(6\/13)*h)))))*h*h))\/h)) assuming h is positive.\nAnswer: h**(475\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(-10) + 1 + 1. Suppose 0 = z + 18 - 11. Which is the biggest value? (a) -2 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 433*d + 14842. What is r(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 799 + 1602 - 1540*p**2 - 833 - 125*p**2 wrt p?\nAnswer: -3330*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 380.8 + -383.8. Let r = -5.6 + 6. What is the biggest value in -0.3, g, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15710790 at most as big as 15710789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21980782 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91365, 365534, 822491, 1462242, 2284793, 3290150, 4478319, 5849306?\nAnswer: 7403117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + 167. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 + 2*n + 5. Let y = -14 - -13. Let u be (y - 4)*((-5)\/1 + 6). Calculate l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 20. Let x(d) = -2*d - 18. Give -5*g(r) - 6*x(r).\nAnswer: -3*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 9*u - 1\/4*u**4 + 10*u**2 + 4*u**3 + 21. What is the tens digit of x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/13 - 2980*t**4\/13 - 17928*t**3\/13 - 35888*t**2\/13 - 23936*t\/13.\nAnswer: 2*t*(t - 1496)*(t + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25401043 rounded to the nearest 100000?\nAnswer: 25400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 9. Let n be (4\/(-2))\/(1 - (-58)\/(-56)). Let i be 14\/n - ((-249)\/(-4) + 1). Let s = i - -63. Determine k(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113824213 to the nearest integer?\nAnswer: 10669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7338160?\nAnswer: 2, 5, 29, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 316 - -5) + -2. Suppose 6*k = 703 + x. Suppose r - 4*j - 19 = -6*j, -5*j - k = -5*r. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/75 and 113\/250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 102*l = -101*l + 16, 5*l = -3*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49759 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19.89 (b) 10 (c) -12 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 take away 219343454.5?\nAnswer: -219343511.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x. Let k(o) = -o + 3 - 3 - 1. Let b be k(-5). Calculate g(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 77.8. Sort 5, -4\/9, j, 5\/4.\nAnswer: -4\/9, j, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 34 + 18 = 0. Let c = 16 - h. Let b = 1 - -1. Is c greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let a(p) = 0*p**3 + p**2 + 4*p**3 + n*p**2 - 2*p**2. Calculate a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 113 + 295. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 303*p - 868. Give a(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137482865?\nAnswer: 5, 13, 2115121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 3\/1 + 3 + (155 - 150). Let m(q) = q - 1. Let w(k) = 12*k**3 - 9*k + 9. Determine p*m(o) + w(o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 1994. Let s = j + -1002. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -1.2. Which is bigger: q or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 445 - -33?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1941, 3, 1 in decreasing order.\nAnswer: 3, 1, -5, -1941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 9 - (-10)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 40 + 29 - 4)*(2 + 2*w - 2) + 2*w**2 - 3*w + 9 - 9)*(w + 3*w - 2*w).\nAnswer: -4*w**3 + 254*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 390426859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4400 and 4479090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -92. Suppose 5*a - x = z, -3*a - 3*z + 48 = -0*z. 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: Calculate prob of sequence jkk when three letters picked without replacement from kkjjkkkkkkkkk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*v - 997 = -801*u + 2222, u + 32*v + 11 = 31*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76)*-3 + sqrt(76))) - sqrt(76) - sqrt(76))\/sqrt(4) + -6*sqrt(133)\/sqrt(7))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*i - 336 = 12*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (28 + 1)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 311876785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s - 6*s + s - 26 + 3*s**2 - 2*s**2. Let h be l(18). Suppose 5*q = 3*i + 70, 2*q - 4*i = 52 - h. Solve 5*w - q = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d = 113*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*o, -4*t + 3 = -2*o - 3. What is the second derivative of 15*i + 13*i**o - 14*i**3 - 3*i**3 - 11*i**3 wrt i?\nAnswer: -90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 11, k: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/119 - 2817\/1547. Is h less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1 = -14. Is 14*g*(-309)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2466707 = -173*q - 2443525 for q.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*w - 10 = 0, 58 = 2*y - 4*w + 70 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-27) + (-302)\/(-6) + -1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*l - 7*l = -4, -2*o = 5*l - 23. Suppose f + f = -o. What is the units digit of f\/4*2*-13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let z be r(4). Suppose -z*w + 3 = -q - 5, 14 = 3*w + 5*q. Calculate the remainder when (w - 2) + 4 + 16 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.04. Let j = 0.8 - 1.3. Let q be -3 + 2 + 9\/(1 - 4). What is the closest to q in p, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -3\/2 (c) -2\/31 (d) 3 (e) 100 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -215, -462, -741, -1052, -1395, -1770?\nAnswer: -2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 6217964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*x + 72 = -2*x, -4*x = -3*b + 104. Let l = -23 + b. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 6*p - 576. Does p = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*o - 28 = -3*r, 8 = r + o. Suppose 0 = 10*l - r*l - 2. What is the nearest to l in 5, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 352, 5 in descending order.\nAnswer: 352, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 - 100111011111111?\nAnswer: -100111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266379 is divided by 1073.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 7792273 = 5*w - 7792078, -4*y - 39 = w for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - i + 0 - 7*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -123, -0.106 in decreasing order.\nAnswer: 3, -0.106, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*x, -x + 376 = 7*n + 372 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 190?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293164.1 milligrams to grams.\nAnswer: 293.1641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = -l + 18*c + 16, 5*c = l - 17. Let g be (1340\/l)\/(10\/(-5400)). Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 775*g - 1543. Give i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10023 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-10)*(1 - -1). Let t = -8 + -2.2. Let n = t - -6.2. Which is the second biggest value? (a) n (b) 2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1308 divide 458546183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -170. Let o be j\/(-3) - (1 - 28\/8). What is the third smallest value in 0, 2, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25160155 is divided by 1060?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -87. Let b be -1 - ((-14)\/2 - -2). What is the second derivative of -2*s + s**u + b*s + s wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*4\/(-22). Let u = 8 + -4. Let i = u + -2. Which is the second smallest value? (a) v (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883*v**2 - 2470*v**2 + 1161*v**2 + 826*v**2.\nAnswer: 400*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16825557 divided by -4?\nAnswer: 16825557\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 941.6 * -0.1\nAnswer: -94.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1782 divided by 4?\nAnswer: -891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*j + 13. Let i = 290 + -281. Suppose -159*c + 160*c + i = 0. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 8, k: 5, v: 1, q: 3, p: 1}. What is prob of sequence pyvk?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfb when three letters picked without replacement from {f: 1, b: 5, w: 5}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*t + 18, x = -t + 12 + 6. Let d = x + -11. Let j(b) = 9*b + 9. Let f(u) = 11*u + 9. Let h(p) = 5*f(p) - 6*j(p). Determine h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7128)\/(-99)*(3\/4 + 0). Suppose -i = -4*w - 34. Suppose w*b - 12 = b. Solve 2*o - 7 = b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1019526 = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2210*l**6*x - 131340*l**4*x - 22420619*l**2*x wrt l?\nAnswer: 265200*l**3*x - 3152160*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 5:20 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -28 (c) -5 (d) -369.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -529013675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k + 50*k = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 4. Let w be (2 + 7)\/(0 + (-4)\/(-84)). Let h = w + -186. Determine p(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 14*f - 17. Let o be v(-7). Let c = o - -68. Suppose -2*i + 40 = 4*b, 4*i - 5*i = 0. Calculate the least common multiple of b and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:18 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-14))\/(-2)*((-35840)\/2048)\/(435\/(-6))?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -3\/8, 97, 8.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530154338 to the power of 1\/2, to the nearest integer?\nAnswer: 39117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160*7\/490*14.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/15 + t**4\/12 - 2*t**2. Let p be n(-2). Solve -4*l = 2*i - p, l + 0*i = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*p + 149 = 0, -39207*p + 39208*p = 47 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 3*d - 4*a - 24, 4*d - 2*a + 50 = 0. Let l be 8\/d*(-35)\/14. Suppose l*x + 2584 = 4*z - 4044, -x = 4. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5110036 is divided by 851670?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -80, 57869.\nAnswer: -80, 5, 57869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*k + 155754, -389361 = -5*k + 21*l - 20*l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8760?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*v = 281*v + 54628. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*n = -24*n - 37*n - 724388. Calculate the remainder when n is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128512, 257099, 385686, 514273, 642860?\n\"Answer: 128587*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -601, -627, -667, -727, -813?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 110*b + 234. Let f be q(-2). Let a = 8 + -5. Suppose o + 0 = 2. Solve -o = -a*l - f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 - y**2 + y - 1. Suppose -4*r + 21 = 3*i, -i - i + 9 = r. Suppose 2*w - r*w + 1 = 0. Give g(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 31*l. Let p(m) = -10*m**2. Give p(b(g)).\nAnswer: -9610*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad + 1c?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-4)\/120*24\/28.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459523, -459553, -459601, -459667?\nAnswer: -459751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69336 and 864?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a factor of 3204387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*q - 0*q + 1096, -q = 5*a - 274. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a gram in milligrams?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9569, -37981, -85241, -151349, -236305, -340109, -462761?\n\"Answer: -9424*i**2 - 140*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 6345\/2 + -288718\/91. Calculate the common denominator of -145\/42 and q.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*a + 78*a + 3618 = 91*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - 5*h**2 + 7*h + 11. Let m(x) = -x + 4*x**2 - 4*x**2 + 1 - x**3 - 2. Let w(n) = -k(n) - 5*m(n). Let s be w(-4). Solve 3 = 3*j + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 5, -0.5, 1\/2, 0.2, -2\/49445?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4\/5)*l*l*l**(-3\/4)*l)\/(l\/(l*l**(-1)*l))**(-3\/26))**3 assuming l is positive.\nAnswer: l**(147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2. Let i(s) = -2*s + 5. Let d(r) = -3*r + 6. Let a be (-9 - -6) + (0 - 3). Let n(w) = a*i(w) + 5*d(w). Determine n(p(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21461061 divided by 4\nAnswer: -21461061\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50655158249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/6)\/(1\/3). Let d = 11 - 6. Suppose m = 1 - d, -5*b = -3*m - 27. Solve 0 = -2*q + b - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1890162 and 6?\nAnswer: 1890162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -161545 (base 7) in base 3?\nAnswer: -1121200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*9.8\nAnswer: 16.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 15 = 0, -z + 3*k + 9 + 6 = 0. Suppose h = -0*h + 2*f + 1, f - 3 = z. Suppose 3*q - h*q - 32 = -4*o, 0 = -4*q + 4. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((16\/(-3))\/4)\/(3\/(-117)) is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (52 + -36) - (6 - 27)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + 7c25f?\nAnswer: 7c284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(160) + (sqrt(160) - sqrt(160)*-2))\/sqrt(8))\/(((-2*sqrt(120) - sqrt(120))\/sqrt(2))\/sqrt(6))*-5*5.\nAnswer: -500*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/36867?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2923233.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5060000 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 112.35, 0, -7, 0.4, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 1.95. Let o = -78481.12 - -78483.1199998. Let a = i - o. Round a to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15099 + -15103. Sort -5, 1, g, 5 in descending order.\nAnswer: 5, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 92*y**4 + 457*y**3\/3 - 202. What is the third derivative of i(r) wrt r?\nAnswer: 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d - 1. Let c be u(1). Suppose 0 = -4*i - 3*t + 16, 4*i + 11 = -i + 4*t. Suppose 4*b - 9 = -i. Sort b, 3, c in increasing order.\nAnswer: c, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -10 - (28 + 0 - 47)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2811, 11252, 25323, 45024, 70355, 101316?\nAnswer: 137907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -961370 less than -961364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6743, -6717, -6645, -6503, -6267, -5913?\n\"Answer: 4*i**3 - i**2 + i - 6747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 3*n - 15 + 6 = 0, 1261*n + 9 = 1258*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2)\/sqrt(4).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/50*p**6 + 0*p + 0*p**3 + 0*p**4 + 1\/420*p**8 + 3*p**2 + 0*p**7 + 0 - 2\/75*p**5. Solve h(c) = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u**4 - 3*u**2 - 12*u - 3. Let b(j) = 31*j**4 + 5*j**2 + 23*j + 5. Let q(i) = -3*b(i) - 5*l(i). Find the second derivative of q(s) wrt s.\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m - 45. Let z(u) = 7*u + 44. Let n(x) = 3*t(x) + 4*z(x). Let p be n(-29). What is the highest common divisor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/8 + 5*r**3 + 75*r**2 - 31*r + 1. Let p(v) be the first derivative of a(v). Factor p(j).\nAnswer: 3*(j + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 28*x. Let j(z) = 2*z**2 + 15*z + 44. Let a be j(-6). Let o(h) = -7*h + a - 7 - 19. Give v(o(n)).\nAnswer: -196*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3028 + -3028.1. Put -5, 4\/17, z in descending order.\nAnswer: 4\/17, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1102 + 1130 = -7*y. Put -12, y, -2 in ascending order.\nAnswer: -12, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704244 is divided by 939?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -3 - (4 + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 14851 = j - 14971, 150 = -5*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26477?\nAnswer: 11, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j**(-1\/2)*j**(-10)*j*j\/(j*j\/(((j*j**(3\/7))\/j)\/j)))**34 assuming j is positive.\nAnswer: j**(-1921\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -3*p**4\/16 - 65*p**3\/6 - 1491*p**2\/8 - 441*p - 2053. Factor n(h).\nAnswer: -(h + 21)**2*(3*h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 31. Suppose -3 = g*k + 3*p + 3, 4*p + 8 = k. Solve k*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -107894 (base 10) to base 7\nAnswer: -626363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4051871*q**3 - 3816506*q**2.\nAnswer: -24311226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*v + 221, -2*v + 193 + 237 = 2*h. Let x = h + -86. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*l - 2*f, 0 = 5*l - f + 2. Is 2\/9 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o**5 + 7941*o**4 - 59031*o**3 + 72795*o**2 + 139800*o = 0. Calculate o.\nAnswer: -1, 0, 40\/11, 5, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2\/2 + 6*o - 1. Let j be 2\/3 - (-13)\/3. Suppose 6 = j*k + 3*m, 0*k + 2*m = 2*k - 12. What is w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5)\/((x\/x**40)\/x)*x*(x*x*x**(-25\/4)*x)\/x*x*x*x**(-1\/37))**(3\/28) assuming x is positive.\nAnswer: x**(15417\/4144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13071 is divided by 1627.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 3105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97397, -389682, -876817, -1558796, -2435613?\nAnswer: -3507262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (10\/(-3)*-9)\/(4\/82)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5788, 23176, 52148, 92698, 144820?\nAnswer: 208508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 6*a - 6. Let l(k) = -26*k + 85. Let d be l(3). Let w(b) be the second derivative of b**4\/2 + 7*b**3\/6 - 3*b**2 - 6*b. Give d*y(n) - 6*w(n).\nAnswer: -n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-81)*-3)\/(2\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + w - 4*w + 4, 0 = -w - 4. Suppose -4*d + 4*n = a, 4*d + 5*n + 6 = 34. Suppose 1 = d*t - 13. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -348 + 185. Let q = 252 + d. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**7\/840 - c**6\/60 + c**5\/20 - 7*c**4\/24 - c**3\/2 + 2*c. Let s(t) be the second derivative of y(t). What is s(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0838 and -0.4.\nAnswer: -0.03352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.39757 - 123.2\nAnswer: -118.80243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(500) - 1*sqrt(500)*3 - (4 + (-1*sqrt(500) - sqrt(500))))*3 - 2*(0 + (sqrt(500) + -2 + sqrt(500) + 2 - sqrt(500))))**2.\nAnswer: 480*sqrt(5) + 2144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/18036 and 59\/465930.\nAnswer: 2795580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 35. Let m = 41 + r. What is the second smallest value in -5\/2, m, 1\/5, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914388.\nAnswer: 2, 389, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (13 - -23 - 13) - (20 - 2)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14795, -14807, -14851, -14945, -15107, -15355?\nAnswer: -15707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*m**4*r - 116*m**3*r + 2437*m**2*r - 13*m*r wrt m.\nAnswer: -576*m*r - 696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 11*t = -16. Calculate the remainder when 13 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-2 + 0) - 8\/(-8). Calculate the greatest common factor of 7 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 9*p. Suppose 0 = 3*d - 1 - 14. Suppose -3*q - 4*b + 183 = p, -305 = -d*q - b - 2*b. Is 35 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/35 - (15178790\/(-119) + 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.7564 and 12?\nAnswer: 14.7564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 742524 = -4*i + 7*i, 989997 = 4*a - i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -55, -29, -3, 17, 25, 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3105 + 3186. Calculate the remainder when t is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**9\/504 - 93*b**8\/56 + 3197*b**5\/60 + 2122*b**2. What is the third derivative of s(p) wrt p?\nAnswer: -120*p**3 - 33480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122200 and 1976?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032*v + 22 - 26 - 718*v.\nAnswer: 314*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, 1 h, and 1 o when four letters picked without replacement from {u: 4, h: 4, o: 2, p: 1, a: 2, m: 1}?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -18. What is the remainder when 94 is divided by 4 - i\/20 - 163\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1378777 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (17 + (-9 - -13)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3181a26 - -2?\nAnswer: 3181a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 7) + 2 + -15 + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(102))\/sqrt(6))**2 - (1 + sqrt(1700))*6.\nAnswer: -60*sqrt(17) + 2442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 0, -4*d + 9*d - 25 = -2*p. Suppose -6 = -d*f - 2*y + 16, 4*f - 2*y = 48. Solve u + f = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84\/(-15)*(-10)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/8*n**3 - 1\/8*n**5 - 7\/8*n**2 - 5\/8*n**4 + 0 + 0*n.\nAnswer: -n**2*(n - 1)**2*(n + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5968.289 milligrams to kilograms.\nAnswer: 0.005968289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2421 (base 12) to base 11\nAnswer: -3059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**3 - 5919*k**2 + 480888*k - 9180540 = 0.\nAnswer: 30, 54, 1889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/10 - 233*a**4\/3 + 54752*a**3\/3 - 107648*a**2 - 19*a - 244. Factor n(w).\nAnswer: 2*(w - 232)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*o + 181*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 - -102039.9\nAnswer: 102039.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1423 - 2?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 2*u - 2. Let m(q) = 3*q**2 - 3*q + 1. Let y(x) = -3*m(x) - 4*r(x). Let i be y(0). Which is the smallest value? (a) -4 (b) i (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -31. Find the common denominator of 20\/3 and (29\/35)\/(n\/(-35)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**4 - 187377*y**3 + 7033023*y**2 - 64160967*y - 33862161 = 0.\nAnswer: -31267, -1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) + 3432\/(-108). Let u be ((-8)\/10)\/(o\/720). Let i = u + -16. Solve l = i*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + (3 - 4) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15747056?\nAnswer: 2, 13, 75707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 24 = d - 16, -d - 4 = -g for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8225 (base 11) to base 12.\nAnswer: 6399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51509 + -3?\nAnswer: 51506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1)*-1)\/(12688\/336232).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22872\/25 or 915?\nAnswer: 915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**5\/390 + 59*s**4\/156 - 58*s**3\/39 - 51*s**2. Let p(m) = 0. Calculate m.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 - 5*u - 10. Let v be z(7). Let q = -1.7 - 1.3. Which is the closest to -0.1? (a) v (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -215*z**6\/6 - 269*z**2 + z + 1720. Find the second derivative of l(c) wrt c.\nAnswer: -4300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1 = q, 4*b = 65*q - 60*q - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 7. Let u be y(8). Let h = 1 - u. Suppose 0 = -5*j - h*j + 10. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219 greater than -1220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 6*h - 1. Let m be t(-6). Let f be (0\/(-1 + 4))\/m. Solve w = -f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inr when three letters picked without replacement from irnirrq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13459090 by -5.\nAnswer: 2691818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472 + 475. Let i(x) be the second derivative of 9\/2*x**2 - 3*x - 1\/20*x**5 + 1\/2*x**l + 0 - 1\/2*x**4. Determine i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9216 and 280116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6256)\/2944 - (-35)\/(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -31, 2076710?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 2*k - 5974 = 0, 2*q + 3*k = 2999. Which is smaller: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 5140\/50*(-5)\/(-6)*(-2)\/34?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 1:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + 4*f = -40, 3*v + 4*f + 29 = 0. Let l = v + 48\/5. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - -44 - (0 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -0.4 (c) -2 (d) -3 (e) -1123 (f) 10\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 9*l**2 - 23*l - 19. Let y be z(12). What is the first derivative of b + y + 28*b + 59*b**2 - 29*b wrt b?\nAnswer: 118*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 80608.15mg?\nAnswer: 0.00008060815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 18*d + 10 + 7 - 14*d. Is b(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42870000 divided by 20.\nAnswer: -2143500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = -7*n. Suppose -3*g + 4*t + 2601 = 0, -n*t + 3446 = g + 3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6571 + -3026. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 9*i**2 + 12*i + 4. What is the tens digit of k(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) -1 (d) -2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - h. Let q(o) = 10*o**2 - 813*o - 2203. Let w(i) = q(i) + 6*r(i). What is the derivative of w(t) wrt t?\nAnswer: -4*t - 819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0\/1)*-1. Suppose -h*x = 3*g - 18, 4*g + 22 - 53 = -5*x. Calculate the lowest common multiple of 9 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054436726 rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4097 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 + 12*u + 3. Give f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6316810 to the nearest integer?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 6901 - 6*u + 6901.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -243 + 245. Let d(b) be the first derivative of 0*b - 5\/3*b**3 + 0*b**g + 3 - b**4. Find the third derivative of d(v) wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.259564 - 0.4.\nAnswer: 2.859564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4681 and -0.162.\nAnswer: 758.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 285655 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1022 and 792204?\nAnswer: 57830892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001111121221 (base 3) to base 15.\nAnswer: 168a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 9*m - 16. Let s be p(6). Let b(n) be the second derivative of -n + 0*n**s + 0 - 1\/6*n**3. Let j(c) = -2*c. Give b(j(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdlv when four letters picked without replacement from {d: 2, q: 1, l: 1, v: 1, w: 1, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*d**2 - b + 288*d**3 - 12*d wrt d?\nAnswer: 4*b + 1728*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*u + 2307 = 5052 + 5543. Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -10. Solve 3*w - 21 = 3*g, 0 = -0*w - m*w + 5*g + 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*-1 + sqrt(165))\/sqrt(5))\/(sqrt(3) - (sqrt(66)\/sqrt(2) - sqrt(33))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -6*g**2\/5 + 2325*g + 40761\/5 = 0.\nAnswer: -7\/2, 1941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -4*g. Suppose -2*f = 2*f + 20, g*f + 28 = 2*s. Factor 0 + 0*q - 8\/7*q**2 - 54\/7*q**s + 48\/7*q**3.\nAnswer: -2*q**2*(3*q - 2)*(9*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - 45\/3075*-24. Let g be (1 + 0)*(-2 - -3). Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -5. Let z be 9 - (19 - 5 - -4). Sort 4, b, z in ascending order.\nAnswer: z, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, u: 1, d: 9, f: 1}. What is prob of picking 3 d?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -523, -1, 105 in descending order.\nAnswer: 105, 4, -1, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202001111210200 (base 3) to base 9.\nAnswer: -22044720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 9. Let r(v) = 20*v - 26. Give -4*r(p) + 11*y(p).\nAnswer: -3*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-139)\/(-4) - 1\/(-4). What is the units digit of (h\/2)\/(-7)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 29 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2219, -4448, -6687, -8942, -11219, -13524?\nAnswer: -15863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -469 (b) -4 (c) -17.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q - 2. Let w be t(-2). Suppose -p + 4 = -3*c - 6, 4*p + 4*c - 24 = w. Suppose 2*h = -h. Solve -3*s + 11 = -5*b, 2*s - p*s - 2*b + 8 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919131 at most 4919140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 2, z: 7}. What is prob of sequence fz?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.007 + -2.493. Let c = d - -2.500365. What is c rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 4*c + 3. Let f be h(4). Suppose -f*z - 208 = -964. Is z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 75 (c) 1 (d) -5 (e) -1794 (f) -11 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2690*i**2 + 27*i + 611. Is o(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 551987511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.9 + 15. Let s = 0.8 + y. Sort s, 0.3, -0.2 in decreasing order.\nAnswer: 0.3, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight ninths of a hour in seconds?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (2 + (sqrt(76) + 1*sqrt(76) - sqrt(76)) + sqrt(76)))**2*1.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -148. What is the smallest value in 0.5, -2\/9, z, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10481*l**4 - 784?\nAnswer: -41924*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135770 is divided by 8344.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 12. Let t be i(5). What is the tens digit of ((-3)\/6 - t)*-14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*q - 2324*q = -719*q - 16351 + 50623 for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86049 and 601857.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 1111.\nAnswer: 999.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253 = -s + 1254. What is the greatest common factor of 406 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 578*i + 7174. Determine f(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-29.63.\nAnswer: 296.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 63*h**2 - 68*h + 250. What is the units digit of j(69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194334776 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose -5*u + q*u = -252. Let h = -925 - -947. What is the remainder when u is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.979 + -44. Round c to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3 - 984*o**2 + 161376*o - 8821888 = 0.\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 10 - 13 + 2*y**2 + 21 - 3*y. Determine h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -4*b**3 + b**6 - 470*b**4 + 470*b**4 + 15. What is the third derivative of x(q) wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:43 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -2.02. Let o = -1.35 + 7.35. What is the second biggest value in o, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 8:24 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8013, -16623, -25265, -33957, -42717, -51563, -60513, -69585?\nAnswer: -78797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 20712?\nAnswer: -20712.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j**4 - 6*j**2 + 4*j**2 + 2*j**2 - j**2 wrt j?\nAnswer: -288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -37*i + 17. Let r = -118 - -106. Let h be s(r). Let m = -241 + h. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/270*s**5 + 1\/108*s**4 + 1\/945*s**7 + 12*s**2 + 0*s**3 + 0 + 0*s - 1\/540*s**6. Determine j, given that n(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - -36. Suppose 0*n = -4*n + v. Suppose n = 2*z + 3*s, -s + 2*s = -5*z + 18. Solve -z*c = -10 + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4257 and 173247.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.4, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 - 1 = -h, 2*z - 3 = -h. Suppose z = -o - o + 8. Suppose 5*m - 12 = -5*f - 2, o*m + 2*f = 16. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -42, -76, -122, -180, -250, -332?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/41 + 267\/82. Suppose -168*z - 168 = -164*z. Let p = 77\/2 + z. Find the common denominator of i and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 5. Let h be 1\/(-7) - (-2)\/14. Let s be q(h). What is the second derivative of 6*b**5 - 10*b - 9*b**s + 10*b**5 wrt b?\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-32 - ((0 - 5) + (-44 - -41)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9042947369?\nAnswer: 31259, 289291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 2*w - 160 = 0. Solve -4*b - b = -3*s - 20, -4*b + w = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 25. Let a(d) be the second derivative of d**3\/6 + 37*d. Determine a(v(x)).\nAnswer: -2*x - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10032984 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 11. Give i(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/18 + 10\/4. Suppose -r - 3 = 0, -i*y + 31 = -2*r - 11. Calculate the remainder when 34 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-20)*594\/216*(-4)\/1\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**2 - 15*s - 171. Let r be q(-8). What is the highest common divisor of 455 and r?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 387 or 385?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3\/7 + 79*t**2\/7 + 1403*t\/7 + 1325\/7 = 0.\nAnswer: -53, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*u**3 + 18*u + 1734?\nAnswer: -246*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.705 - -39?\nAnswer: 59.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.519 millimeters in micrometers?\nAnswer: 298519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 17. What is s(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 44401*i**2 + 6*i + 5. Let f be t(-5). Round f to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 60 = -4*k - 5*g, 4*g + 3 = k. Calculate the remainder when 41 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:38 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 5*s**2 + 6*s - 3. Let f be a(4). Suppose 9*o - 3*o = 48. Let c be (f\/4)\/(2\/o). Solve -1 = -5*d + 2*q - 4, 4*d + q = -c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2 (c) 4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 + -273.112. What is g rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c444b (base 15) to base 6.\nAnswer: -142054212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*r + 538 - 96 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 203557094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/4 + 6*a**2 = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 4. Let m(x) = 1. Let k = -5 - -11. Suppose -r = -k*r - 5. Determine r*v(t) - 5*m(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**10\/2520 + a**6\/360 - a**3\/6 + a**2. Let t(m) be the first derivative of x(m). What is the third derivative of t(q) wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2 + 2530*a - 12625 = 0.\nAnswer: 5, 2525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n - 47*n + 20*n. Let i(f) be the third derivative of -f**5\/20 - f**2. What is d(i(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 8*d + 173 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/60 - v**4\/12 - v**3\/3 - v**2. Let y be n(4). Suppose 0 = o - y*o + 155. Solve -5*m - 3*l + l = o, -8 = m + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p**2 - p. Let c be x(-2). Let r be c - ((1 - 1) + 1). Is 8 a factor of 2\/(-3) - r\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 27175503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/120 + 7*h**5\/60 + h**4\/4 + 3*h**3\/2 + 6*h**2. Let d be (-12)\/(-14)*(-1 - 6). What are the prime factors of w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 383972540 and 2380?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3601 + 3604. Let t(r) = 345*r**2 + 5*r - 3. Let d be t(-4). Suppose 5*c + n*a - d = 0, -c + 2*a - 5493 = -6*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189367078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/11 - 42*m**2\/11 + 96*m - 4736\/11 = 0?\nAnswer: -37, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4*s - 65, -3*k - 60*s - 986 = -3*s - 116 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*y**3 - d**3*y**2 - 142*d*y**3 - 48*d - 24*y**2 wrt y.\nAnswer: 6*d**3 - 852*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29)\/(-145)*(-3565)\/(-46). Factor 225\/2*a + 0 + o*a**3 + 255\/2*a**2 + 1\/2*a**4.\nAnswer: a*(a + 1)*(a + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 2*p**3 + p**2 + 8*p - 78. Let g = -202 + 196. Let n(r) = -5*r**2 - 6 - 3 + 2 - 2*r. What is g*h(x) - 7*n(x)?\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11250 and 7.\nAnswer: -78750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 13. Determine r(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17642824*m**3 + 9983397*m**2 wrt m.\nAnswer: 105856944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 64. Suppose -4*a + m*z - z + 1074 = 0, -3*a + 2*z = -803. List the prime factors of a.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160615, -321215, -481807, -642385, -802943, -963475, -1123975, -1284437?\nAnswer: -1444855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5331 - 929. Let p = u + 1849. What are the prime factors of p?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609201 to the power of 1\/2, to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605417 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 70 + 62 - 139)*((4*d - 5*d + 3*d)*(-1 + 4 - 5) + (2 + 0 + 0)*(-d - d + d)).\nAnswer: -42*d**2 + 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -810842951938 take away -0.001?\nAnswer: -810842951937.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (7 - -1) + (-12 + -19 - -18) + 3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 860665.15 rounded to the nearest ten?\nAnswer: 860670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4290363327 rounded to the nearest one hundred thousand?\nAnswer: -4290400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8512 and 83\/721924?\nAnswer: 11550784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 3)\/(-8) + (-26)\/(-40). Sort 0, -0.4, -4, b.\nAnswer: -4, -0.4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = i - 884. What is the greatest common divisor of i and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**6\/120 - s**5\/10 - 7*s**4\/24 - s**2. Let r be o(-5). Suppose -r*z = -9*z - 40. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:34 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -8*d**3\/3 - 125. Let u(j) = j**2 - 8*j. Give x(u(y)).\nAnswer: -8*y**4 + 128*y**3 - 512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2705.99 - -2652. Round o to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1493, -5405, -11937, -21089, -32861?\nAnswer: -47253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98566236 and 131421648?\nAnswer: 394264944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-182))\/(1\/7) + 4 - (-18 - -20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:11 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*t + 261662425 - 72161570 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 + (-4)\/(-10). Suppose s = 5*h + h - 36. Suppose -k + h = 1. Solve 0 = -k*j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 10.69118, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*o - 592 = 18*v - 737*o, -2*v - 110 = o - 38 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12709, 12810, 12909, 13006, 13101, 13194?\n\"Answer: -b**2 + 104*b + 12606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716010 rounded to the nearest 10000?\nAnswer: 3720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 10. Let d be q(10). Suppose d = 5*v + 16 - 6. Let u = -4.7 - -5. Sort u, v, 0.1 in descending order.\nAnswer: u, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 8 + 31 - 20*s - 73 + 29.\nAnswer: 9*s**2 - 20*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 191 + 46. Suppose -44 = -2*m - r, 5*r - s = 4*m - 117. Calculate the highest common divisor of m and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 4*n - 56166 = 0. Let j = n + -2756. Suppose -b = 4*b - j. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 13*v + 0 + 2*v in the form q*v + p and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 11*o**2 + 4*o**2 + o**2 to d*o + p + z*o**2 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 9*f. Let a(r) = r**2 + 2*r. Calculate -11*a(c) - 2*b(c).\nAnswer: -3*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1761 - -1760.6. Let k = -1178\/7 - -168. What is the second biggest value in -17, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-24))\/(1\/12). Let d be (q - 1)\/(-2 - -1). Let v be 0 + d\/(-4)*5. Solve 2*h - 4*h + v = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010255 to 7 decimal places.\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 8*z - 7. Let k be d(5). Let r = k + 19. Calculate the common denominator of -37\/5 and r\/(-3) + 98\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -j - 2, 132*x = 137*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60\/19 + 243\/95. Let u = 88\/45 - 14\/9. Let g = -2 + 5. Which is the closest to u? (a) g (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + b3079?\nAnswer: b307d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4764410, -4764412, -4764414?\n\"Answer: -2*r - 4764408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = 2*d - 4*k, -k = 2*d + 7. Let j(l) = 20*l**3 - 3*l**2 - 4*l - 3. Let o be j(d). What is the tens digit of (-6)\/(-14) - o\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 7*v**2 + 3 - 8 + 23 - 2*v**2. Is t(-6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51060 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 598 = 6122 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58866320 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2091 and 101967.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-12) - (-177)\/(-236)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 53504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2 + 1, 3*l - 8 = -o. Let r(u) = 18*u + 11. Let p(w) = 9*w + 5. Let x(k) = 13*p(k) - 6*r(k). Calculate the remainder when x(l) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ccccccclllclccclcll.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 15*p**3 + 6*p**3 + 3*p**2 - 7 + 9*p + 2 = 0. What is p?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 4844129?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 7. Let p be (12\/15)\/(-4) - 2*(-21)\/210. Let y(o) be the third derivative of p + 0*o**3 - 1\/24*o**4 + 0*o - 25*o**2. Calculate y(f(i)).\nAnswer: 2*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**2*w))\/(w*w**1\/w*w)*(w*(w\/(((w**(5\/2)\/w)\/w)\/w))\/w)\/w**(-2\/7)*((w**(-6\/11)\/w*w)\/w*w**(-2))\/(w**(-1))**(1\/20) assuming w is positive.\nAnswer: w**(-8793\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*t = 127*t - 3640. What is the highest common factor of 1274 and t?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717936047 to the power of 1\/2, to the nearest integer?\nAnswer: 52134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1800*s + 12615. Give g(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1189780 to the nearest ten thousand.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/x*x**0*x**(2\/19)\/x**(-6\/11))**(-1\/96) assuming x is positive.\nAnswer: x**(977\/10032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -17. Suppose -3*u + 5*y - 25 = 0, -3*u - 4*y + 2*y - 11 = c. What is the closest to -1\/6 in -2\/7, 0.1, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -5, -1\/106, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r**2 - 3*r - 6. Let p(b) = b - 1. Let a(h) = -17*h**2 + 12*h + 13. Let m(w) = -a(w) + 4*p(w). Calculate 11*j(c) - 4*m(c).\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3521058 divided by -898\nAnswer: 3921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**2 - 29*k + 10. Let s(i) = 2*i**2 + 6*i - 1. Let m(p) = -h(p) - s(p). Let d(z) = 5*z**2 + 11*z - 5. What is 5*d(c) - 3*m(c)?\nAnswer: -2*c**2 - 14*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 12810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + sqrt(1216) + -5 + sqrt(209)\/sqrt(44) + (sqrt(228)*-3)\/sqrt(12))*3)**2.\nAnswer: -990*sqrt(19) + 24291\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209.3 + 13.7. Let t = i + -224.55. What is t rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 11*k**3 + 13*k**3 + 0 + 8.\nAnswer: 2*k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-8))\/(98\/84). Which is the fourth smallest value? (a) 5 (b) r (c) 13 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-1)\/(4\/(-12))*-1. Let u(j) be the first derivative of -5 + 0*j**3 + 2*j**4 + b*j - 1\/2*j**2. Find the second derivative of u(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let g(q) be the third derivative of q**7\/1260 + q**5\/60 + 3*q**2. Let d(z) be the third derivative of g(z). Give d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 + -153. Let h(v) = 122*v + 14. Let r be h(i). What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/13 + 46*r**2\/13 + 264*r\/13 + 360\/13 = 0?\nAnswer: -15, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 576?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 52. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4869388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-18)\/(-10)*1624\/(-1218)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let b(y) = -4*y**2 + 55*y + 123790. Determine p(b(k)).\nAnswer: -8*k**2 + 110*k + 247580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*n - 13, 4*n - 2 = 3*n - v. Is ((-2935)\/(-10))\/(n\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1132*s = 790*s - 49968, 0 = -4*m + 5*s - 4*s - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 10. Let n be w(-8). Suppose -t - n = -3*t. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.386 take away 6890?\nAnswer: -6887.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b + 8. Suppose -2*q = -36 + b. Calculate the highest common factor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 29*d - 97. Determine k(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 43*h**3 + 456*h**2 - 227*h + 40. What is m(-11)?\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -272*m - 9518. Let x be c(-35). Solve -i + x*f = -4*i + 13, -18 = -4*i - 2*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382 + 535. Suppose 31 = 3*t - 2*o + o, -2*o = t - 8. Let y = f - t. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -166*k - 14. Which is the nearest to k? (a) -13 (b) 8\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*c - 151*c + 19113 = 0 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 6*h - 25. Let g be k(9). Let c(y) = y**2 + 8*y + 5. Let n be c(-8). Solve 5*w + g*a + a = -15, w = -a - n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6105\/(-26455)*4953\/(-9)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/31115 and 44\/6329045.\nAnswer: 310123205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12333013132112?\nAnswer: -12333013132112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = 10. Suppose 3*x - l = -3*k, -1 - 14 = 5*x - 5*k. Which is greater: -0.08 or x?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = s - 5, -4*z - 255 = -5*s - 230 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9252 - -85051. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - v**2 + 3*v + 17. Calculate h(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from {l: 5, g: 3, r: 2, k: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 636 = 5*u + 9836, -27642 = -3*s + u. Let l be ((-2)\/(-20))\/(38\/s). Let o = -24 + l. Are 5\/6 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -18. Let h be 24*(-1 + 2 + 0). Suppose 3*m = 3*c - h, 8 = -3*c + 4*m - d*m. Solve 4*y = -0*y + c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 21 = 11*o, 40*o = 4*v + 36*o - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 153\/(-34) + -3 - 14\/(-4). Put -1, 0, 12, f in decreasing order.\nAnswer: 12, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1411020338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-4) - (-8)\/2. Suppose t = z - 11 + 8. Calculate the smallest common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 + 4*q - 18.\nAnswer: 2*(q - 3)*(q + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10379 and 3880.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/12 - 19*b**3\/6 - 11*b**2\/2 + 29*b. Let x be r(-18). Suppose 4 = i, 5*y - i + x = -12. Which is greater: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b2311a - 5?\nAnswer: -1b23122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(448) + 4)**2 + (sqrt(448) + 3)*-1 - (sqrt(448)*-4 + 3 + (sqrt(448) - (5 + sqrt(448))*-3))**2.\nAnswer: 40*sqrt(7) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 7*b**2 - 4*b + 2. Determine g(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-30)\/20 + 3) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 36. Let d = f - -59. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -14*f. Let i(r) be the first derivative of 1\/4*r**2 + f*r**3 + 0*r - 1\/8*r**4 + 2. Determine y, given that i(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*a + 9, 5*a - w + 4*w = 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -69203*-0.23\nAnswer: 15916.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1344 and 126686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.39877 and 111.829.\nAnswer: 111.43023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 minutes after 10:07 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 3214*n**2\/3 + 12868*n\/3 + 12872\/3.\nAnswer: -(n - 3218)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfny when four letters picked without replacement from {n: 1, y: 2, r: 2, f: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -11. Let r = -9.9 + o. Let t = -0.5 + 0.3. What is the closest to r in -2, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c7dd8 (base 16) to base 7.\nAnswer: 33532606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w - 252*w**2 + 2*w**3 - w**3 + 52*w**2 + 4*w to the form c*w + o*w**2 + h*w**3 + p and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2. Let h(v) = 79888*v. Determine h(c(l)).\nAnswer: 239664*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let o(b) = -5*b - 3. Let i(j) = o(j) - 6*u(j). Let f = 16 - 11. What is i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1073440 and 939260?\nAnswer: 7514080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqq when three letters picked without replacement from {s: 1, q: 2, z: 4, h: 6, j: 4}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5055 divided by -1685\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1331*h = 377*h + 5724 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-190)*15*1\/((-18)\/(-420)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -50 + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**3 + 15*s. Let v(f) = -30 + 30 - 2*f + 3*f. Let u(z) = -5*g(z) + 35*v(z). Let h(c) = -2*c. Calculate u(h(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 5*r**2 + 3*r - 2. Let o(l) = -4*l - 2. Let f be o(1). Is q(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*v + 15 = -6*v, -3*v = 0. Let o be ((-4)\/(-8) + -2)\/6*-8. Suppose -4*x + 10 = -d - d, 12 = 3*x. Solve 3*w = -d*t + q, -t - 1 = 5*w - o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2342)\/(-5) - (8 + (-172)\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k - 8. What is f(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 2, i: 1}. Give prob of sequence tig.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 = 56. Calculate the remainder when 75 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2874, 3062, 3298, 3582?\n\"Answer: 24*m**2 + 116*m + 2734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -33\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255637?\nAnswer: 255637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*v = -240*v. Solve 2*g = 8, p + 2*g - 1 - 11 = v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5acd9 (base 15) to base 4.\nAnswer: -1012233303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - j + 1. Let p(y) = -y**2 + y - 1. Let f = -82 + 88. Suppose -10 = 2*q - f. Calculate q*u(r) - 2*p(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2490946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + 1)*4) + -1)*5 + -3.\nAnswer: -90*sqrt(5) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 + 266 = -w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7543.16226 from -0.134.\nAnswer: -7543.29626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1242857446 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 10023 in increasing order.\nAnswer: -5, 4, 10023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 6 = 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -13*l + 5*p, 30 = 2*l + 3*p. Solve l*v = 28*v + 132 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -18) + -1 - (285 - 257) - (1 + 10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20243880 divided by 477?\nAnswer: -42440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 50769780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12158002139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 + -4 + 3 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 5:34 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and 0.2.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*f*m*v**3 - 18*f*m*v + f*m + 12*m*v**3 - 2*m*v**2 - 2 wrt v?\nAnswer: -474*f*m + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5 = -5*s - d, d + 11 = -3*s. Let q be (-5)\/(-10)*0\/(-2 - s). Let p = 8 + -8. Solve p*f - f - 5 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 120*u - 5. What is o(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 237467*z + 475068*z - 237589*z.\nAnswer: 12*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(14 + 16030\/(-1155))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5 - 742*u**4 - 30306*u**3 - 313858*u**2 + 344908*u = 0.\nAnswer: -326, -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -44*n + 35. Suppose 6*l = -67 + 43. What is the hundreds digit of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26045068 + -8?\nAnswer: -26045075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 16. Suppose -p*o + 6 + 10 = 0. Suppose -2*l + 4 = 2*y, o*y - 2*y - 4*l = -20. Are y and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439852 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-535)\/(-3745)*1*6\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16*j + 3. Let n = -89 + 86. Let h(k) = -35*k - 7. Let q(i) = n*h(i) - 7*c(i). Let t(y) = -2*y**2. Give t(q(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p. Let c(g) = -3*g**2 + 100. Let x(h) = -12. Let o(s) = c(s) + 4*x(s). Determine o(u(j)).\nAnswer: -588*j**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*4\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15136839?\nAnswer: 3, 1681871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2221012?\nAnswer: 2221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -217 (b) 0.03 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -469, -380, -223, 8, 319?\n\"Answer: c**3 + 28*c**2 - 2*c - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21845 to three decimal places.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 + (-5 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.4 + -17.4. Is -9\/25 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 1\/105*a**7 + 0*a**5 + 7*a**2 + 0*a**4 + 0 + 0*a - 1\/3*a**3 + 0*a**6. Find the first derivative of g(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1981\/35 - (282\/(-846) + 2\/(-30)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 + 15*h - 28. Let w be t(-12). Let g = 919 - w. What are the prime factors of g?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let d(w) = 0*w + 3 + w + 3*w. What is the units digit of d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-21)\/(-21))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 57*i - 400. Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*p + 16, 2 = -3*p + 5*c - 10. Let o = p - -9. Suppose -4*s + 2*v + 8 = 0, -4*s + 5*v + 4 = -4. What is the remainder when o is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -3*z**5\/20 + 247*z**4 + 11035*z**3\/6 + 34*z + 11. Find the second derivative of t(o) wrt o.\nAnswer: -18*o + 5928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/7, 16\/5, 5 in ascending order.\nAnswer: -2, -2\/7, 16\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 + 13*p - 1. Let h(t) = -5*t**2 - 12*t. Let o(q) = -5*h(q) - 4*n(q). Let j be o(-8). Let u = -5 + j. Is u greater than -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12683080301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 0.3, 65, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76258, 76716, 77164, 77596, 78006, 78388?\n\"Answer: -m**3 + m**2 + 462*m + 75796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 10:48 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((3 + 3 - 6) + 7 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 11. Let t be c(-10). Let n(j) = -j**3 - 2*j**2 - j - 2. Let w be n(-2). Let i = 3 + w. Put 4, i, t in ascending order.\nAnswer: t, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1253176)\/(-69) + 1224\/42228.\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus -2351?\nAnswer: 2350.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 35*a - 70. Let w be o(-14). What is the first derivative of -31*j + 36*j - w + 39*j + 22*j + 18*j wrt j?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.5, 2.39, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(0*t**2 + 0*t**2 + t**2) + 3 + 2*t**2 - 3 + t**2 - 3*t**2 + t**2 - 5 + 5 + 3*t**2 + (-4*t + t + t)*(-t + 0*t - t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5103199*v**3 + 32211*v + 248.\nAnswer: -30619194*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*v - 4. What are the prime factors of (-8)\/(-28) - 2451\/v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + -1066?\nAnswer: -103b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 10*y + 1. Let h be w(-11). Let k = 17 - h. Factor -12*z**2 - z**4 + k*z**4 - 2*z - 6*z.\nAnswer: 4*z*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076362882 to seven dps.\nAnswer: -0.0007636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d. Let o(p) = 15*p - 22. Determine o(w(c)).\nAnswer: 150*c - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-4*sqrt(3)*-2))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-74)\/(-6))*(-60)\/8?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.306387 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -3\/35*u**5 - 3\/4*u**4 - 5\/14*u**3 + 25*u + 0 + 0*u**2. Determine n, given that m(n) = 0.\nAnswer: -5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, -122, 0.2, -1\/5, 4 in increasing order.\nAnswer: -122, -1\/5, 0.2, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczszszsszcsczszz. What is prob of picking 1 c and 1 s?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21363, 44686, 68009?\nAnswer: 91332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -342, -750, -1168, -1602, -2058, -2542, -3060, -3618?\n\"Answer: -c**3 + c**2 - 404*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(17*25\/(-48875))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 5. Let r be (-24)\/2*8\/6. Let q(k) = k**3 + 11*k**2 - 9*k + 13. Let n be q(-12). Let m = n - r. Let h(c) = -9*c - 11. Give m*j(g) - 3*h(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*b + 1. Let w be (2 - (-1 - -2)) + b. What is the closest to w in 0.1, 2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10500 = 7*f - 10*f. Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 56*l - 55*l + 18407, l = 3*a - 13805. List the prime factors of a.\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22602, 11118, -366, -11850?\nAnswer: -23334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, 3, 2, 1260 in descending order.\nAnswer: 1260, 4, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*(-693)\/(-6 - -27).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 4*s. Let k be c(-6). Solve p = 5*u - k, -8*u + 15 = -4*u + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**6\/6 + n**4\/4 + 5*n. Find the third derivative of q(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/((-12)\/(-54)). Suppose 12 = -5*w + 92. Solve -q*c + w = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5296, 5294, 5294, 5296?\nAnswer: 5300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let t(y) be the third derivative of -17*y**7\/5040 + y**5\/5 + 7*y**2. Let w(z) be the third derivative of t(z). Calculate k(w(a)).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(w - 4*w + w - 9).\nAnswer: 2*w + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/7 + 5*r**4\/7 - r**3 + 3*r**2\/7 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -145728 divided by 4554?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13100310300 (base 4) in base 10?\nAnswer: 1903920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 843, -1 in decreasing order.\nAnswer: 843, 4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 12. Let a(h) = -5*h + 24. Let f(r) = -3*a(r) - 7*x(r). Let l be f(-6). Let k = 1\/16 + 3\/16. Do l and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, d: 3, t: 1, c: 4, a: 1, v: 3}. Give prob of sequence dtck.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (259*i - 259*i - 252*i**2)*(2 - 2 - i - 2 + 5*i + 2 + (4 - 2 + 0)*(-i + 1 - 1)) in the form y*i**2 + w*i + r + m*i**3 and give m.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39847.93ml in litres?\nAnswer: 39.84793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.9\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**5 + 3*h**4 + 3*h**3 - 9*h. Let j(v) = 3*v**5 - 5*v**4 - 5*v**3 + 19*v. Let p(u) = 3*j(u) + 5*o(u). What is the second derivative of p(s) wrt s?\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2268 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-3.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*f + 7 = -0*j, 3*j - 2*f + 17 = 0. Let m be 1 + 4*j\/(-6). Factor 20*o**2 + o - 4*o - 25*o**m - o.\nAnswer: -o*(5*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:04 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*g**3 - 872*f**2*g - 2*f**2 - 40*f + g - 13 wrt g.\nAnswer: -6*f**2*g**2 - 872*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3)\/p*p)**(1\/3)\/(p**3*p**4) assuming p is positive.\nAnswer: p**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 116?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 9 + (-13 - -17) + (-15 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -u. Suppose 3*l = -2*v - 0 + 13, -u*v - 3*l = -15. Solve v*s + 0*s - 6 = -2*m, 0 = 4*m - 3*s - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -5*x**4\/4 - x**3\/3 - 21*x**2\/2 + x - 113. Is y(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 7*q + 1. Let w(u) = -5*u**2 + 8*u + 1. Let g be -4*15\/10 - 0. Give g*w(x) + 7*p(x).\nAnswer: 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 - (82 + -62)) + 21.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x + 87*x = -563 + 1733 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 360.63352 + 0.00648. Let r = -361 + a. What is r rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i - 1. Let u(x) = x + 8. Let q be u(7). Suppose q = 5*j - 0*j. What is the remainder when c(-2) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/20 + 2*v**2 - 6. Let x(t) be the second derivative of -7*t**4\/12 + 2*t. What is x(n(d))?\nAnswer: -63*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**2*y**3 - 4*u**2*y - 2*u**2 + 2*u*y - 5*u - 11*y**3 - 20*y**2 wrt y.\nAnswer: -24*u**2*y - 66*y - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15887.965683 - -15888. What is n rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -215. Let b be n*(-21)\/14 - 2. Solve 10 = -b*w + 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*g + 1055 = 137*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-7))\/(((-410)\/(-35))\/41). Solve 3*z + c = -36*a + 33*a, 0 = 2*a + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 40 = -4*r. Let w = -2 + r. Let f(j) = 7*j - 13*j**2 - 4 + 4*j + 12*j**2 - w*j. What is f(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -713 + 844. Suppose 6*h - 31 = i. Calculate the highest common divisor of h and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334676910 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2064 and 1548.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2 - 6 + 3 + 4 + p**2. Let d = 2 - 4. What are the prime factors of g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**(-7)\/g*(g**(1\/4)*g)**(-8\/3))\/(((g**2*g)\/g**(-4\/7))\/(g\/(g\/(g\/g**0)))**(-32)) assuming g is positive.\nAnswer: g**(-1090\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-28) - (-97)\/4. Suppose -11 = -s - 5*a, s + 2*a - 4*a - u = 0. Sort 5, -1, s in increasing order.\nAnswer: -1, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 19 = 5. Which is the second biggest value? (a) -0.5 (b) 2 (c) z (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 12. Let c be f(-12). Suppose b + 17 - 8 = c. List the prime factors of (-1 - (-489)\/12)*(-24)\/b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -2*y - 27, -2*y - 34 + 32 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 543323, 543528, 543857, 544304, 544863, 545528?\n\"Answer: -u**3 + 68*u**2 + 8*u + 543248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 2*y, 4*n - 28 = -4*y. Let f(m) = 15*m + 159. Let b be f(-10). Solve 1 = n*o + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbahllhc. What is prob of picking 1 a and 2 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 170083993511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1996284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - i - 98 = 0, -2*r - 3*r + 133 = 4*i. Let b be 2\/(-1) - (r + -24). Is b < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*j + 2*n, -n + 16 = -5*j - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -81*v**2 + 652*v - 28. Determine p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302552 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*a - 0*a. Suppose 0 = -8*s + a*s - 325500000. What is s rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3 - 12. What are the prime factors of 102\/8 + f\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 q when three letters picked without replacement from qqqqqdqqmqmmmmqmq.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(((-6)\/8)\/(-3)). Suppose 0 = s + 3*p + 4, 0*s = -u*s - 5*p - 6. Suppose -d = -3*d + 6. Solve -4*v + 10 = 5*a, s*v + d = 2*a + 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 2*v + 32 = -3*y, y - 968 = 5*v - 983 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31636\/28 - (-12)\/(-14).\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.227 + 0.227. What is the second smallest value in t, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -79 + -679130?\nAnswer: -679209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-182)\/117 + 45\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 345?\nAnswer: 75900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.184 - -455.184. What is the nearest to -0.1 in u, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314464.\nAnswer: 2, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from lglllgglllg.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, 3, -3, 5, -2 in ascending order.\nAnswer: -3, -2, 3, 5, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2180 + 3748. Does 112 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*g**4 - 23885640*g**3 + 352222952120*g**2 - 1408605193760*g + 1408509657680 = 0.\nAnswer: 2, 265378\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.47 + -0.03. Let m = s + 1. Let z = m + -8.3. Round z to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.1336l in millilitres?\nAnswer: 763133.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l - 70*l - 24 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182 smaller than 2182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45800 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1393*i**4 + 7 - 8 - 114*i - 23*i**2 + 1390*i**4 wrt i?\nAnswer: -36*i**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000479824674 rounded to 6 decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -661286*1*(-84)\/48071340. Let l = z + 2\/89021. Find the common denominator of -73\/110 and l.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215 + -1073\/5. Which is the nearest to -0.02? (a) r (b) -0.07 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from elm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) - (sqrt(136)\/sqrt(8) - sqrt(17)))**2 + -1*sqrt(34)\/sqrt(2) - (-1*1*sqrt(153)*-5)**2.\nAnswer: -3813 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006227576659 to four dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Suppose 39*q = 581 - 581. Put q, 6, m in ascending order.\nAnswer: q, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -21*x**3 - 3*x + 4. Suppose -4*k + o - 13 = 0, -5*k + o = 2*o + 14. Let i be s(k). What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (20 - 10) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*q - 87*q + 246*q - 49*q - 77*q.\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452217 to the power of 1\/2, to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268042055 - 0.1.\nAnswer: 268042054.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttf. Give prob of sequence tt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -142570 divided by -10\nAnswer: 14257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 91, 0.3, -4, 25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o = -80 + 305 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452*g - 30*g = -112*g - 2220. Factor -g - 17\/3*x + 1\/3*x**2.\nAnswer: (x - 18)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81966.69 and 44?\nAnswer: -3606534.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Let p = r - -1. Suppose -p*o = 3 - 132. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-18))\/(16\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i + 6. Let y be f(6). Let o = 52 - y. Suppose -5*n - 8 = -4*m, -4*m + o*n = -0*m - 12. What is the lowest common multiple of m and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -185 in descending order.\nAnswer: 1, -3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 5*c + 0)*(-17 - 17 + 4)*(-c**3 - 2*c + 2*c) as f*c**4 + b*c + w*c**3 + k + q*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 - 5*q**4\/24 + q**3\/2 + 2638*q**2. Suppose 0*t + 5*t - 5 = 0. Let d(b) = b - 1. Calculate t*i(a) + 3*d(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33676, -33129, -32582, -32035, -31488, -30941?\n\"Answer: 547*y - 34223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, -3 in descending order.\nAnswer: 15, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*5\/(-60))\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-2)*(-1 + -1). Suppose 3*b + 2*o - 13 = 0, -b + 2*o = -4 + 5. Let f = -1 + b. Is m != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4790832 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (3 - 3)) + -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2834*s - 1879*s - 417804 = -949*s for s.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + (sqrt(19) + 4*sqrt(171))**2)*-6*-6.\nAnswer: 72*sqrt(19) + 115596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3087771 - -626)*1*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -51\/186649 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 26635410 to the nearest one hundred thousand.\nAnswer: 26600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9359 is divided by 101?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.6 + 1.6. Which is the second smallest value? (a) 0.6 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 2 o when four letters picked without replacement from {o: 3, t: 7, f: 2, d: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*p + p**5 + 12*p**5 + 58*p wrt p.\nAnswer: 260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:50 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213795 + -71396. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:21 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -480906 divided by -26717\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-678)\/(-36) - 115\/138.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5\/8 - 7*l**4\/4 + 13*l**3\/8 = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 15*c**2 + 16*c + 4. Calculate m(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.016 (b) -0.3 (c) -213.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27497629 - -41114762. Let g = 68612404.5000067 - r. Let c = -13.5 + g. What is c rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 316009.4875 to the nearest 100.\nAnswer: 316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-88)\/(-9) - (-370)\/1665. Solve b + j + 1 = 2*j, u = 2*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46916047 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3294.4249 to the nearest integer.\nAnswer: -3294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2495*f**2 + 2492*f + 3 = 0. Calculate f.\nAnswer: -3\/2495, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064937559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n - 1. Let i(r) = 9*r + 3. Let z(f) = 4*c(f) + 5*i(f). Let q(h) = -h**2. Give q(z(g)).\nAnswer: -169*g**2 - 286*g - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3215 - 0.0445. Let s = -0.168 + p. Let l = -0.108705 + s. What is l rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/84 and 47\/9940?\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-3))\/(84\/252).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -824*l + 9881. Give c(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:38 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 100*u**2 + 2510*u - 258289. Determine b(99).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -40 + (285\/21)\/5.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.057 - 75684\nAnswer: -75687.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.06, -49, -0.3, 0.2 in descending order.\nAnswer: 0.2, -0.06, -1\/4, -0.3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 57987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -13 + (17 - 7) + (-1 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99787?\nAnswer: 99787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/12 + j**2 - 42*j. Let f(o) = -3*o**2. Calculate f(q(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -1. Let o = -0.2 - m. Let d = 28\/3 - 10. Which is the smallest value? (a) 4 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*n - 135*n + 0 + n**2 - 4.\nAnswer: n**2 + 262*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25 - 11\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/177930 and 2\/945?\nAnswer: 1245510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.1 (b) 2\/3 (c) 8 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:37 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95855845 + 26?\nAnswer: 95855871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -70. What is the remainder when ((-306)\/765)\/((-2)\/625) is divided by d\/(-3)*12\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/26)\/(444\/(-962)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 405 - 216. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90176 is divided by 28649.\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*w + w + 2*k, -k = 3*w - 2. Suppose w = -2*u + 13*u - 110. Let s = 35 + u. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3659 divided by -196.\nAnswer: -3659\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p + 2*p**3 - 6*p + 3 + p - p + 2*p**3 + (5*p + p - 5*p)*(p**2 - p**2 + p**2).\nAnswer: 5*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/x**8))\/(x\/(x**(-4\/7)*x)))\/(x**1\/(x\/(x\/(x\/x**(-9))))) assuming x is positive.\nAnswer: x**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*k + 29563 = 63285 + 37622. What is the highest common factor of 32 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 5*x - 3. Let z be n(3). Let g be (-5)\/(((-6)\/z)\/4). Let w be -2 + 3\/6*g. Put -2, 0.3, w in ascending order.\nAnswer: -2, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/22*(-16)\/28\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39462, -151720, -338808, -600720, -937450, -1348992, -1835340, -2396488?\nAnswer: -3032430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -19 - (-5 + 4 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -837*i + 129651. Determine y(155).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/14)\/((-18)\/(-63))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -185*p**5\/4 + 954*p**4 - 8539*p**3\/4 - 942*p**2 + 27*p = 0. What is p?\nAnswer: -2\/5, 0, 1\/37, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/99 and -101\/110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 0 + (-1 - (4 - 8)). Suppose -4*m + 11*m - 21 = o. Let v be m - 7\/(21\/(-9)). Let q(f) = -f + 2. Give q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(30) - sqrt(1470)*-1)\/(sqrt(20)\/sqrt(2)*6))**2*-3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = v + 5. Suppose -10 = -3*y - v*d, -4*y - 3*d + 5*d + 6 = 0. Solve y*f = 3*z + f - 7, 4*f + 4 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 384 - 124 = 0. Let i be c*24\/(-1404)*(-15)\/4. What is the third smallest value in -0.2, 5\/2, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 + 372*z**2 + 8460*z - 8836 = 0. Calculate z.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -1\/5*b**3 + 14*b**2 + 0 - 245*b = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 + k. Let x(v) = 44*v**2 - 24*v**2 - 1 - 22*v**2. Let o(f) = f**2 + f + 1. Let z(g) = 4*o(g) + 3*x(g). Calculate 2*j(m) - z(m).\nAnswer: -2*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140736854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i. Let m(c) = -2*c**2 - 7*c - 6. Let j(t) = 3*h(t) + m(t). Let b be j(5). What is the third smallest value in b, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15937 and -5?\nAnswer: 0.79685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.94313 decades in millennia?\nAnswer: 0.5194313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1173 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b2ad (base 16) in base 11?\nAnswer: 31403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqvoqoqssqo. What is prob of picking 1 s, 1 q, 1 e, and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -4. Let b(k) = -10*k**3 - k**2 - 3*k - 2. Let g be b(-1). Differentiate 2*c + g - x - 7 with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*i = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-8)\/96)\/((3\/(-3))\/(-71*1))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185 and 320.\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 1:15 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4.6 (b) -0.4 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-60))\/((-21)\/(-12) - 2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-9)*219\/73?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.3, -1142, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1061.\nAnswer: 3\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r**2 - 11. Let f(p) = -p**2 - 6*p - 5. Let y be (-8)\/(-12) - 17\/3 - 0. Let t be f(y). What is n(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) - -2*1*sqrt(133))\/(sqrt(14)\/sqrt(2)*4))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 14*h**2. Let r = 60 + -19. What is the remainder when r is divided by s(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4 - 14 + 2*x + 19 - 18. Let n be m(10). Solve 0 = -s + n*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -611 + 696. Calculate the highest common divisor of 442 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4515 divide 434039686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 1) - (-7 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 19*r + 13. Let j(a) = -3*a - 2. Let n(v) = 6*h(v) + 39*j(v). Let m(g) = 36 + 3*g**2 - 36. What is m(n(w))?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (1 - -8 - (-1 + 9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 100*q - 73*q - 72*q.\nAnswer: -45*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151\/22408 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 376*d**5 + 142*d**3 - 10*d**2 - 154151*d - 16 wrt d.\nAnswer: 7520*d**3 + 852*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(sqrt(204)*-2)\/sqrt(12).\nAnswer: -12*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-64))\/((-46)\/(-92))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 48. Let j = -17 - g. Let b = j + 124. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10266 + -9577. Calculate the remainder when a is divided by 223.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2140 divided by -4.\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302040 is divided by 792?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -164630 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 4*u + l, 2*u = -2*l - 35 + 131. What is the smallest common multiple of 15 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2549 (base 11) in base 5?\nAnswer: 101240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 9 - 6. Let z = -7 - g. Solve -a = -3*t - 2, 0 = -5*a - t - z + 34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1700)*-1 + -2 - 6*(1 + sqrt(1700))))**2.\nAnswer: 1820*sqrt(17) + 83469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*l - 16, 442*d = 443*d + 73*l - 362 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220056 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 5*i + 5*i - 5 + 5 + i**2 - i**2 - i**2 + 3*i**2 + (4 - 3 + 0)*(-3 - 3*i**2 + 3).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23322451 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 155070 (base 9) to base 5\nAnswer: 11024222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 1.54. Let r = 1.1400047 + m. Round r to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/2*(-16)\/(-10). Let h be l\/15 - (-8)\/60. Suppose -h*y - 39 + 263 = 0. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 51, 129, 245, 399, 591?\n\"Answer: 19*i**2 - 17*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.1 + -0.1. Let u = -3.7 + b. Let j = 0.33 - 0.53. Put u, j, -0.3 in ascending order.\nAnswer: -0.3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72352 and 1330.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.03 + 5. Let d = 0.55 + c. Round d to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*g)*(-3 + 2 + 2)*(-4*g - 1 + 1) - 302122*g + 302122*g + 368*g**2.\nAnswer: 380*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10039735117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3557056 or 3557063?\nAnswer: 3557063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/15 + -10 + 88704\/9030.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 8*q**6\/285 + 21*q**5\/190 + 5*q**4\/38 - q**3\/57 - 3*q**2\/19 + 629*q. Factor j(p).\nAnswer: 2*(p + 1)**3*(8*p - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 4. Let d be f(0). Suppose d*b - 13 - 1 = -p, b = 5*p - 7. Suppose -5*m + 2*r + 153 = 6*r, -2*r = -b*m + 105. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*z + 186*z = 11 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6053 - -6055. Suppose 0 = 5*s - 13 - 17. Solve j + l*j = -s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -147*l + 5. Let x(k) = -149*k + 6. What is -5*j(i) + 4*x(i)?\nAnswer: 139*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20 + -7 + -1*(-6)\/(-3). Let r(z) = z**3 - 11*z**2 + z - 16. Give r(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81.43 - 81. Let q = 0.599104 + -0.199104. Which is the third biggest value? (a) s (b) 1\/4 (c) q (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*b**3*n**3*s**3 - 21*b**3*n + 6*b**3*s**3 - b*n**2*s**2 - 2*n**3 wrt s?\nAnswer: 618*b**3*n**3 + 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/(1\/90). Let a = 100 - q. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 366?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, h: 7, b: 4}. What is prob of sequence bbhz?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*p**4 - 6*p**3 + 8*p + 3 - 2*p + 26*p**4 + 25*p**2 - 25*p**2.\nAnswer: -3*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 15714*u.\nAnswer: -15714*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -12*t - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2962163 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14020 divided by 3?\nAnswer: 14020\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-38)\/(-154) - 2\/11.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 128. Let d = x - 518. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 163547157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9224, 9222, 9220?\n\"Answer: -2*l + 9226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 12530, -351 in decreasing order.\nAnswer: 12530, 11, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3599*o**3\/3 - o**2\/2 - 148*o - 2586. What is the second derivative of u(a) wrt a?\nAnswer: 7198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:51 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5 - 31834*b**4 - 125154398*b**3 + 12104499986*b**2 - 295155600800*b + 283176287048 = 0 for b.\nAnswer: -8006, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 9 - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648, -641, -622, -585, -524, -433?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*f + 6, 3*c = 4*c - f + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -475270\/2743 less than -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*35\/21*(-140)\/(-1225)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-455)\/(-39) + -11)\/((-4)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from yyvvdvchcdyhccfd?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14333, -14331, -14329?\n\"Answer: 2*j - 14335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2. Let o be m(-2). Suppose -o*s - 1671 = 245. Let y = s + 844. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 57 = a, 240 = 4*a + 2*n + 2*n. Is 2 + -2 + a - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -174. Is 13 a factor of (-2 - -1)\/(t*(-4)\/4420)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315\/3969*-105*-9\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*(8 + -10). Suppose -r*d = d - 3. Suppose 4*m + 0*l = 5*l - d, m + 5*l = 6. Is 3\/7 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 2854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/(-350) + ((-108)\/8 - -4) - 55\/(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 123091792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(16\/5)\/(a*a\/(a*a*(a**(-21)*a)\/a*a*a*a))*(a*a**(-5\/2)\/a)**(2\/5) assuming a is positive.\nAnswer: a**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 + -290. Suppose l*t - 4536 = -0*t. What is the greatest common divisor of t and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 45459.\nAnswer: 45459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 11) to base 8\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*t**3 + 7 + 9*t**3 - 8 + (4 - 2 - 1)*(12*t - 12*t + 5*t**3) + 0*t**3 + 0*t**3 - 2*t**3.\nAnswer: -10*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 161323*f + 26 = 161328*f - 16, v + 5*f - 27 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -131. Let v = 8 - 8.06. Let w = v - -0.46. Which is the third smallest value? (a) -1 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0 - v + 6*v - 24. What is the units digit of z(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 25*h + 496. Suppose 257*x + 7293 = -304*x. Give q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*m*n**3 - 359*m*n - 2*m - 1121*n**3 + 2*n wrt m.\nAnswer: 5*n**3 - 359*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1.3, -89\/2?\nAnswer: -89\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27188765 divided by -5437753.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiiy. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2646 + 2674. Solve -o = 42*n - 56*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5 - 3 - 4*s**2 - 8*s + 26*s + 40*s - 15*s. Let n be w(-9). Solve -10 = -5*q + n*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53799301 to the nearest integer?\nAnswer: 7335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddpp when four letters picked without replacement from {w: 4, d: 2, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -12*(-3 - (-927)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/18 and -97\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-215306)\/1183)\/(42\/(-15))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 2 - (47 - 91 - -36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -227*m - 4. Is t(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/3)\/(3\/(-9)))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8646?\nAnswer: 2, 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/208 and 137\/1368.\nAnswer: 35568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 165479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + j + 24 = 5*j, 4*v + 2*j = 24. Suppose -2*o + 3*f + 87 = 2*o, -5*o - 2*f = -126. What is the highest common divisor of o and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -5\/3*q**3 + 65 + 5\/2*q**2 + 100*q. Find s such that k(s) = 0.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h**2 + 11*h**2 - 238*h + 12*h**2 + 7*h**2.\nAnswer: -h**2 - 238*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 414*m + 56810. Calculate z(-133).\nAnswer: 1748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.243 in 0.5, 262\/9, -1.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + 1.8. Let h = -0.8 - w. Sort h, -2, 2\/9 in decreasing order.\nAnswer: 2\/9, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.8202 and -198.\nAnswer: -954.3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13 - 3*x**3 - 13 + x**2 + x. Let i = 19 - 17. Calculate the remainder when l(-1) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78300)\/1425 - (-9 + (-1183)\/(-133))\/(-2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1613, -1615, -1617?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230.8 less than 238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 635975.2 nanometers in kilometers?\nAnswer: 0.0000006359752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {f: 1, h: 3, g: 6, o: 1, u: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -759 + -11\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmffkmmzkktkmtmkm. What is prob of picking 2 m?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 902?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 413 = -449 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 5*x**3 - 8*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:16 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -7*q**6\/15 - q**4\/6 - 19*q**2\/2 + 2*q + 11. What is the third derivative of w(l) wrt l?\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*m + c**3 + 2*c**2*m + 2*c**2*t**3 - 27*c**2 + 35*c*m*t**3 with respect to m.\nAnswer: -c**3 + 2*c**2 + 35*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x. Let o(u) = 3*u**2 - 19*u. Determine a(o(f)).\nAnswer: -24*f**2 + 152*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4342334 (base 5) to base 7.\nAnswer: -430561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by 18406\nAnswer: -180\/9203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssq when three letters picked without replacement from dsdqssdqdds.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11)*p)**(11\/3)\/(p\/p**(-1\/12)*p*p\/p**(-7\/4)) assuming p is positive.\nAnswer: 1\/sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747a7a (base 12) to base 3.\nAnswer: 10110101210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3351, -3349, -3347, -3345, -3343?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 16457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17168418 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5682544 and -0.5.\nAnswer: 0.7841272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2\/5*r**2 + 16\/5*r - 9 - 2\/15*r**3. Determine m so that v(m) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.9 or 436?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4 - 4*c + 4 + 6*c**2. Is z(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516853303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2415 + -2423. Let n(m) = -m**2 + 6*m. Let x(w) = -w**2 + 4*w. Determine j*x(l) + 5*n(l).\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3394)\/(-84))\/1 + 158\/237 - 5. Is 37 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 + 3*y + 9. Let l(t) be the first derivative of t**4\/2 - 5*t**3\/3 + 7*t**2\/2 + 19*t + 2. Let a(s) = 6*l(s) - 13*o(s). Give a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20638033 by 20638033.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:10 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 616 = -2996. Suppose -p = -2*v + l, -4*v + 5*v - 65 = -4*p. What is the remainder when 133 is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 207265?\nAnswer: 621795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*r = -2, -b - 2 = -3*r - 0. Suppose 0 = 3*k - 5*k + 5*m + 21, b*k + 4*m = 0. Solve 0 = -2*h - k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -95, -286, -515, -800, -1159?\n\"Answer: -3*j**3 - j**2 - 167*j + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1935 in -0.3, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102, -106, -80, -18, 86, 238, 444?\n\"Answer: o**3 + 9*o**2 - 38*o - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Let f be 0 - 1 - (1 + m). Is ((f - 3)\/1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-375)\/(-660) + (-6)\/8\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-6))\/(-3)*64\/16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l + 6*l**4 + (3 - 6 + 1)*(3*l - l - 7*l)*((-4 + 4 + l**2)*(-4*l + 3*l + 3*l) + 1 - 1 + l**3).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*a**2*n - 2*a**2 - 226*n wrt a?\nAnswer: 12*a*n - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:17 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 - 26*v - 19. Calculate k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 8 in descending order.\nAnswer: 8, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 - 7 - (-2 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56337 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*o + 0 + 5\/2*o**3 + 5*o**2 - 5\/2*o**4 = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8834, 17921, 27202, 36671, 46322, 56149?\nAnswer: 66146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - 5*b**2)*(205 + 48 + 427 + 117 - 123).\nAnswer: -3370*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + 57a?\nAnswer: 56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 3*d**4\/8 + 146*d**3\/3 + 1623*d**2. Give b(-34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 125, 312 in decreasing order.\nAnswer: 312, 125, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055395 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-708)\/(-176) - 1\/(-4)) + -4. Let l(r) = 13*r + 414. Let f be l(-32). Let k = 0.1 + 0.4. Which is the smallest value? (a) 0.4 (b) y (c) f (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {s: 2, r: 5, q: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -5 in descending order.\nAnswer: 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.1 (b) -0.2 (c) 5 (d) 25\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1110 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3806712 is divided by 1725?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 + 252 + 863)*(-2*o**5 + o**5 + 0*o**5).\nAnswer: -1307*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 + x + 1. Let v be l(-1). Suppose -v*r - 5*i = -0*r - 45, 0 = 4*i - 12. What is the remainder when (-12)\/(-2)*18\/12 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002239 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*d - 5280 = 104*d + 72*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 + 751*l**3 - 2*l - 1117?\nAnswer: 12*l**2 + 4506*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29374, -29377, -29382, -29389?\n\"Answer: -w**2 - 29373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 58010?\nAnswer: 116020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -1)*(-14)\/(-6). Let f = -44 - -48. Solve -u = -f*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.03 (b) 5 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, w: 1, f: 2}. What is prob of picking 1 w and 1 l?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4 = -4*u. Let v be (-1 - 1)\/u - -2. Suppose 0 = -3*t - 5*r + 20, v = -4*t - 2*r - 0*r + 8. Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 42 - 27 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*d - 3 + 4 - 137*d - 28*d.\nAnswer: -242*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 93\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10222576 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1436*w**3 - 2886*w**3 + 1451*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (48*36\/1056)\/(1*24\/33)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7013664 and 28968?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:29 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25482 is divided by 263.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 16*d**6\/15 - d**5\/20 - 5*d**4\/2 - 1485*d**3\/2 - 11536*d. What is the second derivative of o(i) wrt i?\nAnswer: 384*i**2 - 6*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3, -8*t - 5 = j - 4*t. Suppose -12 = 4*s, -3*h - 9 = -3*s - 21. Let o be 3 + h\/(-2)*0\/3. Sort o, 26, j in decreasing order.\nAnswer: 26, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15375 and 7008909?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.6 - 22. Let i = t - -12. What is the third biggest value in i, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*-1)\/((-544)\/192)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177675 divided by -69.\nAnswer: 2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6057*c + 97012. Determine r(-16).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*3\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**7*s)\/s**(2\/49)*(((s**8*s)\/s)\/s)**26 assuming s is positive.\nAnswer: s**(8671\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3771936617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/7)\/(-8 + 10890\/1365). Solve 21*i - g*i + 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.03 + -0.03. Let f(a) = a**3 - 12*a**2 + a - 7. Let l be f(12). Suppose u = l*x + 20, u + 2*u + 3*x + 12 = 0. Sort 0.05, w, 0.2, u.\nAnswer: u, 0.05, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 240*b**2 + 25440*b + 20. What is y(-106)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -2. Let s be ((-4)\/(-7 + 3))\/(4 - -3). Which is the third biggest value? (a) s (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216776 divided by 343?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 342.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2\/(1\/1). Let x = 0 - i. List the prime factors of (0 + x)\/((-1)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o + 16 = 0. Suppose 5*w = -3*i + 45, 0 = -o*w - 4*i + 11 + 17. Let u = w - 9. Solve 1 = h - u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-5\/3)\/l)\/l*l)\/(l*l*l**19*l))**(1\/71) assuming l is positive.\nAnswer: l**(-74\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -113 + -16771?\nAnswer: -16884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 36*q - 336*q**2.\nAnswer: -336*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -11*a**9\/1008 - a**6\/24 + 7*a**3 + 21. Let p(z) be the third derivative of y(z). Find the third derivative of p(r) wrt r.\nAnswer: -1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*8*34\/68. Let w be 2*10\/(g\/(-3)). Solve -4*o = 2*b + 18, -4*o + w*b + b - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48569 at least 48564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1078*f - 1484 = 1071*f. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -2329850.\nAnswer: 1\/232985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b**4 + 561*b**3 + 375*b**2 + 42*b = 0 for b.\nAnswer: -1\/2, -1\/7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 16)*30\/135?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3268, -3275, -3282, -3289?\n\"Answer: -7*k - 3261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/7315 - -14612\/21945. Which is the third smallest value? (a) -7 (b) -3\/8 (c) -291 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181746 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let a(m) = -88*m + 8. Let j(o) = 3255*o - 300. Let b(h) = 150*a(h) + 4*j(h). Let c(w) = -1978*w. Let l(q) = 43*b(q) - 4*c(q). Calculate l(r(x)).\nAnswer: -172*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*x + 30, 2*x - 11 = -5*t + 14. Suppose -2*g + 6718 = -t*z, -3*z = -4*g + 15628 - 2180. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11799 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*k**2 + 1807*k**2 + 994 + 1618*k**2.\nAnswer: 3824*k**2 + 994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7507 - 3?\nAnswer: -7511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1094 and 478260698.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 3582*x**4 - 3579*x**3.\nAnswer: -3*x**3*(x - 1193)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:38 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*r + 5*r = -115, -2*r - 103 = -5*a. Let b(h) be the first derivative of -h**3\/3 + 5*h + 2. Calculate the remainder when a is divided by b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/13, -3, 1\/8, 0.009?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let d(x) = -x**2. Let m = -3 - 0. Let t(a) = 8*a**2. Let c(g) = m*t(g) - 15*d(g). Determine c(y(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -670480956 divided by 118\nAnswer: -5682042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u. Let l(v) = 4*v + 0*v + v + 3. Let b(y) = 4*y + 2. Let z be 54\/9 + (-4 - -1). Let i(j) = z*b(j) - 2*l(j). Calculate i(f(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**17)**(-8))**(-37\/4) assuming n is positive.\nAnswer: n**1258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 3*k + 1. Suppose -18*q + 6 = -16*q. Let p be i(q). List the prime factors of 2\/p + 220\/5.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.7. What is the closest to x in -1\/2, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97610 = 15679*s - 153254 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w + 4443 - 438 = 0. Solve w*y = 39*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 2*j = a + 15, 2*a + j - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/524 and 35\/6108006?\nAnswer: 12216012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -28598 greater than -28600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 602.94 + -601.94. Suppose 18 = 4*d - 2. Which is the second biggest value? (a) v (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366 divided by 61.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 621371554 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: Collect the terms in -7*y**3 + 24*y**3 + 5*y**3.\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323688 - 52632 = 16*b. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 4*o - 2. Let j = 5 + -2. Let z(u) = u**2 - u - 1. Let k be z(j). Calculate a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5 + 24. Let u = -18 + m. Is u at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -0.3 (b) -2\/79 (c) 1\/4 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, 1 c, and 1 f when four letters picked without replacement from cfqcirrccir.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = c. Let x(t) = -3*t**4 - 2*t**3 + t**2 - 4*t - 4. Let d(s) = -5*s**4 - 3*s**3 + 2*s**2 - 7*s - 7. Let j(g) = c*x(g) - 4*d(g). Factor j(y).\nAnswer: -y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.7 + 54.7. Let r = s + -40. Sort 1\/15, r, -2.\nAnswer: -2, r, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445780714 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 5*p + 4. Let z be s(3). Suppose 5*y + 3*k = 36, -3*k - 8 = -z*k. Solve -2*u + y*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 (base 15) to base 4\nAnswer: -30011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/120)\/(((-4)\/(-6))\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 - -76. Let h be (b*(-3)\/9 - -2)*9. Suppose -5*a - 46 = -h. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9448.68 minutes?\nAnswer: 157.478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19270 = -209*c - 3027 + 33499. What are the prime factors of c?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 2\/(3 + -4). Suppose g*n = -n. Solve -8 + n = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1518 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a**2 - 7*a - 11. Let f(b) = -5*b**2 - 4*b - 6. Give 7*f(s) - 4*v(s).\nAnswer: 5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -d - 21, -19*d - 4*w = w - 51 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -4 + 1)\/(-1*(-4 + 8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -27*y - 10*y. Let n(o) = -10*o**3 - 4*o**2 + 2*o - 4. Let q(x) = 10*x**3 + 3*x**2 - x + 3. What is y*q(g) + 3*n(g)?\nAnswer: 10*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3707972*u + 3707972*u - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2080 + 2060. Which is the second smallest value? (a) -1\/2 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.9 - 3.9. Let q = -4.9 + w. Sort q, -2\/15, 2\/5 in decreasing order.\nAnswer: 2\/5, q, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 - -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*s + 7, 0 = 5*n - 3*s - 0*s - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 847 + -3?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10811 - 17726. What is the units digit of 11\/(99\/6) + m\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 10*g**2 - 15*g + 13. Let b(s) = 5*s**3 + 19*s**2 + 30*s - 26. Let p(i) = -3*b(i) - 7*v(i). Let t be p(14). Is -19 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 35\/599?\nAnswer: 35\/599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r. Suppose z + 0*z + 15 = 4*o, 3*z + 9 = r. Suppose 29 = o*i - 70. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.5 - -49. What is the second smallest value in -1\/5, k, -1.53, 4, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**7\/2520 + 13*v**6\/720 - v**5\/8 + 9*v**4\/8 + v**3\/3 + 30*v**2. Let g(l) be the second derivative of d(l). Calculate g(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*y - 21, -z = -4*z + 2*y + 1. Let d(u) = u**z + 4 - 4 + 7 + u + 4*u**2 - 4. Determine d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**2 - i - 1. Let j be r(2). Find the second derivative of j*b + 28*b**3 + 12*b - 19*b + 28*b + 2 wrt b.\nAnswer: 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:53 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5110 and 2870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.058464 - -1.\nAnswer: 1.058464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w. Let s(q) = 3*q - 4*q - 3*q + 5*q. Calculate -5*s(z) + v(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 32. Suppose n = 21*p - 17*p - 604. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3830256, 3830253, 3830250, 3830247?\nAnswer: 3830244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l + 4*p - 1, 4 = -2*l - p. Let x(r) = -r**3 + 5*r**2 + 5*r + 6. Let h be x(6). Sort h, -5, l in decreasing order.\nAnswer: h, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.1. Suppose 610 = -2*s - 3*s. Let y = 1100\/9 + s. Which is the nearest to q? (a) 1\/2 (b) -3\/8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 66822 = 3*c, 257*u - 258*u = 3*c - 66837. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(6*13\/(-234))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -6. Suppose 0*r - 5*r = 3*h - 226, -2*h - 4*r = -152. Calculate the greatest common factor of p and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 196*m + 3502. Calculate v(-18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4214671 to three decimal places.\nAnswer: -1.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 23.8 (c) -1 (d) 0.7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12711658*y**2 - 23352592.\nAnswer: -25423316*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90.833 - -0.167. Let d = j - 51. Let o = d + -40.1. Sort -3, -0.2, o, -4.\nAnswer: -4, -3, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740787 smaller than 2740787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83802 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 560, -1, -369 in decreasing order.\nAnswer: 560, -1, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 6, c: 6}. What is prob of picking 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/(i**(-2\/61)\/i)*i)))\/i**(2\/13)*(i*i**(18\/5))\/i**(1\/33) assuming i is positive.\nAnswer: i**(1105462\/130845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 14. Let y be 19\/21 + (-4)\/q. Determine p so that y*p**2 + 2\/7*p**3 + 0 + 2\/7*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4266, 4257, 4264, 4293, 4350, 4441, 4572?\n\"Answer: r**3 + 2*r**2 - 22*r + 4285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 8*z - 12. Let c be r(-5). Let w(n) = 3*n**3 - 2*n**2 - 2*n + 5. What is the tens digit of w(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78\/(-12) + 2\/4. Let v = x - -10. Calculate the remainder when 6 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -59*z + 2. Let v be u(-5). Suppose m = 5*y - v, 19 - 25 = -2*m. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32221223 (base 4) in base 11?\nAnswer: -410a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:53 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + -2. Let y = v - -5. Let o(g) = -g**2 - 11*g - 6. Is o(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/(2\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(860\/210 - 4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2. Let g be (16 - 13) + (-7836)\/(-2). Let z(d) = -42*d**2 - g + 3921. Determine z(o(y)).\nAnswer: -378*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/30)\/(2 - 10\/6). Let u(a) = 2*a - 7. Let s be u(5). Solve -s*g = -h + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.9248951 to 1 dp.\nAnswer: 47.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 + 584. Let s = 389.00621 - y. Round s to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -4137839?\nAnswer: -4137840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5982 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - j + 395 = -r, 4*j = 3*r - 260. Suppose -3*y + 34 = -2*p, -20 = -4*y + p + 22. Calculate the greatest common factor of y and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d2d67 (base 14) to base 2\nAnswer: -1111011111010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19\/((-76)\/904)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 14*i = p + 10, 30 = 3*p - 3*i for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16558 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 5797 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from {j: 4, s: 4, i: 2, p: 2, g: 3, z: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10228435*b**4 - 2*b**3*o - 49*b**2*o - 2*b**2 - 111*b*o + 39*o + 1 wrt b?\nAnswer: 245482440*b - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127728 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.39? (a) -7.7 (b) -0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 52. Suppose 0*v - 4*a - y = -4*v, 4*a = 8. Let w(z) = z**3 - 11*z**2 - 13*z + 13. Determine w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 125, 100, 37, -82, -275?\n\"Answer: -3*t**3 - t**2 - t + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(48\/20 + 4\/(-10)). What is the units digit of (-49)\/(-14)*(362\/m + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -0.8. Let z = -1.4 + 2.2. Let w = x + z. Which is the nearest to 0? (a) -1\/12 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -131438*n + 1840106. Give o(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 17, 29, 55, 101, 173, 277, 419?\n\"Answer: v**3 - 2*v**2 + 3*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3723 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 877811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 2*q**2 + 3*q + 3. Let u be x(-2). Let m be 2\/(3*u\/(-27)). Let p = m - -2. What is the greatest common divisor of p and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 34. Give d(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*x - 165067012, -x + 441 - 444 = 0. What is c rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i + 62*i + 470 = 0. What are the prime factors of i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m + 1. Let j be q(1). Suppose -5*b + 8*b - 789 = j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8612433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6938*n**4 + 334*n + 11?\nAnswer: -83256*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 - (-2 + 0 - 0)) + -776 + 770?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.36 from -115.563.\nAnswer: -116.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -814*k**5*r + 18*k**2*r + 7*k*r wrt k?\nAnswer: -48840*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 370\/43956*138\/20 and 103\/1650.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15 + 2 = -b, 0 = -4*b + 4*x + 44. Which is bigger: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/134694656?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - ((-19)\/7 - 1). Suppose 2*o = 3*h - 280 - 885, -h - u*o + 407 = 0. Is h - ((-2)\/(-6) + 7\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12403\/78 - -2052\/13. Which is the fourth smallest value? (a) -0.5 (b) r (c) 1\/7 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)\/sqrt(6))\/sqrt(9))**2 - sqrt(2) - (sqrt(12)\/(sqrt(6) - sqrt(6)*-2))**2) + -5.\nAnswer: -29\/9 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 16*w + 12. What is m(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -7251721507.\nAnswer: -7251721523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/15, 1, -3, -0.13 in descending order.\nAnswer: 3, 1, -0.13, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(170))\/((sqrt(80)\/sqrt(4))\/sqrt(2) + sqrt(10)) - ((sqrt(187) + -2*sqrt(187))*-6)\/((sqrt(99)*-1)\/sqrt(9)).\nAnswer: 17*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73\/5 + 14. Let n = -833\/16 + 301\/16. Let r = n - -33. Sort -5, o, r.\nAnswer: -5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*-3 - sqrt(4))\/sqrt(2) - (sqrt(12)\/sqrt(6) + -2).\nAnswer: -5*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 10*x - 34 = 0. Suppose 0 = 20*r - x*r - 39. Suppose 5*q = 257 + 43. Calculate the remainder when q is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.07 times 24.4169\nAnswer: -1002.802083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (120716\/1030)\/(-293)*-55*1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 0 - (9 - (-7 + (3 - -3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1096 in -0.08, 379, 3, 4?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -11758.\nAnswer: -1\/11758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*((-12)\/(-12))\/(15\/3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/q)\/q*q*q**(-3)*(q**(-2\/5))**27 assuming q is positive.\nAnswer: q**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.4. Let p = -1 + o. Let g = p - 2. What is the second smallest value in g, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba (base 15) in base 6?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 11*g - 14*g. Let y be (-1035)\/(-25) - g\/(-5). Let p = y - 23. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -957634755*m**3 - 2761*m**2 - 5*m + 12701 wrt m.\nAnswer: -5745808530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/2 less than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 4*y**2 - y. Let p(o) = -o**2 - o - 4. Let k be p(0). Let u = 2 - k. Suppose -w + 19 = 5*m, -15 = -5*m + w - u*w. Calculate g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -405 + -4?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37468 + 37467. What is the smallest value in -0.2, z, -13.5?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/(d*d**(-2))*d**(-1\/3)*d**6 assuming d is positive.\nAnswer: d**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101774656043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7726769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334 divided by 10398.\nAnswer: -667\/5199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.79 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1037 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 2*q - 1. Let k be a(-2). Suppose 0 = k*d + 2*d. Solve d = 2*f + f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-1)\/((-43)\/(-37)). Let q = -26498 - -26498. Is q at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/(30\/(-120))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 2321?\nAnswer: 2320.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m + 9*m = 7*m. Suppose -122*s + 126*s - 52 = m. Solve s - 11 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-1610)*(-9)\/((-378)\/(-12)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343\/36 + -39\/4. Suppose 5*k - 27 = s, -2*s = s + k + 1. Let f = -923\/56 - -118\/7. Sort f, o, s in decreasing order.\nAnswer: f, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 1, h: 3, i: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*i**2*k**4 - 2*i**2 + i - 366*k**5 + 39*k**2 - 6 wrt k?\nAnswer: -4392*i**2*k - 21960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieeiiieieee. Give prob of picking 1 e and 3 i.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 + 253 + 1152*d - 68.\nAnswer: 1152*d + 468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3402? (a) -1 (b) 2\/3 (c) 3\/2 (d) 5\/27 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-212)\/44 - (-4)\/(-22). Let g = 0.6 - 0.1. Let t(j) = j**2 + 19*j - 38. Let q be t(-21). What is the third biggest value in q, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -118, -257, -464, -745?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 32, -8, -74, -172, -308?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202200 (base 4) to base 7.\nAnswer: 6303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.318 - 0.31406. What is h rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - 635*c**2 + 3439*c - 400. What is l(-164)?\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**3 + 4*b**3 - 9*b**3 + b. Let o(s) = -3*s**3 + 7*s**2. Let h(q) = -o(q) - 4*u(q). Suppose 5*r + 336 = -43*r. Calculate h(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7340753?\nAnswer: 7, 17, 61687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 20635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(84) - (2*sqrt(84) + sqrt(84)) - sqrt(84)) - sqrt(84)) + (-1*sqrt(84)*-2 - sqrt(84) - sqrt(84)))\/(sqrt(108)\/(sqrt(27)\/sqrt(3)*-6)).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1141 (base 5) to base 9.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 2*d**2 + 0*d**2 + (-d + 6*d - 3*d)*(556 - 556 + 152*d) to the form o + w*d + g*d**2 and give g.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073386529 less than -1089095?\nAnswer: -1089095.073386529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a72 - 7693?\nAnswer: -4921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 20, -4*l - 49 = -7*l + 5*g. Suppose -a + l*u - 3*u + 10 = 0, -3*u - 6 = 4*a. Solve a = -d - 3*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541571 is divided by 267?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvtt when four letters picked without replacement from {p: 1, k: 2, y: 3, b: 1, v: 1, t: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)*k\/(k\/(k*(k**44\/k)\/k)))**5)**(-8\/3) assuming k is positive.\nAnswer: k**(-568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*i - 18, 3*b - 2*i = 13 - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -16*x**2\/3 + 57356*x\/3 + 4780 = 0.\nAnswer: -1\/4, 3585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:39 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (28 + -34 - -28) + -30\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose -2*k = 2*f + 2, -f + k - 2 = -11. Solve 0 = -f*a - 2*p + 6*p - 28, b = -2*a - 3*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033024211 rounded to 6 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*y - 178*y = -4*u + 1692, -2*y + 2 = 0. Calculate the highest common factor of u and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 4:46 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2014 divide 43032456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.09 + 0.09. Which is the second biggest value? (a) -0.5 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 4*g + 3. Let c be a(1). What is the greatest common factor of c and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-10 + 7 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5458*o**3 - 19360*o**3 + 5448*o**3 + 8455*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/28)\/(177\/(-59)))\/(6\/(-4))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -1\/210*p**6 + 0*p**3 + 4*p**2 + 1\/42*p**4 + 0*p**5 + 0 + 0*p. Factor d(a).\nAnswer: -4*a*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588.257 litres in millilitres?\nAnswer: 2588257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 476, 710, 934, 1148, 1352?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**3\/6 + 9*f. Let t(w) be the second derivative of -2*w**3 + 3*w. What is z(t(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tns when three letters picked without replacement from zsttsttsnsst.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3)\/(-12))\/(15\/(-180))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j**2 - 14*j - 6. Let m(k) = 7*k**2 - 5*k - 2. What is -3*a(s) + 8*m(s)?\nAnswer: -4*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239 (base 11) to base 14.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 16880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -14 + 21 + -38 + 26.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s + 912 = 74*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -249 + 237. What is the nearest to k in -4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 8*m + 156, 0 = 5*v - 10*m + 8*m - 131. Suppose -3*n = n - 16. Solve 9*q + v = -n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -14*t - 4. Let p(l) = -279*l - 81. Let z(k) = -81*m(k) + 4*p(k). Let g be z(1). What is the highest common divisor of g and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1415 and 1981.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146071 and 13582754?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/48*(1 + 13). Let r(h) be the first derivative of 6*h - 3\/2*h**2 + z. Calculate r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2542 (base 13) to base 9.\nAnswer: 7231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j + 7 = 0. Suppose -8*v = -j*v - 236. Let o = -83 + v. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141\/27 + 2\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1469280 divided by 5.\nAnswer: 293856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47496, -47494, -47492, -47490?\n\"Answer: 2*b - 47498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3*h*t + 4*d**3*h*v + d**3*t - 4*d**3*v + d*t*v - 7*h*t*v wrt h?\nAnswer: -2*d**3*t + 4*d**3*v - 7*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 45*h - 189. Let r(q) = 1408*q + 8452. Let w be r(-6). Give s(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31949290 divided by 5\nAnswer: 6389858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 - 13*p**3\/3 - 571*p**2\/6 + 1282*p\/3 - 442.\nAnswer: (p - 39)*(p - 2)**2*(p + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*8\/1488)\/(-1*(-5)\/(-5)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3040*k*w**4 - 13*k*w + 3*w**4 - w**2 + 22569*w wrt w?\nAnswer: -36480*k*w**2 + 36*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-220))\/((-21)\/(-1785))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 513193 divided by -9\nAnswer: -513193\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -2769194\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33\/742 - -15536\/21889. What is the common denominator of u and 25\/8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -56.\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47455 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7370*w + 412713. Determine b(-56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10065, -21500, -35645, -53856, -77489, -107900, -146445, -194480?\n\"Answer: -226*f**3 + f**2 - 9856*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 1 - 10)*(0*w**3 - 10*w**3 - 4*w**3) to q*w + d*w**2 + n + a*w**3 and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1952*b. Let s(n) = 3*n. Determine 122*s(f) + w(f).\nAnswer: -1586*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 213710540 a multiple of 6388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25339 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00864816546 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 37. Let u be (14 - -4) + -4 - 3. Let o = -16 + 22. Let r(n) = n + 19. Let t(d) = o*a(d) + u*r(d). Differentiate t(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10 + (-6478)\/(-820) + -10 - (-164)\/(-15).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95389 - -495389. Let o(y) = -3*y - 1. Let i be o(1). Let z be (4 - i\/4)*s. Round z to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2577, 3\/7, -1\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241842 to the power of 1\/2, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115348?\nAnswer: 2, 28837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1658, 6480, 14468, 25628, 39966, 57488, 78200?\n\"Answer: b**3 + 1577*b**2 + 84*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*p - 33*p + 6 - 6 - 20*p - 27*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 206*l + 94. Let o be p(-52). Which is the closest to o? (a) 9\/2 (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 37.2. Which is the smallest value? (a) -1 (b) s (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1913043 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 1. Let m(c) = 37*c + 6. Let o(v) = 5*k(v) - m(v). Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*48\/(-8). Let t be -3 + (-2 - (i - -2)). Let m be 1 + 0 + 30\/(-12). What is the biggest value in t, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 6*s - 6. Let p be r(4). Let c be (-2)\/(3 - p\/(-4)). Let z = 32\/3 + -10. What is the third biggest value in c, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e9e26 (base 15) to base 3.\nAnswer: -1101201021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -0.6 (d) 3158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.16 times 1?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 9. Let v = 10 + -19. Let a be (2 + 4\/(-3))*6. Suppose -a*w - 26 = 5*y, 2*w + 2*y = -3*w - 24. Let h(s) = -s**2 - 4. What is v*h(m) + w*t(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(-9)))\/(w\/(w\/w**(-3\/2)))*(w*w**(2\/3))**(-50)*(w*w**(4\/5)*w*w**5)**(-9) assuming w is positive.\nAnswer: w**(-4321\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22951094.\nAnswer: 2, 151, 75997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-7) - (-10 - -8). Let f = -10\/23 - -145\/69. What is the nearest to -0.1 in q, f, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 334411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -4 - -198) + 2. Let p = k + -201. Let z(i) = i**2 + 4*i + 4. What is z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/210 - p**4\/63 + p**3\/63 + 214*p**2. Factor a(g).\nAnswer: 2*(g - 1)*(3*g - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2) + 7\/1. Let g = -439 - -484. Calculate the highest common divisor of x and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 3*n**5\/4 + n**4\/4 - n**3\/3 - n**2\/2 + 6*n. Let y be o(2). Let i = y + -82. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3420.55 + 3343. Let f = 97 - 172. Let o = f - u. Round o to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5431.17 + 5402. Let t = v + 29. Sort t, -1\/3, 3.\nAnswer: -1\/3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1, -18204\/11?\nAnswer: -18204\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39058964 and 1204?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 18*x - 14. What is the lowest common multiple of 18 and c(11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89784790153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 367*n**2 + 6216*n + 108. What is x(-17)?\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*d - b, 0*d - 3*b = -2*d + 13. Let r(i) = -3*i + 30. Let n be r(d). Is (-1)\/((-1)\/(((-99)\/n)\/3)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofifhhkfiirfiih. What is prob of picking 1 o, 2 f, and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 34. Solve -p - 9 = j, -p - 14 = d*j - 4*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/6 - 37*s**2\/6 - 36*s + 42.\nAnswer: (s - 42)*(s - 1)*(s + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 8, -5, 3, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + d**5 + 0*d**5 + (-3*d**2 + 2*d**2 - d**2)*(2*d**3 - 3*d**3 + 3*d**3) + 5*d**5 - 2*d**5 - 7*d**5.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 121.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + l + 9, 2*j + 4*l = -18. Which is smaller: j or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 1228?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457 a factor of 261713244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*s - 358 = 3*s, 69 = w + 3*s. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 + 247*p**4 - 2*p**3 - 494*p**2 + p + 247 = 0. What is p?\nAnswer: -247, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, -7, 3\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -24, -5483 = -j + 5*h + 23117. What are the prime factors of j?\nAnswer: 2, 5, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 4*b - 7*b + (1 + 0 - 4)*(1 + b - 1) - 3 + 3 + b + (1 + 1 + 1)*(-3*b - b + 3*b) + 2*b - 3*b + 2*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/44 and (25\/4)\/(((-585)\/50)\/13).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*g + 680 = 0, -z + 2*g - 92 = -316. Suppose -i = 2*i - 342. Let c = z - i. What are the prime factors of c?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32179431 divided by 10726477?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2 and -85\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-36)\/4)\/(-9) - 3\/((-12)\/17264) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/32557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2913024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -1, 3, -28, -7, 0, 0.8 in decreasing order.\nAnswer: 3, 0.8, 0.04, 0, -1, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 179897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 - 14. Let d(m) be the second derivative of 53*m + 0 + 1\/2*m**2. Calculate 14*d(t) + q(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 - -6*(-9)\/(-621)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -264 + 264 - 8*b**2. Let c(z) = -z**3 - 7*z**2 - 2*z - 12. Let x be c(-7). Let y(m) = 0*m**2 - 4*m**2 - 6*m**2 + 9*m**x. Calculate y(u(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 22*o - 6. Determine w(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16.9, 0.3, 6 in descending order.\nAnswer: 6, 0.3, -1, -16.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160983427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 26*y - 131. Let r be d(6). Let g(a) = 2*a + 6. Let h(f) = -f - 3. Calculate r*h(o) - 6*g(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -3*j, 0*x = j + 4*x - 4. Let m = -279 + 3067\/11. Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 - 32 = -2*a, 0 = -2*b - 4*a + 10. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i**3 + 2. Determine q(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -3*w**5\/20 - 3*w**4\/4 - 2*w**3\/3 + 10243*w**2. Calculate a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 643019422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38246 + 38246.3500074. Let h = -0.35 + u. What is h rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26491d2 - 5?\nAnswer: 26491cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 8*z**2 + z + 4. Give g(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10336648 divided by -2584162\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 168036 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2 - (2 - 2)). Let x be 1 - ((-3)\/(-3) + n). Let c(s) = 19*s**2 - 10*s**2 - 3*s + 0*s + x*s. What is c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48240 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 392 + -387.8. Let l = -4.08 + q. Put 0, l, 1\/5 in decreasing order.\nAnswer: 1\/5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -25*t + 21*t + 25, 5*n - 6*t = -50 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.068843km in nanometers?\nAnswer: 8068843000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2096047 to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -10. Let d = 8945 - 8944.96. Put d, z, -0.3, -4 in ascending order.\nAnswer: z, -4, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 379 + -375. Suppose w + 46 = 4*o, -2*o - l*w + 29 + 3 = 0. Let k(m) = m**3 + 6*m**2 + m - 6. Calculate the remainder when k(-5) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16*z**3 - 2 - 1.\nAnswer: 16*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 146 + 36 = 0. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 124*z**7\/5 - z**4\/12 + 779*z**3\/3 - z**2 - 715. What is the second derivative of r(c) wrt c?\nAnswer: 62496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40033 (base 5) to base 11\nAnswer: 198a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8 + (11 - 20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - b**2)*(-3 + 1 + 1) - 3*b**2 + 12*b**2 + 4*b**2 + (-2*b - 3*b + 3*b)*(3*b + 2*b - 3*b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3387038 to the power of 1\/2, to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.93936 rounded to 1 decimal place?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 19*o + 2 - 12*o - 13*o + o**2. Let g(b) = 6*b - 1. Determine 2*d(h) + 5*g(h).\nAnswer: 2*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -25. Let p = 244 - 241.36. Let o = 2.24 - p. Put o, 4, b in decreasing order.\nAnswer: 4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 63*j + 143. Calculate v(30).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1399*u**2 + 2*u - 8801. Let x(c) = -2*c**2. Calculate w(x(v)).\nAnswer: -5596*v**4 - 4*v**2 - 8801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 - b**3 - b**3 + 51*b**2 + 8*b**3 - 51*b**2 + (0*b**2 + b**2 - 4*b**2)*(70*b + 408 - 408) to the form d*b**2 + j*b**3 + g + o*b and give j.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:58 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/7 + 94*x + 660\/7 = 0 for x.\nAnswer: -1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 + 2*g**2 + 280 - 278 - g**2 + 2*g - 2*g**4 as q*g**2 + z*g**3 + a*g**4 + r*g + i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 93845*c**3 - 1517355145*c**2 - 398725920*c - 26193780 = 0.\nAnswer: -18\/137, 16169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and -1061?\nAnswer: -91246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.6 (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/45*(-5)\/(-2). Let c be (-1)\/t*8\/4. Suppose 2*x + 2*f + 19 = -3*f, -x = -f - 8. Solve -x*p + 4*p = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(19) + sqrt(19)*2 + -5 - ((sqrt(133)\/(-1*sqrt(7)) - sqrt(19)) + 3*sqrt(304))) + 2)**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920365?\nAnswer: 5, 184073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14325 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vokezoak. Give prob of sequence ka.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/13 + 15144*j**2\/13 + 26277930*j\/13 - 9228598100\/13 = 0.\nAnswer: -3935, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30 - ((19 - -32) + 10 + -8)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 50, 152, 344, 656, 1118, 1760, 2612?\nAnswer: 3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 6. Suppose -5*g - 4*f = -126, -t*g + 2*f + 78 + 2 = 0. Suppose -1 = -n + g. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/8)\/s**(2\/7)*(s**(1\/3)\/s*s)**(-1\/9))**(3\/13))**(-34) assuming s is positive.\nAnswer: s**(391\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 25*c - 23. What is w(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -a - 170 + 184, 0 = -4*h + 4*a - 32. Factor 0*m + 2*m**2 - 1\/3*m**h + 0.\nAnswer: -m**2*(m - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/((-2)\/(-6)). Let r = 209 + -213. What is the nearest to -0.2 in r, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z. Let k = -14 + 16. Suppose -k*c - 4*y = 18, 4*c - 2*y - 7 = 3*c. What is x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7174*v**2 + 4026*v**2 - 3218*v**2.\nAnswer: 7982*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 10288580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-6 + (68 - -13)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14*h - 1 + 265671*h**3 - 5*h - 265681*h**3 + 2*h**2 to the form t*h**2 + a*h + c*h**3 + w and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -405 - 193. Let d = -27 + 13. Is (-2)\/(-7) - v\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 0.05, 3\/2, -2\/7, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -127, -263, -411, -547?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 11. Let y be g(5). Let z(p) = 5*p**2 + 12*p - 11. Is z(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26509\/5 - 5301. Which is the second biggest value? (a) 1\/9 (b) 1\/7 (c) k (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2250 = -2670. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = 3*m - 844, 0 = m + 3*l - 276. Let j(i) = -283 + m - 24*i - 2*i. Let z(n) = 4*n. Give z(j(u)).\nAnswer: -104*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 > -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l. Let p(u) = -77 - 39*u**2 + 77. Determine p(n(a)).\nAnswer: -3159*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 2:05 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/57 + (-33)\/133.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from zjzzjzjzzz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -x + 49 - 40, -2*x = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 42. Sort w, -1\/2, -4 in increasing order.\nAnswer: w, -4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 7*k**2 - 870*k + 368. What is m(33)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3802*q**2 - 171 + 170 - 2454*q**2 + 2*q - 2*q to y + g*q**2 + s*q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-6))\/(4\/(-24)). Let f be (2 - -3)*6\/l. Suppose 0*x + f*g + 18 = 2*x, -4*x = -5*g - 36. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 95 = 48. What are the prime factors of p\/((-4)\/10 + (-88)\/(-120))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449\/20 - 5717\/260. Factor -4\/13 - 2\/13*k**2 - t*k.\nAnswer: -2*(k + 1)*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*h - 9 = 6, -5*z + 2*h = 3. Is (z\/2)\/(1\/538) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/11 - 294*m\/11 - 292\/11 = 0. Calculate m.\nAnswer: -146, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (31 - (7 - 34)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 8, g: 7}. What is prob of picking 1 g and 2 e?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqpmjmhzp. Give prob of picking 2 m and 1 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = -0*b + 2*o, -2*b = 3*o. Let t(s) = -2*s**3 + 6*s**2 - 11*s - 13. Let l(w) = -w**3 + 3*w**2 - 6*w - 7. Let y(j) = -7*l(j) + 4*t(j). Give y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m\/m**(3\/8)*m)*m)\/m)\/(m\/(m\/(m*m*m**(-1\/5)))))**(-14)\/((m\/(m**1*m))**(-1\/4)*(m*(m\/m**4)\/m*m)\/m**(1\/4)) assuming m is positive.\nAnswer: m**(1279\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - r - 2 = -0*n, 4*r = -3*n + 25. Let a be (0 - n)*6\/(-9). Suppose i = -4*t - 2, 0 = -a*i - 0*t + 2*t + 16. Let q(b) = b**2 - 5*b. Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {h: 5, a: 4, x: 1, r: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4 and 21\/4664.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -24221084 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.836 - 8.696. Suppose x - 24 = 5*x. Let b be (-2)\/x - (-4)\/(-30). Is o not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1170 + -1243?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 55*u - 24. Let m be o(-27). Solve -2*l = m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 4*m**2 - m + 2. Let n = -13 - -49. Suppose -g - 3*g = n. Let i = g + 13. Calculate j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/78)\/(((-4)\/(-2))\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 2*c + 4. Let a(p) = -2*p**2 + 3*p - 6. Let u(b) = 4*a(b) + 6*x(b). Let w(t) = 9*t. Calculate u(w(i)).\nAnswer: 810*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 w when four letters picked without replacement from {o: 9, k: 3, w: 7}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 10*b**4 - 4*b**3 - 84*b**2 - 126*b - 54 = 0. What is b?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)\/sqrt(3))\/sqrt(9))\/sqrt(2))**2 + -4 + ((sqrt(2)*-2)**2 + 1 - sqrt(10)\/(2*sqrt(5))).\nAnswer: -sqrt(2)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11323 (base 4) to base 7.\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1066, 0 in increasing order.\nAnswer: 0, 7, 1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-8)\/(-288)*30)\/(5\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3944 (b) 0 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 1908*d + 1905.\nAnswer: 3*(d - 635)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 23*z**2 - z - 2. Let j be q(-1). Let d = 18 + j. What is the remainder when d is divided by (28\/6)\/((-2)\/(-9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**1*u)\/u)**(-7\/4)\/(((u\/((u*u*(u\/u**(1\/5)*u*u*u)\/u)\/u*u))\/u)\/u**(-2\/15)))**(3\/7) assuming u is positive.\nAnswer: u**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -2*t, -2*t + 35 = t + 5*v. Suppose 542 = -3*z - 4*m, 10*m = -4*z + t*m - 722. List the prime factors of -3 + (-1)\/1*z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173230 (base 9) to base 4.\nAnswer: 122031120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 33*v + 1680 = 0. List the prime factors of v.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114687 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/13, 11, 4, 9, 5, -24, -30?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 52. Let b(t) = -129*t + 41*t + 45*t + 46*t. Determine j(b(g)).\nAnswer: 18*g**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 4*z - 1728. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1398 + 1398.5. What is the second biggest value in h, 0.367, -2\/9, -3?\nAnswer: 0.367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/100*5\/297. Let y = -95265\/266 + 146445119\/395010. Let a = k - y. Calculate the common denominator of a and 58\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1851 = 11*z - 492. Suppose -24 = 210*g - z*g. What is the smallest common multiple of g and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c + 75*c - 31854 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101de6b + 1?\nAnswer: 101de6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**3 - 7*u**2 - 2. Let d(t) = 8*t**3 - 8*t**2 - 2. Suppose -5*y - 4*j - 47 = 0, 3*y + 2*j + 30 = -j. Calculate y*w(h) + 6*d(h).\nAnswer: -h**3 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1327 = -9*m + 2948. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*l - 7055 + 2354 + 1000*l + 2348 + 2351.\nAnswer: 1634*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 36*a**3.\nAnswer: -4*a**3*(a - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 28411 in descending order.\nAnswer: 28411, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23435 divided by 5?\nAnswer: 4687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpqn when four letters picked without replacement from cqccbcccncfcpbp?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -52. Let i = q + -6.14. Which is the smallest value? (a) i (b) -1\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/38220 and 79\/260780?\nAnswer: 38334660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -75. Suppose -2*q = 5*o + i, -q = -o - 6*q. Let r = o + 12. Solve 0 = -4*x + 2*x - 4*b + 8, -r*b + 4 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 (base 7) in base 3?\nAnswer: 102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11364 + -11364. What is the fifth biggest value in 4.9, -2\/3, -3\/5, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 4) to base 3\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305493?\nAnswer: 3, 79, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjvvj. What is prob of sequence jvjj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 118, 290, 530?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 33132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3430448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*t**5 + 55*t**5 + 7*t**5)*(-5 + 2 + 1).\nAnswer: 166*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**3 + 4\/5*p**4 + 0*p**2 + 2\/5*p**5 + 0*p + 0.\nAnswer: 2*p**4*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Let k = -6.000056 + j. What is k rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**2 - 5*b - 4. Let y(f) = -f**3 + f**2 + f + 2. Determine -x(h) - 2*y(h).\nAnswer: 2*h**3 - 13*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - l + 104 = 2*l, -4*d = 3*l - 82. What is the hundreds digit of 7768\/d + (-34)\/374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10820 - 10818. Solve -4*k + 6 = -h*f - 16, -2*f - 5*k = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*k + k - 10 = 0, -3*x - 3*k + 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243\/4 + 3\/4*n**2 + 0*n.\nAnswer: 3*(n - 9)*(n + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -2. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 3*w + 1. Let z be m(2). Let s = z - -42. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 3 + 4*a - 2. Let i be x(8). Let d be 6*(i\/2 + -1). Solve 2*v - d*v = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -71, -83, -95?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/13 + 7961986*q**3\/13 - 10565534190036*q**2\/13 + 4673473869341695960*q\/13 + 4673484434883847984\/13.\nAnswer: -2*(q - 1326998)**3*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 3*p - 2. Let h(n) = 58*n**3 - 256*n**2 + 1026*n - 756. Let f(a) = h(a) - 18*l(a). Factor f(c).\nAnswer: 4*(c - 60)*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2935 + -2924. Let c(b) = -b. What is the smallest common multiple of c(-4) and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1) + (3 - -1). Suppose 3*x = -12, -2*x - 6 = t*w - 2*w. Suppose -b = w*b - 45. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 26. Suppose h*s + 3*j = -j + 8, j = -3*s + 7. Let l be (1 + -1)*1\/s. Solve l = 2*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 14 - 14)*(0 + 4 + 2 - 2 + 3 - 5 + (-7 - 2 + 5)*(4 + 0 - 5) - 3 + 3 + 2).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/38 + 2800\/(-2280))\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, 2\/13, 0, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 41. Calculate the least common multiple of m and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/99682 and -103\/184.\nAnswer: 398728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94416\/13 or 7263?\nAnswer: 94416\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.54171 rounded to the nearest integer?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/18 + 10*m**3\/27 - 22*m**2\/9 + 32*m\/9 + 312. Solve k(f) = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4413 + 5500. What is the highest common factor of t and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57.407 (b) -0.1 (c) 4 (d) 6 (e) 11\/2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46565 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.87 - 24. Let f = 10381.4 + -10380.4. Which is the smallest value? (a) w (b) 3 (c) -1\/3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 + -8)*10\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 611707 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fthigiihffhhhhig. What is prob of sequence ig?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 + 3*k - 4. Let o be u(-4). Let f = 2.8604 + 0.1396. Which is the third smallest value? (a) -0.5 (b) f (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*f - 55, 5*r - 7*f = -4*f + 298. Let x be (-10)\/(-4) - (-2)\/4. Suppose 0 = x*y - 17 - 73. Calculate the remainder when r is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327933539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-10 - -12) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + ((-26)\/(-16) - (-66)\/(-176)). What is the nearest to -0.1 in 50\/3, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*r + 800, 211 = -2*o - 4*r + 771. Suppose d - 306 - o = 0. Let j = d + 93. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkgkfgkgkffkgff. What is prob of picking 4 f?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295879*k**2 + 154*k*s + 318*s + 10775 wrt k.\nAnswer: -591758*k + 154*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:08 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 766483*o**3 + 19*o**2 + 547*o?\nAnswer: 4598898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -17. Let p be 4 + -6 + (-1)\/x. Let y be (-4 + (-23)\/(-5))\/((-4)\/5). Sort y, -8, p.\nAnswer: -8, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 2*r - 3*r + 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1685 - 4*b - 1708 + 3322)*(-3*b**2 + 0*b**2 + b**2 - 2*b) in the form k*b**2 + l*b**3 + a*b + z and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:33 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*y + 3)*(-6 - 33 - 8)*(-15*y - y - y) to the form t + h*y**2 + l*y and give h.\nAnswer: -1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 - 146. What is the smallest value in -0.4, -0.2, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 2\/359, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 437663.5 + -3001898\nAnswer: -2564234.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100280 divided by -4.\nAnswer: 25070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19731*s**2 - 2422*s - 4?\nAnswer: -39462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -53, -5 in decreasing order.\nAnswer: -1, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49.45 - 48. Let w = 0.48 - y. What is w rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 2*f**2 + 4*f - 5. Let h be a(-4). Suppose -5*l - 16 = -36. Suppose -h = 3*z - l*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 8\/3*j**3 + 8*j - 3*j**2 - 9 - 1\/4*j**4. Does 6 divide b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:19 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (23 - (-66 + 59))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 14) - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m**2 + 4616*m - 4632*m + 14*m**2 to the form u*m + k*m**2 + o and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20136, -35101, -50062, -65019?\nAnswer: -79972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -5) + -12 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147170.\nAnswer: 2, 3, 5, 38239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) + (sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(11))**2 + sqrt(22)\/(sqrt(2) - (sqrt(2) - (sqrt(2) - sqrt(50)))).\nAnswer: -sqrt(11)\/4 + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23563 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*t**3 + 6*t - 6*t.\nAnswer: 717*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, 110 in descending order.\nAnswer: 110, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q**2 + q - 8 + 2*q**4 + 9*q**2 + 2*q**3 - q**4 + 11 to f*q**3 + g*q**2 + y + j*q + p*q**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 17 in decreasing order.\nAnswer: 17, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 25 = 5*n, 712*a - 708*a - 5*n = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 31*t + 5. Let v(q) = 5*q + 1. Let x(n) = -6*v(n) + w(n). Let p(k) = 6*k - 5. Let g = 2 - 1. Suppose c - 10 = 3*c. Determine c*x(r) + g*p(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5874 + -123.15.\nAnswer: 5750.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -751 + 755. Solve -s*y - 4*y = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -365, -2700, -9181, -21980, -43269, -75220, -120005?\n\"Answer: -362*s**3 + 99*s**2 - 98*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470934309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477535?\nAnswer: 5, 95507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s - 4. Let g be r(-4). Let t be (-10)\/((-70)\/14) - (-5)\/(-1). Let v be (-4)\/6 + g\/t. Solve 3*c + v = 3*x, 5*x = c + x + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 29 - 24 + 14 + 127*d**4 wrt d.\nAnswer: 508*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 3985500.\nAnswer: 15942000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*g - 115 = 281*g + 21. Solve 253*f - g = 245*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -3 - (10 - (3 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 862, 1478, 2782, 4780, 7478?\nAnswer: 10882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*v + 112*v - 2*q + 14 = 0, 3*v + 2*q = 38. Solve v*g + 2*g + 70 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227258 + 226290.81. Let x = a - -961. What is x rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1, 574, 34 in descending order.\nAnswer: 574, 34, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 2*i**2 + i. Let q(g) = -20*g - 21*g + 42*g. What is q(f) - y(f)?\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 33909338\nAnswer: 5\/16954669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 27*b = 32*b + 111, 0*v - 3*b = 5*v + b + 141 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u - u - 2*z, -15 = -3*z. Suppose -240 = -u*s + 6*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 713512 = 30*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/45*24\/80?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.035 + -3.0350953. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*s = -3659, -3*z - 4*s = -2*s - 3649. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3 + s - s**2 + 3*s**2 - s**3 + 3*s**2 + 5*s. What is the remainder when 51 is divided by k(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:50 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(484)\/(2*sqrt(704)) - (sqrt(2816)*-1)**2*2*-2.\nAnswer: sqrt(11)\/8 + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1370908640 to the nearest integer?\nAnswer: 37026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 61640\nAnswer: 12328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbg when three letters picked without replacement from gbgnhb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -13*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + 28*u**3 + 6.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i + 870. Let o be n(92). What is the highest common factor of o and 1358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8\/21, -0.5, 0.4, 2, 364, 170?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7810296647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t. Let d be (35 - (15 - 0)) + 0 + -4. Solve t = -3*b - b + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-17.7\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 8*y + 6. Let w be x(-11). Suppose -162*k + 166*k - 1176 = 0. Suppose -4*o + 11*o - k = 0. Calculate the highest common divisor of o and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 59*u**2. Let r(d) be the second derivative of 5*d**4\/2 + 2*d + 480. What is 2*q(h) - 5*r(h)?\nAnswer: -2*h**3 - 32*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -36*f**2 + 8281*f + 33646. Calculate z(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 893759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.2. Let r = -1235\/7337 - 9\/667. What is the nearest to -1 in r, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*p - 15. Let x be (1\/p + -1)*-8. Let v(n) = -n. Let t be v(-3). Solve r - t*r - x = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 23 = -5*d. Let l be (-2)\/8 - 4\/d. Suppose 0 = -l*n - 2*n + 10. What is the remainder when 13 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:47 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -496*u**2 - 480*u - 2\/3*u**5 + 0 + 12*u**4 - 10\/3*u**3 = 0?\nAnswer: -5, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/3 - 21292534*s\/3 - 78072544 = 0. What is s?\nAnswer: -10646256, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/15*-1 - 44106\/(-330). Let w = 134 - s. Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5262191 is divided by 1754045.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b74ed (base 16) to base 7\nAnswer: 6245002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 5, h: 2, p: 8, m: 3}. Give prob of sequence rf.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 19*w + 1. Let g(b) = -33*b**2 + 209*b + 11. Let c(m) = -4*g(m) + 44*t(m). Let y(k) be the third derivative of k**5\/20 - k**2. Give c(y(j)).\nAnswer: 396*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 + 6 = 0. Let u = 5 + f. Let h(n) = -n + 1. Give h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*h - 768 = -130*h. Suppose 4*g + d = -2*d + 165, 0 = 3*g - 2*d - h. Suppose 3*k - 210 = k. Calculate the highest common divisor of g and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -649416\/103 - -6305. Let u(q) = q**3 - 6*q**2 - 7*q. Let y be u(7). Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxbxxxxs. What is prob of picking 3 b and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.479159ml to litres.\nAnswer: 0.004479159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -15. Let t(g) = -g**2 + 2*g - 5. Let y be t(0). Are o and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 5*s**2 + 7*s**2 + 16*s**2 + 14*s**2 as b + z*s + v*s**2 and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132945\/9848 - -3\/9848. Which is the biggest value? (a) -5 (b) -4\/27 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*7\/(-147) - 17804\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, -3906, 3, 32 in descending order.\nAnswer: 260, 32, 3, -3906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfxxfllxlxlfffll. Give prob of picking 3 x and 1 l.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 48421*t\/4 - 12105.\nAnswer: -(t + 1)*(t + 48420)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**2. Let i(g) be the third derivative of -g**5\/10 + 221*g**2. Calculate c(i(u)).\nAnswer: -432*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = -5*r + 25*p + 14, 0 = -r + 5*p + 19. Suppose 0*f - 4*f + 832 = r*i, 3*f = 3*i - 636. Solve 0 = 207*c - i*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 5700 - 11414 + 5714.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(48)\/sqrt(12)*-5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*k = 3 + 7, -2*s = -k - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:37 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52 and -504102.\nAnswer: -26213304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11835 + -6743. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1\/(-6) - 775\/(-150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -6317334?\nAnswer: 6317334.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 3. Suppose -2*u + 6*u = -28. Is 12 a factor of r(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 32. Let q(t) = -t + 33. Let d be q(w). Let u = -14 + d. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2, 0 in ascending order.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -624 + 632 - (-18 - -3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 14*p - 19474 = 0. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from annanna?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 11658 - 1830 = 0. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016414 (base 7) in base 2?\nAnswer: 11101110111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263 + 148. Let l = -85 - r. What is the third derivative of 409*u + 25*u**2 - 409*u - l*u**4 wrt u?\nAnswer: -720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4\/18*3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 5. Let t be k(-4). Let g be 60\/(-160)*(0 - 8\/174). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 100 = 4*d, d = 5*q - d - 242. Calculate the highest common divisor of q and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*m**4*t - 2*m**2*t - 4*t wrt m?\nAnswer: -4584*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4540336 is divided by 220.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2574)\/39)\/1584*-3\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-168))\/(6\/7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153215 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 + 12*q - 11. Let b be d(7). Suppose -b = -5*t - 4, -148 = -2*k + 3*t. Calculate the remainder when k is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (232 - 265) + (28 - 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 54790*h + 328324. Give b(-6).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/5 - 18*s**4\/5 + 3*s**3\/5 + 18*s**2\/5 = 0. What is s?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 10. Let o be 36\/g*6\/9. Suppose 6*i = 9*i - o. Calculate the lowest common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 16 - 5. Let v(l) = -26*l + 2. Determine v(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 3, -10.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/70 + o**4\/21 + o**3\/21 - 2*o**2\/7 - 9*o - 1. Find q such that n(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 - 6*g + 28. Let a be s(10). Suppose -10*p - a = -18*p. What is the remainder when p is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 30 - 18 = -2*u, -3*h - 4*u - 20 = 0. Let q(k) = -k - 1. Let s(g) = 4*g + 2. Let p(r) = 6*q(r) + s(r). Give p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 17776.\nAnswer: 17776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = t + 11, 0 = -5*q + 17*t - 48 + 46 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -400 + 395. Suppose -5*b - 14 = 6. Let x = -0.1542 - -0.2542. Put -5, x, b, j in descending order.\nAnswer: j, x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5 + 21. Let c = 13 - s. Solve -3*t - 2*t - 20 = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 17*s**2 - 14*s + 9. Let n be b(16). Let h = -33 + n. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 2002\/31?\nAnswer: 2002\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x - 21 + 21)*(4*x**2 + 3*x**2 + 5*x**2) + x**3 - 3*x**3 + 3*x**3.\nAnswer: -107*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 14.9\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -571.1 - -571. Which is the fourth smallest value? (a) -3 (b) 1 (c) 0 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818700 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*c + 1, 14 - 223 = 45*j - 4*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2 - 3*d + 0 - 1 - 2. Calculate r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.8 - 51.2. Let k = n - -56. Let j = 0.19 + -0.1. What is the nearest to -1\/3 in k, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 - 0.17. Which is the closest to 0.1? (a) 3\/4 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6870 divided by -1374?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*s**2 + 117*s**2 - 41*s**2 + 53*s**2.\nAnswer: 289*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -8*l**3\/5 + 69822*l**2\/5 - 302960*l - 383064\/5 = 0.\nAnswer: -1\/4, 22, 8706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191024173.\nAnswer: 191024173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/543 + 22303\/5430. Find the common denominator of 85\/36 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 10*g**2 + 14*g - 27. Does 13 divide l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 13*f**2 - 7*f + 41. List the prime factors of o(12).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11548 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -13*k**6\/240 + 7*k**4\/3 - k**3\/3 + 8*k + 3. Let h(u) be the third derivative of n(u). Let r(q) = q. Determine h(r(i)).\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 15. Let a be ((-35)\/t)\/((-3)\/(-6)). Solve -2*p - 1 = k - 2, -3*p + 4*k = -a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*z + 706, -c - 2*c - 3*z + 1050 = 0. Let g = -336 + c. Suppose -3*l - l + 64 = 0. What is the remainder when l is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-475) - (19 - (-1128)\/(-60))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -80*l - 641. What is n(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222840491662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -5 + 0 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) + 1)*-1 - sqrt(1872) - sqrt(1872)) + -5)**2.\nAnswer: 432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((1 - (-2 - -4)) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1198 and 63\/10?\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 2. Let t = -145 + 142. Which is the closest to -0.1? (a) -0.1 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*b - 216*b = -431*b - 4*v + 16, -2*b - 8 = 66*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 = -4749*u + 6678 - 312 + 7424 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10393*l**3 - 2286*l**2.\nAnswer: -62358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6394135.\nAnswer: 5, 11, 116257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -918.9993724 + 919. What is a rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 2*w + 12, -2*w + 10 = -28*v + 31*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 36, 1, 575565?\nAnswer: 575565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -108.64. Let y = h + 2.6. Let j = 0.7600284 + y. What is j rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -85136, -85098, -85034, -84944?\n\"Answer: 13*z**2 - z - 85148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let n = p + -4. What is the closest to n in 2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-272)\/24)\/(12\/18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*s + 15, -t - 18 = t + 4*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = o + 3*i - 11, 0 = 5*i - 20. Which is the closest to -0.5? (a) 0.3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3802 and 73475551.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 7, 5 in decreasing order.\nAnswer: 184, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 38*l - 32. Let i be n(22). What is the highest common factor of 60 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 475 = 5*z, 9*w - 14*w = -2*z + 197. Calculate the least common multiple of 72 and z.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.45722 times 479\nAnswer: 219.00838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 2*p**2 + 26*p - 9. Let b be i(6). Let t(x) = -2 + x**b + 0 + 3 + x**2 - x - 3. Give t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(72)*2 - (3 + -1 + sqrt(72))) + -4 - (1 + -3*sqrt(72) - (sqrt(72) + -2 + 4)))**2 + -1.\nAnswer: -360*sqrt(2) + 1835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9920748 and 149\/36.\nAnswer: 29762244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-6)\/(-3) - 1). Suppose 4*r - 9 = -v. Suppose r*c - 13 - 1 = 0. Solve -m - 2*a = -c, 3*m = -a + 4*a + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074035 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -1\/5 (c) 7\/6 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 3*f**2 - 8*f - 9. Let m be j(-4). Let c = m - -5. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 27592.2 (b) 136\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2 - 1890*f + 3034*f**3 + 3117*f - 3*f**2 + 0*f**2 wrt f.\nAnswer: 18204*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q + 6. Let g(v) = 4*v - 3. Suppose -t = -3*m - 9, 4*m - 3 = m - 3*t. Determine m*p(h) - 5*g(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5\/5 - 33932*j**4\/5 - 70296572*j**3\/5 + 7061742236*j**2\/5 - 33924194304*j - 35350595280 = 0. What is j?\nAnswer: -4290, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87077 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2. Let f(x) = 1451*x - 1. Give f(j(g)).\nAnswer: 11608*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -349*p + 633. Is c(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16797 and 123090?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245736*q**2 - 327405*q\/2 + 81.\nAnswer: -3*(3*q + 2)*(54608*q - 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2924 by 4.\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:49 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-440)\/695))\/(2\/11) + 84\/(-24)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*i = -19, -5*h = -3*i - 109 + 32. What is the remainder when 76 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -133, -250, -401, -586, -805?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 v when four letters picked without replacement from nahnvvvhnxnn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4)*4)\/(-6*sqrt(12)\/sqrt(4)))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146136 (base 7) to base 8.\nAnswer: -67601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25177*y = -24985*y - 5376 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 + 568. Suppose 296 + c = 5*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = y - 239296 - 160708, 0 = -5*y + 20. Round s to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3 - 3597*a**2 + 123421*a - 119823 = 0. What is a?\nAnswer: -3631, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j + 3*j - 5*j + (0*j + 0*j + 2*j)*(-2 + 4 - 3).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 1 - n**2 + 2*n**2 - n. Suppose 3*i - 2*i - 2 = 0. What is the units digit of f(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 22*m - 105. Let o be c(16). Let z(x) = -8*x**2 - 80*x - 20. Let j be z(o). What is the highest common factor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, u: 1, p: 2, k: 6}. What is prob of picking 3 a?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8) + (-4 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2805 - -2807. Solve 0 = -b*x - 9 + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 10*p**3 + 55*p**2\/2 + 198. Factor b(f).\nAnswer: 5*f*(6*f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 251 + 4*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -0.5373 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 785 + -513. Suppose 0*d + w = 3*d - 4*o, -5*o - 10 = 0. Suppose v - d = -4*l, -3*l - v + 81 = -4*v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + g = -g - 166, -k + g = -32. Let z(q) = q**3 + 6*q**2 - 3*q - 1. Let h be z(-6). Let y = k - h. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*s - 37, 0 - 9 = 2*s + 3*f. Suppose -s*p - 4 = 419. Is (-6)\/(-3) + -4 - p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -105500?\nAnswer: -105453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*v**2 + 38*v**2 - 2032*v + 2032*v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 - g - 9. Let t be a(-7). Suppose 17 = f - 2*p, -2*p + 118 = 7*f - 3*f. Calculate the greatest common divisor of t and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/26 + 684*i**3\/13 + 350892*i**2\/13 + 80003376*i\/13 - 1418. Find a, given that q(a) = 0.\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 9*d - 6*d**2 - 14*d + 22*d + (-4 + 4 - d)*(3*d + 0*d - d) + 5*d + d**2 - 5*d.\nAnswer: -7*d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*r**2 - 234*r**2 - 50*r**2 + 87*r**2.\nAnswer: -317*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38240 + 38302. Let t = 231 + -50. Calculate the remainder when t is divided by n.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g - 1. Let a be k(-2). Suppose 5*o - 38 - a = y, 3 = o + 3*y. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38\/17 - -521\/119. Factor m*a + 12\/7*a**2 + 6\/7 + 3\/7*a**3.\nAnswer: 3*(a + 1)**2*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {h: 4, w: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 52*y + 108. Give o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100, -9, 142, 353, 624, 955?\n\"Answer: 30*d**2 + d - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1 + 2*a + 0*a - 2*a. What is j(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3888 - 3885 + 388*b**3 - 1880*b**3 as j*b**2 + t*b**3 + f + p*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t - 6 = 0. Let c = 10 + -15. Let p = t - c. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, 79, 0.5 in ascending order.\nAnswer: -321, 0.5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11121 - 11?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4 + -2)*(-3)\/(-57)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6))**(-17)*w**(3\/8)\/w*w*w\/(w*w**2) assuming w is positive.\nAnswer: w**(29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 172.82826 months?\nAnswer: 0.14402355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:01 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((-1188)\/(-135))*(8\/(-10))\/(28\/140).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-25))\/(40\/200)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4601574 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t - 90 = -58*t. Let w(j) = j**2 - 16*j - 19. Calculate the remainder when 32 is divided by w(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*c**3*y - 38825*c**3 + 1561*c**2*y**2 wrt y.\nAnswer: 17*c**3 + 3122*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 43*r**2 + 53*r - 452. Let u be x(42). Solve u*v + 30 = -40 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3777*p**2*r**3*x**2 - 2*p*r**3*x - 109*p*r**2 - 3*r*x**2 wrt p.\nAnswer: -7554*r**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 + 12*w**2 - 11*w**2)*(2*w**3 - 2*w**3 + 2*w**3 + (0*w**2 + 3*w**2 - w**2)*(-2 + w + 2) - 2*w**3 + 3*w**3 + 0*w**3).\nAnswer: 45*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60829, -25, 3?\nAnswer: -60829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 12306?\nAnswer: 12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -3*z + 5*s, -2*z - 2*s = 119 - 9. Let m = z + 64. Let d(j) = -3*j - 2. Let p be d(-2). Solve 24 = -4*y - p*r, 0*y - 5*r - m = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*y + 31*y = -59*y - 1260 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -4.94. Let p be (-1 + (-9)\/(-6))\/(-1). What is the nearest to p in q, -2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*z + 448*z - 3 - 148*z + 1 to the form g*z + o and give g.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 1 (b) -1 (c) -186 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrbdiuddivduvv. What is prob of picking 2 v, 1 r, and 1 i?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0, 0.06, 3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k = 8*k + 148. Solve 5*j = 4*f - 12, -f + 10 = -k*j + 2*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53580084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + k + 4*k + 4*k - 8*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 9. Suppose 4*i - 12 = -2*c + i, 7 = 5*c - 4*i. Suppose 38 + x = 4*d + c*j, d = -5*j + 7. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/23)*(a\/(a**(-3)\/a))\/a)**21\/((a\/(a\/((a*a**(3\/5)*a)\/a))*a\/(a*a\/a**(1\/4)))\/(a**(2\/3)\/(a*a**(3\/2)))) assuming a is positive.\nAnswer: a**(109697\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -25040455?\nAnswer: 25040451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*i - 70*i + 131*i - 112 to g + l*i and give g.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 11 = -74 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/8*8\/(-6). Let v be 10\/(-10) + (l - -1). Find the third derivative of 4*q**2 - 62*q**4 + 42*q**4 - q**v wrt q.\nAnswer: -480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119161761 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: Let k(c) = -4*c**2 + 96*c + 210. Determine k(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2544, -2540, -2540, -2544, -2552?\n\"Answer: -2*c**2 + 10*c - 2552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 0 = -240 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 68788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*u - 8 = -285*u, a + 0*a + 5*u - 15 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 2*u - 1, 4*u - 14 = 2*y. Suppose q = 1 + y. Let s = -29\/5 - -83\/10. Which is the smallest value? (a) q (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-6)*(2 + 282\/(-9)). List the prime factors of s*1\/((-4)\/34).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -3. Which is the closest to g? (a) 5 (b) 0 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -37. Let s be k\/16 + ((-1041)\/(-852) - 1). What is the second biggest value in -2, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310545455 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 3*v + 0*v + 4*v + v - 2*v + (1 + 1 + 0)*(0 + 0 + v) + (0 + v + 0)*(3 + 0 - 1).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2556*j - 216768 = -60852 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*t - 89 + 89 + (1 + 1 - 5)*(4 - t - 4) to the form b + o*t and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2201, -8802, -19795, -35180?\nAnswer: -54957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03825 to 3 decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 1537*b + 3083. What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38664 and 143916.\nAnswer: 2590488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 19*o**4\/12 + 1772*o**2. Let x(r) = -15*r**2. Determine x(c(z)).\nAnswer: -21660*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 6, q: 1, w: 7}. Give prob of picking 1 n, 1 q, and 2 g.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442264 and 11564.\nAnswer: 21670936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -298 - -301. Solve 10*y = u*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 18*a - 2. Let l be p(3). Let u = 84 - l. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1652, 1868, 2086, 2306?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Suppose 6 = -z*t + 18. Suppose 5*p - 6*p + t*s = -20, 10 = -2*s. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/60 + 2*l**7\/525 + 7*l**6\/75 - 2*l**5\/75 - 7*l**4\/30 + 2*l**3\/15 + 17*l**2. Determine t, given that b(t) = 0.\nAnswer: -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629369252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + d = -26, -95*x + 168*x = 76*x - 2*d - 22 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/20 + 5*k**4\/12 + 2*k**2 + 4*k. What is the units digit of x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.14 + 31. Let h = -1.7 + 2. Let k = -46.4 + 46. Sort u, k, h in decreasing order.\nAnswer: h, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*-3*(sqrt(72) - (sqrt(72)*2 - sqrt(72)) - sqrt(72))*3 + (-6*sqrt(72)*-2 + sqrt(72) + sqrt(72) - (sqrt(72) + sqrt(72)*-2 + -2))).\nAnswer: -18*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -905\/6 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(136) - (sqrt(136) + (3*sqrt(136) - sqrt(136))*5))\/sqrt(8) - -1*(sqrt(272) + 5)).\nAnswer: -25 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -13 - (-70 - -40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*i = -615*i - 56 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173929\/1286 + -5\/2572. Let p = 136 + d. Let j = 42.5 + -42. What is the closest to -1 in 0.2, j, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**4 - 1\/10*x**5 + 0 - 3*x + 1\/2*x**2 + 0*x**3. Differentiate z(w) with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142121, 568468, 1279047, 2273858, 3552901, 5116176, 6963683?\nAnswer: 9095422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68621 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101866294 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 + 2*d - 4. Let z be l(4). Suppose 0 = -22*y + 21*y + 4*n + 190, 5*n + 716 = z*y. What is the highest common factor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45094, -180334, -405722, -721258, -1126942?\n\"Answer: -45074*n**2 - 18*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:29 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 60558367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1281 - -6397\/5. Which is the smallest value? (a) 0.3 (b) g (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 89*l + 448. What is k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203896.394 rounded to the nearest 10000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-30))\/h*h**30*((h\/(h**19*h))\/h)**31 assuming h is positive.\nAnswer: h**(-620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 1404?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1395\/6 + 1\/(-2). Suppose -4*h + 5*a = -212, -6*h - 2*a + j = -h. Suppose h = 3*c - 687. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 10.85. Let u = g - -4.85. What is the biggest value in 2\/9, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Is b\/4 - 109\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8*q + 30 = 0. Suppose 4*i - 8 = 20. Let n(j) = -j**3 + 8*j**2 - 7*j + 4. Let o be n(i). Solve o - q = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-5*z - 3*z + 6*z)*(-12*z - 4*z + 5*z).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = -2. Is 2*u\/(6\/267) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -396*c**3 + 160*c**2 - 16*c.\nAnswer: -4*c*(9*c - 2)*(11*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from ssqqqqiiiqqqqsiss.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -28*t - 2. Let j(i) = -2*i**2. What is j(m(q))?\nAnswer: -1568*q**2 - 224*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**3 + 2*h**3 - 4*h**3 + (5*h - 3*h - 3*h)*(h**2 - 2*h**2 + 3*h**2) + (0*h + h + 0*h)*(-3*h**2 + 0*h**2 + 5*h**2) + h**2 - 3*h**3 - h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 12 - (108 - (1 + 5)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 86 (b) 2 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158 + ((-8)\/(-20))\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 9*v**2 + v - 9. Let u be j(9). Let q = 7 - -46. Suppose u = -0*b - b + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/526049?\nAnswer: -2\/526049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 3*a. Let k be r(-2). Let d be 5\/k - (-10)\/4. Suppose 0 = d*h - 49 - 68. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*u**2 - a*u + 168653*a + 22922*u**4 wrt u.\nAnswer: -2*a*u - a + 91688*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 12, 2*k + 11 = m + 5. Suppose -m = 4*c - 3*c. Let g be 1\/(1 + c\/15). Solve w + 20 = g*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = 4. Let i be (n + (1 - -2))*3\/1. Suppose 0*j = -4*j. Solve -o + 5*u = -8, -5*o + j*u - i*u = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jssjjqqjcjnnh. Give prob of sequence sq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 1 - 1)*(2*n**3 + 3*n**3 - 3*n**3) - 6*n**4 - 2*n**4 + 4*n**4)*(131*n - 74*n - 82*n) + (-2*n - 4*n + 4*n)*(7*n**4 - 2*n**4 - 6*n**4).\nAnswer: 152*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i. Let g(p) be the second derivative of p**3\/6 - 15*p. What is r(g(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114073 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**4\/6 + 7*h**3\/2 + 470*h**2. Let s(a) = -9*a + 43. What is -6*s(w) + 13*y(w)?\nAnswer: 2*w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -19*r**5\/20 + r**4\/12 - r. Let h be l(-1). Let z = 692 - 690. Solve 0 = -z*a - 3*a + h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3\/4*z**4 - 6\/5*z + 5 - 3\/2*z**2 + 9\/5*z**3 - 21\/25*z**5. Solve j(h) = 0 for h.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17876014901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 933 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, f: 1, d: 4, i: 1, p: 4}. Give prob of sequence sfp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a - 4*p - 271, -2*p + 94 = -2*a. Let n = 73 + a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8411212 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3991*r + 4006*r = 180. Let h(w) = -w**2 + 11*w - 7. Determine h(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37502 - -19?\nAnswer: 37521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162904037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-988)\/209*(-10)\/4 + 12\/66?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4190029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/1075 + -41861\/17200. Calculate the common denominator of l and -97\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/7*4\/10. Let z = 4 - 4. Suppose z = 2*t - i + 1, -i + 2 = -4*t - 1. What is the nearest to -1 in t, 3\/4, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 128246972.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4757199 (base 10) to base 11\nAnswer: 275a177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -100, -149, -198?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, p: 9}. Give prob of picking 1 p and 1 v.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233806 or -233807?\nAnswer: -233807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 7 = -7*r, 18282*r + 2*o = 18285*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-1 + 0)) + (735 - 696) - 17?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1309 and 39882.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/748 and -91\/6.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/8 (b) 5 (c) -0.054 (d) -57\/8 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29952\/(-2340) + (-18)\/15 + 18\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - -2.08. Let p = g - 1.9. Let u be (-6)\/70*(-10 + 5). Which is the third biggest value? (a) u (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))**(24\/5)\/(q\/q**(-2\/7))**(2\/23) assuming q is positive.\nAnswer: q**(7638\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30163 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8*i + 12 = 0. Let a be 1\/(-3) + (-16)\/6. Let h(v) = -v**2 - 62*v + 554. Let w be h(8). Put i, w, a in descending order.\nAnswer: i, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = 72*r + 1080. Let n = -34 - -10. Is r <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 393699 and 107.5.\nAnswer: 42322642.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**3\/3 + 3656. Let u(m) be the second derivative of -m**4\/12 + m. What is t(u(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1047, 1041, 1031, 1017, 999?\n\"Answer: -2*u**2 + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from uuuuwwuuuuuuwuu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muss when four letters picked without replacement from uuuuuuumsuusuu.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/90*(282\/(-10))\/(32*(-29)\/(-1160))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 9)*(-8 - 1). Let w be ((-10)\/h)\/((-40)\/24). Put w, 0.2, 0 in ascending order.\nAnswer: 0, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740548643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 59763054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1593 = -2*d - 5*a, 0 = -133*d + 131*d - 4*a + 1596. What is the remainder when d is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 82858126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-552)\/9*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 70187.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -20. Suppose 2*g = 4, x + 5 + w = 5*g. Suppose 0 = 4*h - 4*o - 16, -4*h + x*h = o - 14. Solve -2*c + 1 = h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + m + 2 + 3, 3*s = -m + 13. Suppose -5*o - 15 = -10*o. What is the second derivative of f**4 + o*f - f**4 - 2*f + s*f**5 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.829 - -3.829. What is the nearest to z in 5, -2\/31, 0.3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Suppose y*q - 7*q = -64. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/74*24\/99*3.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*j + 7, 4*k - k + 3*j = 15. Suppose -5*g + k = -12. Solve -3 = -g*u, 4*r = 2*r - 2*u + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l - 124*l - 158*l to the form n + h*l and give h.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/((-272)\/(-17)))\/2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/355 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 10. Let h be l(-9). Suppose 0 = 2*b - 4*x + h - 24, 2*x = -5*b + 4. Find the third derivative of -3*i**5 + b - 2 - 2*i**2 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.02823cm?\nAnswer: 30.2823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04306 times 0.074?\nAnswer: -0.00318644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*s = -0*s + 183, 4*g - 153 = s. What is the remainder when g is divided by 1 + 24 + (-36)\/45*5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 - 210. Suppose f*x - 22 = -4. Solve 0 = -3*t + 9 + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - (0 + 2)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539 and 26?\nAnswer: 14014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -89027.\nAnswer: 12463.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 c when four letters picked without replacement from {k: 2, y: 10, i: 3, c: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Let l(v) = v**3 - 4*v**2 - 3*v + 7. Let j be l(5). Solve w - 2 = -z*d + 2*w, -j = d - 5*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*s + 18*s - 3*z + 26, 5*z - 36 = 2*s. Solve -2*m + 35 = -5*r, 6*r + 25 = m + s*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37932000 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 303*i + 141*i + 1016*i + 3*i + 4*i - 6*i + (3 - 1 - 4)*(2*i - 6*i + 3*i).\nAnswer: 1463*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 4\/5, -1, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/(-9) - (-4)\/12. Let r(j) = j**2 + 7*j + 12. What is the units digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154 in -2, -2\/13, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 119\/428152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*p**4 - 303*p**3 + 2*p**2 - 4292112*p.\nAnswer: -2364*p**2 - 1818*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 + 70*f + 128. Give o(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15107 - 15107 + b**2 - 3277*b as w*b**2 + x + r*b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3593 + 3593.00002043. Round v to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2012 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**32*f)**(21\/5)\/(f\/(f\/((f**(-31)*f)\/f)))**(-16\/7) assuming f is positive.\nAnswer: f**(2518\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 2*s + 1. Let a(o) = -39*o**2 + 3*o + 2. Determine -a(j) - 2*i(j).\nAnswer: 37*j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.23288 milligrams in micrograms?\nAnswer: 48232.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(-44\/5)*(q**(-1))**(18\/7))**38 assuming q is positive.\nAnswer: q**(2432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 - (-8)\/6). Let c = -11 + 15. Let o = c - -1. What is the second smallest value in l, -5, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1406, 1409, 1412, 1415, 1418?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 459 and -9086.\nAnswer: -4170474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4350)\/26)\/(-15) + -33 + 22)*-12?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -6)*(8\/(-6) + 2). Solve 4*h + u = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y + 20. Suppose y*b = 2*b + 9. Solve -i - b = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 20. Let d(w) = 2*w - 13. Let f(a) = 8*d(a) - 5*y(a). Let k be f(4). What is the nearest to k in 0, -0.1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 2527*g\/2 + 7599.\nAnswer: -(g - 2533)*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 7, -664 in ascending order.\nAnswer: -664, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/3361?\nAnswer: 31\/3361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24006530.\nAnswer: 2, 5, 97, 24749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 118. What is the remainder when x is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -51. Suppose 3*x - 43 = -4*p + 35, 4*p = 4*x - 76. Let o = x - y. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 greater than 890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybb when three letters picked without replacement from {e: 1, y: 1, r: 1, b: 2, z: 1, d: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41082 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 11. Suppose -467*b = -462*b + 10. Put b, 1, 8, z in decreasing order.\nAnswer: 8, z, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*b - 222. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 174 - 36*k**3 - 15*k**3 + 14*k**3 - 7 - 5*k**3.\nAnswer: -42*k**3 - 2*k - 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 141038930277999?\nAnswer: 141038930277996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1707 - 1705. Which is the fourth biggest value? (a) l (b) -296 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219 and 0.85?\nAnswer: 186.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 14*u**2 + 2*u + 3. Let z(p) = -p**3 - 38*p**2 - 49*p - 450. Let s be z(-37). Give y(s).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 37.9. Put -5, u, -1\/2 in descending order.\nAnswer: u, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -a + 2*c, a + 3*c = 15. Calculate the smallest common multiple of a and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j - 4. Let m be u(2). Let h be 3 + (1 - m)*1. Is -1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/519, 0.16, -3.17, -15?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34840 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (416\/(-112) - -4)\/(16\/(-14)). Is 8721 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/37 - 270\/259. Let i = -9.7 + 9. Which is the fourth smallest value? (a) 0.4 (b) x (c) 3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 492?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.127949+-955553\nAnswer: -955552.872051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 165. Let u(c) = -7*c**2. What is u(f(i))?\nAnswer: -28*i**4 + 4620*i**2 - 190575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -t - 0*y, 0 = -5*t + 4*y + 23. Suppose -3*r + 4*r = 3. Differentiate 1 + 2*z**t + z**3 - z**r with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/49685 and -99\/1877570.\nAnswer: 35673830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 71 + (-84 - (-41 + 7))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*b + 48 = 0, 3*b = -2*l - 2*b - 48. Let t be 28\/6 - (-16)\/l. Let i be ((-4)\/6)\/(3 - t). Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = r + 10, -100*i + 104*i = -5*r - 50 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 413, 598, 783, 968?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -666 - -680. Calculate the remainder when 83 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78395 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -30 - (36 + (97 - 21))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107, 123, 137, 149, 159?\n\"Answer: -d**2 + 19*d + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 3*b - 5, -3*q + 8*b = 12*b + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.061908 micrograms?\nAnswer: 0.000000000000061908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19306*r**4 + 4*r**2 + 2684*r + 2 wrt r.\nAnswer: 463344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, m: 2, c: 1, k: 2, w: 4}. What is prob of sequence ckvk?\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 82*b - 1568. Let k be p(-16). Let w(g) be the first derivative of 0*g + k*g**2 + 20 - 1\/3*g**3. Let a(u) = 7*u**2. What is a(w(o))?\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2204 micrometers in meters?\nAnswer: 0.0000672204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - 88. What is the remainder when f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35453*v**5 - 16*v**3 - 2631712*v**2?\nAnswer: 2127180*v**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 5. Suppose 2*t - 60 = -t. Calculate the remainder when t is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 10. Let u(o) = -o + 1. Let g(a) = i(a) - 5*u(a). Calculate g(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-15 + 1326\/85)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i**3 - 4*i + 4*i + 44*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173722957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Let j(s) be the first derivative of -s**2 - 150*s + 1. Determine r(j(m)).\nAnswer: -4*m**2 - 600*m - 22500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -335652\/8813 > -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 68.\nAnswer: 23868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12802.9994589 - 12803. Round c to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366429959 to the power of 1\/2, to the nearest integer?\nAnswer: 19142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 6. Let t be b(8). Suppose 0 = 4*p + t + 14. Find the common denominator of (p\/(-20))\/(18\/201) and 19\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*p + 120, 2*p - 4214 = 13*t - 11*t + 13*t - 4068 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -31*v. Let p(w) = 23*w. What is m(p(h))?\nAnswer: -713*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/5 - i**3 - 2*i**2\/5 + 8*i\/5 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1986 = 3*f, z + 664 = 33*f - 31*f. Which is bigger: -656 or z?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipiipispp. What is prob of picking 2 i and 1 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -17 - ((5 - -25) + 34 + -34 + -44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 6237.06.\nAnswer: -112267.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3146782, 3146789, 3146796, 3146803, 3146810?\n\"Answer: 7*r + 3146775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-36)\/(-162))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 19489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17872 and 17872?\nAnswer: 17872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/96 and -89\/229092.\nAnswer: 1832736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -288 - -269.58. Let y = l + -0.98. What is y rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*t - 1040 = -9*y, -2*t - 832 = -4*y. What is the remainder when y is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:09 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3545*o**2 - 23396*o.\nAnswer: 7090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1656 and 279.\nAnswer: 51336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 - -973. Let t(f) = -10*f**2 + 2*f - 11. Let r be t(9). Let c = v + r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.9982 + 25. What is d rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*t + 29*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 - g**2 + 155*g - 310 - 159*g)*(2*g - 2*g + 3*g).\nAnswer: -3*g**3 - 12*g**2 - 1368*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*s + 1026, 3*g - 2*s + 1542 = 6*g. Does 38 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 104031715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q + 7. Is b(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/20 - (-14)\/(-12). Factor 0*x + 0*x**2 + 0 + t*x**3 + 1\/3*x**4.\nAnswer: x**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + ((sqrt(495) + -3*sqrt(495)*-2 - sqrt(495))\/(sqrt(99) + sqrt(99)*2)*3)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0, -8 in decreasing order.\nAnswer: 3, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 4 - -9) + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 5*i**2 + 25*i + 82. What is g(-4)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1971 divided by -3\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 13\/12*b**4 + 0 - 16*b + 0*b**2 + 0*b**3. Let k(n) = -3*n. What is i(k(m))?\nAnswer: 117*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/11 + 89032*s**3\/11 + 990837128*s**2\/11.\nAnswer: 2*s**2*(s + 22258)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 1756 - 10144. Is 0 + 3 - (1 - -2 - a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 9*m**5\/2 - 21*m**3\/2 - 167*m - 171. Let s(i) be the first derivative of d(i). Find the second derivative of s(v) wrt v.\nAnswer: 540*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -23.138. Let u = r - 0.018. What is u rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3665669 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5. Suppose 2*u + 5*u + 35 = 0. Let x(q) = q - 11. Determine u*v(t) + 2*x(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*u + 13, 43010*u + 27 = -i + 43005*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 38. What is the second derivative of -2*u + 25*u**v - 13*u**5 - 5*u wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 24. Let i be 2\/h - 8\/24. Let m(a) = a**2 - 7*a - 4. Let n be m(8). Sort 0, n, i in descending order.\nAnswer: n, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/9 - 926*p**2\/9 - 30400*p\/9 - 245248\/9 = 0.\nAnswer: -16, 958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8869 divide 2370123310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 9 + (3 - -6 - (1 + 3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(75) - sqrt(75)*-2) + 5 + sqrt(75) + 3)**2.\nAnswer: 320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/568880 and 99\/1991080?\nAnswer: 3982160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*l**4 + l**3 + 2*l**2 + 11*l + 142*l**4 - 74*l**4 to the form m*l**2 + s*l**3 + c + g*l**4 + w*l and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.055 (b) 3.9 (c) -1\/7 (d) 0.5 (e) 0.3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -16. Suppose l*b + 4 = 0, 26 = 2*u + 5*b - 75. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 - 22. What are the prime factors of q(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182\/9 - -20. Let f = 33 - 33. Put -2\/5, f, 4, w in increasing order.\nAnswer: -2\/5, w, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3612 and -1.46334?\nAnswer: 3610.53666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276226, -2552379, -3828532, -5104685?\nAnswer: -6380838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -675 - -1177. Let k = -9780.73 + 10268.9. Let b = k - q. Round b to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*l + 6. Let k = -5 + -11. Let m = l + k. Let r(f) = f**2 - 4. Give r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -82, 5, 4 in ascending order.\nAnswer: -82, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006375029 to four dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5af9f - 5?\nAnswer: -5afa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:10 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 4*b)*(-7*b**3 + 4*b**3 + 15*b**3) - 5*b**3 + b**4 + 5*b**3.\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 50 = 3*r + 1285, 834 = -2*r + 2*l. Let j = r - -691. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097616304.\nAnswer: 2, 7, 2675531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000486492 to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 6. Let v be 2 - 1 - (-2 - c). Let d = v + 14. What is the remainder when 21 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*o**3 - 2181*o**2 - 20667*o + 80901 = 0. Calculate o.\nAnswer: -101\/9, 3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 52. Let w be ((-44)\/33)\/((-4)\/i). Which is the third biggest value? (a) 0.5 (b) 1 (c) -0.4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127851.6 + 127851.3099966. Let v = 5.22 - 4.93. Let o = v + t. Round o to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554350072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 11 - 29*u**3 - 29*u**2 - 8 wrt u.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 2693908, 1?\nAnswer: 2693908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18175578 + 4\nAnswer: -18175574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((6\/15)\/(88\/44)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.36 from -7.19.\nAnswer: -10.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.35 in 2, -0.5, 4.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133508.3l in millilitres?\nAnswer: 133508300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 102, 98, 42, -84?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -11\/2*f**2 - 1 - 1\/3*f**3 + 9*f. What are the prime factors of u(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*p**2 + 37668884*p + 10762536 = 0. Calculate p.\nAnswer: -1345317, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6137 in -1, -38\/5, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8973, 9009, 9049, 9093?\nAnswer: 9141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07575 - -31.20575. Let b = s - -9.17. Round b to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11*n - 5. Let q(v) = 6*v + 2. Let j(s) = -2*i(s) - 5*q(s). Let t(y) = -2*y. Give j(t(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - -74. What is the derivative of -93*r - r**2 - 34 - 17 + g*r wrt r?\nAnswer: -2*r + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btuuuutbubttbtu. Give prob of sequence tut.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, 5 in descending order.\nAnswer: 22, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 435 - 3?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u + 3*u**3 + 204*u**5 - 3*u**3 - 60 + 19*u - 11*u wrt u.\nAnswer: 4080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 11*x**6\/90 + x**5\/6 + 3*x**3 + 22*x**2. Let g(c) be the first derivative of f(c). Find the second derivative of g(b) wrt b.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndlddfdplfbflff. What is prob of picking 3 d and 1 l?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i + 1. Let d(w) = -4*w**2 + 3*w - 3. Suppose -70*s = -2*n - 65*s + 18, 0 = -5*n - 4*s - 21. Calculate n*d(r) - 5*f(r).\nAnswer: -r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**5\/45 + 7*n**4\/36 - 5*n**3\/9 + 13*n**2\/18 - 4*n\/9 - 22. What is y in z(y) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5891 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506212 is divided by 416.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.1 (b) 307 (c) 3\/34 (d) 0.2 (e) -29 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 1 (b) 5080 (c) 4 (d) -5 (e) -1 (f) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -22*p**2. Let h(u) be the first derivative of -4*u**3\/3 + 7. Calculate h(r(i)).\nAnswer: -1936*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2594, -5193, -7802, -10421?\nAnswer: -13050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 444 - 165 = 111*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/5))**(-12) assuming g is positive.\nAnswer: g**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a4 - 124aaa?\nAnswer: -124806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91753, 366993, 825723, 1467943?\n\"Answer: 91745*o**2 + 5*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3085 = -4*d - 75. Round d to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1974 and 6580?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 3073 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:46 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*a - 47*a - 467*a**2 - 52*a.\nAnswer: -467*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -396 - -400. Let a(b) be the second derivative of 6*b + 0 + 0*b**2 + 1\/12*b**3 - 1\/24*b**x. Suppose a(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/71 + 157\/355. Let u = 277 + -838\/3. What is the smallest value in u, q, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/4 + (-2)\/(-2) + 1. Suppose -5*n - 1629 = -u, -4*n + q = n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 1. Let u be s(7). Suppose u*x - 3*x = -3*h, h = -5*x. Which is the third biggest value? (a) h (b) -0.01 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 14}. Give prob of sequence kv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, f: 9}. What is prob of sequence kkfk?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-412696)\/32 + -3)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301\/(-5) - (478\/(-40) - (-56588)\/4816)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 153\/(-60)*-138 - ((-539)\/(-110) - 5). Let h(g) = -g**2 + 7*g - 2. Let a be h(5). Calculate the highest common divisor of a and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksybbybkkyybabxk. What is prob of sequence ak?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -5*(sqrt(3) + 0 + sqrt(3)) + -1.\nAnswer: -9*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/24 and 32\/93?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 14039.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210266565 (base 7) in base 2?\nAnswer: 101111010100001100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61627560 to the power of 1\/2, to the nearest integer?\nAnswer: 7850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let b(j) be the third derivative of -1\/6*j**3 + 0*j + 1\/24*j**4 - 14 + 4*j**2. Give -b(i) - s(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 790\/13 > 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*v - 34555, -3*v = -3*d + d + 13819. Let f = d + -34314\/5. Factor 4\/5*l**3 + f + 192\/5*l + 48\/5*l**2.\nAnswer: 4*(l + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8 - 3 + 25*v - 22*v + 0. Let h(m) = -4*m - 7. Let l be (-38)\/5 + 24\/40. Let o(x) = l*w(x) - 5*h(x). Let r(a) = 2*a**2. Give r(o(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47810*t**3 - 4136*t + 2062*t + 2074*t.\nAnswer: -47810*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 7*s = -12256. List the prime factors of s.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*w + 79*w = 142356. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*(-495)\/22*(-54)\/(-135)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2\/2 + 4049. Suppose 2*s + 2*s - 8 = 0. Let k(q) = 9*q**s - 8*q**2 + 12*q**2. What is k(t(p))?\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2364 = 4*r. Let m = r - -1061. Suppose -z = 4*z - m. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*m = 30, -m + 89 = 84. Solve d*b - 10*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 9*n - 94. Suppose 6*g + 4 = 3*u + g, -3*g = 5*u - 52. What is the tens digit of i(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013607688556 rounded to 7 decimal places?\nAnswer: 0.0001361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*l + 1 = 46, -2*x - 33 = -5*l. Let r be (6\/x)\/((-6)\/60). What is the second derivative of 0*i**4 - 8*i**4 - r*i + 10*i wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygysyyysgygyyyyyyss. Give prob of picking 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 9*q**2 - 11*q**2 - 15*q + 19*q to a*q + p + l*q**2 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/3558 - 75769\/96066. Let p = 355\/5229 + -92\/249. Find the common denominator of p and m.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3552527 and 17589?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/102)\/((8\/4)\/6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 3*k - 14 - 5*k + 0*k. Let x be t(14). Suppose 0 = -x*z + 3*z - 372000. What is z rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -eea (base 15) to base 13\nAnswer: -16c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19340 + 20?\nAnswer: 19360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 - o**2\/2 - o + 4. Let d be 6*(-7 - -4)\/9. Determine x(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 39. Suppose m = -3*f + 1 + 10, -f = 3*m - 1. Solve -3*k + f*d = -20, 5*k + d + n = -2*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n - 4*u - 2, 0 = -4*n - 5*u. Suppose 0 = -s - c + 6, 4*c + c = n*s - 80. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 964*g**4 - 42 with respect to g.\nAnswer: 3856*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 + 1945b?\nAnswer: 19418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-7))\/(6\/21). Let p(q) = q**2 - 4*q - 4. Let h be p(4). Let k be 15\/g - (h + 5). Solve 5*o - 3*c = 9*o - 1, k = -4*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96\/7? (a) -1 (b) -7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4400454 is divided by 3262.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b**2 + 4*b - 3. Let m be v(1). Let c = 21 - m. Find the third derivative of -3*g**2 - 8*g**3 + 5*g**c + 20*g**2 wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) 5 (c) -8645 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 - 19*r - 3. Let u = 59 - 68. Let n(o) = 3*o**2 - 9*o - 1. Let g(m) = u*n(m) + 4*k(m). Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3 - 4797*h**2 + 1257*h - 1224080601 with respect to h.\nAnswer: 9*h**2 - 9594*h + 1257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:57 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*(-65190)\/(-477)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13756 is divided by 430.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37528 times -0.1?\nAnswer: -3752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p - 2)*(4 - 2*p**2 - 4) + (6*p - p - 2*p)*(3*p**2 - 6*p**2 + p**2) - 6*p**3 - 4*p**3 + 11*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 4*m. Let o be (802208 - -2) + 1 + -1 + 1. Suppose m = 4*n - o + 2211. Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 + 50\/(-3))\/(70\/30) - -8?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 3424.\nAnswer: 684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauae. Give prob of sequence ae.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 68 - 10 - 54 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d**2 - d. Let l(y) = y**2 - 4. Determine -l(i) + s(i).\nAnswer: -14*i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 60*x**5 - 524866*x**4 + 1147264870*x**3 + 2565981274*x**2 - 2488491250*x + 459375000 = 0.\nAnswer: -3, 4\/15, 1\/2, 4375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.91 take away -68620942?\nAnswer: 68620923.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75\/4*m**3 - 1053\/4*m + 495\/4*m**2 + 729\/4 = 0. What is m?\nAnswer: 9\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -48\/7, 2, 0.4, -2\/3 in ascending order.\nAnswer: -48\/7, -2\/3, 0, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 2 - 13)*(-165 + 165 + 377*w) + 6*w - 4*w - 4*w to v + t*w and give t.\nAnswer: -10935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.9757 + 0.0243. Let s = 0.01 - 0.31. Which is the second biggest value? (a) 0 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.5 + -15.2. Which is the nearest to -0.1? (a) z (b) 0.1 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-20))\/(21\/(-84)))\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2\/7, -0.1, 3.8 in descending order.\nAnswer: 3.8, 3, -0.1, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11\/4, 0.55, 5.6?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 + 2152*s**3 + 204912*s**2 + 4195800*s - 73871028 = 0.\nAnswer: -423, -63, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6*b + 9*b = -89714, 17944 = n - b. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14431535.\nAnswer: 5, 691, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2120439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 454 and 1?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9.205816 + 6.007693\nAnswer: 15.213509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8909 + 3*l**3 - 8909.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -169, -253, -337, -421?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-777)\/(-210) + 63\/(-18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 47933.19 months?\nAnswer: 3.9944325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -213. Let w = 195 + k. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 937090?\nAnswer: 937086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -10, -56, -140, -274?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 562 (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*d + 980*d - 3 - 138*d - 163*d + 3 - 128*d - 137*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 36 = -2*v. Suppose -v*a + 8 = -8*a. What is the second smallest value in 0.3, -3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/450*10\/6*192\/18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 - (-17)\/9. Let i be -2 + 222\/36 - (1 - -2). Let g = x - i. Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, -47, -21, 7?\n\"Answer: x**2 + 21*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, 647, -4, 1 in decreasing order.\nAnswer: 647, 1, -4, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*o + o + 4 = 0, -5*o = 5*a - 10. Suppose -4*w + 54 = -w - b, 5*w - b - 90 = a. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/7)*z)\/(z\/z**(1\/15)))\/(z**8*z*z*z*z*z**(-2\/17)) assuming z is positive.\nAnswer: z**(-21856\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b*b**3))\/((b\/(b*b**(-2\/25)*b*b)*b)\/b**(-6\/11)) assuming b is positive.\nAnswer: b**(-172\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*w**4 + 67*w**4 - 2071*w**3 + 2072*w**3)*(-1 + 2 + 0) as u*w**3 + x*w**2 + t + r*w**4 + q*w and give r.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/120 and -97\/11448?\nAnswer: 57240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 15) in base 3?\nAnswer: -200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -141*s + 2646. Calculate x(19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*p - 4*k = -385*p - 2, -2*p = -2*k - 2. What is the lowest common multiple of p and 212?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -134. Suppose -5*f + 5*h = -1335, 643 + 178 = 3*f + h. Is f\/14 + w\/56 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 926 = 910 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4 - 3*b**4 + 2*b**2 - 3*b**3 + 2 + 3*b - 3*b**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 26 = 5*n - p, n + 5*p + 1 = 0. Let r(y) = -y**2 + 8*y - 14. Let f be r(n). Let k(c) = 10 + f*c - 3 + 2 - 3. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102200120020 - 212?\nAnswer: 102200112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.8, -4, -0.2, -1.2, -0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.0171, -0.4, -2\/3, -0.392?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15431.55m?\nAnswer: 15431550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 - 7.84. Let q = 4 + d. Let m = -0.6 - -0.2. Sort 2\/5, m, q.\nAnswer: q, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -27) + 31 + -51\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1\/77, -1, -0.2, 22, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*o = -45, -2*y - 5*o - 11 = 2. Let l be (3 + 1)*3\/(-6). Let k = l + y. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/95 - 184\/285. Let f = 2133 + -2138. What is the nearest to r in -1\/8, 4\/3, f?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {x: 1, t: 3, r: 5, v: 2, d: 3, b: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.851685236 take away -4?\nAnswer: 4.851685236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.253 + 29.253. What is the third biggest value in -1, c, -2\/5, -4, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/(-9)*1). Suppose -2*y + 5*d = -r + 18, -3*d = -15. Suppose -4*s + 7 = y*g - 5, 5*g = -2*s + 6. Solve -5*w + s = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 - 12*g. Let n(d) = d**2 - d. Suppose 2*r + 2*i = 6 + 6, 0 = 4*i - 16. Give r*x(o) - 22*n(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w**2 - 7*w**2 + 0*w**2 + (w - 2*w + 3*w)*(2*w - 3 + 3) - 2*w**2 + 2*w**2 - w**2 to the form c*w**2 + q*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -65\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:16 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(0 + 1)*-1. Suppose o*i + i + 52 = 2*x, 0 = -2*x + 2*i + 44. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19914952 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Let x = 194 - 103. Suppose 2*y + x = 4*y + 3*v, w*y + 5*v - 240 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353 - 357. Which is the third biggest value? (a) w (b) 0.503 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21311328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**8\/84 + 2*h**7\/105 + h**6\/15 - 2*h**5\/15 - h**4\/6 + 2*h**3\/3 + h**2. Suppose b(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from xrrxlxxxlxxlxxxlxxrx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Suppose j*s - 82 = 103. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g - 8*g**2 + 0*g - 8. Let l be s(12). What is l rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)*s*s**(-2\/27) assuming s is positive.\nAnswer: s**(-245\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 21550 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 322, 1150, 2530, 4516, 7162?\n\"Answer: 9*r**3 + 222*r**2 + 99*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1099806, -1099807, -1099808?\nAnswer: -1099809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*w + 64 + 475 + 224 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**3 + 5*h**2 - h - 4. Calculate w(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 1919*c**5\/20 + 491*c**4\/4 - 1350*c. Find the third derivative of z(y) wrt y.\nAnswer: 11514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i - 9. Let y = 42 + -38. Let d be x(y). Let l = d + -35. Solve -l = j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*c + 3*c - 358, 3*c = -6. Let m(v) = v**2 + 18*v - 10. Let i be m(-8). Let k = h + i. Round k to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 718178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -26\/7 (b) 0.1 (c) 0.5 (d) 503\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z + 6 + 20*z**3 - 11 - 26*z**3 - 3*z**2 + 0*z**3. What is r(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58230854 to the nearest integer?\nAnswer: 7631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02188 and -0.06432.\nAnswer: -0.04244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 498241966461?\nAnswer: 498241966450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28 - 1 - (9 + -11). Let k = -24 + w. Suppose -k*z - 30446 - 2034554 = 0. Round z to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {r: 2, m: 3, p: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 572256?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 3*w)*(-3 + 7 - 3 + (-3 + 6 - 4)*(0 + 2 + 0)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44560 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3\/128 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*sqrt(19)*1.\nAnswer: 4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*i. Let p = 39 + -34. Suppose -v - 27 = -4*v + 3*j, i*j = -p*v + 52. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/8)\/f**(1\/9)*(f**0)**21 assuming f is positive.\nAnswer: f**(-17\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14018 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 4, r: 5, m: 2}. Give prob of sequence rmrm.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 g when four letters picked without replacement from {u: 1, c: 1, q: 1, p: 1, n: 1, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, c: 5, x: 1, j: 5}. What is prob of picking 2 j and 1 f?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) 6.5 (c) 3 (d) -2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (27\/21 - 2). What is the biggest value in -5, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + 4. Let o(f) = f**3 + 11*f**2 + 2. Let j be o(-11). Let l(g) = 9*g**2 - g + 9. What is j*l(c) - 5*r(c)?\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.9. Let h = -48 + 138.8. Let a = h - 91. What is the closest to a in r, -2\/9, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6540 and 65400.\nAnswer: 65400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 7. Let p be s(7). Suppose -16 = -2*q - 2*c, p = -3*q + 4*c - 0*c + 3. Let w(a) = -a + 5*a + q*a - 4*a. Let y(i) = 2*i. What is y(w(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-18)*(272\/(-6))\/(-4). What is the least common multiple of 4 and -10 - (-5 + 0) - z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -67 (c) 2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48532 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42017687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 - 14*i**2 + 9*i + 126 = 0. Calculate i.\nAnswer: -14, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m**3 + 5002*m**2 - 5002*m**2.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 6*a**3 - 165957 + 2*a**2 + 36*a**4 + 7*a**4 + 165958 in the form h*a**2 + u*a**4 + r + y*a**3 + k*a and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520346.\nAnswer: 2, 223, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**3 + 6*x**2 + 18*x - 17. Determine k(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3419?\nAnswer: 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = 0, -35 = 5*s + 2*u. Find the common denominator of 17\/2 and 2\/(-2)*23\/s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 36\/5. Let l = 1.72 - 0.12. Let n = 1.7 - l. What is the second biggest value in a, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n - 471 + 359 - 22*n**3 - 254*n**3 wrt n.\nAnswer: -1656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015555?\nAnswer: 5, 19, 43, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 2. Suppose s = 2*n - 2. Let t(c) = c**3 - 3*c**2 - c - 3. Determine t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2133130313323?\nAnswer: -2133130313323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 33, 96, 205, 372, 609, 928?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjmjj. Give prob of picking 2 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose 99 + 43 = 5*p - 4*c, -g*c + 34 = p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(38)\/(sqrt(2)*-1))**2*3 + ((sqrt(684)*1)**2 + 5)*-2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*w = 359*w - 1899 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 a factor of 3305180596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 684 - 1252. What is the tens digit of 1\/5 + f\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -da0?\nAnswer: da1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -238090 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d = -29*d + 486. Is d\/12*7586\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1911.7997527 and -3512.\nAnswer: -1600.2002473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2)\/(90\/(-144)). Suppose 4\/5 + x*g - 13\/5*g**2 + 3*g**4 - 14\/5*g**3 = 0. Calculate g.\nAnswer: -2\/3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.9 - -10.3. Let w = 23 + -255\/11. Sort w, 0.1, m.\nAnswer: w, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2, -4*a + 7518 = k - 4176. List the prime factors of a.\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -8\/15*r**3 - 2\/5*r - 11\/10*r**2 + 29\/20*r**4 - 14\/15*r**6 - 13 + 4\/5*r**5. Let l(u) = 0. What is u?\nAnswer: -1\/2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16*o**2. Let a(x) = -581040*x. Give i(a(t)).\nAnswer: 5401719705600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29772709231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 28926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 48. Suppose 0 = -s + 2*m + 2 + 6, 8 = -2*s - 2*m. Sort s, y, -4 in increasing order.\nAnswer: -4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-122 - 67 - 16)*(o + 4*o - 7*o)*(o + 4*o - 6*o)*(8*o**2 + 2*o - 2*o) to w*o**2 + g*o + i + r*o**4 + y*o**3 and give r.\nAnswer: -3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 9540, 3, -3 in decreasing order.\nAnswer: 9540, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i = -35*i - 56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -43*d**3 + 5*d**2 + 5*d - 5. Let w(x) = -494*x**3 + 57*x**2 + 57*x - 57. What is -57*r(i) + 5*w(i)?\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(sqrt(245) - (sqrt(245) + sqrt(245) + -2*sqrt(245) + 1)))**2.\nAnswer: -2100*sqrt(5) + 36900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, x: 3}. What is prob of sequence xxlx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11529*g*k**3*o**3 - 3*g*k**2*o**3 + 5*g*k**2*o**2 - 3095*g*o**2 + k**3*o wrt o.\nAnswer: 69174*g*k**3 - 18*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*i + 218*i + 3975 = 0. Calculate the highest common divisor of 3392 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*x**2 + 20*x - 19*x - 2*x**3 + 0*x**4 + 3*x**4 as p*x**2 + u + l*x**3 + o*x + t*x**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + a + 3. Is 13 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 14*i - 8. Let x = i + 4. Find l, given that -7*l + 13*l**2 + 2 + 7*l**2 - x*l**3 - 13*l**2 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2549.661 tonnes?\nAnswer: 2549661000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 3, z: 5}. Give prob of sequence zk.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50745.\nAnswer: 3, 5, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 3. Let w be z(-2). Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 2292904*b + 29807076 = 0 for b.\nAnswer: -573213, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(10)\/sqrt(2))**2*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140575478609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -28096000 divided by 10975?\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/(-10))\/(5\/4 - 2). What are the prime factors of q + -3 - -222 - 8\/(-2)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102440 is divided by 35561.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1565 + 60664. What is the thousands digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6095, 6100, 6105, 6110, 6115, 6120?\nAnswer: 6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -1. Let q be 14\/6 - (s - 13). Let c be (-7)\/(-6) - 2\/4. What is the smallest value in -5, c, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 - 10 - -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31269, -5, -239 in increasing order.\nAnswer: -239, -5, 31269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30ba1 + 652?\nAnswer: 31523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9.8, -3 in descending order.\nAnswer: 1, -3, -9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -85*u + 85. Let w be p(-9). Calculate the greatest common factor of 125 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + 24\/30. Let q = -0.07 - 0.03. Suppose -u = 2*h + 6, -2 + 6 = -5*h + 3*u. What is the closest to 0.1 in h, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -74, -157, -272, -419, -598?\n\"Answer: -16*y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:20 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znx when three letters picked without replacement from zininxxxnni?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*(-1425)\/(-7410)*-247.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 1. Let t(f) = -9*f + 3. Let v(o) = -5*j(o) - t(o). Determine v(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -58*z. Let a(q) be the third derivative of q**5\/15 - 109*q**2 - q. What is a(p(b))?\nAnswer: 13456*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.485 from -1.\nAnswer: -2.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/792 and -131\/1464?\nAnswer: 48312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h - 8*h + 3*h + 2*h - 3*h + 3*h - 3*h - 2*h + h + 0 + 0 - 2 + 2 + 2*h + (1 + 1 + 0)*(3 - 3 + 2*h))*(0*h**3 + 0*h**3 - 2*h**4).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - e82?\nAnswer: -e85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -27524547.6 to the nearest ten thousand.\nAnswer: -27520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2 + 4\/(-2). Let i = w + -4. Let v be 3\/(-2*27\/(-12)). What is the third biggest value in i, -2, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1079377 or -1?\nAnswer: -3\/1079377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3003*l**3 - 6*l**2 + 50*l + 195. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g - 4*g + (3 - 2 + 1)*(-4*g + 3*g + 0*g) + 4 - 4 - 2*g + (4 - 3 - 2)*(-g - 5 + 5) - 448*g + 1629*g + 275*g in the form v + w*g and give w.\nAnswer: 1447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -8*x + 2. Let m(p) = 3 - 3 - 2*p + x + 1. Let g(j) = -j. Let f = 10 + -6. Calculate f*g(q) - m(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t**2 + 10\/3*t - 8\/3.\nAnswer: -2*(t - 4)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579761537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.8 - -19. Let z = w + -11. Let j = z - 0.08. Which is bigger: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-5 - (11 - 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/21 - 134*x**4\/21 - 1282*x**3\/7 - 8314*x**2\/21 + 183364*x\/21 + 62656\/7 = 0. Calculate x.\nAnswer: -16, -11, -1, 6, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 17680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(15*6\/(-36))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 4186?\nAnswer: 37674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1588*x = -79 - 412 - 1097 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o**2 + 1. Let s(g) = 2*g**2 - 2*g + 1. Give s(z) - 2*v(z).\nAnswer: -2*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**5\/60 + 169*u**4\/24 + 3582*u**2. Let p(g) = -2*g. What is b(p(j))?\nAnswer: 28*j**2 - 338*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 426 = 27*m - 1956 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*z**3 + 51835*z - 51835*z)*(2*z + 3 - 3).\nAnswer: -436*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -2*u**2 - 15. Let p(j) = -9*j**2. Calculate t(p(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/583? (a) -1 (b) -2\/3 (c) -1.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 3*u**2 - 13 + 34.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28898204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 = -77. Let i(p) = 8*p + 9. Let z(b) = 12*b + 14. Give x*i(y) + 5*z(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 357131832 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432917 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 442 + 1006. Suppose -6*q = -88 - z. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 - 304. What is the hundreds digit of (-1 + 1186\/g)*38\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31019, -60833, -90647, -120461, -150275, -180089?\nAnswer: -209903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 75588156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -4 - 2) + (-10 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 6*u + 2*u + 16 - 16 - 4*u**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13610 + -13569.907. Round o to one decimal place.\nAnswer: 40.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -36*p - 362. Determine h(-8).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4768 and 23912224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (3 + sqrt(102)\/(sqrt(18)\/sqrt(3)))**2 - (-4 + 5 + -1*sqrt(153) + -1).\nAnswer: 28 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1338)\/(-24) - (-3)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*l*m**3 - i*l - 9*i*m**5 - 2*i*m**2 - 9*l - m wrt m.\nAnswer: 6*i*l*m - 180*i*m**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + 51*f**3 - 2 - 37*f**3 + f + 3*f**4 + 3*f**4 - 14*f**3 to s*f**2 + u*f + v*f**4 + m + n*f**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 4*h**2 + 0*h**2. Let c(l) = 64*l - 1347. Let b(s) = -10*s + 204. Let g(p) = 33*b(p) + 5*c(p). Calculate g(x(u)).\nAnswer: -20*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11065 - 5?\nAnswer: 11060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 160040190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 2\/27*l**3 + 2*l**2 + 0*l + 5\/108*l**4 + 2\/135*l**5 + 0 + 1\/540*l**6. Factor x(c).\nAnswer: 2*(c + 1)**2*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 183?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.4. What is the third biggest value in v, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 4*v - 2. Let l be d(3). What is the common denominator of (-201)\/24*l + -1 and 5\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Suppose -i = -g*i - 4. What are the prime factors of (i - (2 + 1))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -791253, -791255, -791257, -791259, -791261, -791263?\n\"Answer: -2*i - 791251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:51 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyobubj. What is prob of picking 1 b, 1 u, and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2 - 1 + 5 - y + 3. Let w be u(4). Suppose p = 5*s - 2 + w, 3*p - 3*s - 9 = 0. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 150\/23 in -3, -11\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 4, -3729, 3 in decreasing order.\nAnswer: 4, 3, -45, -3729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 27. Let m(l) be the third derivative of -1\/120*l**6 - 2*l**2 + 0*l + 0*l**4 + 0*l**3 + 1\/30*l**5 + w. Find the third derivative of m(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 12*k + 99. Let f(c) = -2*c + 1. What is -6*f(n) - i(n)?\nAnswer: -2*n**2 - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 4*r**2 - 5*r + 7. Let z be q(5). Let v = 45 + z. Solve -h = -4*p + 16, -h + v*p - 5 = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/465 (b) -8 (c) -3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 111*b**2 + 125*b - 178. Give c(27).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 1, x: 1, q: 2, b: 2}. Give prob of picking 1 b, 2 q, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1700016 is divided by 1700004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509032, 1018073, 1527114, 2036155?\nAnswer: 2545196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6585 + 6927. What is the greatest common factor of q and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 14*k - 8*k. Let c(f) = 11*f + 5. Let g(v) = -5*v - 3. Let b(i) = -3*c(i) - 5*g(i). Calculate b(h(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 1 (c) 7.9 (d) 0.037 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105324866.\nAnswer: 2, 19, 23, 37, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*a**3 + 6\/7*a**2 + 2\/7 + 6\/7*a = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2. Let p(d) = 31*d**2 + 12*d - 24. Let f(y) = -y**2 - 2*y + 4. Let g(c) = 6*f(c) + p(c). Determine g(x(b)).\nAnswer: 400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from zcntcrn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37131108 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 2*d - 3. Let l(v) = -v**2 + 1. Let q(r) = -4*l(r) - x(r). What is the remainder when q(1) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -34, 0.1, 1, 24\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7835 - -7798 - (45 + (-2 - -2))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**16\/j*j)*j)\/(j*j**(6\/7))*j**(-17)*j*j**(-35))**(-6\/17) assuming j is positive.\nAnswer: j**(2808\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/143)\/((-1)\/2). Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 4*k - 3. Let y be g(2). Factor 10*w**4 + 6 + 0*w**2 - 15*w**2 - 5*w**3 - 2*w + 7*w - y.\nAnswer: 5*(w - 1)**2*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g\/(g**(-1\/21)*g)))\/g*g)\/(g*g**(2\/5)))\/((g*g**(-1\/9))\/g**(-6)))**(3\/10))**29 assuming g is positive.\nAnswer: g**(-67019\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -33*t**2 - 4534*t - 4531. Let r(q) = 14*q**2 + 2268*q + 2266. Let k(v) = 2*m(v) + 5*r(v). Solve k(d) = 0 for d.\nAnswer: -567, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let o(i) = 659*i + 1154. Give m(o(r)).\nAnswer: -1318*r - 2308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*d = 50, 9 = 5*d + 4. Suppose 1 = -h + 6. Let n = l - h. What is the lowest common multiple of n and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 - 333414?\nAnswer: -333241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h + 2 - 8 + 4*h + h + 6*h.\nAnswer: -14*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 5. Let x be a(-5). Let j be 1\/3*x - -40. Suppose 0 = 11*d - 15*d + j. Which is smaller: d or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -10, -27, -48, -73, -102?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 217 - 91)*(-3 + 4 - 2)*(2 + 1 - 1)*((-1 - 3 + 5)*(3 - 5*o - 3) + 3*o - 5*o + 3*o).\nAnswer: 264*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -2\/171 (c) 0.1 (d) 0.015 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*j + 448*j - 885*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1907106271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8613 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -966 divided by -7?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -16*j - 74. Let n be s(-5). Suppose -n*v = -9*v + 2*w + 7, 0 = 4*w - 16. Solve v*u = 3*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -b7d?\nAnswer: -b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 3. Let l be p(-7). Let y(o) = -o**3 - 4*o**2 - o. Let i be y(l). Suppose i*u - 25 = 3*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 0.1, -7, -1\/7, -0.5 in ascending order.\nAnswer: -7, -0.5, -1\/7, 0.1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {x: 3, e: 1, r: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(30\/(-100))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 + 0 = 5*w, -4*w - 5*c - 9 = 0. Let i = -0.35 + 0.1. Let a = i + -0.05. What is the closest to w in a, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Suppose -5*t = k - 6, 5*t + k - 4 = t. Let z(u) be the first derivative of 5*u**2 - 6*u**2 + t*u**2 + 2. Give m(z(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**3 + 0*m**3 - 2*m**3)*(60633*m + 3374*m**2 - 60633*m).\nAnswer: 30366*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 125*q**4\/24 + 70*q**3\/3 - 18*q**2. Is y(4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((4 + sqrt(448)*-2)**2 - (sqrt(448) + 3 + (sqrt(448) + 2)**2))*-6.\nAnswer: -146124 + 18144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u - 3207 = 3*n, -4*u + 5*n + 3209 = 0. What are the prime factors of u?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1218, -2519, -3812, -5067, -6254, -7343, -8304?\n\"Answer: 5*p**3 - 26*p**2 - 1258*p + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -0.3 (b) 2\/15 (c) 9 (d) -0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4598\/5 - -257403\/280. Calculate the common denominator of l and -45\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063927737 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 489108110 less than -196?\nAnswer: -489108306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 756 = -6*o. Suppose -104 = -2*b - 32. Calculate the greatest common factor of b and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 759547*w + 861338.\nAnswer: 759547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1604 + -1590.98. Let k = -0.02 + p. Let y = k + -12.7. Which is the second smallest value? (a) y (b) 0.04 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 809, 1820, 3235, 5054, 7277, 9904?\nAnswer: 12935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q - 2265 = -1691 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1. Let u(k) = k + 11. Let i(g) = 6*a(g) + u(g). Let p be i(5). What is the highest common factor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 - 27806*s - 9745105 = 0.\nAnswer: -27451, -355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*c - c = 16, 5*o - c = 4. Suppose o = -g + 2*g. Solve -1 = u - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4204 - 4198 = 5*g, 0 = w + 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -274, -414, -554, -694?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 * -0.02\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340864040 or -340864039?\nAnswer: -340864040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18175720 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*(-41 + 38) + -13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - f**3 + 0*f + (3 + 0 - 4)*(-20*f - 21*f**3 + 20*f) to the form u + v*f**3 + b*f + c*f**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2*r - 5*r + 5 + 0. Let j(x) = -x**3 + 33*x**2 + 34*x + 8. Let s be j(34). Let d be l(s). Solve d = 5*b - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-9)\/(-4))*172\/(137600\/240).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 94 * -7\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17655a1 - 3?\nAnswer: -17655a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4585816 divided by -2\nAnswer: -2292908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let h(d) = -27*d + 1. Calculate h(u) - 4*m(u).\nAnswer: -31*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(132)*4 + sqrt(132))\/sqrt(4))\/(sqrt(243)*4 - sqrt(3)) + -1)*4)**2.\nAnswer: -72*sqrt(11)\/7 + 4145\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/60 + t**4\/6 + 2*t**3\/3 - t**2. Let d be g(4). Let j(x) = x + 1. Let a be j(-1). Solve d + a = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-23)*o\/(o*o\/o**(-2\/29)) assuming o is positive.\nAnswer: o**(-669\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/9 + 596*o**2\/9 + 1973998*o\/9 + 16315400\/3 = 0?\nAnswer: -841, -25, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.7 - -0.3. Let v = q - 21.1. Are -0.3 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:53 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1 + 2*c - 3*c + 0*c. Let q(g) = -7*g + 1. Let a be q(-1). Suppose a = z + z. Give n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 4*g + 2. Let a be b(-2). Is (-7323)\/(-81)*3 - (-4)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x**(12\/7)\/x)*(x\/(x*x**(-3)*x))\/(x\/(x\/((x\/x**(-2))\/x))) assuming x is positive.\nAnswer: x**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1666088507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -43?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7216 - -0.13.\nAnswer: -7215.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, d: 10}. What is prob of picking 4 z?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344367404.\nAnswer: 2, 67, 439, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 492 = -5*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-10) - -2) + -2. Let s be 5*3\/(-22) + 4\/8. Which is the nearest to 0.1? (a) s (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 28. Factor 5*b + 10*b - l*b**2 - 21*b.\nAnswer: -2*b*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3 + (4\/(-10) - (-770)\/175)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/60)\/(-2 - 16\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - 2)*76\/57?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1, -15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-9)*(2\/10)\/((-10)\/(-320)*32)\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 17. Let g(w) = -w**3 - 3*w**2 + 1. Let h be g(-3). Which is the nearest to h? (a) -4\/5 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611.305569ms to weeks.\nAnswer: 0.0000010107565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -111\/31, -1\/8, -17\/31, 0, -0.5 in descending order.\nAnswer: 0, -1\/8, -0.5, -17\/31, -111\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -6. Find the common denominator of (-893)\/(-72) - 6\/(-27) and b\/5 + 1149\/90.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:06 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304 (base 5) in base 12?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4190, -8380, -12570, -16760, -20950, -25140?\nAnswer: -29330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 + 2. Suppose -2*s = -5*s - 0*s. Let t be c(s). Factor -1\/4*n + 0*n**t + 1\/4*n**3 + 0.\nAnswer: n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -739*l + 683*l = -112. What is the closest to -2 in l, 0.4, -1\/17, -5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -i - p, -p = 2*i - 3*i - 6. Let w = 36 + i. Solve 0 = 5*t + 5*q - w, 2*t - q - 17 = -4*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqu. What is prob of sequence qkqu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -21*l**5 - 104742*l**4 + 869151*l**3 - 764388*l**2 = 0.\nAnswer: -4996, 0, 1, 51\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 210\/42*(-1)\/60*-8*3\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1573))*2)**2 + (sqrt(78)*3)\/sqrt(6)*1.\nAnswer: 179*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 3*z + 7. Let f be o(6). Suppose 5*q = 5*a + f, 4*a - 69 = -2*q - 29. Solve 2*d = -2*n - 2, 3*n + q = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -987*q - 206330. Give r(-209).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-4)\/(-32)*-2)\/((-10)\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 30) + (-64 - (169 + -156))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 305.035031 to 0 decimal places.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26524 is divided by 320.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 40. Let y be v(-8). Let c(l) be the first derivative of -8\/3*l**3 + y*l**2 - 8 - l. Give c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3136716982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(2057) + sqrt(2057))**2 + 5) + 4 + (4 + -2*sqrt(2057) - sqrt(2057))**2.\nAnswer: -264*sqrt(17) + 59698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a + 18. Let f be l(-9). Suppose -3*s + f = 30. Let b(m) = -6*m + 2. What is the remainder when s is divided by b(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -67*w - 3. Give o(-2).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27486 is divided by 886.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*1752\/480*2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 - x**2 + 1. Let d be j(-1). Let o = d - 4. What is the derivative of -r + o + 2 - r wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**2\/2 - 4*c + 2. Let m(a) be the first derivative of -a**2\/2 - 4*a + 2. Let t be m(0). What is i(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 267 (b) -1 (c) -4 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - -6.7. Let l = 37959.99904 - 37955. Let t = d - l. What is t rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:14 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 4*k**2 + k**2 - 11*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*w + 319*c**2 - 54*c*w - 215417*w wrt c?\nAnswer: -6*c*w + 638*c - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6680.458 grams in nanograms?\nAnswer: 6680458000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33782, -67597, -101424, -135269, -169138, -203037, -236972?\n\"Answer: -o**3 - 33808*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07085? (a) -1\/5 (b) -0.1 (c) 0.4 (d) 1\/2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*d, 0 = -2*p + d + 136 + 27. Suppose -6*s - p = -2*s. Let z = 43 + s. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(1\/6). Let s be -1*c - (-1 + 11). What is the units digit of (s\/10)\/(12\/(-90))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*((-512)\/368)\/(-2)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 - 2110002?\nAnswer: -2104211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:38 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5750?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156342*h**2*t + 7*h**2 + 281*h*t - 3468*t wrt h.\nAnswer: -312684*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:40 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**3 + 1950415*n**2 + 7801720*n + 7801740 = 0.\nAnswer: -2, 390087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 3. Let k(t) = t**2 + 8*t + 3. Let c be k(-9). Solve y*z - c = 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab87 (base 16) in base 6?\nAnswer: -535143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:29 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/13 + 5724*j**2\/13 - 11442*j\/13 + 440 = 0.\nAnswer: 1, 2860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 19 + 25. Let k be 4\/n - (-3546)\/99. Let s be 16\/72 + (-14)\/k. Which is the second biggest value? (a) 0.2 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*o + 3*o**2 + 61*o - 2*o**2.\nAnswer: o**2 - 89*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44419239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/3 + 92*h**2\/3 + 2464*h = 0.\nAnswer: -42, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4302 is divided by 393.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 19d9?\nAnswer: -19dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 44.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -g - 2*t - 9, 2*g + 6 = -2*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (8 + (-6 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 11*a**2 - 12*a + 5. What is f(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 6 + 36. Which is the third smallest value? (a) -1\/2 (b) -28 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2272 divided by -568.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 16*y**2 + 19\/24*y**4 + 0*y + 13\/6*y**3 + 0. Differentiate l(a) wrt a.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtat when four letters picked without replacement from {c: 1, x: 1, t: 4, a: 1, y: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -510841? (a) -1\/6 (b) -9 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, u: 7, e: 2}. Give prob of sequence uhh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 1386 + h**3 + 482 + 646 as m*h**3 + p + r*h + z*h**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.086 + -0.894. Round s to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.704 - -337.296. Let a = l + -337.7. Is a at most as big as -0.062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/6)\/(11 + -13). Let v(g) be the second derivative of -1\/30*g**6 - g + y*g**3 + 1\/16*g**4 - 1\/8*g**2 - 1\/20*g**5 + 0. Factor v(z).\nAnswer: -(z + 1)**2*(2*z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - q = -12, -2*v + 2*q - 3*q - 30 = 0. Let l(k) = -k + 7. Let t be l(v). Solve 6 = 5*f + 3*w, -3*f + 5*w + t = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 15*o + o - 5*o - 9*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (1 + 3))*0. Let j = 16.09 + -16. Let q = -3.91 - j. What is the third smallest value in x, -0.3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*h = -10, 5*h - 13 = -3*u - u. Suppose -d + 12 = -u*d - 4*c, 4*c = 2*d - 12. Suppose -116 = -4*a - d*a. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 146663964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504333236*z + 43*z**2 + 504333236*z.\nAnswer: 43*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 8:58 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 191930069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g**3 + 2*g**2 - 152*g + 5306?\nAnswer: -18*g**2 + 4*g - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1047 + 1121 - 5263)*(1 - 1 + l**2) to j + n*l + k*l**2 and give k.\nAnswer: -5189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooxoooooooooo. Give prob of sequence oo.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-1))\/2 - 3. Suppose 0 = x*q + 4*g - 82, 0 = q + 3*g + 22 - 56. Suppose q - 82 = -4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 1 (b) 6528 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 6*o**2 - 6*o - 2. Let n be 63\/36 + (-2)\/(-8). Let k be -8 - -2*(3 - n). List the prime factors of v(k).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -518*d**3*i - 2*d*i - d + 41 wrt d.\nAnswer: -3108*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:05 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*3 + (10\/15)\/(64\/252). Which is the closest to 0.2? (a) -2\/13 (b) 1\/3 (c) i (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3 + 551400*t**2 = 0.\nAnswer: -275700, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r + 1. Suppose 0 = 11*v - 7*v + 68. Let t(f) = f**2 + 15*f - 35. Let y be t(v). Let g be k(y). Solve -2*i - g = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2059?\nAnswer: -2059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, -1, -2, -3, -20.\nAnswer: -20, -3, -2, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/(-39))\/((-4)\/(-30)). Let q = -210 - -1904\/9. Which is the second smallest value? (a) q (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2452 + 2*o**2 + 2*o**2 + 4902 - 2450.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465 + 100. Let o = -364 - y. What is the least common multiple of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*g - 190071 + 183372 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8292 - -548.8648. Let u = -553 + r. What is u rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**5\/80 + g**3\/24 - 3*g - 3. Let y(a) be the first derivative of h(a). Let y(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 388\/(-30)*(123 + -180). Which is bigger: c or 738?\nAnswer: 738","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1283 + 1311 + 0 + (4 - (1 + -2 + -1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.042 + 0.193. What is g rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -4, -914803 in ascending order.\nAnswer: -914803, -81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 5, o: 8}. Give prob of sequence uoo.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -303241326?\nAnswer: -303241331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 1 (c) -4 (d) 1\/217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -7, -1, 37, 35 in descending order.\nAnswer: 85, 37, 35, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 7. Let b be j(5). Factor 4\/3*p**b - p**2 - 3*p - 2\/3.\nAnswer: (p - 2)*(p + 1)*(4*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2453 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29144 divided by -71.\nAnswer: 29144\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 32*l + 24. Let r(h) = 4*h**3 + 25*h**2 + 9*h - 12. Let d(w) = w**3 + 8*w**2 + 3*w - 4. Let a(b) = -7*d(b) + 2*r(b). Calculate a(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046783 to five decimal places.\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -237595 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/229246 and 57\/4.\nAnswer: 458492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 19*c + 137. What is m(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 15*r + 58 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 582*h + 5520.\nAnswer: 3*(h + 10)*(h + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 772.7531 days?\nAnswer: 18546.0744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -112, -27, 5 in increasing order.\nAnswer: -112, -27, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6341 is divided by 2108.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2067 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 - 144. What is the third biggest value in 1, -1, x, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/7 - 1728428*t\/7 + 746865837796\/7 = 0. Calculate t.\nAnswer: 864214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - (-39 + 57)) + (-25 - -10)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61946 and -0.17.\nAnswer: 61945.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**3\/d))**(11\/4)*d**(7\/10)*d**(-19\/3)\/d*d assuming d is positive.\nAnswer: d**(-503\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:02 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*d + 52 = 0, -11*f + 162*d + 123 = -9*f + 155*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (6 - 7 - -43) - 8 - 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12605 + -12605. Let k be ((-3)\/(-14))\/(3\/(-4)). Let q(s) = 2*s - 4. Let r be q(5). Put 0.1, r, n, k in descending order.\nAnswer: r, 0.1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102 + 12001?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**2 - 2\/3*z**3 + 19\/20*z**5 - z - 35 + 0*z**6 + 0*z**4 + 1\/21*z**7. Find the second derivative of h(y) wrt y.\nAnswer: 40*y**3 + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3 - 26550*q**2 - 30993535*q - 61880910 = 0.\nAnswer: -3579, -1729, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-28))\/((-1)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*s**3 + 206*s**2 - 225*s**3 + 212*s**4 - 12*s**5 - 530*s**2 = 0. What is s?\nAnswer: -1\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1540 and 35\/88?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200601497 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89190 and 120.\nAnswer: 356760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1893 - -1548. Are -343 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/4)\/(5\/(-4)). Suppose -22 - 90 = -4*p. Let h be p\/(-6) + 6\/9. Sort f, 0.1, h in ascending order.\nAnswer: h, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (1 - 1) + -2486 + 2480?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01136 + 62.60136. Let t = -93 + 155. Let k = t - n. What is k rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 12. Suppose 3*h + 8 = -5*c, 4*h - 19 = -b. Let a(s) = -s**3 + s - 2. Let w be a(0). Sort -3, c, 2, w in decreasing order.\nAnswer: 2, w, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -1\/15 (c) 5701 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119968*s**2*y**4 - 10*s**2*y - 921*s*y**4 + 433899*s - 6*y**2 wrt y?\nAnswer: 2879232*s**2*y - 22104*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-332)\/(-140) - 2 - 9\/(-21)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-320)\/(-8))\/5 - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -z - 61, -1664*z + 76 = -1662*z + 3*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405834.\nAnswer: 2, 743, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -0.177.\nAnswer: 0.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111010010100111010111001 + 11?\nAnswer: -11111010010100111010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 + 66*w**4 - 110*w**2 wrt w.\nAnswer: 240*w**3 + 1584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 211*y - 21 + 9.\nAnswer: 211*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -199.1 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-540)\/80)\/((-2)\/(-8)). Which is greater: -25 or x?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s + 5*x, 4*s - 16 = -5*x - 6. Let g = s + 28. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4368480 divided by 229920?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75, -88, -109, -138?\n\"Answer: -4*w**2 - w - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4 - 2. Solve -n + 2*x = n - l, -4*x = -2*n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-88 + 72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3*o**3 + 255*c**3*o + 23*c**2 + 21505*c*o**3 wrt c?\nAnswer: 18*c*o**3 + 1530*c*o + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1681 - 16773\/10. Find the common denominator of i and 25\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*a**2 - 198*a**2 + 74*a**2.\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*z + i, -4 = -z - 5*i + 46. Suppose -o = -3*c + 2*o + 141, -3*o = -2*c + 94. What is the remainder when c is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -4648?\nAnswer: 4649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v = 20. What is the highest common factor of v and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2 + 147*z - 5. Determine o(-14).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1690 + -1673. What is the second smallest value in 7, 1\/3, u, 3\/7, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - j = -11*x - 14, -5*j = x - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9490 by -73.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) 2\/5 (c) -288 (d) 16\/35 (e) -1 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -88, -227, -426, -685?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/20 + f**4\/4 + f**3\/3 - f**2 + 19*f - 2. Let a be s(3). Solve 5*d + 13 = -i, -a*d + i - 22 + 8 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, 89, -3, 11 in descending order.\nAnswer: 89, 11, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2619.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 316370.9mm in micrometers?\nAnswer: 316370900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 11*k - 44. Let f be d(3). Let t(s) = -5*s**3 - s - 1. Let z be t(-1). Calculate the greatest common factor of f and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 11. Put 5, o, 3 in increasing order.\nAnswer: o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 444620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:00 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/19240 and -89\/9620?\nAnswer: 19240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose 4*s = -y - 4. Let o be (0*2\/(-4))\/1. Put s, 4, o in increasing order.\nAnswer: s, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3*z - 110*b**3 - b**2*z + 2*z**4 wrt z.\nAnswer: 2*b**3 - b**2 + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/(-8)*(-2)\/((-5838)\/(-297)) and -67\/8.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + 3*n**4 + (1 - 1 - 3*n**3)*(-2 - n + 2).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f - 6. Let g(s) = 4*s**3 + 2*s**2 - 1. Let b be g(-1). Let z be t(b). Solve z = 2*j - 2 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 459. Let g be 1722\/82 - (-2 + -1). What is the highest common divisor of g and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 - 1. Let v(f) be the second derivative of -3*f**5\/10 - f**4\/6 - 7*f**3\/6 - 50*f. Let k(l) = -5*b(l) + v(l). Give k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-603)\/12 - (-3)\/(-4). Let n = w - -123\/2. Let g = -11 + n. Which is bigger: g or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/9)\/(-14))\/((-16)\/((-9600)\/25)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 2*p**3 - p - 9*p**2 + 5*p - 6*p**4 - 7*p in the form g*p + w + f*p**2 + t*p**3 + o*p**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/90*108\/72*-2.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14150 - -60761.5239.\nAnswer: 74911.5239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/8 - 53*u**2\/4 - 935*u\/2 - 5491.\nAnswer: -(u + 34)**2*(u + 38)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3\/10, 17183\/5.\nAnswer: -1\/2, -3\/10, 17183\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(605) + 2)*5 + -2 + (1*sqrt(605) + -2 - (-4 + ((sqrt(605)*3 - sqrt(605)) + sqrt(605) - sqrt(605)))))**2.\nAnswer: 5280*sqrt(5) + 58680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-234)*12*228\/96 and 31\/44.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (752\/(-96) - -9)*-6 + -39.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 7, l: 5, o: 2, s: 5}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1680 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1823760 - 1783152 = 864*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(12\/45)*(-1)\/(-9).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154149767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y**2. Suppose 4*w - 7*w + 6 = 0. Let p(f) = f**w - 4*f**2 + 3*f**2 - f**2. What is k(p(o))?\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.09314 + -114452.\nAnswer: -114449.90686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -29. Let u be (-3000)\/c*(832 + (-12)\/3). What is u rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*j + 80570 = -220*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-32)*p)\/p)**(-50)*p**(-10\/7)*p**43 assuming p is positive.\nAnswer: p**(11491\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/4 + (-9)\/12. Let d = 11 + f. Suppose d = 2*x + 9 - 37. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16857749?\nAnswer: 16857749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**3*g**3*m**3 - d**3*g**3*m**2 + 3*d**3*g**3*m - 2*d**3*g**3*u - d**3*g**3 - 2*d*g*m**2*u + 2*g**3*m**3*u - 9*g wrt m.\nAnswer: 18*d**3*g**3 + 12*g**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 - -179. Let r = 0 - 0. Let v = r - -0.1. Which is the third biggest value? (a) v (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1 + 2*c - 3*c - 2*c + 0*c. Give x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175830, -351659, -527486, -703311, -879134, -1054955?\nAnswer: -1230774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83970 divided by 135.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69747645 is divided by 11624606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 + 0 + 7)) + 20 + -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-12)\/(-4)))\/((-44)\/(-484)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, y: 1}. What is prob of sequence yqq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.36528 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/42591 in 0.1, 244, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddnk when four letters picked without replacement from {n: 2, k: 2, y: 2, d: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, z: 4, c: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -329\nAnswer: 4\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l**3 + 6*l**2 - 110*l - 54. What are the prime factors of v(9)?\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 4 (b) -1.7 (c) -1 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13112 (base 5) to base 10.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + 101330?\nAnswer: 101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1632 = 3*d - 10*t, 3*t = 2*d - 1089. Suppose -29 = 5*m - d. What is the highest common divisor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.296, 2\/7, 5, 7456?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 430978073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -1 + 16. Let c = 1 - u. Suppose -2*p - p = -5*j - 9, -2*p = -c*j - 6. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/3 + 80*w**2 + 85. Let z(u) be the second derivative of x(u). Let p(i) = 16*i. Calculate z(p(b)).\nAnswer: 128*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 290\/(176\/77 - (-2)\/(-7)). Let a = 158 - c. Calculate the remainder when (-2 + 7*-5)\/(-1) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40535 is divided by 719?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -204*r - 111. What is z(-2)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0334 + -263.0334. Let a = 268.043 + -3.733. Let n = l + a. What is n rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -46 + 33 + -4 + 19 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 19422*q**4 + 116460*q**3 - 232872*q**2 + 155232*q.\nAnswer: 3*q*(q - 6468)*(q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 4*x - 211. Let s(c) = 4*c**2 + 10*c + 423. Give -2*s(k) - 5*w(k).\nAnswer: 2*k**2 + 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(147)*-2 + (2*(sqrt(147) + -4))**2.\nAnswer: -140*sqrt(3) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1029*g - 1027*g - 15*g**2 + g**3 - 31 + g**2. Let o be v(14). Which is the nearest to 1? (a) -1\/4 (b) -4 (c) 2\/11 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 + f. Let a(s) be the third derivative of s**6\/30 - 7*s**5\/60 + s**4\/4 - 3*s**2. Give a(u) - 6*v(u).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 16\/15*x**6 - 25*x + 19\/12*x**4 + 0 + 0*x**2 + 0*x**3 + 0*x**5. What is the third derivative of q(y) wrt y?\nAnswer: 768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, r: 15}. Give prob of sequence rl.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*p + 864 - 24 = 578*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1296*p - 8986. Calculate the least common multiple of 118 and a(7).\nAnswer: 5074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:38 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = 4. Let b be (0 - 2) + (-30 - f). Let k = 42 + b. What is the remainder when 25 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23868205\/22 - -1084550. Let a = -365 - l. Find the common denominator of 151\/12 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64604130 - -2?\nAnswer: -64604125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5968363.\nAnswer: 563, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(90) + (sqrt(90) + 6*sqrt(90) + sqrt(90) - sqrt(90))))**2.\nAnswer: 19\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 24894108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:02 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, 3\/2, 1\/2, 13, 95 in descending order.\nAnswer: 198, 95, 13, 3\/2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.2. Suppose -661*s + 7 = -654*s. Which is the closest to s? (a) -0.1 (b) g (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453 + 27 + 28 - 277 - 30*p**2 + 28*p**2.\nAnswer: -2*p**2 - 675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 71, -5, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2894056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2 - (-2 - -4). Suppose 0 = -u*d + 8 - 2. What is the remainder when 11 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41137, 1\/48, 3, -5 in descending order.\nAnswer: 41137, 3, 1\/48, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 54 (b) -1.89 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**3 + 0*b + 18\/5*b**5 + 0*b**2 + 0*b**4 + 24. What is the third derivative of l(f) wrt f?\nAnswer: 432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -13*i + 4*i. Suppose 0 = -i*s + s. Suppose -2*b - 2 = 4, s = 5*w - b + 2. What is the closest to 0 in 5, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99291.\nAnswer: 3, 23, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41242 + 114214?\nAnswer: 42642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3748.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 228727724 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 3*m - 4*m**2 + 16*m**2 + 3*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 - 192. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/(4\/(-6)). Solve -c + 3*n + 4 = s, -12 = 4*c - 2*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 - 6*c**2 - c + 7. Let l be n(2). Suppose 42*f - l = -55. Put 3, 6, f, -19 in increasing order.\nAnswer: -19, f, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055791 plus 19560?\nAnswer: 19559.944209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115671 by 38557.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46935, -93878, -140821, -187764, -234707, -281650?\n\"Answer: -46943*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -210, -284, -408, -594, -854, -1200, -1644?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**3*o**(-6)*((o\/(o*o**(-7)))\/o)\/o*o*o**0 assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 136*j + 35. Suppose 181*z - 175*z - 36 = 0. What is the hundreds digit of h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 5, q: 6}. What is prob of picking 1 u and 2 q?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -547*i**3*m - 5*i**3 - 15*i**2 - 6*i*m - 13085*i wrt i?\nAnswer: -3282*i*m - 30*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1694 + 1559. Let p be 943\/(-5) - 2\/5. Let t = s - p. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6 + 4. Suppose -l*f = -m + 1346, -431 = -m - 5*f + 945. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 500 from -0.14.\nAnswer: -500.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/53 + 133\/1643. Let w = 35\/124 + v. Let g = 1.1 - 0.1. What is the closest to w in 0, g, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4612*g**3 + 4837*g**3 + 754*g**3.\nAnswer: 10203*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7212, 7260, 7308, 7356?\nAnswer: 7404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5027520 and 1099770?\nAnswer: 35192640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5721\/5 + -68657\/60. What is the second smallest value in -3, -0.07, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -d9a8a?\nAnswer: d9a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1241*s - 25. Let m be x(-1). Suppose 109*o - 105*o = m. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15*q - 38. Calculate n(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1960052125 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001201110 (base 3) in base 16?\nAnswer: 1b0cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 45. Put w, 5, -1, 2 in descending order.\nAnswer: 5, 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 121.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/20 - q**4\/2 - q**3\/6 - q**2\/2 + 130*q. What is b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/12 and 17\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 244*d**3 - 4*d + 239*d**3 - 481*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -523620 times 68?\nAnswer: -35606160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -714691022 divided by -933017?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217701 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 + 2)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -344)\/(-1 - -3). Let a = 302 + x. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/n*n**1*(n*n**0)\/n*n**(2\/11) assuming n is positive.\nAnswer: n**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t**2 - 19. Let g(s) = 17*s**2 + 29. Calculate -8*f(k) - 5*g(k).\nAnswer: 3*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - b - 3)*(2 - 2 - 3*b)*(-b**3 + 5*b**3 - 2*b**3).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-910)\/1155*135\/(-12) - 135\/15?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 35 = 5*o, 3*o + 25*l - 26*l - 47 = 0. Calculate the lowest common multiple of 1358 and o.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.40000128 - 5.4. What is g rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6920*y + 16121. What is the hundreds digit of t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*f + 31, 12*h = 10*h - f - 3. Sort h, -4, 14, -7 in decreasing order.\nAnswer: 14, -4, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 2546, 6380, 11920?\nAnswer: 19166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m + 883. Let p(a) = -275*a. Calculate l(p(f)).\nAnswer: -2475*f + 883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 20. Let o = f - 5. Which is smaller: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (-11 + 3) - (-72)\/33. Which is the closest to -0.1? (a) s (b) 0.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let q be (-3)\/(-9) - (-9 + -3). Let v = q - 12. Which is the nearest to v? (a) -1 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose -16 = -p + 2*m - 5, p + g*m + 10 = 0. Solve p = 5*a - 0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 27343 + 27343.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -5*m + 11*m. Suppose -5*l = 4*x - 103, 6*x - x - 4*l - m = 0. Suppose 4*k - 3 - x = -5*p, 4*p = -4*k + 20. Solve k = -8*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**(-3\/4)*p)\/p)\/p))**(2\/25)\/(p**(1\/14)*p*p**(-4\/5)) assuming p is positive.\nAnswer: p**(-9\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 2945*n**3 - 3.\nAnswer: -2945*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59358 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 68580*i + 8780256.\nAnswer: 4*(i + 129)*(i + 17016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) -107\/254 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*h = 1438, -2*h + 940 = -2*u - 4*h. Let c be 2\/(-13) + u\/(-39). Calculate the highest common divisor of 108 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q. Let v(n) = 3*n - 4. Let a(c) = 4*c - 3. Let b(j) = -4*a(j) + 3*v(j). Determine f(b(x)).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j. Solve 4*o + j*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/13 + 4*x**4 - 54*x**3\/13.\nAnswer: 2*x**3*(x - 1)*(x + 27)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1\/6*z**6 + 0*z**5 + 0*z**3 + 0 + 0*z**4 + 2*z + 3\/2*z**2. What is the derivative of y(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 733065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72169 + -72167. Factor 2\/9*a**5 - 22\/9*a**4 + 230\/9*a**q - 400\/9*a - 1000\/9 + 38\/9*a**3.\nAnswer: 2*(a - 5)**3*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -2*m + 10*r + 3537, 0 = -4*m - 5*r + 7095. Calculate the lowest common multiple of m and 15.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*v + 5, -11*v = -d - 20*v - 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*b - 47 = 6*b, -4*y - 36 = 2*b. What is the smallest common multiple of y\/35 - (-51)\/5 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/141 and 107\/470.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(-4)*(-1088)\/18088*(-186)\/184 and -83\/38.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + sqrt(704) + 1 + sqrt(704) + sqrt(704))*-6 + sqrt(704))**2 + 2 + (sqrt(704) + 0)**2 + 1*((sqrt(704)*2 + sqrt(704))**2 - sqrt(704))*-6.\nAnswer: 2256*sqrt(11) + 335142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52131, -51571, -51013, -50457, -49903, -49351, -48801?\nAnswer: -48253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/30 - i**5\/15 + 5*i**4\/6 - 2*i**3 + 16*i**2. What is d in s(d) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907109.6 seconds in microseconds?\nAnswer: 907109600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyrvttrfjfjtvt. What is prob of sequence vftj?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1538*w + 516*w + 510*w + 3*w**3 + 512*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = j - 3*j + 2*i, j - 52 = 4*i. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 1. Let m(v) = -v**2 + 5*v + 5. Give m(l) - 5*u(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {z: 1, f: 1, p: 4, k: 1, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-24)*-2*(-2)\/(-14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*5\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = -150*y + 57 - 5097 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 5*f + 5, 40*l - 42*l + 3*f + 0*f - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 25 = 17*j. Sort j, 5, 0 in descending order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 69394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 8*l - 6234. Suppose 5*x = 161 + l. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11984 divided by 2996?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxaxxxxoaxxxx. What is prob of picking 2 x?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.2 (c) 0.08342 (d) 3\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {m: 1, c: 18}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*a**3)*(-21 - 60 - 36 + 2*a) to the form c*a**2 + j*a + h*a**4 + y*a**3 + f and give y.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 13630*o + 217568.\nAnswer: 2*(o - 6799)*(o - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6*r - w = -2, -1 = -5*r + 2*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -31, 882, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*p - 6*p + 14, -2*p + 12 = 2*w. Let i = 68 + w. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187287361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7\/3)\/(((w**6*w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 2*w)*(4*w**2 + 2*w**2 + 3*w**2 + (-3 - 2*w + 3)*(0*w + 2*w + w)).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 2\/257, 1, 0.4, 0.2, 5 in ascending order.\nAnswer: 2\/257, 0.2, 0.4, 1, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llpitlliltl. What is prob of sequence pltl?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k + 52. Let v be r(-4). Suppose y = -3*y - 8, 4*d - 6636 = v*y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028217*v = 1028166*v + 3009 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 0.4, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-46)\/(-4))\/(1\/((-24)\/(-4))). What is the highest common factor of 46 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -62003275.\nAnswer: -4\/62003275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14307801 (base 10) to base 16.\nAnswer: da51d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 76?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q**2 + q**2 - 5*q**2)*(5838426*q**2 - 2*q + 2*q - 5815817*q**2).\nAnswer: 90436*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.164269 times -0.1\nAnswer: -0.0164269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 4. Let o be 1 - -206 - (-16 + 15) - -4. Let s = o + -208. Calculate the highest common factor of j and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 8*h + 4. What is s(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/(-33) - 0 - (-31)\/(-62)*-4. Find x, given that 1\/11*x**2 + 729\/11 + d*x = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, 34682, 5 in decreasing order.\nAnswer: 34682, 13, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(20\/60 - (-6)\/(-20)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 268 - 287. Let h be (-30)\/(-9)*(-22 - -4). Let n = h - -41. Is n greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 + 42\/(-14). Let i(z) = -z**2 - 4*z - 1. Let t be i(-4). Put t, -2, p in increasing order.\nAnswer: p, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811749.\nAnswer: 3, 270583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -4*y + o, -2*o + 1 = -3*o. Suppose b + 9 = -3*g + 53, -5*g + 3*b = -y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*n = 20, 2*n = -4*o + 3*n. Which is bigger: -3\/287 or o?\nAnswer: -3\/287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/((x\/(x*(x\/x**4)\/x))\/x)))\/x)**16\/(((x\/x**18)\/x)\/(x**(-16)\/x)) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Suppose -12 = -3*z - 5*l, 10 = -4*z + 3*l - l. Let g(w) = w - 1. Give z*d(r) - g(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.77243 weeks in microseconds?\nAnswer: 21030365664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((182\/48)\/7)\/(838\/5028).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 127 = 47. Suppose -3230004 = l - j*i, -l + 0*i - 4*i = 3229996. What is l rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68.8 - 45.53. Let c = 438.13 + n. Round c to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*t**3 + 41*t**2 - 6280 wrt t.\nAnswer: 153*t**2 + 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1420\/1454887?\nAnswer: -1420\/1454887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17566, -70323, -158262, -281383, -439686?\n\"Answer: -17591*n**2 + 16*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 78, 100, 130, 168, 214, 268?\n\"Answer: 4*k**2 + 2*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-425)\/51)\/((-111)\/9). Let f = 5087\/7474 - g. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6882200*b**2 + 4900706*b wrt b.\nAnswer: -13764400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let q(c) = -c**2 - 6*c + 1. Let s(r) = r - 1. Let u(m) = -q(m) - 3*s(m). Let d be u(-4). Solve -d = -3*n, -n = 5*z + a*n - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 11. Which is the nearest to 0.1? (a) 5 (b) f (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(36)*-5)\/sqrt(4))\/(((sqrt(15) + sqrt(30)\/sqrt(2))*5)\/(sqrt(45)*-1)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -42861700 != -42861705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.78 + 45.48. Let j = d + -39. What is the second smallest value in j, 5, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4 = 2*l - u, 0 = -4*l + 5*u + 44. Factor l*z**3 - 8*z**2 - 2*z**3 + 4*z**4 - 74*z + 74*z.\nAnswer: 4*z**2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = -5*l + 11*u + 40, -l + 2*u - 4 = 0. Which is the closest to -9? (a) l (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265.07 times -0.4\nAnswer: 106.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*j = -419*j + 5. Let d(v) = -152*v - 7. Let y(k) = 3*k + 1. Let z(s) = j*y(s) - d(s). Differentiate z(b) wrt b.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853566773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppskdapdsdpp. What is prob of picking 2 d and 1 a?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from kptprpc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/((c**(1\/2)*c)\/c*c))*c\/c**(-3\/5))\/((c**1*c)\/(c\/(c**(-1)\/c))) assuming c is positive.\nAnswer: c**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (836100\/(-9290))\/((-10)\/3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-383 + 450 - 5*x + 12*x)*(3 + 1 - 3)*(2 - 1 + 0).\nAnswer: -7*x - 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385222 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -67\/32 (b) -0.3 (c) 0.5 (d) -3 (e) 0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 23*m**2 - 50*m**2 + 12*m**2 + 1. Calculate h(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6494648477.\nAnswer: 58237, 111521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y**2 - 1. Suppose -22*w - 8 = -24*w. What is the remainder when a(1) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04199807 + 0.042. What is d rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -4*l, -4*h + 0*l = -5*l + 1. Let v be 2\/(-564)*272\/(-136). Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1\/2, 0.07, -1 in increasing order.\nAnswer: -21, -1, -1\/2, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 + 0.03. Let i be 2\/8 + 11\/4. Suppose -i*r + 4*x + 2 = 7, -4*r = 4*x - 12. Which is the nearest to 0? (a) r (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7) + (sqrt(7) - sqrt(21)\/(sqrt(12)\/sqrt(4)))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/((-18900)\/80)*(-10)\/(-16).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 36 = 18. Suppose -2*y + j*y - 29 = 3*s, 3*s + 9 = 0. Solve -5*z - 2 = -4*r, 19 = y*z + 2*r + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544298 to the power of 1\/2, to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1083295468.14 and -4.\nAnswer: -1083295472.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*v - 61 = 983, -3*g = 4*v - 3145. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + (-1 - 7) + 1 + -29\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + 1.39. Let p = h + -1.19. Let k = 2.1859 - 0.1859. Which is the third biggest value? (a) k (b) p (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 68?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2401 - 2401.001412. Round x to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 61. Let j be o(-12). What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-5 + 2 + 0 + 5 + 0 - 4 + 7 + 3 - 2 + (3 - 4 + 3)*(-3 + 4 + 3))*(4*g**2 - 5*g**2 - g**2).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/189 and 161\/1716.\nAnswer: 108108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 bigger than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 11) to base 9.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuurururruru. What is prob of picking 2 r and 1 u?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -37*m. Let j(i) = 103*i**2. Determine j(n(c)).\nAnswer: 141007*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -48. Let z = 19 + p. Let c be 3\/(-1 - -4 - 2). Solve z = -c*j - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = -2*k - 10, 14 = -3*k - w. Suppose -1 = -r + 1. Let v(c) = 2 + r - 3 + c. Calculate v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.6427185 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 times 271.6?\nAnswer: -17.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:27 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2460358266819 from -0.85.\nAnswer: -2460358266819.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-12))\/((o**(2\/31)\/o)\/o))**(-6\/7))**(3\/34))**(-29) assuming o is positive.\nAnswer: o**(-73341\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 - u**2 + 4*u**2)*(2 - 4 + 4 + 2 + 4 - 2 - 1 + 0 + 3 + (-3 + 1 + 4)*(-1 + 2 + 1))*(u - 3*u + 0*u).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 17, 43, 87, 155, 253?\n\"Answer: d**3 + 7*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109*(-10)\/2040*(-2)\/(5\/5) and -145\/882.\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*x + 2*r - 16, r + 12 = x. Let p = x - 7. Suppose 2*i + 27 = 5*b - 2*i, i + 3 = p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -164. Let g be 13 - 12\/2 - 9. Is g greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 50 + -52 + (25 - -2) - 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 9.2.\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*s**2 + (-4*s + 2*s + s)*(-1 + 1 + 2*s) + 0*s**2 + 0*s**2 - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 3*a + 4. Let u = -14 - -12. Let z be -1 + -8 + 4 - u. Determine k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -31. Let t be (-6)\/n*(5 - 1). Let k be t - ((2 - -1) + -51). Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdok when four letters picked without replacement from {d: 7, o: 6, z: 4, g: 1, k: 2}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:39 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3283 and 43708?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-260)*120 - 62\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 373359410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/517842 and 1\/39?\nAnswer: 517842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/11 - 3990*g\/11 + 27832\/11 = 0. What is g?\nAnswer: 7, 1988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208 and 30048?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2392 + -294218\/123. Suppose -2*w = 5*h - 23, h - 4*h = -w - 16. Is y less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25506729.\nAnswer: 3, 163, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 54*x + 160*x + 145*x.\nAnswer: 359*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -4)*(3 - 4). Let r(n) = n**3 - 2*n**2 - n - 2. Let a be r(2). Sort a, h, 2 in ascending order.\nAnswer: a, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320 (base 5) to base 15\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-6 - -4) - -7. Suppose 2*g - 4*r - 325 = -3*g, 3*r = v*g - 259. Suppose -w - g = -2*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-12) - 4\/3. Suppose 3*g - 11 = 4*i + 19, 4 = -2*i - 4*g. Let w be 2\/(n + (-20)\/i). Which is the third biggest value? (a) w (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1786*f = 1789*f - 18. Solve 3*p - 6 = p + u, p = 5*u - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n*o**4*y - 46*n*o**4 + 1141*n*o**2 + 3*n*o*y wrt o?\nAnswer: -216*n*o*y - 1104*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 514555?\nAnswer: 1\/514555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 5*v. Let q be l(4). Let y be 2\/(-4) + 2\/q. Solve 0 = -4*w + d - 16, y*w + 5*d - 20 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22211011 (base 3) to base 13\nAnswer: 2c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 1:32 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122426 and 1640.\nAnswer: 2448520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 73866 - -5.760663\nAnswer: 73871.760663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 5*u + 385 = 0, 0 = -20032*q + 20027*q + 3*u + 135 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {d: 6, i: 4, u: 7, k: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*q + 12, -4*d = q + 16 - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1762)\/58146)\/(1\/((-4)\/(8\/18))).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 + -274. Let l(k) = -2*k**2 + k + 1. Let v(n) = -65*n**2 + n - 91. Let z(h) = f*v(h) + 3*l(h). Differentiate z(i) wrt i.\nAnswer: 118*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22754, 45525, 68296, 91067, 113838, 136609?\nAnswer: 159380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27836068, 55672120, 83508172?\nAnswer: 111344224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -3*v**4\/28 - 6*v**3\/7 + 270*v**2\/7 + 600*v - 1241. What is t in a(t) = 0?\nAnswer: -10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dhhddhd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5006, -4753, -4500, -4247?\nAnswer: -3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 2:11 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 12 = 0. Suppose 0 = -p - n + 23. Calculate the highest common factor of p and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10213 by -8350.\nAnswer: -10213\/8350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 88 = 37*f, 1503745 - 1503787 = -2*k + 3*f for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -1787?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 20364805.\nAnswer: 61094415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2233 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 102*j + 105.\nAnswer: -3*(j - 1)*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(19) - sqrt(19)) + sqrt(19) + sqrt(19))**2 + 3 - sqrt(76)\/(sqrt(324)\/sqrt(9)).\nAnswer: -sqrt(19)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 746622253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.01 - 14. What is p rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 4*v**2 - 4*v - 1. Calculate l(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11280 - 11279. Suppose -5 = -2*u - 3*k - 3, -6 = u + 5*k. Let d = -0.1 - 0. Which is the smallest value? (a) d (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41084 and 692882.838.\nAnswer: 651798.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/60 + 7*z**4\/24 - z**3 + 4*z**2. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 2*x - 3. Let y be s(5). What is the second derivative of 7*b + 8*b**2 + 62 - y wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/12 - 2*j**2. Suppose -11 = -3*b - 5. Let q(m) = 3*m**2 - 5*m**2 - 4*m**b. What is q(o(z))?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 4:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.4 + -27. Which is the nearest to -1? (a) -2 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 23*h + 85. Calculate the remainder when 73 is divided by u(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 82*v - 132. Let q be y(-22). Let k = 0 + -2. Suppose h - 2*h = -1. Which is the closest to h? (a) k (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-4)\/(40\/31). Let n = k - 12. Let a = -6 + 7. Are n and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2766217 - -2?\nAnswer: 2766220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13605*s*v**3 + s*v - 87*v**3 + 4867366*v**2 wrt v?\nAnswer: 81630*s - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 2772 = 6*k + 2688 - 5860 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 995932979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -122254?\nAnswer: -122252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 minutes after 2:01 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*a + 2*a. Let m be 16\/a*(-4)\/((-64)\/(-1020)). Suppose 4*o - 57 + 263 = 5*q, 2*o = -4*q + m. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 7, k: 1, a: 3}. Give prob of picking 2 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5334 in 5, 0.5, -45774?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1075 + 1070. Sort -3\/7, -1\/5, v, -2\/5 in descending order.\nAnswer: -1\/5, -2\/5, -3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:41 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**7\/14 + f**5\/20 - 13*f**2. Find the third derivative of k(z) wrt z.\nAnswer: -360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:10 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111101101101011110 (base 2) in base 14?\nAnswer: -25c370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/14 and 0\/2 + (8\/(-41))\/((-73)\/365)?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*q - 64 = 0, 123 = -0*w + 3*w - 3*q. Suppose 36*l = w*l. Suppose -j - 8 + 1 = l. Is j <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 64*g**2. Let w(o) = 2*o**2 - 1042*o + 1042*o. Give l(w(i)).\nAnswer: 256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(3 + 3 - 4)*(0*s - 2*s + 10*s)*(1 - 1 - 2*s) to m*s**2 + q + w*s and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from odododjjddoodjojd.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -199 (b) -2 (c) 4 (d) -3 (e) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1237 is divided by 207?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m*m\/(m*m**(-3\/7)))\/m*m**2*m**(-12)*m*m**(2\/29) assuming m is positive.\nAnswer: m**(-1320\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7358833l in millilitres?\nAnswer: 735.8833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3948 (b) -3 (c) -91\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 2:06 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 - 48 = h + 3*o, h + 2*o = -227. Let t = 467 + h. Let z be -3 - (t\/(-84) + 0). What is the closest to 1 in -4, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69993\/(-1515)*(-5)\/7\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-24)*(-3 + 3). Suppose s = -15*h + 4*h. Sort 4, h, 2, -4.\nAnswer: -4, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, f: 2, p: 3, x: 4, i: 2, h: 2}. What is prob of sequence hfsp?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86103012 by -7175251.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = 20*p + 833. Solve -10*y = -17*y + p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11 = s, -2*f + 14 - 40 = 2*s. Let n(w) = w**3 + 12*w**2 - 3*w + 21. Is n(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 13 - (-11 - ((-16 - 54) + 17)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(-4 - (-8 - -3))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1420*o**3 - 2837*o**3 + 4 - 4 + 1414*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100) + 0)*-3.\nAnswer: -30*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*p + t, -8 = -14*p + 13*p + 5*t. Solve -11*y - p = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*m - 14, -2*m = -0*m. Let x be (-152)\/(-12)*3*u. Let z = x + -124. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + v - v - 2)*(-1200 - 1345 + 431 + 105) to the form l*v + z and give l.\nAnswer: 4018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 4\/(32\/(-40))) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/150*4)\/(4\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109168503.\nAnswer: 3, 36389501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4 + 4)*(-2*c + 2*c**2 - 11*c**2 + 0*c).\nAnswer: -18*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-25)\/(-66))*(-14)\/4*475\/665?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 5*p**4\/3 + 235*p**3\/6 - 11907*p**2. Calculate w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329 divided by 159974.\nAnswer: -329\/159974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 4*x + 5. Let w be p(0). Let c(b) = 11*b - 6. Let f(q) = -7*q + 4. Calculate w*c(s) + 8*f(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160873*m**3 - 322696*m**3 + 161824*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462 - 779 - 113)*(3 - 1 - 4)*(-2 + 0 - 1)*(-5 + g + 5).\nAnswer: -8124*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*c + 2*c. Suppose 0 = -3*r - 12, -3*r - 12 = 3*q + 18. Let z = c + q. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 211?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i + 0*i - 4*i + 2*i - 1 + 1 + (-1 + 0 + 2)*(2 - 3*i - 2) + 4*i - 4*i - i - 3*i + 2*i + 2*i + (i - 6*i + i)*(0 - 4 + 2) + 10 - 10 + 5*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9534, 19069, 28604, 38139?\n\"Answer: 9535*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 - ((14 - 8) + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2704, -10884, -24530, -43648, -68244?\n\"Answer: -w**3 - 2727*w**2 + 8*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10170 divide 3030659549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26451918*q**2 - 2*q + 10002476 wrt q?\nAnswer: -52903836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -427*w**3 + w**2 + 1 - 2*w - 10*w + 14*w. Let q be x(-1). Suppose 2*l + k - 423 = 0, -q = -0*l - 2*l - 5*k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 40 = -0*g. Let h = g - 7. Is h at least 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -13, 1\/5, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d. Let o(b) = -10*b**2 - 1026230*b. Give o(l(m)).\nAnswer: -160*m**2 + 4104920*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2304*w + 20 + 771*w + 779*w + 772*w to t + a*w and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let p(s) = -82477*s**2 - 2*s + 4. Calculate p(v(l)).\nAnswer: -329908*l**4 - 4*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1. Let j(x) = x - 6. Let f(y) = j(y) - 6*v(y). Let h(l) = -3 + 3 + 13*l. Determine f(h(o)).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 88.1. Let c = 7.3 + s. Let w = 0.5296 + c. What is w rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1. Let d = 0 - f. Let o = -405 + 404.5. What is the nearest to 0 in o, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -355*t + 213. Let h(m) = m - 1. Let r(x) = -213*h(x) - z(x). Let b(q) = 26*q. Let y(c) = 35*c. Let w(a) = -4*b(a) + 3*y(a). Give r(w(i)).\nAnswer: 142*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 56*x**3 + 174*x**3 - 195*x + 195*x as t*x**2 + l*x + i + n*x**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-6*f**2 + 9*f**2 + 9*f**2)*(0*f**2 + 3*f**2 - 2*f**2)*((-4*f + 5*f + 0*f)*(0 + 2 - 1) - 4 + 4 - 2*f).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/24 - 5*v**5\/4 - 35*v**4\/12 + 16*v**2. Solve i(x) = 0 for x.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 2*d - 1. Suppose -3 = -2*w - 3*p + 1, 0 = 3*w + 3*p - 3. Let f(s) = -s**2. Let m(o) = w*z(o) - 4*f(o). Let m(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffmfzmmmddzffzzd. What is prob of sequence zzf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 - 20. Round r to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-40)*4\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3162, 2 in ascending order.\nAnswer: 2, 6, 3162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4137003 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 23*t + 60 = 0. Solve a + 9 = t*g - 2*a, -g - 4*a = 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 817.534 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -551, -51.\nAnswer: -551, -51, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, n: 3, k: 3, s: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-20 + (-15 - (6 - 42)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 2*t = 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23007000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 4*l + 6*b, -l + 13 = -3*b. Suppose l*j - 6*h - 8 = -2*h, 5*j = -h + 34. Let y be 51\/(-15) + j\/15. Sort 6, 2, y in ascending order.\nAnswer: y, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 10) to base 12\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*i**4 + i**4 - 14*i**4 + (0*i**4 + 3*i**4 - i**4)*(0 + 2 + 0) - 2*i**4 - 4*i**4 + 4*i**4 + (-1 + 1 + i)*(-2*i**3 - i**2 + i**2).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**8\/84 + x**4\/12 - 8*x**2. Find the second derivative of o(p) wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 5*z**4 - 5*z**4)*((1 - 3 + 1)*(-6 + 4 - 1) + 2 + 1 + 0).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -7.09.\nAnswer: -28.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 - -829\/5. Let g be (15\/2)\/(11\/33). Let n = g + -64\/3. Calculate the common denominator of n and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 - 150*n**4 + 5369*n**3 - 53808*n**2 - 59328*n = 0. Calculate n.\nAnswer: -1, 0, 24, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2\/4 - 795322*y - 530215 = 0 for y.\nAnswer: -2\/3, 1060430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1302 and 141533476.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 + 7*k**4\/4 - k**3\/2 - 23*k**2\/2 + 65*k\/4 - 25\/4.\nAnswer: (k - 1)**3*(k + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*v**2 + 125*v**2 - v**3 - 294*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/7 + 648*r**4\/7 + 19262*r**3\/7 - 1596044*r**2 - 102588360*r - 1119571600 = 0. Calculate r.\nAnswer: -70, -14, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 7*d - 7. What is b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -93.84 and -416.95?\nAnswer: 323.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1746 divided by -1746.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -24*h**3 + 11*h**2 + 5*h - 352. Let j(t) = 36*t**3 - 16*t**2 - 7*t + 529. Let a(s) = -5*j(s) - 7*m(s). Differentiate a(k) wrt k.\nAnswer: -36*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*s - 40*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -99 and -0.085?\nAnswer: 8.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 22. Suppose -60 = -4*n + 4. Calculate the greatest common divisor of n and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 1.9. What is the nearest to -0.1 in m, 3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12936 divided by -11.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**4 - 20120*t**3 - 9*t**2 - t + 5 wrt t.\nAnswer: -24*t - 120720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1850, -3343, -4950, -6671?\n\"Answer: -57*k**2 - 1322*k - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca307a (base 14) in base 4?\nAnswer: -122013132310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.549865 to three dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 9*j - 15\/4*j**4 - 2\/3*j**6 - 5\/6*j**3 - 11\/4*j**5 + 5\/2*j**2 + 0. Factor g(l).\nAnswer: -5*(l + 1)**3*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46874 equal to -93747\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:32 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 2 = 0. Let b(d) = 2 - a + 3*d - d. Let u(n) = -2*n**2. Determine b(u(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2502*v + 195153. What is x(78)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262715 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 2*l - 14*l + 11*l)*(-2379 - 2201 + 4196) to the form r*l + a and give r.\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -207674?\nAnswer: -207703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127908 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7143, 7144, 7145, 7146, 7147?\nAnswer: 7148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 158*r**2 - 327*r**2 + 169*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628920*r + 437 = 628939*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/120 + z**5\/60 - z**4\/24 - z**3\/6 - 2*z**2. Let n be -6*(3 + (-8)\/3). Give c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -157*l - 45. What is the tens digit of v(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 3:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33478 - 1243 = -1167*r - 1608 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from spxtxddtxmddxddtxx.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrmrvwy. Give prob of picking 1 r and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddbbddddgdgdgddddd. Give prob of sequence gbgb.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 235304332?\nAnswer: 235304332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -222192707 - -222231446.99944. Let g = -38745 + i. Let h = 5 + g. Round h to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-1 - 5) + (1 - 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31851\/4 - -7959. Find the common denominator of d and 13\/3152.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/359414?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 202200?\nAnswer: 202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3450*z**2 + 299*z + 598. Let h(w) = -69*w**2 - 6*w - 12. Let k(u) = 6*d(u) + 299*h(u). Let m(f) = -10*f. Give m(k(j)).\nAnswer: -690*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {y: 2, i: 1, h: 3, p: 4, z: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -87*w + 21. Let h(m) = 4210*m. Give o(h(u)).\nAnswer: -366270*u + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04506 + -0.097846540626?\nAnswer: -0.142906540626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*l + 1 + 3, -2*f - 2*l - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -45\/18431, -11, -1\/3 in decreasing order.\nAnswer: -45\/18431, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 1. Let y(r) = r + 23. Suppose -3*k + 9*k = -144. Let h be y(k). Let o(f) = -2*f**2 - 2. What is h*o(b) + x(b)?\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 304\/(-38) - (2 - 6). Which is the third biggest value? (a) 4 (b) -3 (c) u (d) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*z = -87*z + 4. Suppose 6*d - 32 = -z. Calculate the lowest common multiple of d and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.00778 (b) 2\/19 (c) 328\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30876 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173513799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 2*g - 3*g + 10*g + 3*g - 2*g + (-2 - 2 + 1)*(-3*g + 3*g - g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73204397 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -12eb2?\nAnswer: 12eb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63248)\/(-252992) + (-2 - (-2294)\/1150)\/(4\/205).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107920*i = 107921*i - 18*p + 28, -4*p + 51 = -5*i - 3*p for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6*w*w*w*w**(-2\/27)*w*((w\/(w\/(w*w*w*(w*w**(4\/3))\/w)))\/w)\/w*w*w*(w\/(w\/(w*w*(w\/(w*(w**(6\/11)*w)\/w)*w)\/w*w*w)))\/w*w assuming w is positive.\nAnswer: w**(5261\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/(130\/65)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 40*c**2 - 2*c + 1. Let t be g(-2). Suppose 5*s = 2*b + t, 135 = -0*s + 4*s - b. Solve -4*a - 7*r + s = -2*r, -3*a = r - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22327242 and 294.\nAnswer: 22327242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-7)\/b)\/b*b)\/(b*b**(-3)))\/((b*b*b\/(b\/(b**(-4)\/b)*b))\/((b\/(b*b**(-2)))\/b)) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:36 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189.5 + -190. Let f be (-3)\/(-18)*(-9)\/(-2). Let r = f + -1\/4. What is the biggest value in -3, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + q - 5*q - 3*q**3 - 2*q**2 in the form g*q**3 + v*q**2 + w*q + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*((5*(2 + sqrt(612) - sqrt(612)) + sqrt(612))*-2*-6)**2*-6.\nAnswer: 414720*sqrt(17) + 2460672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2.5 (c) 0.2 (d) 1 (e) 1659 (f) -1 (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 259*q**2 + 14988*q + 24156. Calculate p(170).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128087135719.4 + -0.151.\nAnswer: -128087135719.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76\/3 or -1\/78?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-20*(-6)\/24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(-3*u + 6 - 6) - 1785*u - 1286*u - 77*u - 1272*u - 2626*u + 0*u + 3*u - u to the form w*u + f and give w.\nAnswer: -7035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004211 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4190890, 8381778, 12572666?\nAnswer: 16763554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*((1*sqrt(8) + 3 - sqrt(24)\/(sqrt(3)*-1))**2 + (sqrt(48)\/(sqrt(24)\/sqrt(4)) + 3)**2).\nAnswer: 72*sqrt(2) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) - (-6)\/9. Let j be -2*(-1 + (-2)\/(-4)). Suppose 6 = -q + 1. What is the nearest to j in 0, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 + 1770\/(-441))\/(-8 - 682\/(-99)) and -64\/1085.\nAnswer: 7595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*j - j**2 - 90*j - 93*j - 88*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/24 + 84*j**2. Let z(l) = l**2 - 47*l. Calculate z(d(y)).\nAnswer: y**2 - 47*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 0*w**2 - 2*w**2 + 2 - 3*w + 4*w**3. Suppose 115*c - 121*c + 18 = 0. What is the remainder when 114 is divided by y(c)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19434 and -0.67.\nAnswer: -0.1302078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 15 (b) -2\/9 (c) 4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9*6\/36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7790 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/17884 and -113\/2630?\nAnswer: 89420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 633200.7ms?\nAnswer: 633.2007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 5*l - 10. Let b be v(-7). Let q be (-4)\/16 - (-201)\/b. Let m = q - 36. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 - -878. Suppose -7 = 3*z - 5*l - 12, 3*z - 3 = 3*l. Suppose d - h + 71 = z. Calculate the highest common divisor of d and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 7*a**2 - a + 12. Let b(v) = v + 1. Let g(y) = b(y) + f(y). Let j(o) = 2*o**3 - 5*o**2 + 9. Calculate 5*g(m) - 7*j(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.56637 grams in micrograms?\nAnswer: 54566370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 13. Let x(c) = -c**2 - 32*c - 186. Let g(m) = -7*m**2 - 9*m - 10. Let a be g(-1). Let h be x(a). Give f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = 5*c - 3, 0 = 3*r + 5*c + 7. Let x be 1\/(((-11)\/44)\/(5\/r)). Solve -k + 0 = x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 5*t - 8. Suppose 6*w - 133 = -13*w. Let r be y(w). Let d = 4 + -1. What is the highest common divisor of d and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g - 603 - 142 = 455 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24896 is divided by 23090.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78977\/6*(-25)\/(-15). Let s = -21944 + l. What is the common denominator of s and 125\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(297)\/sqrt(9)*-4)\/(sqrt(6)\/(sqrt(4)\/(sqrt(6)\/sqrt(3))))*-6*4.\nAnswer: -480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbwbjbwkwkbk. Give prob of sequence bk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -64. Which is smaller: d or -15\/14?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-x + x - 2*x**2) + (2*x + 0*x - 4*x)*(4*x - x - 5*x) + 2 - 2 + x**2 - 2*x**2 - 6*x**2 + 2*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4457*b + 2544 - 2544.\nAnswer: -4457*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-3 + 2) - 1. Let u(r) be the third derivative of 7*r**2 - 1\/6*r**3 + 0*r + 1\/60*r**5 + 0 + 1\/24*r**4. What is u(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 + 108 = t + 4*k, -5*k + 2720 = 5*t. Let j(h) = 165*h**2 + 3. Let d be j(2). Let o = d + t. Round o to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/36)\/7*24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3\/(-8)*374\/(-51)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*m*w - 16*m + 37*w + 89 wrt w.\nAnswer: 20*m + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246368741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/7)\/x)\/x)\/x*x)**34*(x**1)**(1\/5))\/(x**8*(x**6*x)\/x*(x\/x**1)\/(x\/(x*x**(1\/8)))) assuming x is positive.\nAnswer: x**(-25659\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698049.\nAnswer: 3, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 - 34*n**4 + 76*n**3 + 1012*n**2 - 3150*n - 4050 = 0. What is n?\nAnswer: -5, -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + (0 - 1))\/(-1). Let z(f) = -10 + 2*f**2 + f**a + 3 + 6. Is 9 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/26))**(-1\/80) assuming p is positive.\nAnswer: p**(1\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + 2. Let h(l) = -l - 6. Let s be h(-8). Suppose -c*t = 5*b - 56 + s, -4*t = b. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -y + 141, 3*y - 3*l - 436 - 35 = 0. Suppose -124 = -5*i + y. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let k(r) be the third derivative of r**5\/12 + 4*r**2. What is k(s(y))?\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 85. Which is the nearest to -0.8? (a) x (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2 - 10818*o + 9752427 = 0.\nAnswer: 1803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*b - 36, 631*r + 2*b - 24 = 630*r. Solve r*g = 29 - 43 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.575329568 rounded to 3 decimal places?\nAnswer: 3.575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 904497 * -0.5\nAnswer: -452248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -3, 0.8, -128\/3 in ascending order.\nAnswer: -128\/3, -3, 0.17, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**4\/4 - 2*a**3\/3 - 2*a**2. Suppose -2*h = -4*n + 24, 20 = 2*n - 5*h - 8. Let d(m) = 5*m + 3. What is n*b(x) + 5*d(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {i: 1, s: 2, n: 4, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*k = -515*k + 121 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 42*o**3 + 5*o - 5. Let f be d(2). Let g = f + -197. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 83434. Let k(g) = g. What is c(k(b))?\nAnswer: 5*b - 83434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a2 + b?\nAnswer: 15b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 118. Let h = -45 - n. Let m be h\/((-26)\/(-12000))*-90. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 389674512 and 66.\nAnswer: 4286419632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = a + 72, a + 3*o + 75 = 0. Let y be (-1)\/(a\/(-352)) - -4. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12974, -25877, -38778, -51677, -64574, -77469?\n\"Answer: c**2 - 12906*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*u - 30 = 0, 11*f = 5*f + 3*u + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -20. Let r be o*(1 + -3 - -1). Put -5, r, 5 in increasing order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(-40)\/35*(-1 + 6\/4). Solve 3*z - f*g = -0*z + 6, -2 = -z - 5*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((3 - 8) + 3). Solve v + 3 = -b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 + 22\/6. Suppose -7*h + 131 = -2*h + z*q, 5*h + q - 119 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10 - 0. Let p be (l\/(-3))\/(5\/(-120)). Let b be (-3)\/(-2)*p\/24. Is b != -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66569913 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.23 (c) -23 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -50, 3 in decreasing order.\nAnswer: 3, -40, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1833*p**2 - 235*p + 235. Let u be 7\/(-4)*4*6\/(-7). Let b(m) = -47*m**2 - 6*m + 6. Determine u*y(v) - 235*b(v).\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*m - 912 = -25*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 - 17998*w**4 + 1028673924*w**3\/5 - 367427947132*w**2\/5 - 1028673926*w\/5 + 367428037122\/5 = 0. Calculate w.\nAnswer: -1, 1, 369, 22313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -328, -339?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -149, -145, -141?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/4*((-40)\/(-7))\/(-20). Let i be 2 + 3\/(6\/16). Suppose 0*q = -2*g - 4*q + 90, y*q = -i. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkbkkkkkbkk. What is prob of picking 2 k and 1 b?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55383*203.\nAnswer: 11242749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 20 - 2. Is (27\/(-6))\/9 + (-2795)\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26156287459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -1\/2, -0.3, 0.037, -9?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 = v. What are the prime factors of 4\/v + (-3688)\/(-72)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 37. Suppose -2*u - n = -6*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7584359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881754 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 + 6*t**3 + 9*t**2 - 24*t + 12 = 0. Calculate t.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from hkkiig.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3115011 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (-3*-2*((sqrt(612)*3 - sqrt(612)) + -5 + -4) + -5)**2).\nAnswer: -458025 + 42480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 2002322?\nAnswer: -2003031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 45. Suppose 5*v = -u*v + 10668. Let s = 2197 - v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 2 - (0 + 10)*-127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - (-11)\/(-15). Suppose 2*a + a - 9 = 0. Suppose 2*f - 3 = -3*b, -a*b - f - 3*f + 3 = 0. Is b bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61436, 122544, 183646, 244742?\n\"Answer: -3*o**2 + 61117*o + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 10, s: 1, g: 3, j: 3, x: 1, i: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5337*s**2 + 2*s - 2*s**3 - 3*s**4 - 5339*s**2 - 3*s**4 + s**3 to p*s + n*s**2 + f*s**4 + t*s**3 + r and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b. Let n be a(2). Suppose -f = -3*f - v - 12, f = 3*v - 6. Let u = n + f. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 610 + 150. Let j = w - 760.5. Which is the second biggest value? (a) j (b) -19 (c) -2\/15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24838 at least -24852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 - 2*z - 12. Let d be 0\/(-2) - (11 - 9 - 11). Give v(d).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g - 3. Let t(d) = 24*d + 10. Calculate 20*o(j) + 6*t(j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -10. Let c(a) = -6*a + 6. Let x be c(k). Let u be (-16)\/(-15) + 4*(-3)\/x. What is the closest to u in -2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 11 + 4. Let n(v) = -d + 10*v - 3 + 3. Let r be n(2). Solve 2*b = 6*a - a - r, -3*a + b = -11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z + 0*z**2 + z**2 + 3*z - z**2 - 6 + z**2 as t + m*z + y*z**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 6245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 143 = -5*o - 53, 10*o = 4*j + 160 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12810417482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3*r + 8. Let t(o) = -o + 1. Let c(g) = -j(g) + 4*t(g). What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50439424 or 50439423?\nAnswer: 50439423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(403\/(-494))*(-20)\/(-20)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:26 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9)**(-41) assuming q is positive.\nAnswer: q**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 10.2603199.\nAnswer: 10.3203199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -245.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -117\nAnswer: -50\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w, 2*w = 4*z - 2*w - 28. Suppose z = 11*t - 14*t. Let s(c) = -c. Let k(f) = 3*f. What is t*k(b) - 5*s(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**(-2\/21)*t)\/t))*t)**(2\/11)\/(t**(-1\/7)\/t)**(6\/13))**27 assuming t is positive.\nAnswer: t**(18702\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32508720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - -2. Let k = o - 193\/7. Which is the closest to -0.2? (a) -4\/3 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51460*a + 51460*a + 5285*a**2)*((1 + 1 + 0)*(1 - 1 + 2) + 1 + 1 + 0 + 2 + 2 - 3 + 1 + 0 + 2).\nAnswer: 52850*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 128. Determine p(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 1 + 13. Suppose o*d - 54 - 45 = 0. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = 8. Let m = 65 + z. Suppose -m = -3*j + l, -35 = -4*j + 3*j + 4*l. Solve 0 = 5*v - j - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 173 + 117?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/168)\/5)\/(9\/(-54)*30\/4)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37719 - -37392.82. Round d to the nearest integer.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/6*(-105)\/14. What is the highest common factor of 22 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(((-2)\/14)\/((-13)\/91)). Solve -2*g + 4*o = 22, -o + k = -g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49169, -49152, -49135, -49118, -49101?\n\"Answer: 17*u - 49186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/56)\/((-4)\/14). Solve v + s + 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*c = -9, 0 = -2*c + 2 - 10. Let h be 479*1 + -3 + 2. Let i = h + n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*c + 16, 0 = 46*f - 48*f - 8*c + 32 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-56)\/(-12))*(-336)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 22*u**2 - 18*u - 52. Give x(-23).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) 4\/27 (c) -1\/8 (d) 0.4 (e) 2161\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-15\/8)*w)\/(w\/(w*w*w**6\/w*w)))\/(w*w**25*w*(w\/(w*w\/(w\/((w**(1\/39)\/w)\/w))*w))\/w))**(-1\/14) assuming w is positive.\nAnswer: w**(6505\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 18304 = -29*s - 21*s. What is the highest common divisor of 550 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0 + m**2 + 0*m + 1\/30*m**5 - 2\/3*m**3 - 1\/12*m**4. Determine c so that p(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29260 - 29250.4584. Let w = y + -9.5. Round w to 3 decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -4\/3149769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9289*q - 6791. Let m(v) = v - 103. Let x(w) = b(w) - 11*m(w). Differentiate x(d) with respect to d.\nAnswer: 9278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -6 - (-74 - -75 - (-3)\/(-4 + 1))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/840 and 101\/467516?\nAnswer: 14025480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:42 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 + g**2 - 11*g**2 - 17*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 77d4 (base 14) to base 6\nAnswer: 240050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638422.\nAnswer: 2, 101, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2434028, -2434029, -2434030, -2434031, -2434032?\nAnswer: -2434033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) -29 (d) -312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*x - 2061*x = 264 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from {y: 4, z: 16}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*x**3 - 23*x + 218201 wrt x?\nAnswer: -108*x**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -905 (base 10) in base 15?\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Suppose -266*i + 76*i + 184 = -386. Solve -i - h = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 25) + (-2 + 1 - (-5 - -4))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.03. Let l = x + 0.4. What is the second biggest value in -2\/5, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**5 - k**4 + k**3 - k**2. Let b(g) = 7*g**5 - g**4 - g**3 - 13*g**2 + 8*g. Let u(w) = b(w) - 5*m(w). Factor u(l).\nAnswer: 2*l*(l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/81252 and -65\/40626.\nAnswer: 81252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 6\/383 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 + -151. What is the least common multiple of m and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -16 + 4. Let c(m) = m**2 - 5*m - 6. Let i be c(r). Let h(k) = -k - 70. Let n be h(i). Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 8*w - 2. Let p(c) be the first derivative of -4*c**3\/3 + 9*c**2\/2 + 3*c - 1. Let o(t) = -3*f(t) - 2*p(t). Determine o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 + 2*n - 13. What are the prime factors of k(6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - 5168\/(-102))*6\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 16. Suppose 5*h - 28 = 22. Let r be x(h). Let z be 3\/4 + r\/24. Solve f + z = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9810641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 957652 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/8 - -21\/8. Let y = -1.1 + 2.7. Let z = y + -1.6. Which is the closest to z? (a) p (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58004.3336 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d**2 - 81*d - 42. Let h(x) = -23*x - 6*x**2 - 8 + 5 - 9 + 0*x. Let i = -93 - -88. Let l(o) = i*u(o) + 18*h(o). Factor l(a).\nAnswer: -3*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -12*a**4 - 9026*a**3 + 117404*a**2 - 310662*a - 55080 = 0?\nAnswer: -765, -1\/6, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7 - 2.32.\nAnswer: 3.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s = 15, -4*x = 4*s - 180. Let k = 48 + x. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 2445?\nAnswer: 32\/815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*o + 140*o = -7770 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 434748178 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1784 + -1782. Let i(r) be the third derivative of 0 + 17*r**u + 3\/2*r**3 + 0*r + 1\/60*r**5 - 1\/4*r**4. Factor i(f).\nAnswer: (f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.8 + -48.80000417. Round z to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 40 = -5*o - 0*j, -2*o - 4*j = -16. Let b(i) = -i + 7. Let m be b(5). Is (o - 1)*2\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/11, 489\/5, 127 in ascending order.\nAnswer: -2\/11, 1, 489\/5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*l**3 - b**2 + 572*b - 1466*l**3 + 6 wrt l?\nAnswer: 3*b**2*l**2 - 4398*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 3*o - 176, o - 1 = 0. Let r = m - -254. Let d be (-34)\/9 - 18\/r. Put d, 0.5, -0.3 in decreasing order.\nAnswer: 0.5, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 21384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.577 - 2.213. Let g = k - -9.7. Round g to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8768 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**3 - 3*m**3 + 4*m**3)*(4*m - m - 5*m + (4*m + m - 3*m)*(-3 - 3 + 4)) to t*m**3 + j*m**4 + v + c*m**2 + q*m and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 - -166. Suppose 0 = -5*n + 5*l - 40, 6*n - l = 3*n - 32. Let x be (-2)\/((n\/(-7))\/(-6)). Calculate the greatest common divisor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**3 - 34*h**2 - 32*h - 6. Let f(i) = i**3 + 3*i**2 + i - 1. Let p(l) = 6*f(l) + g(l). Factor p(k).\nAnswer: -2*(k + 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 34. Let g(a) = -2*a. Give g(r(s)).\nAnswer: -2*s + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-44 - -32) + -1 + (-102)\/(-14).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120863174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12671 = -136*a + 528*a - 5753 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 1, m: 2, s: 7, j: 6, q: 1}. What is prob of picking 1 q and 2 s?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3. Suppose 15 = -5*t + 10. Let j(w) = 4*w**3 + 2*w**2 - 1. Determine t*j(x) + 6*o(x).\nAnswer: 2*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (30\/(-28))\/(68\/(-136))*-7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6107, -12218, -18281, -24272, -30167, -35942?\nAnswer: -41573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 9*z**2 + 9*z + 9. Let a be p(10). Let v be ((-8)\/6)\/(a\/(-12)). Let u = -11 - v. What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4\/6)*(-28809)\/(-66). Let i = k + -159. Suppose -2*x = x - i. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 280*v + 867*v + 41292 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -304 - -307. Which is the smallest value? (a) i (b) -0.073 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -2 + 19 + 2 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-18)*3)\/(-1))\/((-67)\/((-240932)\/(-145)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -11*c + 29, 3*x = 211051*c - 211050*c + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10\/15 - 0)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from ctttxthttxcxxt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -316, -607, -866, -1081, -1240?\n\"Answer: 2*q**3 + 4*q**2 - 317*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1335.\nAnswer: -4005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -6*z + 5*z + 2, -4*z - 3*n + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from egdrdtme?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.34, -0.36, -2, 3\/4?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(117)*2 + -2.\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9038, 283 in decreasing order.\nAnswer: 9038, 283, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 141956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m**3 + 4*m**2 + 4. Let u(q) = 32*q**3 - 11*q**2 - 11. Determine 11*i(o) + 4*u(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 9*v + 18. Let w = 36 + -32. What is the remainder when 90 is divided by z(w)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i*w**3*z + 32*i*w - 113*i*z - 2*w**3 wrt w?\nAnswer: -9*i*w**2*z + 32*i - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*((r*r**(-9)*r)\/r*r)\/r)**(-28))**26 assuming r is positive.\nAnswer: r**4368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((70550\/(-765))\/(-83))\/(1\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2434.8848 less than -887?\nAnswer: 1547.8848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 23 = -4*g, g + h = 2*g + 3. Let z = 13 - 7. Suppose -16 = -g*j - d, -34 = -5*j + 2*d + z. Calculate the remainder when 23 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, 68, 114, 180, 272, 396, 558?\n\"Answer: k**3 + k**2 + 22*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162862 + -10?\nAnswer: 162852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z. Let r = 2 - z. Suppose -r*o + 28 = 2*o. Round o to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14221 (base 7) to base 14\nAnswer: -15b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 56357568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6 + 3*x**4 - 70175*x**3 + 2*x**2 - 2*x + 18184 wrt x.\nAnswer: -120*x**3 + 72*x - 421050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 54.63. Let a = p - 0. Let g = a - 0.37062. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-4 + -2)**2 + -4.\nAnswer: 16*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 114 = 14*j. Let l = -38 + j. Suppose 0*n - 5*n + 285 = l. What is the highest common factor of 38 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (0 - (-21)\/1). Let b = g - -21. Solve b = 3*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 16 = 9*j. Let i = 12 - j. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose -q = -2*q, -c*x = 4*q. Suppose x = 4*a, -a = 5*r + a. Solve -4*p - 4 - 4 = r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 26, -2.\nAnswer: -2, 0.29, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 43. Let f be -5 + (-108)\/90*(1 + -11). Suppose v - t = -f. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248.84 * -0.3.\nAnswer: -74.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.3. Let z = j + 1.3. Let k = 1773.4 + -1772.4. Is k smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - u + 3 = 0, c - 5*u + 14 + 5 = 0. Let y(k) = 10*k**2 - 4*k + 3. Let a be y(1). Suppose -4*h = -5*n - 40, -4*h = -n - 15 - a. Sort -8, c, h.\nAnswer: -8, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - f = 3, -4 = 4*f + 8. Which is bigger: p or -3\/9973?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + t - 6436659 = 3790347, 0 = 4*d - 2*t + 8181612. Round d to the nearest ten thousand.\nAnswer: -2050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + 2*t + 58. Let d(p) = 2*p**3 + 5*p**2 - 5*p - 117. Let q(f) = 2*d(f) + 5*j(f). Does 18 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46870828 and 5844.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**2 - 21\/4*y**4 + y**5 - 3*y + 0*y**3 + 58. Find the second derivative of d(q) wrt q.\nAnswer: 60*q**2 - 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 12*b - 30. Let i(k) be the second derivative of -k**5\/30 + k**4\/4 - k**3\/3 - k. Let c(z) be the second derivative of i(z). Determine c(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14*(-5)\/10*88\/(-7) and 28.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - g. Let h(k) = -k**2. Suppose -2*z = 3*t + 23, -t + 5 + 6 = -4*z. Let x(n) = n**2 + 4*n - 2. Let a be x(z). Give a*v(o) + 3*h(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 5. Let b(g) = -2*g - 20. Let q be b(-10). What is the closest to q in 0, -0.4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-15)\/3 + (-3 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 107*m\/3 + 520.\nAnswer: -(m - 13)*(m + 120)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2003 in 0.1, 1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) 3 (c) -102 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138650 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1876381, 1876406, 1876471, 1876594, 1876793?\nAnswer: 1877086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605299478 to the power of 1\/2, to the nearest integer?\nAnswer: 40066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 2}. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302*0.01.\nAnswer: -3.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g. Let h = 428 + -427. Let m(k) = -8*k**2 + 3*k. What is h*m(n) + 6*f(n)?\nAnswer: -2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -91\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 295 - 302. Put 5, b, 6 in descending order.\nAnswer: 6, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.8, 373, -0.1, 0?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34a92233 + -5?\nAnswer: 34a92229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -59b52 (base 13) to base 2\nAnswer: -101000001010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 5. Let w be v(-4). Let d = w - 6. Let x(o) = o**3 - 6*o**2 + o - 4. Calculate the least common multiple of x(6) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29 + 0)*549\/3. Suppose 4*s + 4*i + 3809 = -h, -s - 2285 = 3*i. Calculate the common denominator of s\/(-168) - 4\/(-14) and -29\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1200?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 1) + -5 - (1 - 0). Solve 3*x + 12 = -f*v - 2*v, 2*x + v = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -516 + 516. What is the third biggest value in 0.001, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 8*w + 3. Let g be p(-6). Is 8 a factor of 2\/5 + 114\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -26 + (-1189 - -1206).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1567, -3575, -5585, -7597, -9611, -11627?\n\"Answer: -z**2 - 2005*z + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -58683421922430 - 0.2\nAnswer: -58683421922430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*c + 20*c - 69 - 42*c + 18*c to the form v + k*c and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1922085 and 7413?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 3*j**2 + 2*j. Suppose -34*h = -29*h - 10. Suppose -6*d + 4*d = h, -1 = u + 4*d. Calculate q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/((-3)\/45 + 78\/(-180)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(3\/4))\/((n\/(n\/n**(-3\/8))*n)\/n)*(n*n**(-6\/5)*n)\/n*n*n\/n**(2\/15) assuming n is positive.\nAnswer: n**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = 5*b - 3, 0 = 3*b - 15. Let q = 18 + x. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 19*f + 1200 = -4*f - 240 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -319 + 319 + 276*n + 1772*n + 404*n as r + i*n and give i.\nAnswer: 2452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 110*r - 870. What is n(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 91*o + 1519. Let t be u(69). Which is the fifth smallest value? (a) -4 (b) -0.4 (c) t (d) 0.6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 - 0.9. Let q = 29.54 + z. Let h = 29.54 - q. Round h to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + 648. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 19*b - 54. Let k be q(3). Suppose 0 = o - 2*x + 4 - 12, -k*o = -5*x - 22. Solve 0 = o*u - 3*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 680 = -8*k. Let l = k + 88. Solve -l*d = -8*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -159, -26, 161, 402, 697?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12149, -1, 0.273 in decreasing order.\nAnswer: 0.273, -1, -12149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 464183582 to the power of 1\/2, to the nearest integer?\nAnswer: 21545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 151*m**2 - 244*m - 560. Determine y(52).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*h - 298 = -1047*h + 86 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 + d**2 - 1. Let g(t) = t**2 + 8*t - 4. Let o be g(-9). Suppose 0 = o*a - 7 + 2. Calculate b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooof when four letters picked without replacement from {o: 4, f: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:46 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77672284?\nAnswer: 2, 19418071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6 + 1)*9735\/22. Suppose 0 = -3*d + 3*q - 2*q + v, -d + 99 = -q. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1374 - r**2 - 1374. Let z(f) = 3*f**2 + 5*f + 5. Let g(c) = 2*c**2 + 3*c + 3. Suppose -32 = 4*n - 8. Let m(k) = n*z(k) + 10*g(k). What is m(x(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 6. Let d(o) = -o - 1. Let k(l) = -9. Let a(c) = -2*d(c) + k(c). What is -5*a(p) - 6*t(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29130 divided by -5826.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dda when three letters picked without replacement from {a: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmjmgmmmmmrrttrrmj. Give prob of picking 1 t and 1 r.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*z**4 - 1056270*d*z**2 - d - 17983814*z wrt z?\nAnswer: -36*d*z**2 - 2112540*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (54*((-176)\/40)\/22 + 12)\/((-6)\/(-260))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3) + (-2 - -5). Let o be a + (3\/(-3) - -2). Find the first derivative of 75 - 2*p**3 + 3*p**o - 80 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274652180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 2588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:52 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3759\/496 > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d + 201 - 670 = 259 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103758886 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-2)\/4). Let f = v - -6. Let j(s) = -s**3 + 7*s**2 + 7*s + 11. Let g be j(8). Solve 5*x - 3 = 7*w - g*w, 0 = -5*w + f*x - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -4.3 (c) -0.03 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 625865893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m. Let r = -0.11 - 1.89. Let x = -7 - -6. What is the closest to m in x, r, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stttthshssthhsttssst. What is prob of picking 3 s?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:32 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 230?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9975 - 136*r + 9975 to the form w + j*r and give j.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 20911?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2947126 by -1473563.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1*(1 - 7). Let n = m + 3. Solve 0 = -4*c - 16, -l + 5*l - 5*c = n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 112, 201, 310?\n\"Answer: 10*n**2 + 39*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*s + 12 - 5, 0 = 5*s + 5*y + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*x - 29*a*x**2 + 239*a*x - 2*a - 1336091*x**2 wrt a.\nAnswer: -6*a*x - 29*x**2 + 239*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -18129285?\nAnswer: -18129285.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149348 is divided by 630.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 2\/11, 0, 2\/7, 3 in increasing order.\nAnswer: 0, 2\/11, 2\/7, 3, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 16246*v - 5414*v - 1361*v**4 + v**3 - 5418*v - v**2 - 5416*v as h*v**4 + j*v + u + m*v**2 + p*v**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3\/6 - l. Let f(z) = -3876*z**2 - 3 + 3883*z**2 + 3. Give f(q(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18750543 is divided by 177.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38774, -38772, -38770?\nAnswer: -38768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4 and 59\/148838?\nAnswer: 297676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 73. Let w = n + -87. Suppose -10 = -w*m + 6, -647 = -5*s - 3*m. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.1 (c) -1\/195 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242650*u**4 + 108*u - 13?\nAnswer: 2911800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n - 175*n + 4439 = -5046 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 11. Let i be 2615*1\/15 - 1\/3. Let j = i - g. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 6:50 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgwwzmggnvwgmvgzgz. What is prob of picking 3 z?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 31. Suppose -63 = -7*j - 2*j. Suppose -5*t + 5 = g, 6*t = 10*t - 5*g - 33. Solve -j*s + t*s = -o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*r + 461 - 81 = 0, -5*r + 46 = x. Calculate the remainder when x is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32212 (base 4) in base 3?\nAnswer: 1021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278102396?\nAnswer: 2, 11, 13, 486193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 + 188.762. What is o rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50945*u - 51011*u + 330 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2 + (0 - -3). Suppose -s + l = -0*s. Solve -s*x**4 + 13*x**2 - x + x**3 - 2*x**4 - 9*x**2 = 0 for x.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z + 5. Let w(d) be the second derivative of d**3\/6 - d**2\/2 + 2*d - 217. Calculate q(g) + w(g).\nAnswer: -3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 837 and 52.\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 96 = -h, -2*h + 0*h + 192 = -k. Let j = h - 41. Let i = j - 45. Solve -n - n - i = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/9*(-3649308)\/(-104) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three halves of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*t - 39 - 60 = 0, 4*t + 84 = 2*a. What is the remainder when 26 is divided by (a + -1)*(-12)\/(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 702451.5 micrograms?\nAnswer: 0.0000007024515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52\/(-130) + 3372\/5.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 92\/(-26) - (-90)\/(-195). Which is the second smallest value? (a) -17\/5 (b) 4 (c) q (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33275675 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 229913 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3890166 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -513, -524, -535, -546?\n\"Answer: -11*k - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -31. Let p(k) be the third derivative of 2\/525*k**7 - 1\/60*k**4 + 1\/840*k**8 + 0 + k**2 + 0*k**3 + 0*k - 1\/75*k**g + 0*k**6. Factor p(x).\nAnswer: 2*x*(x - 1)*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -291 + 348. Suppose 5*a = -2*m + w, m = 5*a - 0*m - 69. Let c(b) = b**3 - 14*b**2 + 15*b - 30. What is c(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**5 - 70247*t**3 - 2*t**2*y**3 + 3351*t + 2*y**3 wrt t.\nAnswer: 40*t**3 - 421482*t - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18080828087012 + 0.2\nAnswer: -18080828087011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 53, 100, 167, 260, 385, 548?\n\"Answer: i**3 + i**2 + 23*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13713 + -5?\nAnswer: 1370b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*y + 2772 = -46*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154\/3*a**2 - 686\/3 + 1\/3*a**5 + 20\/3*a**4 - 637\/3*a + 124\/3*a**3.\nAnswer: (a - 2)*(a + 1)*(a + 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.228 - 0.028. Let d be (-18)\/8 - (-1)\/4. Which is the nearest to m? (a) -0.3 (b) -1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 17*g**2 + 4148*g + 51. Calculate v(-244).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189947\/6030 + -1\/3015. Calculate the common denominator of y and ((-62)\/4)\/((-63)\/(-14)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.2. Let k be (1\/(-16))\/(1\/6). What is the nearest to -0.1 in k, h, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016809264769 rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 203*b + 275. What is the tens digit of w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 - 3*o - 14. Let i be c(6). Factor -2\/5*n**i + 0 - 2\/5*n**3 + 2\/5*n**5 + 0*n + 2\/5*n**2.\nAnswer: 2*n**2*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 69 = 32*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/30 - (-3)\/(-5)) + 5. Suppose 0 = 5*c - 0*c - j, 2*a + 51 = c. Let p be (-10)\/a - (-16)\/(-90). What is the nearest to 0 in p, -3\/8, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321300 + -2121?\nAnswer: -1330021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -453620\nAnswer: -1\/453620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -157*n - 144. Let u be v(-2). Calculate the highest common divisor of 306 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 98671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -18*g. Let a(k) = 6*k. Calculate 11*a(j) + 4*v(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 9044 + 2415. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68748595 or -343742972\/5?\nAnswer: -68748595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) - (1 + sqrt(2592)) - (-2*sqrt(160))\/sqrt(5)) + 3.\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + 17*u**3 - 2*u - 16*u**3 + 88 to the form a*u**3 + l*u + h + j*u**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1806181944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 609, -0.4, 1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tccctcffccct. Give prob of picking 1 f, 1 c, and 1 t.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(80\/(-10)) + 172\/16. Let h = 51 + -35. Suppose h*i = g*i + 620. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241701335 to the power of 1\/2, to the nearest integer?\nAnswer: 15547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 16. Suppose 22 = j*r - 35. Suppose 3*p + 7 = r, 5*o + p = 804. What is the highest common divisor of o and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-36) + 2\/(-3). Let b = 7\/18 + i. Let p(k) = -k**2 - 19*k - 71. Let d be p(-14). What is the biggest value in d, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - 2*p**2 + 1. Let h be d(-1). Solve -v + 3*v + h = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/3 + w**4\/2 - 61*w**3\/3 + 44*w. What is the second derivative of i(n) wrt n?\nAnswer: 120*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 293, 595, 883, 1151, 1393, 1603, 1775?\n\"Answer: -k**3 - k**2 + 312*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4092118 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 175, -0.5, -2?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/4876 - -2443\/4876. Which is the closest to -1\/2? (a) o (b) -51 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 + 2*c**3\/3 - 4*c**2 - 7*c. Determine u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)\/u**(-11\/3))\/(u**(-2))**(10\/11))**(-29) assuming u is positive.\nAnswer: u**(-25288\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279*81.22.\nAnswer: 22660.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*g - 20. Let x = g - -14. Suppose 0 = -2*q + 10, 0 = x*j + q - 3 - 10. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**2*m*s + 2*i**2*s**3 - 2*i*m*s**3 - 4*m*s**3 + 2*m*s**2 - 7*m wrt s?\nAnswer: 12*i**2 - 12*i*m - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:58 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*q**2 - 4*q**3 - 85*q**2 + (-q + 3*q - 5*q)*(3*q - 3*q + 5*q)*(-5*q + 4*q + 0*q) to h*q + z*q**2 + n*q**3 + v and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1230.8 and -0.416?\nAnswer: 512.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499\/5 - -100. Let m(l) = 4*l - 21. Let a be m(4). Let n be 4\/(-1)*a\/(-220). Is n equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u + 10*u + 63*u + 2 - 2 - u + (1 - 3 + 1)*(2*u + 1 - 1))*(-14*u + 0*u + 3*u).\nAnswer: -671*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.4 (b) 2 (c) -12 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-126)\/(-96)*124 - 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/64 and 89\/170140?\nAnswer: 2722240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12808 = 4*y + 3*f, 0*y - 3*f + 16013 = 5*y. List the prime factors of y.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -12 + 3 + -6 + (5 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -1\/5*o**2 + 3*o + 2\/15*o**3 - 1\/30*o**4 + 0. Let i(q) = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2 + 0\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/55*(-25 - -5)*4\/2\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 61. Calculate the common denominator of 65\/6 and (140\/i)\/(-3 - (-6 - -1)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 - 37*o - 3. Calculate w(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 9*b - 32. Calculate the remainder when (-94)\/b + (-4)\/((-84)\/(-9)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(19\/4)*m**(-2\/61))\/(m*m*m**(-6\/5)*m**(-42)) assuming m is positive.\nAnswer: m**(45649\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1777, 3349, 4737, 5941?\nAnswer: 6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:58 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 10) to base 6\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-1 - 3) - 3. What are the prime factors of -77*(o\/4 + 0)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0 - 1, -3*c = -2*k + 11. Let j = c - -7. What is the third derivative of b**5 + 3*b**2 - 4*b**2 + 2*b**j - 2*b**4 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823395 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 26 - (-12 - (2 - 3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i - 82*i - 51*i to p*i + w and give p.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 8) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and 0.094.\nAnswer: 4.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/958, 2\/7, 2\/3545?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5715 + 2871 = 96*p + 2154 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -60*m**3 - m**2 + 1. What is u(1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -65211461 bigger than -65211461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than -95\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 307985 = 5*b, b + 0*b - 307997 = -2*w. What is w rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4*u**2 + 6*u - 4. Suppose 0*a - 2*a - 3*w + 4 = 0, -5*a - w + 23 = 0. Suppose -3*b + 5*m + 10 = 0, -b + 4*m + a = 2*b. Calculate z(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, q: 4, y: 11}. What is prob of sequence yqq?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/13 - 91626*s**3\/13 - 47905220*s**2\/13 = 0?\nAnswer: -517, 0, 46330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 3*b)*(6 + 0 - 3)*(13 + 0 - 2).\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.8 - 78.3. Round z to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 8:49 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 - 4 = 0. Let m be n\/18 + 980\/(-126). Suppose -4*i = c + 21, 3*c + 2*i + 13 + 0 = 0. Put c, m, 4 in increasing order.\nAnswer: m, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 24*t. Let k(q) = q**2 + 3*q + 102. Calculate u(k(n)).\nAnswer: 24*n**2 + 72*n + 2448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/3, 3, -8, -4, 462?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 3, v: 1, l: 11, e: 2}. What is prob of sequence nl?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 3, 0.4, -20200 in increasing order.\nAnswer: -20200, 0.4, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 2 + -16)\/(-1). Let d(b) = b**2 - 11*b + 19. Let u be d(9). Sort -4, u, -5, x.\nAnswer: -5, -4, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((16\/12)\/(5\/15))\/1. Suppose i*w - 151 = -143. Suppose -3*x - 19 = -4*l - 4*x, -l + 10 = 2*x. Solve -u = 4*b - 8, b + w*u - 13 = -l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 12 + 2 - 20*s**2 in the form i + x*s + f*s**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 593207233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t + 0*t**4 + 74*t**2 + 0*t**3 - 1\/15*t**5 + 0. Let x(w) = 8*w + 9. Give x(j(z)).\nAnswer: -32*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*9\/6)\/((-1635)\/(-1090))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -359 divided by 81968?\nAnswer: -359\/81968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l)*((184*l - 3 - 662*l + 98*l)*(-1 + 0 - 1) - l + 1 - 1) + 3 - l**2 - 3.\nAnswer: 1517*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/3852*6*(-9)\/(-6). Which is the biggest value? (a) 5 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-842)\/(-18) - (-4)\/18 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 - 8*c + 10. Calculate q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22733026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 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: Calculate the highest common factor of 275 and 637252.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvzpztzzvzyyt. What is prob of picking 1 p, 1 v, and 1 y?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 290 = -5*t. Is t >= -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 15. Let x be 102 + (20\/s - -3). Let c = -32 + 52. Calculate the highest common factor of x and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(-4) - 16\/(-32). Suppose -2*a - u = -34. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217272982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.911 * -0.1363.\nAnswer: -3.1227693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 1634 = -1650 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 12*y - 14. Suppose -302 = -5*c + 2*n, -4*n - 190 = -3*c - 5*n. What is the lowest common multiple of y*(16\/24)\/(4\/(-18)) and c?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2793, -8, -11 in ascending order.\nAnswer: -11, -8, 2793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5437875 + 0.05.\nAnswer: 5437875.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.48425 meters to centimeters.\nAnswer: 3148.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 186 = -9*o. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (2\/3 + (-1082)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(92*s**2 + 4*s**4 - 94*s**2 + 2*s**3 - 2*s + s).\nAnswer: 4*s**4 + 2*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 7825356.\nAnswer: 39126780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/(-18) - (-4)\/18. Let f be (-672)\/(-280)*5\/2. Calculate the greatest common factor of f and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -708 (b) 0.1 (c) -0.2 (d) 6 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -282 and -283 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 19*q + 3*x = -10, -48*x = q - 53*x - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l = 35*l - 58*l - 64 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3844*w + 65342. Determine t(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23446, -20194, -16942, -13690?\n\"Answer: 3252*n - 26698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 15*n - 44.\nAnswer: -(n - 11)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50910 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -481116278, -962232556, -1443348834, -1924465112?\n\"Answer: -481116278*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {n: 2, f: 2, h: 1, v: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -389, -2, -4.\nAnswer: -389, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p**2 + 0*p)*(1 + 2 - 4) - 5896*p**2 + 4 - 2 + 6004*p**2 as n*p + v + z*p**2 and give z.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 520909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 3:23 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o\/((o\/o**(-1))\/o))\/o)))\/o**(-5)*(o**(-6)\/o)\/o**(2\/7) assuming o is positive.\nAnswer: o**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-420)\/(-24)*2\/90 - 2 and -33\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -779, -1540, -2301, -3062?\n\"Answer: -761*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b - 68*b + 83*b**3 - 82*b - 217*b**3 wrt b.\nAnswer: -804*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 + y - 4. Let v(a) = 15*a**3 - 3*a**2 - a - 9. Calculate 3*k(r) + v(r).\nAnswer: 12*r**3 + 2*r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w**(-13)\/w)\/w)\/w))\/w**(1\/7)*(w**(1\/4))**39 assuming w is positive.\nAnswer: w**(745\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4 - f**3 - 23*f**4 + 0*f**4 + 9*f**4 to j + i*f**3 + x*f + u*f**2 + v*f**4 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 10 - 5)*(-2*m**3 - m**3 + 4*m**3) + (-1 + 0 + 9)*(-m**2 + 22*m**2 - m**2)*(-4 + 4 - 2*m) as t*m**3 + l + y*m + i*m**2 and give t.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*k + 63 = 0, 3*x - 205 = -9*k + 7*k. Suppose 44 = -q + x. Let n = 73 + -5. What is the remainder when n is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18153 - 3139. Let k = v - -21291.14082. Let h = k + 0.86. What is h rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 5138.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 2*r + 8. Let l(n) = -5*n**2 - 3*n - 9. Give 3*l(o) + 4*y(o).\nAnswer: o**2 - o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1)*-1*151. Suppose 5*p - 64 = -2*n, 3*n = p - 13 - 10. Suppose -p*i + 11*i + q = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 + 192. What are the prime factors of t?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - f - 217, 10*a = 11*a - 5*f + 187. Let g = -208 - a. Solve 2*x - 2*y + 2 = g, y + 7 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267229316 to the power of 1\/2, to the nearest integer?\nAnswer: 16347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 326*p = 2394 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24 + 2 - 42912\/264. What is the second biggest value in q, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/4 - 2*b - 4 = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:26 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 1. Let s be m(1). Suppose s*h - 5*k - 21 = h, 2*h - 75 = -k. What is the highest common divisor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-30)\/35) - (-6 - -2). Sort a, 0.1, -8 in decreasing order.\nAnswer: 0.1, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 = 509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 22. Let a be n(4). Solve 0 = -a*h + 3*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/3 + (-6)\/18. Let z(x) = -x - 11. Let j be z(g). What is the tens digit of (j\/2 + -20)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -334.8994 - 0.1006. Let y = 184.2 - 490. Let m = s - y. Round m to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2215*i - 39872. Calculate b(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2926*k**2 + 2*k + 106467.\nAnswer: 5852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*s + 643 - 93, -4*g = 5*s - 2263. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 6*o**2 + 9*o - 9. Let y be 52\/8 - 4\/(-8)*1. Calculate j(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 - 20\/5. Let k be l\/(2 + (-12)\/5). Suppose k*t - 110 = 155. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 4*b + 4. Let x be -2*15\/10 + 8. What is o(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*v - 0*v + 1128, 3*g + v + 1128 = 0. Let u = -261 - g. Let y = -107 + u. Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 126*i + 1335 = -30*i + 407 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:35 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 11, 23, 39, 59, 83?\n\"Answer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38604 (base 10) to base 9.\nAnswer: -57853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -10. Is (-711)\/(-3)*a\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -12*n + 0*n**4 + 0 + 0*n**2 - 3\/100*n**5 + 1\/10*n**3. Factor b(l).\nAnswer: -3*l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from kcc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/26)*x*x**37*x*x*x*x\/(x\/x**40)*x*x**42 assuming x is positive.\nAnswer: x**(3223\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 3*l**2 + 2*l + 3. Determine h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70071288 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**2 + m + 8. Let w be i(-1). Suppose -w*y + 41 = 14. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*r + 68 = 0, -4*o + 2*r - r = -97. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2752*p**4 + 1685*p**2 wrt p.\nAnswer: 66048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -21. Let d = -0.2 - -0.2. Which is the closest to 2\/5? (a) v (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 20*f + 3*j + 80, 0 = -j - 6. Calculate the remainder when 1010 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 964523, 964588, 964687, 964814, 964963?\n\"Answer: -v**3 + 23*v**2 + 3*v + 964498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(18\/(-42) + 22*2\/(-28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6411 + 3803?\nAnswer: -2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 5*o**3 - 4*o**2.\nAnswer: -o**2*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(171) - (sqrt(171)*-1 - sqrt(171))))\/sqrt(9) - (0 + sqrt(19) + (sqrt(19) + (sqrt(209) + -4*sqrt(209))\/sqrt(11) - sqrt(19)))) + -1)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -z + 77, 4*z + 0*z = 5*t + 274. Suppose 0 = -2*w - 2*v - 673 + z, 3*w - v + 919 = 0. What is w rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**2 - 675992*f + 675992*f.\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1097 - -1684. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f = -19*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 + 63\/(-27). Let v(h) = -1314*h - 11. Let z(y) = 1315*y + 12. Let x(l) = -5*v(l) - 6*z(l). Is x(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 19*k - 38. Let r be l(11). Solve -14 = -178*p + r*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 + -69. Let q = 51 - 127. Let r = q - -102. What is the greatest common factor of r and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635292.2 years to millennia.\nAnswer: 635.2922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43169*b**2 + 185229*b.\nAnswer: 86338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**10\/37800 - 7*m**6\/720 - m**5\/20 + 8*m**2. Let j(n) be the third derivative of x(n). Differentiate j(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/16)\/((-1)\/(-12)). Differentiate -9 + 15 - 11 - a*j wrt j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o - 8546 = -351*o + 4054 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2*(-1)\/60)\/1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10*i - 1356 = 0. Suppose -z = 35 - i. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 636*x + 5 = -643*x, 4*c - 2*x + 50 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + -9 + (-9 - -7 - (-11 - -16))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szozso. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -11. Suppose -4*a = -3*u + 5, 9*a = 4*a + 5*u - 10. Solve a = v*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 5:06 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6411441 is divided by 15085.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 0 + 0 + (-2 + 7 + 0)*(2*k + 0*k - 4*k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 18*r**2 + 44*r + 5. Let x be q(-5). Let f(j) = 0 + 3*j + 5 + 7 - 2. Let w be f(x). Is w at least as big as -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 218.161271 from 0.6.\nAnswer: -217.561271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 52*b - 122. Let p be 1 + (-4 - -1) - -3 - 37. Is 26 a factor of h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + h = 7, -1898*h + 15 = -3*k - 1894*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*3 - sqrt(168))\/sqrt(12))\/sqrt(2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + (-1 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + j = -3481, -z = 2*z + 4*j - 3476. List the prime factors of z.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653675827 by 3012331.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 1.47, 3, -1\/10, -2 in ascending order.\nAnswer: -55, -2, -1\/10, 1.47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -7. Let r = k - -1. Suppose r = 4*n - 0*n - 92. Calculate the greatest common divisor of 69 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:25 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (120\/36*6)\/((-1)\/26*-4). Sort 4, u, 5 in decreasing order.\nAnswer: u, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 106261692*w + 1411443398337858.\nAnswer: 2*(w + 26565423)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:02 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11*h + 22*h - 16*h = 91, 15 = -m - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3142 (b) 0.16 (c) -0.4 (d) -0.3 (e) -1 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.114049 - -10335.585951. Round s to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 5. Let k be p\/((-36)\/11) + 2\/(-9). Solve -s + 4 = k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 10 - (26 - (-31 + -23))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppapppaappappa?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*k - 28 = 0, 8*k - 8 = 4*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 553*m**4 - 41*m + 1.\nAnswer: 6636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.128571, -4, 1.55?\nAnswer: -0.128571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 26 = -r, 2*h = 64*r - 60*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -2*y**2 + 0 + 0*y**3 + 0*y**4 + 4*y - 1\/10*y**5. What is the first derivative of a(k) wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -6. Let p(i) = i**2 - i - 7. Let h(j) = -11*j + 24. Let n(v) = h(v) + 3*p(v). What are the prime factors of n(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885135 is divided by 1854.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(117) - 1*(sqrt(117) + (sqrt(117) - sqrt(117)*-1) + sqrt(117)))*-6)\/(((sqrt(576)*2 - sqrt(576) - sqrt(576)) + sqrt(36))\/sqrt(4)).\nAnswer: -2 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/2 + 39928293*a**3 + 1594268741607013*a**2\/2 + 3188537004074526*a + 3188536844361362 = 0. Calculate a.\nAnswer: -39928291, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*j + 126*j = 1404 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(((-3)\/1)\/(-12)). Let l = -341\/5 - w. Let z = -37 + 27. Which is the second biggest value? (a) z (b) l (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + y + 18, 0 = -2*n - 2*y - 8. What is the smallest common multiple of 12 and (-3 - n)*1*(1 - -3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30212 and 4?\nAnswer: 120848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2126 and 3.\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z**2 - 1\/3*z**3 + z - 1. What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.73612 and 22.\nAnswer: -302.19464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30629 + 30627.93. Which is the closest to -2? (a) j (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24991.91ml?\nAnswer: 24.99191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1510582104 + 4?\nAnswer: -1510582100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 59. Let w(t) = -5*t**2 - o*t**2 + 4*t**2 + 0*t**2 + t. Determine w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 115?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/(-5))\/(-6))\/((-2)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2\/9 (b) 4 (c) 395\/27 (d) -0.06 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.6 + -8. Let j be (4*1)\/(4\/(-6)) + (-4950)\/(-594). What is the fourth smallest value in d, -5, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**4\/4 + 5*n**3 + 35*n**2\/4 + 5*n\/2 - 2 = 0.\nAnswer: -4, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + -49. Let d = o - -306. Does 41 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3643760 and 39220?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.02, -0.4, -3, 2\/15?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 3}. Give prob of sequence hhhv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 67. Let g be b(32). Solve -2*z - 13 = g*p - z, -4*p = -3*z + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 12*r**2 - 9 + 9*r - 15.\nAnswer: -12*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.47 - 2.48. Let p = w - -39.01. Let c = p + -40.0041. What is c rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -176.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6024 + 22924. Round s to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23268 and 12027894?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 666.\nAnswer: 4\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.3, 19, 3, 0, 180?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -4. Let d be (4 + -2)\/((-15)\/5). Which is the nearest to 0.2? (a) d (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1706.6412 hours?\nAnswer: 71.11005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/25*4\/12)\/((-10)\/(-345)) and -57\/835?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10716 - 125726 = 318*i + 54040. Put -5, -4, i, 5 in increasing order.\nAnswer: i, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-5))\/(25\/1600*-16*(-8)\/5). Solve -21\/4*v**2 - 9*v + q*v**3 + 0 = 0 for v.\nAnswer: -3\/2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + 1)\/((-1)\/2). Let r be (-8)\/(-12)*j\/(-4). Suppose 0 = -2*c + r*k - 4*k + 81, -126 = -3*c - 3*k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-22)*a**(-2\/15)*(a**13)**(-49) assuming a is positive.\nAnswer: a**(-9887\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -532.934 <= 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/18088 - 543219\/5719.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 + d**3 + (-3*d - 2*d + 3*d)*(2*d**2 - 15*d + 15*d) + (d**2 + 0*d**2 - 3*d**2)*(2*d + 2 - 2).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 - d**4\/12 + d**3\/3 + 130*d**2. Determine s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 29*f**2 - 8*f - 6. Let l be a(6). Suppose 0 = 4*b - 5*w - 30 + 149, 3*b - 18*w + 189 = 0. Is 1\/3*(l + b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s + 86. Let h be n(-14). Suppose l - 435 = -4*x - 63, 0 = -h*x - 5*l + 204. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 449 + -449. Let v(l) = -l**2 + 15*l + 912. What is the hundreds digit of v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/80)\/(14\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2, 77, 2 in descending order.\nAnswer: 77, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -160*(1 + (-21)\/12)*4. Suppose 0 = 18*k - 3*k - y. What is the least common multiple of k and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaxaxxxxaaaxaxaxaka. What is prob of sequence axxa?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 25 = -3*q, 2*u - 3*u + 2*q + 25 = 0. Let i = 17 + -12. Calculate the greatest common divisor of u and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527237 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2.0734?\nAnswer: -4.1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 + -14)\/((-2)\/2*42). Which is the biggest value? (a) d (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94898 or 14.87?\nAnswer: -94898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3)*(-9)\/48. Is b smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 333*f**2*p**2 + 1415*f**2 - f*p**2 wrt p.\nAnswer: 666*f**2*p - 2*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11264150.\nAnswer: 2, 5, 19, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**4*q + p**4 - 4*p**3 + 18*p**2 + 2*p*q + q wrt p?\nAnswer: -192*p*q + 24*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65541.1 rounded to the nearest 1000?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -662.9023.\nAnswer: -664.9023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*r*w**3*y - 27*r*w**2*y**2 - r*w**2 - 3*r*w*y + 14*w**3*y**2 wrt y.\nAnswer: -54*r*w**2 + 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**3\/y))\/y*y**(-1))\/(y*y**(-2\/3)*y*y**(2\/15))*(y**3\/y)\/(y\/(y*y\/(y*(y*y**4)\/y)*y))*(y*y**(-1)*y)\/((y*y**(1\/3)*y)\/y*y) assuming y is positive.\nAnswer: y**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 - 5*s - 1. Let i be o(6). Suppose 37 = 3*p + 5*g - 15, 0 = g - i. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + d)*(3*d**3 - 855*d**2 - 150*d + 150*d).\nAnswer: -3*d**4 + 855*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+0.036813434\nAnswer: 0.056813434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = 3*x + 12*b + 29 - 38, x + b - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50046.\nAnswer: 2, 3, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 3. Let x be 4*(-2)\/(-8) + 0. Let b = x - -2. Suppose 2*c - b = -5*o + 11, 3*o - 6 = 0. What is d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956460 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.6 minus -1?\nAnswer: -84.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3*a, -4*a + 4 = b - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18153918000 rounded to the nearest one million?\nAnswer: 18154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333301 (base 4) to base 3.\nAnswer: -12121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705552.\nAnswer: 2, 3, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2817966.\nAnswer: 2, 3, 19, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 + 4. Let b be z(-4). Let w = -1 + b. Let f = w + 3. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/4*-60*9\/(-324).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = 8*g - 84 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -12, -3, -2224, 3 in descending order.\nAnswer: 3, 2, 1, -3, -12, -2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15696 + -10213. Let s be 9\/12 + 219042\/(-40). Let p = b + s. Calculate the common denominator of -91\/12 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7602 - 3801 - 3801 + 4*j - 27*j.\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27678*p**2 - 304454*p + 44 = 0.\nAnswer: -11, 2\/13839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227 is divided by 140?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4)*(-24)\/(-27). Sort 5, -5, -4, s.\nAnswer: -5, -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n - 13. Calculate the lowest common multiple of x(3) and 116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 105 = 5*b, 5*q - 129 = 7*b - 84 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4098, -4095, -4092?\nAnswer: -4089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/60500 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j + 88. Let u be a(5). Let f = u + 30. Solve -3*i + l + 5 = 2*l, -f*i + 3*l + 9 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6849\/18 + (-9)\/6.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2192812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Let z = -8 - -12. Which is the closest to -0.1? (a) n (b) z (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6065 in 2, 3, -19, 1\/7, 5, 3\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-16)\/(-2) + -1. Let k = 300 - 295. Calculate the highest common divisor of v and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 6.13 (b) -93 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 5*h**4 - 2*h**4 + (-10810*h + 623*h**2 + 10810*h)*(-4*h**2 + 2*h**2 + h**2) + 0*h + 0*h - h**4.\nAnswer: -622*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -30 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*g - 274*g**2 + 15*g**3 + 274*g**2.\nAnswer: 15*g**3 + 213*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1924.71 - 1916. Let d = x - -13.05. Let g = d - 22. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 33, -5, -21, -1 in decreasing order.\nAnswer: 33, 5, -1, -5, -21, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 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 o = 27 + -52. Let j = o + 28. Put 0, -8, j in descending order.\nAnswer: j, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -88, -30, 0, 32, -3 in descending order.\nAnswer: 32, 1, 0, -3, -30, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (9 + -5) - (-1 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -760*n + 161*n - 1101*n as t + s*n and give s.\nAnswer: -1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 74a7?\nAnswer: -74a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 6 = 4*r + 5*h, -r = -4*h + 6. Let z(f) = -41*f - 207. Let b be z(-5). Put -14, b, r in ascending order.\nAnswer: -14, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0903 - 6.9097. Which is the second biggest value? (a) 23 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 18. Let i(t) = 3*t - 6*t + 11 - 2. Let k(b) = 3*d(b) - 7*i(b). Let l be k(4). Solve 0 = -l*q + 3 + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 795a + -1bb?\nAnswer: 775b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = 0, -6 = -0*t - 3*t - 3*c. Suppose 2*b = -w + 3*w - 12, 4*b + 26 = 5*w. What is the greatest common factor of t and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 37*l = -33*l + 22, -4*d - 3*l - 11 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 168.7?\nAnswer: 168.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10 and -9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u + 1\/8*u**4 - 1\/60*u**5 - 1\/3*u**3 + 2*u**2 + 0. Determine w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 24*i + 49. Let v be q(22). Suppose 6*j + v*n - 17 = 4*j, 2 = -4*j + 2*n. Put -20, 0, j in decreasing order.\nAnswer: j, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - 4.5. Let f = 2.066 - 4.066. Which is the smallest value? (a) z (b) 0.3 (c) 2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42185358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*g - 3*h, 4*g - 4*h = -2*h - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795512?\nAnswer: 2, 3, 79, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 29. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 2*h - 17 + 1, 2*z - 4*h = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 4310?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g = -1020*l + 1019*l - 127*g - 666, 10 = -3*l + 2*g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281 + 68*w**2 + 13010 - 1288 - 10441.\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 0 - sqrt(98))**2 + 1)*3 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = p - 70, 5*u = 10. Let c = 2027\/10 - 15881\/80. Calculate the common denominator of c and (3\/30)\/((-4)\/p).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.94 + -0.06. Let p = -83\/2 - -45. Let m = p - 17\/6. What is the second biggest value in m, -1\/3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwu when three letters picked without replacement from {u: 3, f: 2, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 9. Let g be m(-5). Let v be (-4 - (-5 + 3))\/(3 + -11). Let r = 2002.6 + -2003. What is the nearest to v in g, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(9\/(-21)))\/1. Let k = 0 + y. Factor 0*p + k*p**2 + 2*p + 1 - 6*p**2.\nAnswer: (p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-544)\/(-255)*-5)\/(((-4)\/(-6))\/(-2))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(832) - (0 + sqrt(832))) + sqrt(832) + sqrt(832) + sqrt(832) + -2*sqrt(832) + 4 + sqrt(832) - (-5 + 4 + sqrt(832) + 5))**2 + 0.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:40 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2*s - 4. Suppose 2 = c - 0. Suppose -3*g = c*g - 20. Suppose -5*j - 36 = g*q, -2*q + 5 - 17 = j. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705 + 132 = 715*v - 593 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.75828m to centimeters.\nAnswer: 2675.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 29*a**2 + 12*a - 8. Let s be k(-20). Let z = 184697\/48 + s. Find the common denominator of z and -89\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163959763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**3*w + 117*r**3 + 108*r**2*w wrt w?\nAnswer: r**3 + 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -19*u + 27*u + u**3 + 7*u**2 - 3*u - 19. What is the remainder when x(-11) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 0. Let b be (-5)\/(-2)*(-12)\/(-10). Let a = 0 - b. Put -2, a, q in ascending order.\nAnswer: a, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 4. Let h be 10 + -9 + -1 + 10. Let r be (-9)\/(45\/h) - -8. Suppose 3 + r = -3*n. Calculate f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -171.4 times -0.5\nAnswer: 85.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -561222, -2244918, -5051090, -8979738, -14030862, -20204462, -27500538?\n\"Answer: -561238*s**2 + 18*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18*(14\/20)\/((-626)\/4695)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 106?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4156019603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-39)\/(-9) + -4)*-47)\/(1565\/4695).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:14 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**(1\/6)\/b)\/b)\/b**(-1\/4))\/(b**(-4\/3)\/(b\/(b\/((b*b\/(b\/b**7))\/b*b))*b*b)))\/((((b\/b**(-1))\/b)\/b)**(-10\/7))**(-1\/38) assuming b is positive.\nAnswer: b**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -20*q**4 - 95*q**3 + 2240*q**2 - 5275*q - 5250 = 0.\nAnswer: -14, -3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 10:29 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m + 4 - 14*m**2 + 11*m**2 - 13*m + 11 - 27. Calculate n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1055*x**2. Let y(z) = -24*z + 3. Determine l(y(c)).\nAnswer: -607680*c**2 + 151920*c - 9495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkdkkkkkkkkkddkk. Give prob of sequence kkd.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3887915897 and 5207.\nAnswer: 5207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 9. Let m(i) = 86*i**2 - 29*i**2 + 5 + i - 56*i**2. Let h be m(v). What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 26078180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 320 + 730. Let l = t - 36. Let x = l + 361. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y**2 - 4 - 3*y**2 + 5 + 2*y**2. Let k(s) = -4*s**2 + 2*s + 3. Let u(f) = k(f) - 2*v(f). Give u(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f (base 16) to base 4.\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 34 = 3*j, 0*j + j = x + 8. Let n = 0 + j. Factor -2*l**2 + 4 + l**n - 4.\nAnswer: l**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 249 = -29*m. Let o be 7 + 1*(-14 - m). Solve 1 = 5*h - b - 29, o = -4*h + 4*b + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 - 42 = -136*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1054 - -1562. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 7*x - 3*x)*(2 - 7 + 2)*(3*x + x - 2*x).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 5*i**2 - 5*i. Let k be h(-4). List the prime factors of 5*k\/10 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3 + 427540*n**2 - 1802873*n.\nAnswer: 18*n + 855080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -3929, -4, 235 in decreasing order.\nAnswer: 235, 4, -3, -4, -3929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 35*r - 929. Give s(25).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 424 = 5*p - 507, 0 = 4*p - 2*d - 84 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 37. Solve -c*o + o = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(117\/(-130))*-9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = g - 4, -3*h + 12 = 3*g - 6*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2268 and 27828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1623, -3281, -4951, -6633, -8327, -10033, -11751?\nAnswer: -13481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c + 11 = 0. Suppose -c*a = -16*a + 35. Let p(v) = v**2 - 6*v + 2. Let r be p(a). Solve r = -4*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h. Let z be 126\/49 - 8\/14. Suppose z*f = -3*f + 90. Solve h = 2*p + 4*v + f, 0*p + v + 5 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3491826578?\nAnswer: 2, 1745913289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*g + 25*g - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, 0.2, 8509 in increasing order.\nAnswer: 0.2, 316, 8509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*5 - (sqrt(99) - (sqrt(99) - -4*sqrt(99)*-3) - sqrt(99)))**2*5.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108557831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (0 + -2 - -4). Let a = -1244.3 + 1244. What is the second biggest value in 2, -2.6, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n - 3. Suppose -4*d + 4 = -12. Suppose 0 = -d*p + 2*j, 2*p + 0*j - 2*j = -2. Let b be w(p). Solve 15 = -b*l + 3*h, -3*h + 11 = -l - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 7*t + 3*t)*(-6 + 1 + 3) + 0 + 0 - t + (-3*t - 3*t + 4*t)*(-2 + 2 - 1).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 25*t - 359. Let o be g(15). Solve 5*f = -4*d - o, 0*f = 2*f - 3*d - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -5\/453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 153. Let z be x(0). Let d = z - -293. What is the greatest common factor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9363*o + 4455*o + 4913*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6565 and 79.\nAnswer: -6486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*((-20)\/(-6) + -3). Let f(y) = -y**3 - 6*y**2 - 6*y - 4. Determine f(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5 = -1. Let b = t - -3. Suppose b = 5*q + 4*f - f - 10, 5*q = -2*f + 10. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:32 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 5:28 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9342.224 to the nearest ten.\nAnswer: -9340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 109.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*x = -5*w + 1334, 2*w - 890 = -3*x. Let f = w + -35. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = -4*n + 7, 3*n - 50 = -2*l. Let r = 0 + 3. Suppose -13 = -r*y + 20. Calculate the remainder when l is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 11. Let i be y(4). What are the prime factors of 520\/(-24)*(i + 0) - -1?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427898200 a multiple of 4150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1 - (-47 - -3)). Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85566349.\nAnswer: 11, 7778759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5) - 9\/15. Let q(d) be the second derivative of d**2 + 2*d + k + 2\/3*d**3 + 1\/6*d**4. Factor q(u).\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u + 4*u - 2 + 0. Let j(t) = 15*t - 7. Give 6*j(f) - 22*s(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 741 + -745. List the prime factors of (b + 904\/(-3))*-3.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16223588067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100130 divided by 17.\nAnswer: -5890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*s + 5406, s - 140*w - 2689 = -143*w. List the prime factors of s.\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/(6\/(-12)). Suppose 3*g = -4*f + 26, x*f - 3 - 12 = 5*g. Let i(h) = h**2 - 59 - 3*h + 61 + 0*h**g. Determine i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1491835 smaller than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.11 + -0.09. Let o = 1.199915 + y. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -140*v - 106*v - 1 - 140*v + 384*v. Suppose 5*z - 18 = 2*i, 2*i - 4*z + 13 = -i. Let d = 1 + i. Calculate g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 94, 367, 894, 1753, 3022, 4779?\nAnswer: 7102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8645318*g**4 - 15852644*g wrt g.\nAnswer: -103743816*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0 + 7\/60*u**5 - 1\/120*u**6 + 0*u**3 + 0*u**4 - 10*u**2 + 0*u. Find the third derivative of x(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-984)\/(-108) + -9)\/(4\/18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3006, 3079, 3148, 3213?\n\"Answer: -2*s**2 + 79*s + 2929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 195\/45 + (-4)\/(-6). Suppose y*z - 1455 = 2*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-32)*(h*h*h**(5\/9)*h)\/h*(h*h*h**(-26))**(-12) assuming h is positive.\nAnswer: h**(2327\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 1 - f**4 - 4 + 12 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**5 - 2*g**4 + 2*g**3 + 2*g**2 - 3*g + 2. Let m(z) = 16*z**5 - 9*z**4 + 9*z**3 + 10*z**2 - 14*z + 10. Let k(h) = 2*m(h) - 11*u(h). Factor k(s).\nAnswer: -(s - 2)*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 27*f = -20. Suppose -f*n - 7 - 8 = 0. Let u be 4*n\/(-66) + (-588)\/(-33). What is the highest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18*n + 1. Let u(b) = 87*b - 3. Let y(w) = 24*p(w) + 5*u(w). Let q(l) = 2*l + 2*l - 6*l. Calculate q(y(i)).\nAnswer: -6*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -16478225?\nAnswer: -1647822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*z = 2*z + 154, 3*z = 2*c - 156. What is the highest common divisor of 30 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*g**2 - 391*c*g - 25*g**3 wrt g.\nAnswer: -4*c - 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*l = 19326, -109*h + 105*h - 5*l = -77406. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x**3 + x**2 - 9*x + 2. Let g(h) = -14*h**2 - 3*h + 14. Suppose -3*a + 0 + 3 = 0, -3*a = 4*s + 29. Give s*b(d) - 5*g(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31233 - 2243. Round f to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-27 - -9 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = f - 5*c, 0 = f + f + 5*c - 46. Suppose 10*w = 11*w - f. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149682 and 702?\nAnswer: 1347138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -525500 (base 8) to base 2\nAnswer: -101010101101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.78 - 2.68. Let p = -1.7 + 2.8. Let c = p + r. What is the smallest value in 0, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (62 + -8)\/(-9) + 9. Solve -m + 1 = v*b, 4*m + 5 = 4*b - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -5.144, 2\/13, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8308 and 4?\nAnswer: 33232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.3, -0.1, 4436 in descending order.\nAnswer: 4436, 3\/7, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -x + 1071940 + 43985909, 45057849 = x + 5*u. Let s = -89557849 + x. Round s to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100131 + 321103113?\nAnswer: 321203310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*t - 3)*(0 + 0 + 1)*(-3*t**3 - 2*t + 2*t) + 7902 - 7902 - 149*t**4 as x + k*t**4 + w*t**2 + r*t**3 + q*t and give k.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1929*d - 1955. Determine t(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)*b**(2\/5)*b*b\/((b**(-1\/3)\/b)\/b)*(b\/b**(3\/2))\/b*b**(-1\/7)*b**(-1\/3)*(b\/(b*((b*b\/b**(1\/2)*b)\/b)\/b))**(19\/5) assuming b is positive.\nAnswer: b**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.132, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/4771 + 190798\/100191. Calculate the common denominator of -1 - 1\/(-54)*-2 and l.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46*56\/4508 - 0)*7*-13*1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 4*x + 5. Let q be o(5). Suppose 4*a + q = 7*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1956*n**2 - 1973*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -73, 5, 25, -2 in ascending order.\nAnswer: -73, -5, -2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*b**4 - 133*b**4 + 140*b**4 + (-597*b**3 + 597*b**3 - 54*b**4)*(-1 + 2 - 3) to w + m*b**2 + l*b**3 + p*b**4 + o*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + 1*((sqrt(288)\/sqrt(9) - sqrt(2)) + (-2 + sqrt(2))*1).\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13876*c**4*h**2 + 3*c**3*h**2 + 210544*h**2 wrt c.\nAnswer: -55504*c**3*h**2 + 9*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 25. Suppose -n = -8*j + 3*j + 4*z, 3*j - 26 = -z. Calculate the greatest common divisor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4487279987 + 60147500906635\/13404. Let u = o + 3\/2234. Find the common denominator of (-4)\/20 - 6\/140*-143 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 360*c + 384. Calculate a(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15*(-18)\/(-4). Suppose 0 = -8*j + z*j + 635. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5389955376 + 0.539. What is q rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183160.\nAnswer: 2, 5, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 748300 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2. Let p(n) = 35215*n**2. Determine p(x(k)).\nAnswer: 140860*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/65 - 69\/30.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let n(c) = -7*c**2 + 3*c. Let o(t) be the first derivative of -16*t**3 + 10*t**2 + 1. Let h(j) = -20*n(j) + 3*o(j). Determine f(h(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 + 6*x. Let c(k) = -58*k**2. Determine f(c(u)).\nAnswer: -13456*u**4 - 348*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1472848 or 27984099\/19?\nAnswer: 1472848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.33 - 30.7. Let i = -1.664 + v. Round i to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3001322112 (base 4) to base 2.\nAnswer: 11000001111010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a - -2b01?\nAnswer: 2c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 18*r + 11*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2580 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 12 - 2)*(-4*b - b + 7*b + (-3 + 3 + 1)*(4*b - 2*b - 3*b) - 11 + 11 - 52*b + 5*b - b + 0*b) to the form j + o*b and give o.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j + 3 - 3 - 9*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.476\nAnswer: 1.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -5 + sqrt(32) - (3 + sqrt(128)).\nAnswer: -8 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r)**17 assuming r is positive.\nAnswer: r**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 13. Let m = 9 + w. Suppose -m = 3*h - 15. Solve -4*l = h*j - 12, -5*j + 4 = -2*l - 2*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208*x + 1190466 - 1190466 + 2*x + 2*x - 2*x - x + 0 + 0 + (2*x - 2 + 2)*(-4 + 5 + 1) - 6*x + 2*x + 2*x + 2*x + 0*x + 0*x.\nAnswer: 213*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, z: 4, j: 1, g: 1, o: 1}. Give prob of picking 1 z and 1 v.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42430 is divided by 252.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 2. Let i(g) = -g**2 + 10*g - 5. Let w be i(7). Suppose 9 = 5*k - w. Suppose k*p = 4*p. Determine f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 2. Let p(w) = 464*w + 580. Determine 290*d(j) + p(j).\nAnswer: -116*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1 + -149*6\/(-2). Let n be (22\/(-6))\/(5\/q*5). Let l = n - -66. Solve 5*c = -20 - l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200\/3 + 578\/3*k**4 + 1972*k**3 + 1160*k + 15818\/3*k**2.\nAnswer: 2*(k + 5)**2*(17*k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 138752 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/46770196 and -9\/298516.\nAnswer: 1730497252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 300 = -5*p + 271, -4*f - 21 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -8*z**3\/3 + 28. Let j(p) be the first derivative of -p**2\/2 - 1. Calculate j(d(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/2145*-11)\/((-2)\/(-2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 62*o + 451. Give w(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/(-35))\/(6\/30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 335 + -0.00104\nAnswer: 334.99896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 9 + 39. Suppose 4*s = d*w - 4, 3*w + 0*w + 2*s = 13. Solve 3*g = -2*j - 19, 3*j = w*g + 2*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8905358 and -67\/7286202.\nAnswer: 80148222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - i - 2*i + (-291*i - 10731 + 10720 - 120*i)*(2 + 1 - 5).\nAnswer: 824*i + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(3*(-1)\/(-3)). Let g = -1 - -3. Find the second derivative of 4*v + 3*v**2 + 0*v**g - 2*v**c - 6*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-1175)*15*40\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2 = -4*g, 5*g + b = -b + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/10 - p**4\/3 - 7*p**3\/6 + 25*p. Let l be s(5). Suppose -l = -5*d + 685. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 38.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, 1, -0.42245?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:46 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46433.2693 rounded to the nearest one hundred?\nAnswer: -46400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224)\/126 - 4\/18. Let n(b) = -b**2 - 2*b - 2. Let a(l) = 15*l**2 + 33*l + 33. What is p*a(v) - 33*n(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 - -160. Let f = -24 - w. Calculate the remainder when 38 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0 - 2. Let u be 3 + -3 + ((-4)\/2 - 1). Put -2, u, q in decreasing order.\nAnswer: q, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 69\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.53 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 991832, 1983450, 2975068, 3966686?\nAnswer: 4958304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 615, 2123, 4513, 7683, 11531, 15955, 20853, 26123?\n\"Answer: -17*y**3 + 543*y**2 - 2*y + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3222*v + 844*v**2 + 1131*v - 843*v**2 as u*v**2 + o + i*v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2. Suppose 3*z - 9 = -0*z, -f = 3*z - 11. Let h(p) = p**2 + 10*p**f - 8*p**2 - p**2. What is u(h(q))?\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*f - 8, 4*f + 1498*b = 1501*b + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -150. Suppose -k*o - 2*o = 102960. What is o rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:33 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 2 - (-620 + 663)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 + 8 = 0. Solve -q + 2 = -c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8389759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose 2*r + 2*r - 18 = -d*w, w - r = 0. What is the lowest common multiple of 6 and w - 0*(-2)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 + 11*t - 15. Let w be y(-7). Let c = -14 + w. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -329455, -5.\nAnswer: -329455, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/9 - 236*n**3\/3 + 7754*n**2\/3 + 916292*n\/9 + 297440\/3 = 0.\nAnswer: -22, -1, 65, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 12*n**2 + 5*n - 48. Give x(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1160236.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + b**2 - 3*b)*((-b + 4*b - 5*b)*(0 - 2 + 0) - 2 - 2*b + 2 - b - 2*b + 2*b + 17 - 3*b - 17) to n*b**2 + j*b**3 + p*b + q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941 smaller than 2732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 140 + 339414?\nAnswer: 339554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxc when three letters picked without replacement from {x: 4, b: 5, c: 5}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -632987 - 1?\nAnswer: -632988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 15500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 573468.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 135. Let b(p) = -3*p + 272. Calculate -2*b(z) - 5*y(z).\nAnswer: -4*z + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 2 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = m - 25, -368*j - 3*m = -367*j - 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1 - 1 - 7*v**2. Let m(z) = -z**2 + 2. Let d(a) = 5*a**2 - 11. Let i(c) = 2*d(c) + 11*m(c). Calculate i(q(x)).\nAnswer: -49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 2. Let p be f(4). Let u be 7 - p*2\/4. Let g(z) = -z**2 + 18*z + 9. Is g(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-110))\/(3276\/(-3010)) - (-8)\/52?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 119 = 3*q. Let k = q - 26. Let p(z) = z**2 - 2*z + 4. What are the prime factors of p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4371 + 4372. Suppose 4 = 3*c - 2*c. Let g(k) = -k + 1. Let h(m) = -8*m + 9. Let i(f) = c*h(f) - 36*g(f). Calculate i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-119161)\/(-14))\/(3\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 10*g + 4. Let w be r(13). Let i = 51 + w. Solve 4*a**2 + 7*a**2 - i*a**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3517.686 weeks?\nAnswer: 2127496492800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 3. Let v = d + 7. Let h = 25 - 18. Solve v*f + 19 = h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 6*s + 2. Suppose -2*q + 6 = -3*q. Let g be b(q). Suppose 2*o = x - 53, 242 = 4*x - 0*x - g*o. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -267, -533, -799, -1065?\n\"Answer: -266*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134194905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -2*y + 10*k, 0 = -4*y + k. Suppose 271 = 5*g - 2*q, -g + 0*q - 3*q + 44 = y. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000783502 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**3 - v**2)*(1369*v - 20982202 + 20982202).\nAnswer: -1369*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490070, 1960551, 4411352, 7842473, 12253914?\nAnswer: 17645675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h + 22 + 6*h - 3*h - 4*h as j*h + l and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1071)\/(-238)*(-188)\/(-9) is divided by 59?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*t - 672. Let m be 1\/(4 - 385\/t). Let g = -2 - m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 179593285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (136 + -14)*2\/1. Let g = 346 - q. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3595600 to the nearest integer?\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13893561091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(33)*-2)\/sqrt(11) + sqrt(3))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10577960.\nAnswer: 2, 5, 67, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/123 + 3668\/1353. Sort 4, 2\/7, f.\nAnswer: 2\/7, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.7 + -13. Let v = h + 1.7. Let z = -2\/61 + -112\/305. Sort z, -1, v.\nAnswer: -1, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, v: 4, z: 4, d: 1, o: 7}. Give prob of sequence do.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(343)*-3 + sqrt(343))*-4)**2.\nAnswer: 21957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**4\/4 + 5*j**2\/2 - 3*j - 1112. Let b(p) = p**2 + p - p - 3 - 5*p. Let f be b(6). Determine y(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - -34. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 5*r - 10 = 2*s, -4*s - 3*r + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/8 - v**5\/20 + v**4\/12 + v**3\/3 + 15*v**2. What are the prime factors of r(-2)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260 - -260.0002054. What is y rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -1 + 0*i - 19*i**3 - 53\/8*i**4 - 3*i**2. What is the derivative of a(v) wrt v?\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 6}. What is prob of sequence nww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27923\/16 + -1745. Which is the closest to -1? (a) d (b) 0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8 + 5*w - 3*w - 3*w + 8 + 29. Let a(c) = -2*c**2. Give v(a(s)).\nAnswer: 2*s**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1497.\nAnswer: -1\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*c - 9, -2*g - 22 + 7 = -5*c. Suppose 0 = n - c*n + 4. Solve 0 = -y + n, 4*j - y - 10 = -6*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(-1*sqrt(5) - sqrt(5))**2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/(-3))\/1)\/(363\/(-1089))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 23123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-20)\/((z\/(z*z*z**(-18\/7)))\/z*z)*z**(-1\/74)\/z*((z\/z**(30\/13))\/z)\/z)**(2\/113) assuming z is positive.\nAnswer: z**(-174361\/380471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 957558 by 6.\nAnswer: 159593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152480, -152481, -152484, -152489?\nAnswer: -152496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1400\/(-12))\/(-7))\/(31\/3627*-39).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-309)\/(-45) + 0 - (-18)\/135. Let w = -4 + x. Put 1, 4, 0, w in increasing order.\nAnswer: 0, 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1621.6 - 1621.3. Let n = 0.12 - 0.19. What is the closest to n in i, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1714, 78, -3 in descending order.\nAnswer: 1714, 78, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1760\/(-104) + ((-515)\/(-65) - 8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1941 divided by 4.\nAnswer: -1941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - u - 7. Let f(b) = -3 + 0*b**2 + 2*b**2 + 5 + 2. Calculate -5*f(l) - 3*i(l).\nAnswer: -l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1361, -3, -1, -102 in descending order.\nAnswer: 1361, -1, -3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -37 (c) -5428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/620 and -113\/2847970?\nAnswer: 5695940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 163224 divided by -4\nAnswer: -40806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 581972 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a factor of 209234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/77)*z**4*z*z*((z*z*(z**(-10)\/z)\/z*z)\/z)\/z**8)**16 assuming z is positive.\nAnswer: z**(-14752\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*f + 6. Let j(i) = i**2 - 35*i**3 + 1 - f*i - 2*i + 33*i**3 + 3*i. Give j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 - 0.3. Let o = 0.02 - 1.82. Let t = o - -2. Which is the second smallest value? (a) -0.3 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q**2 + 2 - 2)*(0*q**2 + q**2 - 2*q**2) + 2*q**4 - 3*q**4 - q**4)*(4*q + 18*q - 7*q).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjyyqyqaaallaleql. What is prob of sequence ql?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 675711202 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhkhhhhhhkh. Give prob of picking 2 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33581005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2035*d**3 + 42*d**2 + 6*d + 9. Let k(n) = 678*n**3 + 12*n**2 + 2*n + 3. Calculate 2*i(b) - 7*k(b).\nAnswer: -676*b**3 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-45)\/(-2)))\/(((-22650)\/151)\/150)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3289 - 1548. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 7*j + 20, 3*q - 2 = -j. Suppose 5*p - 119 = -4*h, q*h = -h - 2*p + 91. Calculate the remainder when h is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22210)\/(-4)*(-83)\/(1245\/(-96000)). Round r to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 37 = -257. Let t = 170 + i. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*o = -17, -4*o + 50 = 5*q + 35. Let m(a) = 15*a**3 + a**2. What is m(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 18 (base 13) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 4 (c) 0 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -32)\/2 - 15336\/426?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/((y*y*y**(-3))\/y)*y*y))**(-2\/109))**(-29\/2) assuming y is positive.\nAnswer: y**(-145\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/5)*c))\/((c\/c**(-8)*c)\/c)*c*c**(-10)*c\/c**14 assuming c is positive.\nAnswer: c**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 5*z + 32. Let q be o(-7). Let s = q - -36. Solve -2 = -3*j - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167123465 - 3?\nAnswer: -167123470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 1 - 4 + 4 + 15. Let h be o(7). What are the prime factors of 19 - -10 - 8\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19316, 38595, 57868, 77135, 96396, 115651?\n\"Answer: -3*p**2 + 19288*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -1\/15*o**4 + 0*o**2 + 0 - 4\/15*o**3 - 11*o. What is t in u(t) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/20528126, -4\/3, -4 in descending order.\nAnswer: 15\/20528126, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1*sqrt(224) + sqrt(224) + sqrt(224))\/sqrt(7) + sqrt(512)*-1 + sqrt(32) - (3 + -5*sqrt(800)))**2)*-5.\nAnswer: -84665 + 2760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) + 132\/4. Calculate the highest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 422*p**2 + 3*p + 11. What is the units digit of b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*q = 0, -33*i - 138 = -9*i + 3*q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3988 + 22.7112. Let z = 8 - -15. Let p = h - z. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 3)*(33*s**3 - 100*s**3 - 51*s**3).\nAnswer: -118*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 792738*n**5 + 355256*n**2?\nAnswer: 47564280*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.964 - -4.036. What is the closest to -5\/6 in -1\/2, s, -1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, w: 2, b: 3, p: 5, a: 3}. What is prob of sequence apb?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**4\/4 + 3*u**2 + 11*u. Let g(i) = 3*i. What is y(g(h))?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 27*k**3 + 0.\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 10 = 0. Suppose 2*m - 25 = x*l, 0*m - 3*m + 26 = 4*l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 244 = 3*o - 0*o, 4*j - 226 = -3*o. Suppose -x + 317 = 3*n, -x - 21 - o = -n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhfhfhhhfffhfhfhfffh. Give prob of picking 4 f.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/2, 0, -10, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:48 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 98. Give r(2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 2*x)*(3*x**2 + 2*x**2 - 3*x**2 - 2*x + 2*x - 2*x**2 - 2 - x**2 + 2 + (x - x + 2*x)*(-1 + x + 1) + x**2 + x**2 - 5*x**2).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10706 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16 = 3*a - 9, 2*y = 5*a - 49. Let l(n) = n - 1. Is 2 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 76825*b**3 - 2*b**2 - 22*b + 22. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 minutes after 5:36 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (2 - -1)) + 2. Suppose n = -0*a + a - 4, 5*l + 200 = -5*a. List the prime factors of l\/(-33)*(-15)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.9 + 23.6. Let p = -0.1 - 0. Put s, 28, p in descending order.\nAnswer: 28, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 14*g**2 - 12*g - 11. Let h be p(13). Suppose 3*u - 5 = -h*u. Which is smaller: u or -2\/243?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6955325 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: Let a(m) = 2*m**3 - m**2 + 8*m - 3. Let i(n) = n**2 - n - 1. Let b = -17463 - -17464. What is b*i(l) - a(l)?\nAnswer: -2*l**3 + 2*l**2 - 9*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6645 - 318?\nAnswer: 6326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -349950.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302511, -605021, -907519, -1209999, -1512455, -1814881?\nAnswer: -2117271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 - -2.54. Let k = s - 1.8. Sort k, -4, 0.3 in descending order.\nAnswer: k, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*-1*(14 + 0). Let v = x - 12. Solve -2 = 4*y + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((14\/3)\/(-7)). Let r be 4\/(-3) + (-147)\/c. Suppose -2*b = 10, 124 = 4*q - 4*b + 44. What is the highest common factor of r and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*t + 6 = 0, -5*t - 20 = -165*q + 160*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 6)*(19*g + 743 - 743 + (-1 - 2 + 4)*(0*g - g - g)) to c*g + j and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 p when four letters picked without replacement from ooopngnkkoond?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*t + 66*t - 102. Suppose l - t*l = -3085. Does 65 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 2 - 2. Suppose 3*u = -6 - 0. Let a(p) = 6*p - 2. Let q(y) = y - 1. Let w(o) = u*q(o) + a(o). Give j(w(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2919688808?\nAnswer: 2, 19, 157, 122347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 - 553 = 52*x + 688 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189922929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 5, v: 3, k: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130010 = -7*s - 3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 3*y)*(-1 - 2 - 1) - 3*y - y + 2*y - 33*y - 21*y - 162*y - 219*y.\nAnswer: -441*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42858299?\nAnswer: 11, 191, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/6, 3\/8, 2\/215, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-20060)*(-1 - (-33860)\/84). Let x = h + 6\/1003. Let m = x + 11\/35. What is the second biggest value in 28, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 - l - 3. Suppose -4*x - g + 12 = -5, -g + 8 = x. Let f be n(x). Solve -2*k - 3*j - 7 - 2 = 0, 0 = -k + f*j + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 4*t = 10*i + 90485, -i + 90489 = -5*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 6, b: 7, p: 1}. Give prob of sequence sp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*i = 4*q - 7070, -3*q - 2*i + 10643 = 0. Let x = -7 - -10. Suppose 8895 = 5*o - x*b + 4*b, 3*b - q = -2*o. Round o to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1365)\/780*8\/(-49)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120.8 + -158. What is k rounded to 0 dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + 1 + -2)*-1*1 - ((sqrt(128) - (0 + sqrt(128))*-1) + sqrt(128) + sqrt(128) - (5 + 0 + sqrt(128)))*4)**2.\nAnswer: -4704*sqrt(2) + 25529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-30))\/((-26)\/(-585)). Solve -15*v + 87 - l = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/8, -2, 2.771, 0.4, 66?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -396*d - 213. Is l(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245697, 245757, 245881, 246075, 246345, 246697, 247137?\nAnswer: 247671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*y = 1077617, 204*s + 2*y + 215513 = 205*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m + 4*x, 4*m = -x + 6*x + 57. What is the remainder when 37 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*t**5 + 2673*t**5 + 507*t**5 - t + t**5 + t + 2*t**5 + t**5 - 4*t**5 + (5*t - 2*t - t)*(-t**4 + 4*t**4 - 5*t**4) - 2*t**5 + 0*t**5 + 0*t**5.\nAnswer: 3216*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156205445.\nAnswer: 5, 59, 7309171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4030 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 + 1286*g**2 + 3415*g + 2976. Give p(-426).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f**(-4\/9)*f)\/(f**(-2\/9)*f*f\/(f*(f*(f*f\/f**2*f)\/f)\/f))*(f**(-12)*f\/f**12)**(-4\/9) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + -19. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89635938 by -71.\nAnswer: -1262478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16149589*b**2 + 6227*b - 17161 wrt b.\nAnswer: 32299178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 8:08 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 364230079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 > 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*o - 3*v - 189, 0 = -o + 3*v + 29. Calculate the remainder when 279 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*h + 32 = -h, -4*o = 3*h. Let x be ((-8750)\/o)\/((-1)\/480). What is x rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1410 and 26\/423?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 504937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1bf (base 16) to base 15\nAnswer: 1ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1584 - 3*l - 2*l + 1584 + 9*l**2. Let s(c) be the third derivative of c**5\/12 - c**4\/8 - 6*c**2. Determine 6*k(r) - 10*s(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 14651.970002 + -14652. Let p = 0.03 + r. Round p to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkynkhknhhkkykyk. What is prob of picking 1 h, 1 k, and 2 y?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.875. Let v = -1.9 + 2. Let l = v + i. What is l rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -38455101?\nAnswer: -38455106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 9) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 7. What is the second smallest value in -9, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423368897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 454 - 476. Sort -2, -49, p, -1.\nAnswer: -49, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 10*k**2 - 3*k - 11. Give c(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*a + 861*a = -99 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13624 divided by -131\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85416 and 2595.\nAnswer: 73884840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 42?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*((-112)\/(-21) - 5). Suppose 0 = -3*k, -5*k = -r*o - 138 + 1258. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 15. Suppose -z*q + 14 = -1. Suppose 13 - 4 = q*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2 - 9*n - 2 + 0. Let g = 3 - 7. Let v(o) = -o**2 + 10*o + 7. Let q be v(10). Let i(r) = -5*r - 2. Calculate g*u(c) + q*i(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - -6*3\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -3.4, 2765 in decreasing order.\nAnswer: 2765, 5, -0.5, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(77))\/sqrt(11).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 21*t = -19*t - 30, t = -3*l + 37. Solve -3*y - l = 2*g, 4*g - 4 = 2*y + 7*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44828129*m**2 + m + 537435499.\nAnswer: 89656258*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5037 - 5040. Sort a, -1\/6, -0.264 in increasing order.\nAnswer: a, -0.264, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5154\/39 - (4 - (-550)\/(-143)). Which is smaller: w or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 13*y**2 + 11*y + 13. Let n be r(12). Suppose -n = m - 5*c - 11, -4*c - 19 = -3*m. Solve 4*a + 2*f = -4, -m*a + 5*f + 0*f = 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u + 2\/3*u**3 + 1\/4*u**4 + 3 - u**2. What is the tens digit of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*u**2 + 17536*u + 78468 = 0. What is u?\nAnswer: -13\/3, 1509\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 68. Let w be t(20). Suppose 5*b - 63 + 13 = -5*p, -b = -2*p + w. Solve 4*u + p + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, 19.955, -2\/59, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -109*j - 4886. List the prime factors of m(-117).\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 15932*w + 47760.\nAnswer: 4*(w + 3)*(w + 3980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 9*c**2 + 532*c - 5 + c**2 + 586*c.\nAnswer: 10*c**2 + 1118*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c**2. Let r(d) = 419*d + 5. Let o(h) = -211*h - 3. Let s(i) = -7*o(i) - 4*r(i). Give s(y(u)).\nAnswer: 1791*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6982709?\nAnswer: 19, 59, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39954\/5 + -7991. Let v = -0.18 + 5.18. Which is the second smallest value? (a) v (b) p (c) 3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-4))\/1*5\/1. Let g(l) = -l - 1. Let d(k) = -11. Let b(c) = d(c) - 3*g(c). Let n(s) = -1 + 7 - 11*s - 1 + 9*s. Calculate w*b(o) + 8*n(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -112255 times 2.1?\nAnswer: -235735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -2 - 1\/3*v**3 + v + 0*v**2. What is the first derivative of h(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 smaller than 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7630*m + 7630*m + 7*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y + y**2)*(-10*y + 4 - 4) + 1166*y**2 - 1166*y**2 - 2324*y**3 in the form c + s*y + f*y**3 + o*y**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 134. Let o = c + 12.5. Put o, 3.2, 2 in descending order.\nAnswer: 3.2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86 - 245*x**4 - 63 + 174 - 3*x + 0*x**3 + 0*x**3 wrt x.\nAnswer: -2940*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 53 - 140 = 3*i, -3*m = -i - 119. Let v = m + -36. Suppose -4*o = -q + 126, 135 = -q + 2*q + v*o. List the prime factors of q.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119 or 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*v + 98 = -0*a, 0 = -4*a - 3*v + 154. Solve 47 = 2*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 9. Let p be z(-8). Let q = p - 4. Which is greater: -8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 20*t**2 - 4*t. Let p be o(6). Let w = -88943\/54 - -1647. What is the common denominator of w and 1\/((-4)\/p*-44)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110010010100 (base 2) to base 9\nAnswer: -28802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0*b**2 + 0*b**4 - 1\/3*b**3 + 0*b**6 - 3*b + 0 + 1\/14*b**7 + 0*b**5. What is the second derivative of d(f) wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - 6.83. Let k = 7 + b. Let a = -3 + 0. Is a less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4954002*x**6 - 158574*x**2 + x - 1 wrt x?\nAnswer: -594480240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -11)*1 + (1716\/(-1001))\/(4\/(-98))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 442 = -2*p, 5*m + 9*p - 5*p - 1060 = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000114158 rounded to seven dps?\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:15 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/(2\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:48 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 4*j + 4*c, -94 = -2*j - c + 139. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 + 2*f - 4. Let n be h(1). What is the third derivative of -8*j**2 + 174*j**n - 6 + 21*j**2 + j**2 wrt j?\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.5 - -12. Which is the nearest to 1\/3? (a) v (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 16.404 in increasing order.\nAnswer: -7, 5, 16.404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -354, -368, -398, -450?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1015)\/580)\/(1\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*n - 9936 = -1650*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 23*f - 62. Determine i, given that 0*i + 136*i**2 + 54*i + 3*i**3 - 109*i**f = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -14 + 142. Let g be (-1)\/3*(17 - d). Suppose 0 = -g*h - 2*x + 54, 5*h - 2*x = 31 + 35. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, x: 11, z: 4}. Give prob of picking 2 t.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150520 and 6390?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 7*t - 1. Let n be h(7). Let d be (2 + (0 - 2))*n. Find v such that -8\/3*v**3 - 2\/3*v**4 - 8\/3*v**2 + d + 0*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.2. Let k = 0.5 + h. Which is the closest to 1? (a) -0.4 (b) -3\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*x + 374*x - 727*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g + 1. Let z(n) = -11*n - 1. Let y(j) = k(j) - z(j). List the prime factors of y(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 3. Let a(v) = 0*v + 3*v - 4*v - 1. Let f = 482 - 476. Let b(j) = f*a(j) + 2*y(j). Let g(h) = 12*h**2. Determine g(b(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106915009.\nAnswer: 7621, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -49*d**3 + 5*d**2 + 4*d + 3. Let x be v(-3). Suppose a - x - 131 = 0. What is a rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 2 + 3*z**2 - 2*z**2 - 2*z**2. Let n be s(-4). What is the units digit of (1 + 1 + -1)*n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3007608 and 39098904?\nAnswer: 39098904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -7 + -3 - 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*r + 13479 = 0, -15 = 8*r - 3*r. List the prime factors of j.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 49. Let u be 0\/((-3)\/(4 - 1)). Is v(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 at most as big as -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**3\/9 + 6*q**2 - 38*q\/3 - 3. Suppose d(v) = 0. What is v?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 10*n + 6. Let z be k(3). Let f(c) be the first derivative of 2*c**2 + z - c**4 + 2*c + 0*c**3 - 2\/5*c**5. Determine w so that f(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 66. Let d be (7 + 242\/6)*u\/2. Suppose -9*j - d + 278 = 0. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5, 159*b - 84 = 155*b + 4*d. Suppose -4*u + 5*o - 10 = u, -4 = -2*o. Let f = 5 + 0. Solve -f*r + b - 7 = u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278 + -275. Solve 2*c = 5*n - 14, 0*c + 3 = q*n - 3*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225055886 + -203804114. What is g rounded to the nearest one million?\nAnswer: -429000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b11 (base 14) to base 16.\nAnswer: -48cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 84, -2, 30, -0.1 in descending order.\nAnswer: 84, 30, 18, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*v**2 - 1)*(-3*v**2 - 2*v**2 + 3*v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 2*k**3 - 91*k + 39*k - k**2 - 1 - 1 + 53*k. Suppose -3 - 1 = 2*w. What is u(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/2 + 3*p**2 - 2*p. Calculate the remainder when -5 + -61*24\/(-12) is divided by a(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.5 (c) -5 (d) -12 (e) -5796\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 + 745*z**3 + 2485*z**2 - 36010*z + 56088 = 0. Calculate z.\nAnswer: -369, -19\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31865836 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b**2 - 407*b + 33. Give a(27).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*p + 53*p**2 - 29*p**2 - 18*p**2 to the form l*p**2 + b + u*p and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 2. Let n(g) = -11*g**2. Calculate p(n(l)).\nAnswer: -605*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.6 + 16. Suppose 5*s = t - 4, 1 + 3 = 2*s + t. Which is the nearest to s? (a) l (b) -4 (c) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/5 - 86346*s**4\/5 + 931392462*s**3\/5 + 12122698874*s**2\/5 = 0. Calculate s.\nAnswer: -13, 0, 21593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.66, 0.18 in descending order.\nAnswer: 0.66, 0.18, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 14*v**2 + 18*v - 27. What is the remainder when 137 is divided by c(13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11365 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.046298 + 2.431402. Let u = i - -0.0523. Let k = u + -3.84. Round k to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863249 + 10*z**3 + 863249 + 189*z**3.\nAnswer: 199*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04815 + 292.95185. Which is greater: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/11))\/((o*o*o*o**(-2)*o)\/o))\/((o**(1\/2)\/o)\/(o*o*o*o**(-1\/4)\/o*o*o)) assuming o is positive.\nAnswer: o**(179\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:58 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**2\/2 + 3*z + 2. Let g be 3*(-8)\/6 + 14. Suppose 14*a - g*a - 20 = 0. Give j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1086.421 days?\nAnswer: 1564446.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/(c**10*c) assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*l + 1715, -5*c - 6*l = -2*l - 1755. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 6, a: 5, j: 1, w: 2, g: 1}. What is prob of sequence wxj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 + 10*n**2 + 41*n - 2. Calculate r(-4).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8*l = -84. Let r(y) = -4*y - 26. List the prime factors of r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.15, -2\/91, -2\/3, -1\/6924?\nAnswer: -1\/6924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (418*s - 417*s - 8*s**2 + 59*s**2)*(-s**3 - s**3 + 0*s**3).\nAnswer: -102*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268784?\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26565 - -41002. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 26435.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 371 + -369. Suppose 3*j + 2*l - 4698 = 0, 5*j - c*l + 0*l - 7830 = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 2*l + 8. Let q(g) = g. Let a(d) = 2*q(d) + v(d). Let o be ((-1)\/3)\/(6\/(-144)). Let w(z) = -z**2 - 3. Calculate o*w(f) + 3*a(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -304218 and -304216 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*t + 8, 4*t - 91 = -99 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o - 12*o = -7*o - 54. Let x(q) be the first derivative of -4 + 23\/3*q**3 + 0*q + 0*q**o. Let d(v) = -2*v**2. Give d(x(p)).\nAnswer: -1058*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 31914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 != -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p - 3*p + (-2 - 2 + 2)*(2*p - 2*p - 2*p) - 3*p - 3*p + 7*p)*(-2*p**2 + 3*p**2 - 2*p**2).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94622*g**2 - 184*g**3 + 94622*g**2)*(0*g + g + g) to i + m*g**2 + x*g + z*g**3 + y*g**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3255*h**3*o**3 - 4*h**2*o**3 + 30*o**3 + 2*o + 712 wrt h.\nAnswer: -9765*h**2*o**3 - 8*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1840.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1092\/(-108)*(-98)\/1274?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*p - 278*p = 14012 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + 2))*-2 + sqrt(1700) + 1 + -3.\nAnswer: 2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448580 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)\/i)\/(i*i\/(i**8\/i)))**48*(i**(-8)*i\/(i**(-7)\/i))**(6\/35) assuming i is positive.\nAnswer: i**(6726\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28126816?\nAnswer: 2, 43, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44759 and 0.2.\nAnswer: -44758.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 + 8?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/4 + 3 + -5. Suppose 0 = 11*g - 12*g + h. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-21)*21\/16*12*2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2782*g**3*o*q - g**2*o*q + 2*g**2*q + 1896*g*o*q - 12*g*o + 2*g*q - g + o*q wrt g?\nAnswer: 16692*g*o*q - 2*o*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o + 19*o = 39*o + 1060 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/8 and -73\/1201206.\nAnswer: 4804824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3 + 3825*i**2 - 15312*i + 15316 = 0.\nAnswer: -3829, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/270 and 7 + -16 - (-97)\/12.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-34\/3))**(26\/7) assuming o is positive.\nAnswer: o**(884\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 5) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 - 15*n**4 - 181*n - 1?\nAnswer: 40*n**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -957*p**3 + 17*p**2 + 13*p + 94. Let i be m(14). What is i rounded to the nearest 10000?\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 24*h - 139. What is the units digit of k(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*n)*(-3*n + 3*n - n) + 1 + 1 + 6926*n**2 - 6611*n**2 in the form u*n + y*n**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/3)\/3 - -163. Suppose 5*s - 7*s = -y. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**4\/8 - a**3\/6 - 3*a**2. Is 4 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-137)\/(-959) + 107084\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-110)\/15)\/(-11)*-42. Which is bigger: -138\/5 or c?\nAnswer: -138\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308910 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**42*(g**1*g)\/g*g*g*g**(-2\/25)*g*(g\/(g*g*(g*g**6*g)\/g*g))\/g assuming g is positive.\nAnswer: g**(923\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320)*-2 + 5 - -6*-2*sqrt(320))**2.\nAnswer: -1040*sqrt(5) + 54105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + (7 - 17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1317 - -2892. What is the highest common divisor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 19*r**2 + 62*r - 96. What are the prime factors of f(20)?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o + o**3 + 2*o**2 - 2*o**4 - 8*o - 4*o - 2*o - 93 in the form d*o**3 + f*o**2 + u*o**4 + w*o + r and give r.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((122*-6)\/2)\/(4\/10). Let t = 1456 + o. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*i - 4 = 0, 18 = -2*p + 386929*i - 386933*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(144)*1 + sqrt(144) - sqrt(144)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 54. Let c(f) = -f**3 + 21*f**2 + 48*f - 54. Let r be c(23). Let s = n - r. Is -12 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.47293 hours in minutes?\nAnswer: 148.3758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -m - 0*m, 4*m + d - 17 = 0. Let s(l) = l**3 + 7*l**2 + 11*l + 6. Let p be s(-4). Calculate the greatest common divisor of m and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*4\/12*-1. Suppose x = -3*o + 2*o + 22. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 4. Let g be d(-9). Calculate the least common multiple of g\/(-91) - (-576)\/26 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2821, -22991, -77723, -184291, -359969, -622031?\nAnswer: -987751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 10. Suppose 0 = d*j + 4 + 1. Let p(x) = -258*x + 1. Is p(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61873 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2139048, -8556140, -19251294, -34224510, -53475788?\n\"Answer: -2139031*c**2 + c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m - m + (7*m - m - m)*(349 - 191*m - 349))*(-2*m**2 - m + m).\nAnswer: 1914*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 14*w. Let k be i(-14). Which is the closest to -0.61? (a) k (b) 0.01 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1125 - 12381\/11. Which is the smallest value? (a) -4\/5 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10132 + -10132. Solve -25*y + 4 + 21 = q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 24. Let y = -46 - d. Let x be 30*(-4)\/10*-2. Solve 0 = -5*p + x - y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icccvyyiey. Give prob of sequence evcy.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18656, -18673, -18690, -18707, -18724, -18741?\nAnswer: -18758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {b: 2, l: 2, j: 7}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17 + 31 - 10 - 7*y. Let m be r(-2). Solve 4*d + 2 = 2*j + m, 5*d + 2*j = 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 1, -21, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.18145 decades to months.\nAnswer: 981.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**3 - 4*k**2 + 9*k - 6. Let t(x) = 2*x**3. Give -c(b) + 2*t(b).\nAnswer: -2*b**3 + 4*b**2 - 9*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73c0 + -1?\nAnswer: 73bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1374\/90*(-4)\/8*6. Let i = -453\/10 - o. What is the biggest value in i, 0, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (-2*sqrt(1331)*-6 - sqrt(1331)))*1*5 + 4.\nAnswer: -550*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 3\/7, 0.5, -6\/5 in increasing order.\nAnswer: -6\/5, 3\/7, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-1 - (5 + -6)). What is the tens digit of (-2 + (-46)\/b)*(1 - -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6403 + 6392. Let m(p) = 1. Let z(n) = 3*n + 2. Let j(t) = m(t) - z(t). Let f(o) = 9*o + 3. Determine v*j(y) - 4*f(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 36*q - 11488 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*j + 4180, 4*b + 5*j - 2187 = 1989. Suppose -10*t = -11*t + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330697901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1877 - 1013 = -578*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3944400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9747529 or 9747530?\nAnswer: 9747530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-29 + (16 - (13 - 12)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 + 4*h**4 - 2*h**4 + h**4 - 4*h + 4*h + (-3*h + 4*h - 4*h)*(h**3 - h**3 - h**3).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*t - 2. Let a(o) be the second derivative of o**4\/12 - 4*o**3\/3 + 3*o**2 - 3*o - 69. What is a(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 times 2?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1010 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128678.47 and -3.\nAnswer: -386035.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -23. Let t(q) = 22 - 53 - a*q + 27. What is t(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 = -3*z, 5*z - 32 + 7 = -5*j. Suppose 2*t = t - 3*f + 441, -3*f = -t + 435. Suppose 4*c + 0*v - t = -2*v, j*c = -3*v + 209. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 6 = 0. What is the second derivative of 2*y**2 + 2*y + 4*y**q - 3*y**2 + y**2 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v + 16*v**2 + 0*v**2 + 2 - 2*v**2 - 19*v to p*v + a + m*v**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12409650 by -550.\nAnswer: 22563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159542 greater than 2074065\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68805, 69018, 69369, 69852, 70461, 71190, 72033, 72984?\n\"Answer: -n**3 + 75*n**2 - 5*n + 68736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*w - 22 = 0, -3 = -d - 3*w + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 229?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97021 + -21061. Round a to the nearest 1000.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/176 and ((-98)\/(-16))\/((-34)\/(-4)).\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 2.8. Let s = 2.59999868 - u. What is s rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**2 + 206140*a + 2124684980 = 0.\nAnswer: -20614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 13 = 3. Let b be a\/5 - 52\/(-20). Suppose 0 = 3*o - 0*w - 3*w + 3, 0 = -b*w - 9. Let y(j) = j**3 + 6*j**2 + 7*j + 4. Give y(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 3946116?\nAnswer: 3946131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.8 + -27. What is the second biggest value in b, 0, -1.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let q(l) be the first derivative of -7\/2*l**2 + 2*l + 63. Let n(m) = -m + 1. Give p*q(h) - 4*n(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-6))\/(49\/(-35))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 6 - 20 = 0. Let r be 6 - (-4)\/8*v. Solve -4*m - 2 = -r*b + 29, 0 = 3*b - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 7. Let k be d(-7). Let w(r) = -7*r - r**2 - 9 + 10*r**2 - r**3 + 0*r**3 + k. What are the prime factors of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*d + 2*a - 15, -2*d + 7 = -a. What is the remainder when 6 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**3 + 5*k**2 - 4*k + k + 0*k**3. Suppose d = -4*d + 11*d. Let h(o) = 0*o**3 + 18*o**2 - 3*o + d*o**3 - 14*o**2 + 4*o**3. Give 4*h(p) - 3*m(p).\nAnswer: p**3 + p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*k*x**2 + 6*c + 406*k**2*x - 3052594*k**2 + 4621*k*x**2 wrt x.\nAnswer: -4*c*k*x + 406*k**2 + 9242*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - -2) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 12313120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*0.036.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -407567000 to the nearest 1000000.\nAnswer: -408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 4*q**2 + 34*q - 115. Calculate y(4).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 9 - 7. Let y(r) be the second derivative of -r**5\/20 - 3*r**4\/4 - 4*r**3\/3 + r**2 - 2*r. Calculate the lowest common multiple of y(m) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/(-1 + -2))\/2. Suppose 2*o + 10 = s*o. What is the units digit of (3 + o)*3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18969940?\nAnswer: 2, 5, 11, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-21) + (2 - 3). Let d be (-2)\/(-8) + (-19)\/12. Let z = 0 + -3. Which is the smallest value? (a) z (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) 0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (15\/6 - 3)*-4 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*x + 39*x - 3450 - 10196 = 13730 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/144*-4)\/(10\/12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -30. What is the common denominator of -2\/5 and (2\/p)\/(3\/(-150))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 483 and 6.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2359201374 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23*-0.60783\nAnswer: -13.98009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*n**2 + 1523*n**2 - 504*n**2 - 509*n**2 + 9*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3\/w)\/(w\/w**(4\/3)))**(-1\/31)\/((w**(-1)*w**(-3))\/(w**(-1\/3)\/(w**5*w))) assuming w is positive.\nAnswer: w**(-224\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/28 and 11\/214564.\nAnswer: 214564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -2*j. Put j, 3, 4 in descending order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -2.8. Let f = w - -1.8. Let g = -7.6 + 8. Which is greater: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 502 and 206573.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) 1\/9 (c) 149 (d) -5 (e) -2\/5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*x + 952 = 186*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x - 54. Let l be g(-8). Let z(v) = 8*v**2 - 16*v**2 + 3*v**l + 0*v**2. Let a(h) = -2*h**2 - 2*h. What is z(a(i))?\nAnswer: -20*i**4 - 40*i**3 - 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 4\/3457, 1, -2?\nAnswer: 4\/3457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:10 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 11*c**2 + 10*c + 79. What is i(11)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 45*b**4 + 42*b**3 - 828*b**2 - 216*b + 2592 = 0. Calculate b.\nAnswer: -12, -6, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -61, -55, -53?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/51408*68)\/(-1 + (-15)\/(-14)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 - 12 = 5*s, -5*s + 5*r - 15 = 0. Let j be 3\/(-20) - (s - 9\/(-4)). Sort 0.1, -28, j in descending order.\nAnswer: 0.1, j, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, w: 2, x: 2}. Give prob of picking 1 w and 2 a.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerrewwrrrr. What is prob of sequence rwrw?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 3*v**2 + v - 11. Let g be a(4). Solve -c = -2*h + g, -3*c - 20 = -5*h + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -18.962. What is h rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 + 4)*(-3)\/3)\/(-291 - -292). Sort 0.5, l, -0.083, -9.\nAnswer: -9, l, -0.083, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.247 and 11.99?\nAnswer: 14.95153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1444, -2863, -4294, -5743, -7216?\n\"Answer: -w**3 - 1412*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.111 + -0.489. What is z rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:12 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 13. Let v be y(6). Let p = -33 - -54. Let d(t) = -p*t + 10*t + 12*t + v. Determine d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15885367*d**3*v**3 - 5*d**3*z - 86*d**2*v**3*z - 16*d*v**3*z + 7201*d*v*z wrt d?\nAnswer: -95312202*v**3 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ggfggtggg?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 129, 224 in decreasing order.\nAnswer: 224, 129, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 18*n**2 - n - 4. Let q be j(-18). Suppose -q*d = -4*d - 280. Suppose -d*s + 3 = -31*s. Put s, 3, 4 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.824243*0.2\nAnswer: -0.3648486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1454 divide 31352602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 29. Solve s = -a + 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*k + 532. Find the common denominator of (50\/40 - 0)*(-146)\/105 and 195\/k*(-20)\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172403\/4 less than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:24 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007616875 and 1730.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (13 + -18 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (70\/12)\/((-2530)\/(-759))*-2\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759 is divided by 291.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -62*o + 9. Let s(j) = -63*j + 8. Determine 5*p(r) - 6*s(r).\nAnswer: 68*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4037904 or -68644362\/17?\nAnswer: -4037904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*g - 7 = i + 120*g - 264*g, -24*i = -2*g + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083792549 to the nearest integer?\nAnswer: 32921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/9, 4\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s + 8. Let f(j) = -j + 1. Let n(p) = 24*f(p) - 3*l(p). Let b(t) be the third derivative of t**4\/4 - 96*t**2. Calculate n(b(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o - 43. Let c = 31 - 75. Let m = c + 23. What is the units digit of x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -50*x - 23. Let l(u) = 25*u + 11. Let c(s) = 6*k(s) + 13*l(s). Let a be c(-3). Let r be (0 + -5)*42\/a. Solve -2*h - 7 = -r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 985762?\nAnswer: 985762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/40 - 7*h**4\/24 + h**3 - 9. Let d(w) be the third derivative of g(w). Let n(a) = 2*a - 6. Calculate 4*d(u) - 5*n(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0617798 rounded to 3 decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 2. Let y be ((-4)\/g)\/((-72)\/40). What is the third smallest value in 2\/9, 0.01, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - p**2 + 2*p**2 + 7*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*z - 78. Suppose -33*q + z*q = -189. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 13*k**2 + 10*k + 30. Let y be b(12). Let c be (-3 - -9)\/(4\/y). Let q(a) = c - 26*a + 27*a - 1. Let z(n) = -n - 7. Give -6*q(g) - 7*z(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 578 and 18.6.\nAnswer: 596.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 1235*g**2 - 4945*g + 77. What is b(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1191 divide 5502420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*1 + 3)**2*-2.\nAnswer: -2124 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 75?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b + 40 + 25 = 0. Sort 4, 5, b, -18, 3 in descending order.\nAnswer: 5, 4, 3, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 53*z**7\/42 - z**3 - 4*z**2 - 79*z. Find the second derivative of o(u) wrt u.\nAnswer: 1060*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -13 + 3 + -6 + -4 + (-64 - -3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -62. Let o(u) = -2*u - 24. Let x be o(z). Suppose 5*y = 0, -2*p + x*y + y + 94 = 0. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 4*g**4 - 1 - g**4 - 4*g + g**2 + g to i*g**2 + q*g + t*g**3 + w + u*g**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 1152 = 45*i. Let d be i\/(-7) + 5 + 22\/(-42). Which is the nearest to -2? (a) 1 (b) d (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153016153 to the power of 1\/2, to the nearest integer?\nAnswer: 12370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -9, 3*b - 28*p + 26*p = 12. Let a = -0.4 - -0.2. Sort b, -0.4, 11, a in descending order.\nAnswer: 11, b, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {r: 1, d: 1, x: 13}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyyvuruyyvvuyrpryqr. What is prob of picking 1 u and 1 q?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfgfmrrrrflrmd. Give prob of picking 1 g, 1 l, and 1 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0791 and 29.67.\nAnswer: 2.346897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 11, 0.16 in increasing order.\nAnswer: -1, 0.16, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 4, 2, -2908, -4 in decreasing order.\nAnswer: 4, 2, -1, -4, -8, -2908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 18 = -44*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 383*r - 3. Let w(n) = 4*n - 1. Determine p(k) - 10*w(k).\nAnswer: -2*k**2 + 343*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 2*d. What is the units digit of h(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75.00000175 + -75. What is m rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((5 - 11) + 5) - -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 155*j - 4370. Give v(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**4 + 218*z**3 + 800*z**2 - 384*z.\nAnswer: 2*z*(z + 8)**2*(7*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, -0.3, -2\/295, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + 0 + 1*sqrt(1300))**2.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 14*n - 15*n, r = -5*n + 3322. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -184811, 3 in increasing order.\nAnswer: -184811, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160021089493\/49603100 + 8\/496031. Let n = u - -3226. Is n greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25354514897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -352*k + 357*k - 255. Let l(t) = -2*t + 3. Calculate the remainder when k is divided by l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 8. Let f be w(-4). Suppose -l + 3*i + 1 = 0, 0*i + 5 = 5*l + 2*i. Calculate the least common multiple of l and f\/18 + 356\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**2\/7 - 72*h\/7 - 75\/7 = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1216) + 2)*4 + 4)**2.\nAnswer: 576*sqrt(19) + 19537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*(s**(-16)*s*s)\/s)\/s)*s**(-2\/5)*s assuming s is positive.\nAnswer: s**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 916 - 914.75. Let t = g + -0.85. Let n = 11 + -16. What is the closest to 0.2 in n, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -20*t - 4*t. Is (-3808)\/(-51) - t\/3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 1731*r**2\/4 + 54195*r\/2 - 77418.\nAnswer: 3*(r - 506)*(r - 68)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1906, -1909, -1924, -1951, -1990, -2041?\n\"Answer: -6*s**2 + 15*s - 1915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84391 divided by -4?\nAnswer: 84391\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1178632 + -772232. Suppose 4*m - 12*m - z = 0. Round m to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1251 + 7532\/16263. Let f = 1 + -1. Is f not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 3*d = 12, -5*g = 2*d + 220 - 192 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -828524 divided by 19268?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 19*k**2 - 68*k + 13. What is the remainder when 151 is divided by u(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*1*48\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39424 and 458752?\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -18. Let v = -14 + p. Let x = v - -12. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/216 and 149\/5160.\nAnswer: 46440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4236.1 + -4041. Let z = x + -195. Is z <= 4.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-76)\/19 - (-2 - 0). Suppose 0*t = 4*t - 16. Solve -a = -d*a + j + 2, 0 = -3*a + t*j + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.279, 2\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03591 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20537)\/88 - 12\/(-32))*-1 + 7. Solve -7*r = 33*r + u for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -174, -581, -1358, -2625, -4502, -7109?\nAnswer: -10566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 4. Suppose 4*u - 10 = -2. Suppose u*i - 7*i - 25 = 0. Give a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*q = -3, 6*x + 12 = 2*x + 4*q. Is (-5 - (-110)\/15)\/(x\/(-207)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3266*p + 3264*p + 16 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -713 and 4.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j. Let y(s) = -21 - 26 - 7*s**2 + 53*s**2 + 47. Determine d(y(q)).\nAnswer: 184*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 - 3*l + 0*l - 12*l**2 - 3*l**3 - 6*l**2. Let q(z) = z**2 + z. What is a(v) + 5*q(v)?\nAnswer: -3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1142426665777 + 1378.\nAnswer: -1142426664399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5422 + 7843.\nAnswer: 13265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/42*10\/(50\/135))\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.6 (b) 1\/10 (c) 255 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -117 + 1296*a + 4\/3*a**3 - 72*a**2. Let j(m) = 0. Calculate m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 1. Let q(u) = 21*u**2 + 6. Let t(v) = 5*q(v) - 24*r(v). What is the first derivative of t(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4446.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134*t + 11?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -3 - (-58 - -42 - 14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*t + 3*t - 8, -3*v - 2*t - 10 = 0. Let k = 9 - v. Calculate the greatest common divisor of k and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 24*s. Let l(c) = -7 + 32*c**2 - 80*c**2 + 20*c**2 + 27*c**2. What is v(l(m))?\nAnswer: -24*m**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*w**2 - 704*w**2 + 47911*w - 47943*w + 1424*w**2.\nAnswer: -2*w**2 - 32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 9\/(-6)*144. Let y be (-60 - -58) + 6 + 1. What is the greatest common divisor of y and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, e: 1, t: 3, z: 3}. Give prob of picking 1 u and 3 z.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193\/5 - -38. Let l = 0.43 - -0.07. Suppose -2*i + 5 = -3. Which is the smallest value? (a) l (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -17*r - 7*r + 0 + 15*r - 2 + 8*r. Let n(m) = m**3 + 7*m**2 + 5*m - 12. Let c be n(-6). Give s(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 643.9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:33 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 - 209148660*x + 3645263498316300 = 0.\nAnswer: 34858110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 - 18*g**2 - 6*g + 8. Let i(c) = -9*c**3 + 27*c**2 + 9*c - 13. Let n(d) = 7*f(d) + 5*i(d). Factor n(s).\nAnswer: -3*(s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -10305.769.\nAnswer: -30917.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6469826, -12939656, -19409486, -25879316, -32349146?\nAnswer: -38818976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3541328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2375, 2382, 2387, 2390, 2391, 2390?\n\"Answer: -o**2 + 10*o + 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88232.15 millilitres?\nAnswer: 88.23215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -81. Let i be (12\/(-10))\/(6\/k). Solve 4*s + i = 7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192 - -287. Suppose 10*v - 565 = s. Calculate the remainder when v is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 505, 492, 483, 484, 501, 540, 607?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2, 7, 4, -19, -74?\n\"Answer: -2*d**3 + 8*d**2 - 5*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 926294212*j**4 + 8164*j**2 + 45*j + 35 wrt j.\nAnswer: 22231061088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 355, -3, 5 in descending order.\nAnswer: 355, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvlvvvvlvlvlvvvvvvl. Give prob of picking 3 l.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 = -5*d + 8*d, -d = 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 89428494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*y + 15, 0*x + 5*y = 4*x - 12. What is the third derivative of t**3 + t**3 + x*t**2 - 6*t**3 + 0*t**3 wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 267.\nAnswer: 8.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Let j be -2 + 4 + 7\/1. Suppose 2*s + j = -1. Put -4, i, s in decreasing order.\nAnswer: i, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-190)\/(-35) + (-12)\/28. Suppose 5*k = -4*j + 655, -t*j - 4*k + 812 = -0*j. Calculate the highest common divisor of 32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331513 is divided by 165659.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222 + 221.6. Let g = -1 + -1. What is the closest to g in -4, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -394 + 397. Solve 20 = a*u - 5*j, 3*j = 3*u - j - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -3*n**5 - n**3\/6 + 9*n. Let q be s(-1). Suppose -4*m + q - 17 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b1316 (base 12) to base 6\nAnswer: 32534030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 - (29 - -119 - 53).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12506, -73 in increasing order.\nAnswer: -73, -5, 12506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 156, 210, 248, 270, 276, 266?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42979?\nAnswer: 42979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (9 - 11) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*v - 32*v + 122*v - 33*v + 2*v**3 - 36*v - 10*v**2.\nAnswer: 2*v*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-2 - 1) + -4. Suppose -5*r + 15 + t = 0. Suppose r*d + 36 - 12 = 5*c, 4*d = -12. Solve c*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 3611.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*k + 61 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:51 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*t + 2*t**4 - 3\/2*t**3 - 5\/2*t**2 + 1\/2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqyd when four letters picked without replacement from qyygdbuqyuuggd.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250512*v**3 + 90*v**2 + 37045100 wrt v?\nAnswer: 751536*v**2 + 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/136 and -55\/391.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:19 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 54*y - 59*y. List the prime factors of (-6)\/y*(-1186)\/(-3).\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322003102 (base 4) in base 5?\nAnswer: 30102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/339 greater than or equal to 135\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*-4)\/sqrt(4))**2 + sqrt(495)\/sqrt(5).\nAnswer: 3*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 3*w - 4*w. Suppose -86*s = -77*s - 27. Suppose s*j = 46 + w. What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31504 is divided by 485?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -833 (c) 4 (d) 0 (e) -2\/7 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2. Let u be n(-1). Suppose -2*m = a - u, 0 = a - m - m - 7. Calculate the highest common factor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138419 = -41*p + 704096. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 1. Solve 5*q + 15 = 4*c + 50, -3*q = 3*c + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/17 - -45\/119. Let t be (-2478)\/(((-2)\/4)\/(4\/54)). Let x = t - 367. What is the biggest value in d, 0, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 - 7*v**2 - v. Let b(i) = -i**2. Let c(w) = -6*b(w) + r(w). Let f be c(-1). Factor -2*h**f + 3*h**3 + h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:15 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1944320 from -193793.\nAnswer: -2138113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*h**3 + 7*h**2 - 1088*h - 1176032.\nAnswer: 48*h**2 + 14*h - 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*f**2 - 393*f**2 - 293*f**2.\nAnswer: -955*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -364808.\nAnswer: 364808.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 434 by 2.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3368 divided by -1?\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(24\/20)\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*n + 55*n - 1440 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r - 16. Let g(u) = -12*u - 32. Let a(d) = -3*g(d) + 5*q(d). Calculate a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63857.\nAnswer: 63857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*n**2 + n**3 + 14*n - 31*n**2 - 3*n**3 to the form m*n + w*n**3 + u + t*n**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/375*(-12948)\/11869)\/((-146)\/5)?\nAnswer: -2\/365","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 23. Let c = -754.93 - -764. Let k = c + a. What is k rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7.2. Suppose 3*s - 13 = -4*k, k + 0*k = 2*s + 6. What is the second biggest value in k, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6202593 is divided by 13876.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1333 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 1. Suppose -l = 2*l + 21. Let w = l - -8. Let a be d(w). Which is smaller: -4 or a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2420005414 - -5?\nAnswer: 2420005423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + 36. Determine l(-21).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 6 = -5*v + 1, 33 = 4*v - 5*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - ((2 + sqrt(2299))*-4 + sqrt(2299) - sqrt(2299))) + 4)**2 - (sqrt(171) + sqrt(171)*-2 + 0 + -1)**2.\nAnswer: 1314*sqrt(19) + 57447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 7*f + f)*(355*f**4 + 97600*f**2 - 97600*f**2).\nAnswer: 1420*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v - 3. Let m be i(-1). Suppose -y = -5 + m. Let k = -2 - -3. Calculate the lowest common multiple of y and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 8. Let i = -2 - p. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615117 and 1963599.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 4*r + 3, 3*r - 38 = -5*s. Let w = -286 + 276. Let q be 2\/w + (-84)\/(-20). Solve s*h = q*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*v - 55, -5*v - 2*n + 26 + 8 = 0. Let b = -4 + v. Suppose -6*w = 23*w + 12*w. Solve -m + 2*m - b = w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 2. Let b be q(-6). Suppose 0 = -3*v + v + b. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1444099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 402 = -o, -7*u = -2*o - 4*u + 792. Suppose 355 = 5*g - o. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 927.\nAnswer: 55.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 1\/2*k**6 + 0*k + 0*k**4 + 0*k**5 + 47 - 24*k**2 + 2\/3*k**3. What is the second derivative of t(n) wrt n?\nAnswer: 60*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -4\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**5 + 2*b**2 - 2*b**2 + (-3 - 4 + 4)*(13 - 12 + 10)*(-b**5 - 3*b**4 + 3*b**4).\nAnswer: 24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(14268\/(-20))\/41.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44 - -1)*-3 - -3. Suppose -x = -2*z + 4*z. What is the common denominator of ((6\/2)\/z)\/(-1) and 69\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k + 2. Let t be 46\/8 + (-2)\/(-8). Suppose 0 = 5*q + 3*m - 29, q - t*q + 17 = -m. Does 8 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590285*d**2*v**3 - 3*d**2*v**2 - 3*d**2*v + 612*d**2 - 4*v**2 wrt v?\nAnswer: -3541710*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24708472.\nAnswer: 2, 3088559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + (1 + -2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 37*g - 4. Suppose s - 39*r + 37*r - 4 = 0, -4*s - 2 = -2*r. What is k(s)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 4. Let d be c(-4). Suppose 3*r + d = 0, 4*o - 20 = -0*r + r. Solve z - 1 = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40896475 divided by 85\nAnswer: -481135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -5)\/((-44)\/1243) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6677456 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 535638480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431555 - 431527 = -14*f. Let b = 0.01 + -5.01. Sort b, f, -3\/13 in increasing order.\nAnswer: b, f, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295148 and 512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:37 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/19 - 84*g**2\/19 + 2*g\/19 + 84\/19.\nAnswer: -2*(g - 1)*(g + 1)*(g + 42)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = -3*u + 57. Suppose v = 2*v - 5*l - 259, 5*v + u*l = 1435. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b - 12. Let k be n(3). Let j(o) = -o**3 - 7*o**2 - 14*o - 8. Let s be j(k). What is the highest common factor of s and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22111112 (base 3) in base 15?\nAnswer: 1c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4146, -8291, -12436?\nAnswer: -16581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 - 2)*(7*q - 12*q + 7*q) to n + y*q and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157917.\nAnswer: 3, 52639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47935130.\nAnswer: 2, 5, 4793513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 32274 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o - 124. Let k be r(-13). Solve k = 3*v, -2*x + 4*v + 8 = 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 7*w - 3*w)*(1350*w + 271*w + 474*w + 468*w) in the form n + g*w**2 + d*w and give g.\nAnswer: -28193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 11. Let g(c) = c**2 - c + 10. Let j(z) = 6*g(z) - 5*s(z). Let h be j(5). Determine b, given that 0 - 1\/4*b**3 + h*b + 0*b**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80108683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 11. Suppose s - 1078 = -4*v, 0 = 2*v - 4*s - 248 - 282. Let a = -274 + v. Determine q(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 483 + 15 = w, y - w - 488 = 0. Suppose 4*s - 2*o + 498 = 6*s, 0 = 2*s - 3*o - y. What is the highest common factor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(10\/45 - (-43)\/(-72)). Let d be -2*k\/(-48)*(0 + -333). Which is smaller: d or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 2218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24745636 equal to 470167068\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -110.49. Let n = -0.19 - u. Let h = -533\/9 - -59. What is the third smallest value in n, -2, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 2*y + 1. Let a be d(-2). Let z be 1*-2 + 30 - 2. Calculate the highest common factor of z and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-1)\/12). Let n = -216 + 220. What is the second derivative of z + 18 - 4*z - 6*z**n - k wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8048478 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = 0. Suppose g*q = -5*q + 10. Solve -q*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:54 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011011100 - 1111100000?\nAnswer: -11100010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*j + 2016 = 378 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -86*y - 25. Let a(j) = -43*j - 13. Let i(h) = -11*a(h) + 6*f(h). Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/36 in -555, -107, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 114. Let a be d(-30). Suppose -8*p + a = 212. Let q(k) = k**3 + k. Let u(t) = -3*t**3 - 6*t. What is p*u(l) - 5*q(l)?\nAnswer: -2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-32))\/3 - 2872\/64. What is the nearest to 2 in -3, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let z be (-40)\/(-18) - 18\/81. Let m(w) = w. Let b be m(z). Let i(y) = 3*y + y - 2 + b. Calculate i(n(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457005883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/8 + -5 + 7. Let h = 2.1 - 2. Suppose -4*d - 4*m + 8 = 0, 7 = d - 10*m + 6*m. Which is the closest to h? (a) d (b) g (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 90 - 310. Let z(j) = -5*j + 2. Let d be z(-2). What is the tens digit of d\/b + (-136)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(15)*2)\/(-4*1*sqrt(3)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*v - 829*v - 1616 = -398*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093792 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3032 divided by -5\nAnswer: 3032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 - 22816*l - 388450 = 0.\nAnswer: -17, 11425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14514383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -0*z. Let r(u) = -u**3 - 15*u**2 - 16*u - 14. Let n be r(-14). Is 3\/9*(n + z) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 85, -2\/5, 4\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146682940*b**4 - 661*b**2 - 233*b + 13.\nAnswer: 3520390560*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(1568\/(-2478)) - (-6)\/(-21) and 20\/147.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 7, l: 1, n: 5, f: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 103 + 20 = -5*v, -4*v = -3*w - 66. Suppose 1 = 2*o - v. Calculate the remainder when (2\/2)\/(1\/31) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565995952 to the power of 1\/2, to the nearest integer?\nAnswer: 23791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4844259t in kilograms?\nAnswer: 484.4259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 978.4164 millilitres?\nAnswer: 0.9784164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 10*z**2 - 20*z - 167. Let f(s) = 2*s**3 + 8*s**2 - 16*s - 167. What is 5*f(t) - 4*r(t)?\nAnswer: 2*t**3 - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 6 - (-23 - -26).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*k**2 + 6*k**2 + 72*k + 27*k**2 to a*k**2 + d + r*k and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -692*j**2 + 3*j + 94 wrt j.\nAnswer: -1384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 = -47. Suppose -5*l = 4*q - 47, -4*q - 8*l + n = -9*l. Calculate the lowest common multiple of 3 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*s = -3566 + 956. Solve -40*r = -s*r - 66 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/84 and 31\/80370177.\nAnswer: 2250364956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70 - 2 - (4 - 1). Is 128271\/s - 2\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and 0.4.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*n = 27, 3*h + 2*n = -h + 20. Suppose 0 = -4*y + 62 + 46. Let 0 - y*f**2 + 18*f - h + 4 = 0. What is f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6605 is divided by 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(4\/(-6864)*-11). Is (-179982)\/q - (-4)\/(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -87. Let b = 119 - t. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58251 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000010001 (base 2) in base 10?\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10273 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/7)\/((-18)\/14). Let h = -22.2 - -22. Sort 0.4, t, h.\nAnswer: h, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -10 + -31 + 42 - 9) + -14\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + -312?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*s**4 - 22 + 5*s**3 - 2*s**2 + 9 - 3*s + 14 + 29*s**4 as c*s + f*s**2 + q*s**4 + b*s**3 + g and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 297065 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 5*x - 17, -2*x = -4*i - 22. Suppose -f + k - 8 + 13 = 0, 2*k = x*f - 13. Is f greater than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10370295?\nAnswer: 3, 5, 13, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 1\/7 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Suppose -v*w = -s - 0*s + 22, 15 = -3*w. Does 11 divide -1*1\/(s\/51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (6 - 9) - (-4 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -494 + 516. What is the greatest common divisor of y and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 5, i: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 9*s - 6. Let u be g(-2). Determine p so that 6*p**5 - 8*p**4 - 12*p**3 + u*p**3 - 3*p**5 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 l when four letters picked without replacement from lllellulel.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 + 1800*u**3 - 60138*u**2 - 356860*u + 415200 = 0. Calculate u.\nAnswer: -6, 1, 40, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176*23\/552)\/(8\/(-42))*-2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -256\nAnswer: -5\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212.7498 + -179.684. Let n = v - 33. Let h = -0.065799399 + n. Round h to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 1615.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -2\/107, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 909139.4 hours?\nAnswer: 3272901840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r + 7. List the prime factors of v(5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281.7 + -285. Which is the third biggest value? (a) 1 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -3)\/(-24)*-3. Let b be (-2)\/9 + 74\/90. What is the smallest value in w, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.5. Let z = v + 5. Let c = -4 + z. What is the nearest to c in 5, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*c - 7, 0 = y + 5*c + 8 + 7. Let x = -8 + y. What is the lowest common multiple of 4 and 2*(x\/6 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 1. Let d(a) = 5*a - 6. Let p be ((-6)\/4)\/(6\/(-16)). Let c(u) = p*q(u) - d(u). Let n be c(-9). Solve 16 = 4*v - v - 2*z, n = 3*v - z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/1820 and -89\/20.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-6 - -12))*(-2)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = -n + 2*w, 0 = -5*n + 4*w - 8. Let k be (-4)\/(-1) + (-1)\/(-4) + (-4)\/16. Solve n = k*a - 3*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 + 652 - 1639 + 329 + 658.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 13, l: 3, x: 2}. Give prob of sequence ssl.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)**36\/(((k*k*k*(k*(((k*k**7)\/k)\/k*k)\/k)\/k)\/k)\/k**(-4))*(k**5\/k*k**8)**(-37) assuming k is positive.\nAnswer: k**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/2)\/(-2 + 0). Suppose 0 = -l - k + 14, g*l - 18 = -l + 3*k. Let i = l - 2. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-21*y**4 - 10*y**4 - 2*y**4).\nAnswer: 99*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -12*p - 3. Let x be c(-1). Let r(q) = -q**2 + 9*q - 6. Give r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-72)*2502\/(-2085)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 37\/3, -3, -0.05, -2\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlcm. Give prob of picking 1 m and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**3 - 73*k**2 - 1827 - 74*k**2 + 147*k**2.\nAnswer: 26*k**3 - 1827","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/424844 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t. Suppose v = 2*s - 5 - 1, 3*v = t. Solve -3*r = -0 + s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 49 - 64*z**2 - 31 - 36*z - 87*z + 196*z**2 = 0.\nAnswer: 2\/11, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 + 18*u**2 - 26*u - 46. Determine c(3).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207115 divided by -5.\nAnswer: 41423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a factor of 185870737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, -3184, 5, -5 in ascending order.\nAnswer: -3184, -5, -4, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -5 - -3)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c**2 + 869*c + 3271. Give r(76).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(352)*-2 - sqrt(352)))\/(sqrt(11) - sqrt(99)\/(sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/672 and -71\/224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8917.499 and 293?\nAnswer: 8624.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:59 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*o**4 - 28*o + 2*o**3 + 48*o - 22*o)*(1 + 0 + 1) as d*o**4 + b*o**3 + a*o + v*o**2 + s and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 2\/9 (c) -56 (d) 2 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 78 + 8*w**2 - 78. Let x(f) = -4*f + 2*f + 0*f. Calculate m(x(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*a - 18. Suppose -3*z + 2*z + a = 4*q, 3*q = -4*z + 14. Suppose 6 = 3*c - 9. Calculate the remainder when c is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3420?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 554 * -0.66281.\nAnswer: -367.19674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 25\/10*8\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76145.\nAnswer: 5, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/36 and 113\/14328.\nAnswer: 14328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32066 + 15583 - 23788 - 36370 - 10330 - 5147)*(-2*z + 1 - 1) to a + p*z and give p.\nAnswer: 184236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210629*q**3 + 105417*q**3 + 105218*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14871 is divided by 346.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 266017472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.6*-56.\nAnswer: 481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -159821.56 and 1.15.\nAnswer: -159820.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = t - 3, -b = 2*t - 12. Factor -10 - 3*s - 5*s**3 - 16*s**2 - 22*s + 0*s**b - 4*s**2.\nAnswer: -5*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 73623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -63*p + 179*p - 109*p + 2. What is d(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*s - 275*s - 268*s + 818*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.9 + -3.1. Let r = -48 - t. Put -1, 2\/7, r in descending order.\nAnswer: 2\/7, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (-5 - (-7 - 1)) + 13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/30 + w**2\/2 + w. Let m(j) be the first derivative of c(j). Let i(k) = -k. Calculate i(m(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (234\/12)\/(-2 - 33\/(-16)). Calculate the greatest common divisor of 39 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404112313 (base 6) in base 13?\nAnswer: -1581459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*m**2 + 6*m**2 + 19*m**2)*(-35*m**2 - 63*m**2 - 9*m**2) + m**4 + m**4 + m**4 to the form t + q*m + r*m**2 + c*m**4 + n*m**3 and give c.\nAnswer: -4277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48503 is divided by 24249.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 2 (c) -1\/58 (d) 6\/169 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 4*z**3\/3 + z**2 - 7*z - 46. Let m(t) = 3*t**2 + 2*t - 6. What is 6*m(r) - 5*u(r)?\nAnswer: -2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*i = -34, u + 39 = 2*i - 7*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 8*i**2 + i - 13. List the prime factors of h(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + j**2 + 16*j + 3. Let d be c(0). Solve 2*s = d*s - 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 513152 and 228?\nAnswer: 1539456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504943 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -20. Suppose -4*s + w = -3*s. Suppose -19 = -n - 5*l, -3*n - s*l = -4*l - 57. What is the remainder when 55 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3156256 and 10547?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1724*k - 1410*k + 2512 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 1014, 2259, 3998, 6231, 8958?\nAnswer: 12179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 22*z**4)*(-2*z + 4*z + 0*z)*(40 - 16 + 7).\nAnswer: -1364*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose -t*u = -8*u + 1254. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/80*73 + 3\/2 and -15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - w = 5*s + 50, 0 = -4*s + 5*w + 106. Suppose s*h + 322 = 34. Sort 2\/11, -4, -0.06, h.\nAnswer: h, -4, -0.06, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(9549\/(-2385) - -4). Calculate the highest common factor of 50 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and 107004928.\nAnswer: 107004927.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80578334 - 80578334 - 181*o.\nAnswer: -181*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*h + 29 - 7, 0 = -5*p + h + 17. Is (-13 - 2)*(-2 + p - 2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x - 12*x**2 - 13*x**3 + x - x**2 + 7 + 10*x. Is v(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10613, -21194, -31775, -42356?\nAnswer: -52937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11082 - 40c?\nAnswer: 10b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*i - 19, 5*x + i = 4*i + 25. Suppose 144 = q + q. Suppose 6*u - q = 36. What is the smallest common multiple of u and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1109.9 - -1061. Let v = g + 49.173. Round v to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -110. What is the remainder when 42 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*z*z**(2\/5))**(-29))**(-1\/22) assuming z is positive.\nAnswer: z**(-261\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -83. Let p(x) = l*x - 9*x + 8 - 1. Let a(t) = -t + 1. Calculate 5*a(b) - p(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48586812 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3359 + -16843\/5. Sort 5, c, 4 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/60 - r**4\/24 - r**3 + 11*r**2. Suppose p = 5*p - 36. What is the remainder when f(6) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 8, f: 1, o: 2, c: 1}. Give prob of picking 4 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167627 - 98854. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 - n**2 + 5*n**2)*(4*n**2 - 15 + 15) + 3*n**4 - 3*n**4 - n**4 + 464*n**4 + 211*n - 211*n as q + x*n**4 + f*n**3 + z*n**2 + d*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*n - c = -721*n - 41, 0 = -3*n + 8*c - 318 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -2, 2, 8, 16, 26, 38?\n\"Answer: s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 6*g**2 + g + 7. Let h = -4 + 1. Let k(q) = 3*q + 3. Let x be k(h). Calculate t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 3*p + 3. Let h be z(3). Suppose h*x - 4 = x. What is the third derivative of 3*t**6 - 26*t**2 + 20*t**x - 4*t**6 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)\/(5\/115). Suppose w = -4*m + 139. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 83750.\nAnswer: 502500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97426 - 18629 = -9*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3393784140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 846.0434 + -845.8. Which is the smallest value? (a) y (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24524084*s**4 + 104311*s**2 + s + 27 wrt s.\nAnswer: -588578016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 8 + 8)*(0 + 10 - 4).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 107. What is j(30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 9. Let q be 2*1\/(-4)*0. Let x be ((-4)\/(-8) - q)*-8. What is s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/(-3) - 4\/(-6). Let v = k - 52. Is (2\/3)\/((-1)\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:35 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37630327733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9*14 - 5)*2. Suppose -s = -5*d + 638. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1445.36ml to litres.\nAnswer: 1.44536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {e: 3, r: 1, v: 6, f: 2, j: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {i: 1, a: 1, d: 1, v: 1, g: 2, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - u + 428 = -6*u, 2*u = 8. Calculate the smallest common multiple of 42 and a.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193094355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((36\/(-48))\/((-9)\/32))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 37*l - 7*l**3 + l**3 - 10*l**3 - 2 - 7*l**3.\nAnswer: -24*l**3 + 37*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-41)\/(-4 + (2 - -1)). Let y = -1 - k. Let o = 63 + y. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -26*f - 87. Give t(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - -7*(-4)\/(-3 - 1). Solve g = -p + 3*p + 2*j - 6, 12 = -3*p + 4*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.606167425 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-1)\/(345\/15))\/((-2)\/1).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99638, -199281, -298926, -398573?\n\"Answer: -k**2 - 99640*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6042 + 6041.9. What is the nearest to 771 in -3, 1\/8, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5)\/((-100)\/85)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08741552 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -3ca?\nAnswer: 3ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 3*r - 3. Let c(h) = -h**2 - 7*h - 6. Let v be -3 + 5 - 10 - -3. Let q be c(v). Calculate n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5496 and 3.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 4, 53, 144, 289, 500, 789, 1168?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69019*k**3 + 4*k**2 - 211*k - 1 wrt k.\nAnswer: -414114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -13*l + 11*l. Let p = 9 + l. Suppose -p + 4 = -2*d. Sort 4, -2, d in descending order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:43 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21120100 (base 3) to base 5\nAnswer: 134032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 15*v + 3. Let r be i(4). Suppose 4*c + 2488 = 5*p, c - 494 = 14*p - r*p. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i**2 - 13*i - 22. Let u(k) = 7*k**2 - 4*k - 8. Let j(t) = -6*l(t) + 17*u(t). Calculate j(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11064 or -11065?\nAnswer: -11064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394872804 take away -25958?\nAnswer: 394898762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-92)*432\/(-495)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s - 12. Let n be (3\/(-3) + s)\/(-1). Is (-230)\/n*16\/(-20) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 - 4*v**3\/3 + v**2 + v - 1. Let z be (-4*((-4)\/(-2) + -6))\/4. Calculate x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18425 by -2.\nAnswer: -18425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2. Let m(j) = j. Calculate g(v) - m(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 - -0.025.\nAnswer: -99.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 8406.3 and -0.235 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 9*o**2 + 7*o - 9. Suppose 0 = 2*q + 26 - 6. Is m(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnbnnnbn. What is prob of sequence nb?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:31 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*d - 0*d + 2, -3*j + d = -13. Let t = 0 - 0. Suppose t - j = -3*i, 2*c = 3*i + 656. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 305*q - 3576. What is c(21)?\nAnswer: 2829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1777*w**4 + 4*w**3 + 1398. Let c(f) = 6*f**4 + f**3 + 1. Let o(z) = 4*c(z) - y(z). Differentiate o(d) wrt d.\nAnswer: 7204*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - w + 1529 = 6*z, 0 = 5*z + 4*w - 1925. What is the lowest common multiple of z and 27?\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1371\/2742)\/((-1)\/(-70))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, -25663533 in decreasing order.\nAnswer: 14, -5, -25663533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406*m - 1317*m - 39*m.\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.42 + 10.3303. Let t = m + 0.094. Round t to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332\/830*45\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 17. Let g be t(17). Solve 2*q + g*c = -4*c + 16, 19 = 2*q + 5*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 22475.86.\nAnswer: 22475.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/5 + 7284*z\/5 - 29168\/5 = 0. Calculate z.\nAnswer: -3646, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x - 2 - 5 + 7 to the form q + a*x and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7265942824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -0.81 (c) 176 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c + 70 = 46*c - 82*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15450\/1649 or -10?\nAnswer: -15450\/1649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*d**(-2\/9)*d*d\/d**4*d**(3\/7))**(-6) assuming d is positive.\nAnswer: d**(262\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let o = l + 4. List the prime factors of (24\/20)\/(o\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 46527598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g**2*l*t**2 - 719*g**2*l - g**2*t - 47*g*l*t**2 - t**3 wrt t.\nAnswer: 14*g**2*l - 94*g*l - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 3*z**2 - 3*z - 4. Let n be t(4). Let o(r) = 5*r + 54. Let x be o(n). Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (87 - -29 - (0 - -25)) + -8 + -7\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 49. Let l be -4*(-12)\/u + -2. Suppose 6 = 3*s - 9. Which is the third biggest value? (a) 1\/2 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 9*g**2 + 9*g - 11. Let q be s(-10). Let d(m) = -21*m + 3. Let b(i) = -31*i + 4. Let p(t) = 5*b(t) - 7*d(t). What is the units digit of p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -40*x**2 + 96*x - 201. Let o(u) = -2*u**2 + 2*u - 1. Let l(q) = 42*o(q) - 2*s(q). Find m such that l(m) = 0.\nAnswer: -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*a = -13341 + 13315, 24 = 3*l - 3*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.10965928 - -1.296151794. Let z = d - 0.1865. Round z to 7 dps.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61985*l**3*s + l**3 + 4*l**2 + 2*l*s - 244*l - 6 wrt l?\nAnswer: 371910*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 - -478. What is the remainder when i is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from lllllllhh.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 3, w: 1, z: 5, x: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1251, -5003, -11257, -20013, -31271, -45031, -61293?\n\"Answer: -1251*z**2 + z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2130\/(-2769)*(-13)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:47 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40468 and 16308.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 34, 56, 78, 100, 122?\n\"Answer: 22*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77056919, -308227658, -693512223, -1232910614, -1926422831?\nAnswer: -2774048874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1574749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4614124370383+1.5\nAnswer: -4614124370381.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 3, -10, 0, -3 in ascending order.\nAnswer: -48, -10, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60358\/11 - 5492. Find the common denominator of z and -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1296, 690, -680, -3108, -6888, -12314, -19680, -29280?\n\"Answer: -49*v**3 - 88*v**2 + v + 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -9. Is r >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(200\/(-1170015)) + 3\/4. Round w to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u - 22. What is the remainder when m(-8) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 22*w - 70. Let m(k) = -4*k - 2. Let n(f) = -5*m(f) - o(f). Let s(p) = -2*p**2. What is s(n(g))?\nAnswer: -8*g**2 + 640*g - 12800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 3. Let z(v) = -15*v**2 - 25. Let y(m) = 25*i(m) + 3*z(m). Let o(p) = -3*p. Determine o(y(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 52 + 41*w**3 + 81.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/27 (b) 0.1 (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26372\/11880 + (-2)\/5. Let y be 15\/(-27)*-1*5\/(-30). Let b = y + o. What is the common denominator of b and 74\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 419, -66, -1493, -3868, -7197, -11486, -16741?\n\"Answer: -f**3 - 465*f**2 + 917*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 2*l**2 + 2*l - 1. What is the units digit of k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:09 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6 + 443*k - 441*k + 7*k**2 + 5. Let f(b) = 4*b**2 + b + 6. Give -6*c(t) + 11*f(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.4697 - 13.365. What is p rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1032310?\nAnswer: 1032302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*c - 4*w, 3*c + 5*w = -0*c - 14. Solve -3*i = c*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604 + 473116679?\nAnswer: 473120283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1050 + 1052. What is the second smallest value in -0.5, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 8*l + 15. Suppose -9*z - 74 - 7 = 0. Calculate the least common multiple of p(z) and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 83197.73 days?\nAnswer: 119804731.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from hhaaaahhbbabaaab.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 29.9. Which is greater: z or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {a: 2, d: 4, j: 1, w: 6}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -12) + -6 - 54\/(-2) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 6*g - 84. Let f be 2\/((g\/(-12))\/7). Let o(j) be the third derivative of -j**6\/120 + 7*j**5\/60 - j**4\/6 - 4*j**3\/3 - 4*j**2. Calculate o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 15*w + 8. Let r(q) = -q**2 + 14*q + 8. What is -4*p(b) - 5*r(b)?\nAnswer: -3*b**2 - 10*b - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(176) - (2 + sqrt(1100)).\nAnswer: -14*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 1. Let c be (8\/3)\/((-2)\/(-3)). Does 15 divide c*((-38)\/(-8) + n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 3*n**2 - 2*n**2 - n**2. Let g(v) = 4*v. Determine f(g(s)).\nAnswer: -112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a - 6. Let d be i(-5). Suppose 3*n + v - d = 0, n - v - 6 = 2. Does 18 divide (13\/2 - 2)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 d when four letters picked without replacement from {d: 3, a: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyyjsjjsssjj. What is prob of picking 1 s and 1 y?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y + 2. Let o be m(1). Let s(i) be the second derivative of -i**3\/3 - 3*i**2\/2 + i. Let j be s(o). Solve -6*g - j = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 + -2.8. What is the nearest to y in 1\/2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233401345 (base 6) in base 13?\nAnswer: ba0398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154965643, -154965641, -154965639, -154965637, -154965635, -154965633?\nAnswer: -154965631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -13, -11, -16 in descending order.\nAnswer: 2, -7, -11, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 16 - 145*r**2 + 7 - 3*r + 3*r in the form u*r**2 + o + a*r and give u.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)\/(1\/156). Let i = p - 76. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Suppose 0 = 2*s - 10, -v*s = -5*h - 8 - 17. Does 7 divide (-1)\/(h + (-27)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 57. Suppose -70 = -3*z + j. Suppose 0 = 4*h - 2*b + z - 150, -2*b = 4*h - 98. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -1666?\nAnswer: -1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 472400 and 2600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9605)\/(-119) + (-4)\/(-14). Calculate the greatest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50104184597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -14. Suppose -3*p = 3*q - 543, -9*p + 2*q + 1299 + 407 = 0. What is the remainder when p is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -66. Let i be ((-12)\/t)\/(1\/75). Suppose 25*c - 220 = 3*c. Calculate the greatest common factor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - k - 4. Let j be d(-2). Suppose -o - 2*r = -0*o - 14, j = -5*r. What is the remainder when 51 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -19*h - 26. Suppose -h*l - 495 + 3394 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/3*2337\/5453?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.1657614 to one decimal place.\nAnswer: 119.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1 in descending order.\nAnswer: 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1073 + -1070. Solve 0 = -k*a + 5*g - 1, 5*g = -16*a + 12*a - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by -9909.\nAnswer: 74\/9909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35150*a**5 - 163*a - 56.\nAnswer: 703000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -384*j**3 + 749*j**2 + 55*j - 101. Calculate n(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:57 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.16, -5, -1\/4 in increasing order.\nAnswer: -5, -0.4, -1\/4, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 8. Let o(g) = -23*g - 47. Let n(h) = 6*o(h) + 34*s(h). Let q = -1101 - -1094. What is n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.57 to the nearest integer.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 18414686.\nAnswer: 184146860","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 229 (b) -14 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13001303111 - -12?\nAnswer: -13001303033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12009, -24024, -36045, -48072, -60105, -72144, -84189?\n\"Answer: -3*c**2 - 12006*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*d - d - 12 = 0, -n - 2 = 5*d. What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1895 and 7000130.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 10. Let s = 8 - k. What is the highest common factor of s and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = 4*k, 7 = -k + j - 6*j. Suppose -k = -4*u + 13. What is the third derivative of -13*c**2 + 9*c**6 + u*c**6 + 6*c**6 wrt c?\nAnswer: 2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 78 = -w. Suppose -2*q = -8, -q - w = 2*v - 5*v. Suppose -4*n = -84 - 32. What is the remainder when n is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*u + 6, -h = 4*u + h + 16. Let c = u + 5. What is the second derivative of 5*z + z**c - 4*z**3 + 7*z**3 - 7*z**3 wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 + 15*d - 18. Suppose 0*h - 5*h + 5*f - 40 = 0, -4 = h - 5*f. Does 9 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55601 (base 16) to base 2\nAnswer: 1010101011000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 623?\nAnswer: 186900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -186440 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14748?\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) 0.4 (d) 85449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 3, t: 3}. What is prob of sequence ovvv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/1750)\/(1292\/343995*213)?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -125 + -2 - -42?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 + 94 + 58*j**2 - 59*j**2 + (3 - 4 + 3)*(2*j**2 + 2*j - 2*j).\nAnswer: 3*j**2 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let j be k(5). Suppose z = -j*z + 45. Differentiate 41 + 4*i - z - 21 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/3*l**3 + 0 + 1\/15*l**5 + 1\/12*l**4 - 2*l**2 + 0*l. Let y = 180111 - 180113. What is t(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 2.1, -59, 16, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - g - 7. Let t = 423 + -418. Suppose -j = -t*j. Give f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24755 + 27757. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(10)\/sqrt(5) + 0 - sqrt(2)) + 5*sqrt(8).\nAnswer: -4 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -114430\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32744029 to the nearest integer?\nAnswer: 5722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {p: 2, k: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24332\/48888 + (1\/2 - 1). Let j = s - 2615\/1746. Let m = -1\/30 + -13\/60. Which is the second biggest value? (a) -1 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taiaiitithxxiiitanti. What is prob of picking 1 x and 1 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -6\/7 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 - 1 + 0 + 0 + (2 - 1 + 1)*(-3 + 2 + 3) + 0 - 1 - 2 + 2 - 1 + 1)*(-2 + 3 + 1)*(-14*a + 2*a - 9*a).\nAnswer: -168*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248.749251547 + -211.\nAnswer: 1037.749251547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 7*y**2 - 704*y + 4040. Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, -3, -18, -31, -42, -51, -58?\n\"Answer: d**2 - 20*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19148 divided by 4.\nAnswer: -4787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - m - 74 = -73, 0 = 4*f + m + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-20)*0 - (-93)\/10 and 54\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 34 + 112 = 4*i, -q = 5*i - 177. Let g = -7 + 4. Let j = 16 - g. Calculate the remainder when i is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 17*p**2 + p - 7. Let w(v) = 16*v**3 - 85*v**2 - 8*v + 34. What is -11*j(d) - 2*w(d)?\nAnswer: d**3 - 17*d**2 + 5*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*r + 1. Let c = -1 - r. Suppose 0 = 3*f - 6 - c. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 8054\/9?\nAnswer: 8054\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 4. Let w be r(8). Let c(q) = 7*q**3 - 2*q**2 + 3*q + 5. Let b(n) = n + 1. Let h(i) = w*b(i) - c(i). Determine h(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69296 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33337, 66670, 100003?\n\"Answer: 33333*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118975742*g**5 - 173255586*g.\nAnswer: 2379514840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 323, 721, 1279, 1997, 2875, 3913?\n\"Answer: 80*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**3 + 3*c**2 - 2*c + 2. Let g(m) = -69*m**3 - 21*m**2 + 15*m - 15. Calculate 2*g(q) + 15*x(q).\nAnswer: 12*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*d + 46 - 27, 3*i + 5 = -4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, c: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/((-660)\/161271) + (-12)\/1. Calculate the highest common factor of l and 1365.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/564798 and 37\/2366.\nAnswer: 3953586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + ((sqrt(105) + (sqrt(105)*2 + sqrt(105) - sqrt(105)))\/sqrt(7) - (sqrt(540) + 2*sqrt(540)))\/(sqrt(405)*1*-6).\nAnswer: 5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20534, -5, 1 in increasing order.\nAnswer: -5, -3, 1, 20534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let u(m) be the first derivative of m**2 + 5*m - 33. Let k(f) = 2*f + 4. Let x(z) = -5*k(z) + 4*u(z). Calculate s(x(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5299, 22095, 50135, 89419, 139947, 201719?\nAnswer: 274735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3483 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + 2*z**4 + 5*z - 4*z**4 - z**4 + 4*z**4 + (-2*z**2 - 1 + 1)*(3*z**2 - 3*z**2 - z**2) - 16*z - 3*z**4 - 20*z + z**4.\nAnswer: z**4 - 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1971926 to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5491 = -34*q + 9639. Suppose 31*p - q - 640 = 0. Calculate the remainder when 171 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111000011100000 (base 2) to base 12.\nAnswer: 120514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 6*n**2 + 3. Let g(y) = -2 - 2*y**3 + 0 - 3*y**2 + 8*y**2. Suppose 2*w + 15 = -w. Determine w*g(l) - 4*f(l).\nAnswer: -2*l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/r)\/r*r**(-3)*r**(2\/11)\/((r\/r**(-3\/2))\/r*r))**(-2\/25) assuming r is positive.\nAnswer: r**(333\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -28640254 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2867 + 344?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -93. Calculate the remainder when f is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65998*o**5 + o**2 + 2*o + 1654?\nAnswer: -3959880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17434*s - 3479*s - 3491*s - 3485*s - 3489*s - 3481*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let m be ((-6)\/c)\/(3\/(-66)). Let h = -21 + m. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = 3*u, 420 - 423 = u - 3*j. Let z(b) be the second derivative of -1\/3*b**u - 1\/20*b**5 - 3\/2*b**2 + 0 - 3*b - 1\/6*b**4. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186345 + -186340. Suppose 2*q + 3*u = u + 80, 4*q + 2*u = 170. Calculate the lowest common multiple of f and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.4 - 0.8. Let y = o - 0.6. Which is the third biggest value? (a) y (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5872 - 5899. Let v(x) = 28*x**2 - 2. Let c be v(-2). Let y = u + c. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1845, -2969, -3315, -2883, -1673, 315, 3081?\n\"Answer: 389*m**2 - 2291*m + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51971 + -26160. Suppose 43009 = -2*b + 7*b + 3*v, 0 = 3*b - v - x. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 8. Suppose -4*n + g + 278 = 0, 27*g - 25*g = 4*n - 280. Calculate the remainder when n is divided by d(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 9*b**2 + 9*b + 12. Let v be j(10). Let k(g) = 8*g**2 - v*g**3 + 4*g**3 - 9*g + 6 - g**3. Let r be k(-9). Solve r = -z + 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 7. Let o(r) = -2*r + 1. Let u be o(-5). Is t(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p + 1. Let z(l) = -l**3 + 2*l**2 + 2. Let r be (2 - -4)*(-1)\/(-3). Suppose -g - r + 3 = 0. Give g*z(t) - 2*f(t).\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29\/4 - -31\/4. Let y = 0.2 - 0.2. Suppose 5*v = 2*u + 2*v + 6, u + 4*v = -3. What is the nearest to y in a, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26.12 and 2.\nAnswer: 52.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 287 + 347 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(144)*-3)\/sqrt(9))\/((sqrt(48)\/(sqrt(6)*2) - sqrt(8))*1).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**2 - 546*n - 198. Let a be j(50). Put -2, a, -5, 0.34, 7 in increasing order.\nAnswer: -5, -2, 0.34, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*i + 99, 3*i - 2*i + 4*p = 43. Suppose i = 3*r - 146. What is the remainder when r is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/4554047 + -1393151287951\/81972846. Let c = g + 16991. Find the common denominator of 109\/486 and c.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Let x(q) be the third derivative of 0*q + 0*q**3 - 31*q**2 - 3 - 35\/8*q**4. What is x(f(r))?\nAnswer: 105*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Suppose 4*v + 87 = 7*v. Let p(m) = 29 - v - m. What is y(p(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 865*i - 753*i - 7392 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5117.523us?\nAnswer: 0.005117523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 573724.4l?\nAnswer: 573724400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 31, 26, 1, -50?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 28*v. Let j(t) = -164045*t. Give w(j(m)).\nAnswer: -4593260*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let h(z) = -z**2 + 4*z - 4. Let g(c) = c**2 + c - 1. Let y(p) = -p**2 - p. Let k be y(4). Let q(s) = k*g(s) + 5*h(s). Determine d(q(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 4\/3*n**4 - 14 - 1\/15*n**6 + 0*n - 2\/105*n**7 + 8\/3*n**3 - 2*n**2 + 1\/5*n**5. Factor b(v).\nAnswer: -4*(v - 2)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50809\/4 != -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2358958806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -101212?\nAnswer: -101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 46. Let b(k) = -4*k - 1. Let a be 50\/(-18) - 4\/18. Calculate the remainder when v is divided by b(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 + -104. Find the second derivative of c*x**4 - 2*x**3 - 15*x - 78*x**4 + 2*x**3 wrt x.\nAnswer: 156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4\/3, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*c - 21 + 43, 0 = -2*c - 8. What is the derivative of -2*b - 18*b**3 + 6*b + 10*b**p - 237 wrt b?\nAnswer: -24*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 512946*b + 8659*b**2 - 1025887*b + 512941*b + (4 + b - 4)*(2*b + 0 + 0) to the form g*b**2 + p*b + h and give g.\nAnswer: 8661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3759 - 3.029897?\nAnswer: -3762.029897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*h + 457 = 0, 3*h + 123 = -2*t - 344. Let n = t - -4373\/18. Calculate the common denominator of n and ((-190)\/(-48))\/1*2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157463997*f*m**2*o**3 + 71*f*m**2*o**2 + f*m**2*o + 2*f*m**2 - 6615*f*m*o**2 + o wrt o.\nAnswer: 944783982*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208 or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6225 = 3*z, 0 = -x - 4*z - 161 - 1084. What is the common denominator of 0 - ((-126)\/(-104))\/3 and 1\/(-18)*x\/10?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.1 - 4.2. Which is the nearest to 2? (a) 0.2 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8264914 centuries?\nAnswer: 0.08264914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 198, -0.5.\nAnswer: -4\/7, -0.5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412088 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4800*c + 28390 + 14030 = 558*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122729, -490896, -1104507, -1963562, -3068061, -4418004, -6013391?\nAnswer: -7854222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5279, -5247, -5215, -5183?\nAnswer: -5151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5336 or -8114?\nAnswer: -5336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 24563.\nAnswer: 147378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 57*k\/8 - 99\/8.\nAnswer: -(k - 3)*(8*k - 33)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 51. Suppose -k*f = -f - 8121. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972 = 189*v + 392 - 41 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**2 + 1\/24*m**4 + 0 - 1\/3*m**3 + 0*m. Let q be y(5). Solve q*l = 4*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let h(g) = 13*g - 4 - 21*g + 9*g + 0. Determine h(x(r)).\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 1 - 1 + (-3*q**4 + 3*q**4 - 2*q**4)*(5*q - 4*q + 0*q) + 6*q**5 - 4*q**5 - q**5 + (-3*q**5 - 3*q + 10*q**3 - 10*q**3)*(-70 + 42 - 68).\nAnswer: 285*q**5 + 288*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -0.53 (c) -0.04 (d) 75 (e) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/55 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = 4*y, 0 = 5*y - x - 0*x - 29. Suppose 6*s = y*s. Suppose 42*k - 44*k + 78 = s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 6)*(2*a - a - 3*a)*(-a - a - 2*a)*(2*a - 2*a + a**2).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181.095 * 0.1.\nAnswer: -18.1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4, 211.8, 4\/7, -2\/3.\nAnswer: -4, -2\/3, 1\/5, 4\/7, 211.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8828 + 8828.3. Let t = 0 - -3. What is the nearest to -1 in t, u, 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1620?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 29*n + 43. Determine l(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 7*m**2 + 6*m + 6. Let y = -1 + 1. Calculate the lowest common multiple of 4 + (-6)\/3 + y and p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384308.\nAnswer: 2, 3, 38453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.47 - 0.03. Let p = -5.5 - k. Which is greater: -0.08 or p?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - r - 12, -5*n - 4*r = -20. Let u(f) = f + 4 - 6 - 2. Let q be u(6). Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4453*x - 4398*x = 13200. Solve x = 31*j + 17*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4440*w**2 + 19405*w wrt w?\nAnswer: -8880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 16*u - 10. Calculate y(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 48*v**2 + 126*v - 4027. What is p(-42)?\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296229282 is divided by 3135.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -724*g + 6597 with respect to g.\nAnswer: -724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -444 + 533. Let d = 90 - t. Solve -2*q - d + 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*o - 75*o - 3 + 29*o)*((3 + 5 + 0)*(0 + 5 - 1)*(-5 - 2 + 5) + (-2 + 0 + 3)*(5 - 2 - 4)) to g*o + k and give g.\nAnswer: 1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/5 + 8112*c\/5 - 9654632\/5 = 0. Calculate c.\nAnswer: -5018, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 6. Let s be m(5). Suppose -16 = -2*z + 3*c + 2*c, -s*z + 3*c + 18 = 0. Suppose -6 = z*y + 2*q - 34, -39 = -4*y - 3*q. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -13. Put -2, 4, p in descending order.\nAnswer: 4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + r + 9 = -k, -5*k = -5*r - 10. Let y(f) = -f - 1. Give y(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267915 is divided by 89218.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j + 2. Let m(l) = -3*l + 1. Let p be m(j). Suppose 3*f - z - 98 = 0, p = z - 3*z. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/72)\/((550\/(-44))\/25)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9947761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 4063128.24406?\nAnswer: 4063127.24406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 - 2*w - 7. Let g be p(-6). What is the second derivative of 2*s + 3*s + 33*s**5 - 27*s**g wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 39 = 11. Suppose -2*p = -3*j + d, -j + p = -6*j + 24. Suppose 4*t = 2*v + 8, -v - 8 = -t - 2*t. Solve t*x + 11 = r, x + j*r = -r - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5)*k*k**2*(k\/k**(-4)*k)\/(k**(1\/5)*k))\/((k**(-2\/3))**(4\/13)\/(k**(2\/5)*k*k**(2\/3))) assuming k is positive.\nAnswer: k**(3134\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8769 = -3*f - 5976, 4*f = 3*j - 14747. Does 128 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 - -0.7. Let p = 18 - 15. Suppose 3*x = p*i - 0*x + 9, -i = -5*x + 3. What is the second smallest value in c, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d. Let i(r) = 17*r**3 - r**2 + 2*r + 3. Calculate i(q) - 2*z(q).\nAnswer: 15*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -9*k - 81 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -465.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1 + sqrt(7))*2 + 0 + 3)**2 + 0 + 0).\nAnswer: 4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12403, -24837, -37271?\nAnswer: -49705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v - 87. Let s(l) = -13*l + 172. What is 11*k(u) + 6*s(u)?\nAnswer: -u + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 127413.59 * -1\nAnswer: -127413.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 17)*(-306*p + 838*p - 322*p).\nAnswer: 4620*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 34*t**2 + 17*t - 25. What is s(11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 - 121*b**4 + 3720*b**3 - 3600*b**2 = 0. What is b?\nAnswer: 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/5 + 31*f**4\/5 + 323*f**3\/5 + 1277*f**2\/5 + 1704*f\/5 + 144 = 0.\nAnswer: -12, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1312674\/31 and -42345 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from ccwwhcckczwwwczc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(245)\/(sqrt(448)*2))\/((sqrt(28) + sqrt(28) + sqrt(28)*1)*-6).\nAnswer: sqrt(5)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 996*y**2 + 60*y - 360. Is 135 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*v - 33, 0 = 38*v - 34*v + 20. Let l = 9 - 4. Suppose 28 = 4*n - 2*s, -n - 20 = -l*n - 2*s. What is the highest common factor of c and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 8 + 3)*(-4*j**2 + 3*j - 2*j**2 + 2*j**2).\nAnswer: 84*j**2 - 63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*o - 45*o - 90*o + 238*o to z + c*o and give c.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**2 - 65*k + 73 + 66\/5*k**5 + 0*k**3 + 0*k**4. What is the second derivative of n(g) wrt g?\nAnswer: 792*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + u = -2*h + 21, 0 = -h - 2*u + 6. Let n(x) = 4 - 4*x + 5*x - h. Let z(o) be the second derivative of 2*o**3\/3 - o. What is z(n(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-20)*k**(-27)*k*k**(6\/7)\/(k*k*k**(9\/7)))**(-2\/59) assuming k is positive.\nAnswer: k**(104\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319)\/(-348)*21*-4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34616*b**2 + 21*b**3 + 34616*b**2.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let p(a) = -3*a - 20. Let j(m) = -m - 8. Let g(x) = 5*j(x) - 2*p(x). Let l(q) = -6*q. Calculate t*l(f) + 9*g(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*h + 4, 4*k - 12 = -h + 6*k. Suppose 0*r - 16 = -h*r. Is 10 a factor of r\/10 - 234\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s + 18*s**2 - 21*s + 48*s in the form a*s + j + w*s**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10)**(-19)\/(k**8*k*k)**(-1\/25) assuming k is positive.\nAnswer: k**(-948\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65619*q**4 + 5*q**2 + 5*q + 102.\nAnswer: -1574856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4 - 4)*((r - r + r)*(0 + 0 - r) + 2*r**2 - r**2 - 3*r**2 + (-2 + 6 - 3)*(r - r + 2*r**2) + 149*r**2 + 2157 - 2157).\nAnswer: -296*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(343) + -1)**2*-4 - (1*(4 + sqrt(21)\/sqrt(3)*-3))**2)*6.\nAnswer: -33498 + 1488*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62445 and 1725.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 497 - 497 - 3*m**2. Let p(a) = a**2. Calculate p(j(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 4, p: 6, b: 2}. What is prob of picking 3 s?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 5*h**4\/3 - h**3\/3 + h**2. Let l be g(-4). Let m = 245 + l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4460 divided by -1\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(41\/(369\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 + 13 + 59*m**3 - 42 + 8 with respect to m.\nAnswer: 177*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3204 divided by -2.\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8976)\/(-40))\/(-2) + (-8)\/10. Let f = x + 115. Solve -4 = 2*k + f*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from bnlb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 280, 89, -426, -1427, -3076?\n\"Answer: -27*j**3 - 2*j + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 18.9. Let a = p + 2. Let x = -8 + 12. What is the nearest to 0.1 in a, x, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-2 - -2))*0. Let c = 761 - 763. Let h = -35 + 31. What is the nearest to s in c, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-10)*(-31)\/(-217).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 80. Suppose 4*t - 20 + l = 0. Suppose -6*y = -3*y - 15. Solve t = -2*w - y + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**2 + 6*f**2 - f**2 + 2*f**2. Let p be u(1). Let r = -9 + p. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 + 355*x - 355*x.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2*q**4 + q**4 + 0*q**2 - q**4 + 0*q**2 + (-4 + 2*q + 4)*(-q**3 + 5 - 5) + 2*q - 2*q - q**4 + 2*q**4 + q**4 - 2*q**4 + 1 - 1 - 3*q**4.\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 7 + 12. Let f be (-27)\/6 + 28\/8 + -4. Sort f, 2, z in ascending order.\nAnswer: f, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, n: 1, o: 2}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -18)*(-2)\/4. Let k be 166\/82 - 3\/12*y. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8084823 to the nearest integer?\nAnswer: 2843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10010*c**2 + 494*c + 9. Let g(v) = 68*v**2 - v + 1. Let d(x) = -3*g(x) + t(x). What is the second derivative of d(k) wrt k?\nAnswer: 19612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from uwwufwwuuuwuugtgv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 163202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 104477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let v(w) = -227943165*w. What is z(v(k))?\nAnswer: 155874259410651675*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3 - 3)*(-34*y**2 + 31 + 28 - 60).\nAnswer: 68*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*j*j**(-7\/5))**11 assuming j is positive.\nAnswer: j**(-792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -12. Let f(b) = 3 - 8*b - r + b**2 - 11. What is the units digit of f(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 r when four letters picked without replacement from rrjrjrjjjjrrjjrj?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 3 + 3)*(-9 + 0 + 2)*(0*u + u + u)*(0 - 1 - 1)*(-2 + 0 + 1) to the form j*u**2 + w + f*u and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6287077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s - 3*o - 6, -4*o - 8 = 0. Let q = 32 - 46. Let i = -3 - q. Solve -2*f + 1 - i = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n*n\/(n*n\/((n**(-6\/5)*n)\/n*n))*n*n**(-9)\/n*(((n*n**18*n)\/n)\/n)\/n)**(-1\/28) assuming n is positive.\nAnswer: n**(-39\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6*c = -2*x, -c = 2*x - 101 + 91 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 6) in base 3?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 6. Let r be i(-28). Find the first derivative of 152 - 100 - 33*x**2 - r wrt x.\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*31*19\/1178\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5)\/s*s)\/s*s*s**(2\/5)*s)**(5\/2)*(s\/(s\/(s\/(s**(-7)\/s))))\/s**(2\/19)*(s*s\/s**(-1\/9))\/((s**3*s*s)\/s) assuming s is positive.\nAnswer: s**(173\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10185, -10177, -10167, -10155?\n\"Answer: y**2 + 5*y - 10191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*sqrt(6)\/sqrt(3))*-2 + (((-3 + sqrt(2))*2)**2 - (sqrt(42)\/sqrt(7))\/sqrt(3)).\nAnswer: -35*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:24 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3 - 23*x - 4*x**2 + 8\/3*x**3. Let u(i) = 4*i**2 - 4*i - 12. Let t(l) = -7*u(l) + 4*v(l). Determine w so that t(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421881?\nAnswer: 43, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 50 = -10*n - 6*n. What is the biggest value in -3, -5, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219308089.\nAnswer: 7, 11, 13, 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f**2 - 6 - 13*f + f**2 - f. What is the least common multiple of 6 and a(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244 - 240. Let n(a) = 3861 - b*a**2 - 3861. Let s(y) = 7*y. Give n(s(z)).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1819266964021 and 14.\nAnswer: 1819266964035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5bc515 - -116?\nAnswer: 5bc62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15060859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 9*z + 12. What is the remainder when (-1)\/(2\/(-11) + 150\/946) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + -4 + 5)*15. Let o = -64 + 10. Find the common denominator of (-706)\/r + 12\/o and 145\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n + 1. Let l(d) = -d**3 + 10*d**2 - 4*d - 17. Let z(i) = l(i) + 5*v(i). Let m be z(15). Let -w**3 + m + 3*w**3 - 7 - 6*w = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h**2 + 19*h**2 + 44*h**2.\nAnswer: 118*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6676789 and 4.\nAnswer: 6676793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -48, 2 in decreasing order.\nAnswer: 3, 2, 1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y - 2649063 = -16*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/(-15))\/(-3))\/(5*(-126)\/525)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b - 218. Let h(v) = 14*v + 226. What is -2*h(m) - 3*n(m)?\nAnswer: 8*m + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45879030 by -1.\nAnswer: 45879030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37493*b*o*z**2 - 2*b*o + 1618*o*z**2 + o*z + o - z**2 + 9*z wrt b.\nAnswer: -37493*o*z**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -3*w + 2720. Let o = w + 501. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 24*w + 10. What is f(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41009\/8 + 5126. What is the biggest value in -1278, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -15.25. Let o = h + 0.25. Which is the fourth biggest value? (a) 8 (b) o (c) -0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**6\/6 + 35*m**5\/4 - 375*m**4\/2 + 6250*m**3\/3 - 12500*m**2 - 13*m - 1. Find c, given that s(c) = 0.\nAnswer: 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1805, 8551, 19793, 35531, 55765, 80495, 109721?\n\"Answer: 2248*x**2 + 2*x - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 116?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y**2 - 29*y**2 + 49*y**2)*(0 + 0 + 2*y**2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3620, -4329, -5038?\n\"Answer: -709*f - 2911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 j when three letters picked without replacement from jrujr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 244401001 (base 5) to base 12\nAnswer: 484524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*m - 10, 3*m - 4*f - 11 = -3. Is m greater than 2\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(s + 3*s - 2*s) - 2 + 2 + 2*s + (s + 3*s - 5*s)*(3 - 3 + 2) - 4*s - 4*s + 5*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 15.1. Let s = j + -1.1. Sort -4, s, -3 in ascending order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149349 is divided by 365?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {d: 3, g: 5, f: 3, i: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*f + 4 - 10, -4*s - 5*f = 14. Let m(d) = 19*d**3 - d**2 - d. What is m(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419781 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 7 + 5\/3*n**3 + 0*n + 0*n**4 + 0*n**2 - 2\/5*n**5. Find the third derivative of v(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 31*t - 1. Let v(x) = -6*x + 4 + 0*x + 0*x + 5*x. Let z be v(3). Does 10 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 3*t**2 - 17*t - 7. Let z be s(6). Suppose -4*d + 3*a = 2*a + 11, -2*d = -4*a + 2. Put d, z, -12, -2 in increasing order.\nAnswer: -12, d, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*c**2 - 57*c**2 - 4*c**2 to s*c + r + b*c**2 and give b.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5796 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 6*j + 8. Suppose -2*b - 6 = -g, b + 6 = g - 4. Calculate the lowest common multiple of g and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-288))\/((-515)\/(-4635)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2)\/j*j)\/j**(-1\/6))\/(j*(j*j**(-5))\/j*j*j*j**4) assuming j is positive.\nAnswer: j**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**4\/12 - 3*k**3\/2 - 2*k**2 - 17*k. Let o be s(-4). Let n be o\/(-6)*(3 - (-20)\/(-8)). Sort -1, -3, n, 2.\nAnswer: -3, n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 2*b - 7. Let s be j(-3). Let c = 86 - s. Suppose -3*y - y - 2*p - c = 0, 4*p - 19 = 5*y. Are -6 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x + 10. Let t(y) = -40*y - 28. Let v(j) = -11*d(j) - 4*t(j). Determine v(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20020140 + -2?\nAnswer: 20020135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 30*j**2 - 27*j - 124. What is a(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161\/3 - -54. Let h(i) be the first derivative of -i**2 + 0*i + b*i**3 + 8. Let p(z) = -2*z. What is -2*h(l) + 2*p(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0*n**4 + 34\/15*n**6 + 0*n**5 + 0 + 13\/2*n**3 + 0*n**2 - 108*n. What is the second derivative of s(q) wrt q?\nAnswer: 816*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 7*q + 11*q + (-2*q + 2*q - 2*q)*(2 - 4 + 0) + 7*q + 4 - 7*q + 2*q.\nAnswer: 20*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 426788 + -303415. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w - 2 + 2)*(1 + 1 + 0) + 4 + 8 - 14 + w + (3*w - 3*w + 2*w)*(-4 + 2 + 0))*(-2 - 2*w + 2).\nAnswer: 2*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10438*c**2. Let z(d) = 478*d**2 + 26*d. Determine z(t(i)).\nAnswer: 52078981432*i**4 - 271388*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 103*v**5\/10 - 5*v**4\/12 + 319*v**3\/6 - v**2\/2 + v + 248. Find the second derivative of r(z) wrt z.\nAnswer: 1236*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117994, -117986, -117966, -117928, -117866?\n\"Answer: m**3 + m - 117996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2966 = 2*n - t - 2105, 0 = -2*n - t + 5069. Suppose -n - 775 = -5*v. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 - 4. Let a = -3.1 + -0.9. Sort 1\/8, p, a in ascending order.\nAnswer: a, p, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1859275 and 8.\nAnswer: 14874200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1227*n**3 + 16057 - 16057)*(-n + 0*n - 2*n).\nAnswer: -3681*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Suppose 0 = z*o + 5*x - 36, 5*o + 0*o + 2*x = 28. Calculate the remainder when 11 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398400530 by 31.\nAnswer: 12851630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537944762?\nAnswer: 2, 179, 1502639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586044 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 19. Suppose 9*k = 8*k + q. Solve 23 = -z + k*o, -7 = -0*z - z - o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 0. Let q(s) = -4*s - 1 - 5 + 3. Calculate the remainder when i is divided by q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/60 - o**4\/9 - 5*o**3\/18 - o**2\/3 + 3*o - 2. Suppose k(h) = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 23*i + 9. Let z(u) = -u**2 - 12*u - 5. Determine 3*k(o) + 5*z(o).\nAnswer: -2*o**2 + 9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -40*h + 35*h. What is the second derivative of -6*l + 3*l + 705*l**3 + 702*l**3 + h - 3*l**2 - 1417*l**3 wrt l?\nAnswer: -60*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {k: 1, y: 2, w: 3, c: 1, z: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270467236.\nAnswer: 2, 13, 5201293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.95 and -0.1?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111111110011111100000 (base 2) to base 8.\nAnswer: 27763740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 0.5, -0.4, 4, 2310\/13?\nAnswer: 2310\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4170*v - 3581*v = 5323*v + 307710 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -338, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.2 != -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461, -2922, -4361, -5766, -7125, -8426, -9657, -10806?\nAnswer: -11861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 55*r**3\/6 - 21*r**2 - 258*r. Find the first derivative of h(f) wrt f.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -988? (a) 5 (b) -68.7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/176*(-2068)\/(-611).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15355099979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 26. Solve -k = j, r*k - j = -23 + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.654 - 0.11\nAnswer: -5.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 74*o**2 - 692*o + 1. Let l be v(11). Solve 5*j = -3*a - 24 + 44, 4*a = 3*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-1225)*160)\/((-8)\/126)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1144794 and -23\/1526392.\nAnswer: 4579176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 30 = -32*g. Solve 16 = -g*m + 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/((-6)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 129248330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070069496 plus -0.27711?\nAnswer: -0.347179496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 326*q**2 + 1 + 3 + 4 - 89*q**2 with respect to q.\nAnswer: 474*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10288 + 10293. What is the third smallest value in b, 0.1, -5, -0.0665?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8816 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 3. Let a = 123 - 111. What is the smallest common multiple of n(-3) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4132970449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.4 - 607.6. Let j = -586 - q. Round j to one dp.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -56. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286749 divided by -95583.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*n + 2 - 7 = 0, 0 = 2*n + 4. Let g(b) = -2*b - 2. Let w be g(-12). Is 35 a factor of m*103 - (24 - w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-2) - 13800\/1080\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -1\/14, 11, 26 in increasing order.\nAnswer: -1\/14, 0, 0.2, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 0.5 (c) -2\/9 (d) 2\/13 (e) 27610\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 101021202 (base 3) to base 8\nAnswer: 16513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 6.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 + -3) - (-10 - -11) - -32?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5737, -6023, -6387, -6829, -7349?\n\"Answer: -39*p**2 - 169*p - 5529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -431, 0, 3\/38, -5, -266?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274181277 divided by 3?\nAnswer: 91393759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16567.36km to millimeters.\nAnswer: 16567360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 1604428936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t - o = 5, -4*t + 20 = 2*o. What is the second derivative of 10*d**5 - d**5 + 7*d**5 - d**t - 8*d wrt d?\nAnswer: 300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 62*l - 57*l + 45 = 0, l = -5*c + 57. Solve b - 3*r + r - c = 0, -r = 2*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2561336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5 - x**2 - 2 - 1 - 7*x. Let j be f(-6). Let n = 1132\/15 + -379\/5. What is the second smallest value in j, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -0.01333?\nAnswer: -0.01333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6231376 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**2\/7 + 20445*q + 286242\/7 = 0?\nAnswer: -2, 47707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 30 - 14 - 4. Let o(w) = -w**2. Determine n(o(p)).\nAnswer: -p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 10*u**2 + 16*u + 5. Let q(l) = 3*l**3 - 15*l**2 - 24*l - 8. Let d(p) = 8*a(p) + 5*q(p). Determine d(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -35.37\nAnswer: -14.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 8:17 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 0 + 1 + -5)*1 - (sqrt(704) + sqrt(704) + 1*(sqrt(704) + sqrt(704)*2) + 4*(-2*sqrt(1331) - sqrt(1331))))**2.\nAnswer: -816*sqrt(11) + 114460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*m - 8. Suppose -7*x = -m*x + 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.4 - 19.7. What is the nearest to 2 in -0.1, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5550)\/111 + 60 + (-69)\/1 + -4.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1013874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2. Let l(h) = -514364*h**2. What is l(n(d))?\nAnswer: -32919296*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.03 (c) 2\/9 (d) 372543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-6))\/(2\/(-60)). Let c(u) = -4*u. Let d be c(-2). What are the prime factors of (-2)\/d + s\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*p - 26, 4787*p - 4791*p = 4*a + 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4*(-1)\/2. Let k(o) be the third derivative of -o**4\/6 + 2*o**2. What are the prime factors of k(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 6. Let k(b) = -1. Give d(i) + 4*k(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l - 189. Calculate d(27).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-14) - (-267)\/(-6). Let c = 9 + v. Let l be ((-10)\/c)\/((-3)\/(-12)). Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 85 = 3*l - 4*t, 120 = -4*l - 2*t. Let f = l + 13. Let a be f*1*1\/(-3). Let v(r) = -8*r + 5. Let b(g) = -7*g + 4. Give a*b(x) - 5*v(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -93*1030\nAnswer: -95790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -58677 and -58677 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 140898*j\/5 + 422676\/5.\nAnswer: 2*(j - 70446)*(j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154774 + -154771. Let q = -1.4 - 0.6. Let g = -3 + q. Sort -11, g, j, 0.4 in increasing order.\nAnswer: -11, g, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -8c66ad?\nAnswer: -8c66bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfvaqqf. What is prob of sequence af?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 352*h + 398*h + 368*h + 431*h to the form s + v*h and give v.\nAnswer: 1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 12. Let y = 20 + -27. Let s be a(y). Let o be 7*(5 - 5 - 1) - -4. Sort s, o, -8 in decreasing order.\nAnswer: s, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204.5 + 5.5. Let b = f - 210.2. Sort b, -0.5, -3.\nAnswer: -3, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let w(u) = -86*u - 22. Let v(o) = 2*o + 2. Let l(h) = -22*v(h) - 2*w(h). Calculate l(k(n)).\nAnswer: -256*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35731 (base 11) to base 13\nAnswer: -1a565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 26\/7, 2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12616 = 29*a - 102*a - 3929. Suppose -5*g = o - 3*g - 11, 15 = -3*g. Calculate the highest common divisor of o and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 3. Determine o(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 at least 936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q, w + 5*q - 1744 = -0*q. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -7*k**3\/6 - 21*k - 29. Let w(g) be the first derivative of j(g). Let r(d) = -4*d. Determine w(r(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 151446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 5*(-8 - -17)\/(30\/4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 53. Suppose -a*t = -10*t + 1152. What is the remainder when t is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7933*x = 19176*x + 1562777 for x.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let j = -44.57 - 2.43. Let g = -47 - j. Is x bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 112, 242, 434, 694?\n\"Answer: b**3 + 22*b**2 + b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + 6*a + 174. Let w(m) = 2*m**2 - m - 3. Let o(t) = j(t) - 2*w(t). Let h be o(14). Calculate the greatest common divisor of h and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 616 - 330 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 19563 + 693947. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xdxxdxxxxdxdxxddsx.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-1 - -3))\/(-1). Let s be (-8)\/(-3)*(-6)\/4. Let q = s + 4. Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -10. Let k = 4.19 + -4.39. Which is the second biggest value? (a) z (b) 1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 7*i + 15. Calculate the greatest common divisor of 165 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 249342240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 8*u + 2. Let z be ((-10)\/(-7))\/(u*(-10)\/(-35)). Which is the nearest to 4? (a) -0.4 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57515.\nAnswer: 5, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 21*a**2 - 36*a - 25. Calculate y(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157 and 5?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3215 + -3?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 548032383.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 88*w**2 + 102*w + 8088. Give r(-88).\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 4\/3, 0.03, 3, -3\/2 in increasing order.\nAnswer: -12, -3\/2, 0.03, 4\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5 - 3*m - 2*m + 3*m. Let u be ((-48)\/66)\/4 - 171\/(-33). Determine c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*h = -2*i - 2, 4*i - 32 = -5*h. Suppose -7 = -i*t + 5. Solve 3*r + 2*b + 4 = -2, -r + t*b = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/14*(2\/2)\/(40\/(-96)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + 13 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56665, -457412, -1545149, -3663370, -7155569, -12365240?\n\"Answer: -57249*j**3 - j**2 - j + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 22*a - 25*a + 1263, 2*b + 5*a = 833. Calculate the greatest common divisor of 477 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 20. Let v(t) = t - 1 + 0*t + 6 + 10. Let w be v(-16). Put 0, w, m, 3 in increasing order.\nAnswer: w, 0, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(8\/((-32)\/(-12)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:24 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977470536.\nAnswer: 2, 3, 7, 5818277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 755185, 1509820, 2264455?\nAnswer: 3019090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**2 - 275*i - 140.\nAnswer: 5*(i - 28)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8 - 4*h + 5*h**2 + h**3 - 2*h**3 - h - 2. Let g be i(4). What is the third derivative of 2*a**g + 30*a**4 - 5*a**2 - 32*a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Suppose -2*z + t = 14. Suppose 8*a - 3*a = 3*w - 12, 4*a - w + 11 = 0. Put 3, z, a in ascending order.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 9*s**3 + 2*s**2 - 2*s**2 - 6*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7028011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 22275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 122+-4383\nAnswer: -4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612628961?\nAnswer: 7, 53, 1651291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/24)\/(v\/v**(-16)) assuming v is positive.\nAnswer: v**(-407\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621476289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(495) + sqrt(55))*-6*-6)\/(2*sqrt(99)*-3 - (sqrt(99) - (sqrt(99) + (sqrt(99) - sqrt(99)*-1)*4) - sqrt(99))))**2*-3.\nAnswer: -61440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.082 - -0.153. Round u to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4240545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from nnoquqqunwnonunqn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t + 2*t + 4*t + 10*t + 18 with respect to t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 2 = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 104*g**2 + 330*g - 5912. What is the hundreds digit of c(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/((-2)\/(-12)). What is the highest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 169*s**3\/3 + 892*s**2 - 1125. Find the second derivative of u(k) wrt k.\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 8*v**2 - v + 1. Let o be g(7). Let n be (-200)\/o + (13\/3 - 0). Solve -3*f + n - 11 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6162 and 256254986?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1929*t**4 - 47*t**3 + 3*t**2 + 2*t - 32998469 wrt t.\nAnswer: 7716*t**3 - 141*t**2 + 6*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 115, 128, 111, 64?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150623279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 24. Let b(m) = -4*m + 1. Give b(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - y)*(5*y + 4*y**2 - 2*y**2 - 3*y)*(-5*y + 3*y + y).\nAnswer: -2*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8497785*o + 8588037.\nAnswer: -8497785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9461 divided by -3.\nAnswer: 9461\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:43 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let k(x) = 10*x**2. Let s(a) = 2*k(a) - 22*p(a). Let v be (7 - 4) + -1 + 0\/1. Let i(b) = 231 + 229 - 460 + 4*b**v + 3*b**2. Determine s(i(w)).\nAnswer: -98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*x = 82*x - 28*x - 7330 - 1916 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98825 and 670?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8746629 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*x + 6730, -4*a + 130*x = 133*x - 5383. Do 1344 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 2) + -93 + 127?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/8 + 5\/(-20). Find the first derivative of m + m**3 - x - 6*m + 5*m wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 1398 - 1068 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 - (5 - 2)). Suppose i*q - 2*q = -2*c - 2039985, 5*c - 3*q + 5100015 = 0. Let n be 0 - (-1)\/((-2)\/c). What is n rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -0.03, 0, -0.0553, 5, 7\/5?\nAnswer: -0.0553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 1613, 3652, 6509, 10184, 14677?\nAnswer: 19988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**31)**(9\/7)*((i\/i**(18\/5))\/i)\/i*(i*(((i*i**(-7))\/i*i)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(954\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-1)\/(-52)*-4). What is the highest common factor of p and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -16. Let v = 27 + -31. Suppose 3*y - 4*a + 9 = 0, -y = 3*a - 2*a - 4. Sort v, y, c, 5 in increasing order.\nAnswer: v, c, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011100000111010001010 (base 2) to base 11\nAnswer: -4086aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:40 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -912 divided by 76\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n + 49*n + 124 = 0. Let v = -141 - -111. Let g be (4 - 3)*v*1. Which is smaller: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6485529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1\/3*s**3 - 1\/2*s**2 + 7*s + 22. Calculate the remainder when n(0) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/198)\/5*(-18)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:22 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzznzz. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1772634\/385 + 23017\/5. Let a = v + 14\/11. Let f = -12.1 - -12. Put f, a, 3 in decreasing order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 18 + 233*r in the form i*r + p and give i.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-379*z**2 + 379*z**2 - 113*z**3)*(2*z + 2 - 2) + 1 - 1 - 2*z**4 + (1 - 1 - 2*z)*(0*z**3 - z**3 - z**3) - 5 - z**4 + 5.\nAnswer: -225*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15446423 times 5?\nAnswer: 5.77232115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 13*g - 12. Give p(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*t + 22, -t - t - 33 = -5*w. Suppose 4*a**4 + 486*a**2 - 2 - 488*a**2 - 4*a**3 + 5*a + 3*a**5 - 4*a**w = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-90)\/36)\/(5\/(-36)). Suppose -3*u + 12*u - o = 0. Solve 13 - 3 = u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920730583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 131*f + 334. Let b be x(-2). Solve 28*g = 46*g + b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 146. Let w = -7 + t. Let r = 43 - 25. Calculate the remainder when w is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10608 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456.3505 * 0.5.\nAnswer: -228.17525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (167*i - 167*i + 1 - 16*i**2)*(i**2 - 3*i**2 + i**2) in the form o + y*i + l*i**3 + d*i**4 + j*i**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 21.6. Which is the third biggest value? (a) u (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Let w(y) = y**3 - 5*y**2 - 5*y - 3. Let f be w(j). Which is the closest to 0.1? (a) f (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -228 + 240. Let r(v) = v**3 - 12*v**2 + 5*v - 56. Let n be r(x). Solve 2*m = 10 - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139834482 divided by 74301.\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10108.08606 rounded to the nearest 10?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-o - 2*o + 5*o)*(-o + o + 2*o) - 423*o + 423*o + 54*o**2)*(1 - 22*o + 56*o - 28*o) in the form y*o**3 + j + k*o + b*o**2 and give y.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16. Suppose -2*f + 7*f - 6 = -l, j = 2*l + 8. Solve r - 10 = -2*h, -r - 14 = -2*h - f*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7212702*j**3 - 9*j**2*x + 2*j**2 + 23596*j*x + 7*j + x - 25 wrt j.\nAnswer: 43276212*j - 18*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86095723\/2 or -43047862?\nAnswer: -86095723\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8676052 divided by -2?\nAnswer: -4338026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 18, h: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - -10*(-7 - -16). Calculate the greatest common divisor of s and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 9 = y, y + 5*l = -0*y - 1. Solve -y*p - 8*g + 16 = -3*g, 3*g = 4*p + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179604 divided by -229.\nAnswer: 179604\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 6)*(3 - 3 + 2)*(2 + 3 - 3)*(2*k - 3*k - k)*(-2 - 1 + 2)*(-35 + 170 - 30) to the form g*k + j and give g.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/2 - 1\/(-2). Let f = -57 + 64. Suppose -o + f = 2*p - p, x*p + 3*o - 33 = 0. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.9 + 132.1. Let h = g + -165.0082. Round h to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 14*y + 23. Let z be q(-12). Let k = 4.98 - -0.02. Let g = 116\/3 - 38. Which is the third smallest value? (a) z (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 15*h - 11*h + 3*t, -h + 2*t + 91 = 77 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbrbrrrrbbbbbrbr. What is prob of sequence brb?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - d - 4*d + 37, 2*d = 2. Calculate the remainder when 29 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**5\/30 + u**4\/12 - 3*u**2\/2 - 5. Let y(n) be the second derivative of x(n). Factor y(f).\nAnswer: 2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/320 + 11*l**5\/160 + 3*l**4\/8 - 9*l**3\/4 - 19*l**2 - 2*l. Factor s(x).\nAnswer: 3*(x - 1)*(x + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4)**(-21)*(v\/v**(-1))**2)**33 assuming v is positive.\nAnswer: v**(-2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 + 47*s**3\/4 + 19*s**2\/2 - 95*s - 138.\nAnswer: (s - 3)*(s + 2)**2*(s + 46)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.261 and -72975.\nAnswer: -72974.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 16*l + 13. Let q be b(-7). Let i be (3015\/(-63) - (1 + -6)) + -6. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -13*l**5\/120 - l**4\/24 + 16*l**3\/3 + 17. Let j(s) be the third derivative of d(s). Differentiate j(f) wrt f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 353 and 1156.\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645345 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000194417 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*n**3 + 5*n - 4*n - 4*n.\nAnswer: 170*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s - h, h - 14 = -0*s + 3*s. Let m = s - -3. Let n(j) = j + 4. Let q be n(-4). Are m and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24920852 divided by 4?\nAnswer: -6230213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3696485 - 3680367.29. Let w = y + -15994. Let j = -123 + w. What is j rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(15)\/(sqrt(3) - sqrt(12)) - (sqrt(200)\/sqrt(10) - sqrt(5))) - (-1*(-1*sqrt(25) + sqrt(25)))\/(sqrt(60)\/sqrt(108)))**2.\nAnswer: -12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 7 + 0*b + 6*b)*(-2 - 3 - 2).\nAnswer: -14*b - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67.958 and -575.070272?\nAnswer: 643.028272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 192, -122, -8, -5 in increasing order.\nAnswer: -122, -8, -5, -1, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1527*m + 3082*m - 1552*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.68 + -4.9. Let d = -10.78 + c. Let x = d - -11.0017. Round x to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1161*q - 166. Let l be a(-4). Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34516 is divided by 443.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3448 + 1582?\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1) + (-144)\/(-81). What is the nearest to 0 in -4, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4268, -5004, -5, -4 in descending order.\nAnswer: 4268, -4, -5, -5004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 4)\/((-4)\/(-6)). Suppose 7 = 2*p - r*o, 2*o - 12 = -2*o. Calculate the common denominator of (2\/(-6))\/((-2)\/p) and -47\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 438 = -5*x, 2*x + 770 = 5*z - 3*x. List the prime factors of z.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 - 11*x - 2. Suppose -v = 2*v + 30. Let n be g(v). Solve -8*k - 23 = -p - 4*k, 4*k + n = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*t**3 + 2382*g - 4*t**3 - 411*t**2 wrt g?\nAnswer: -2*t**3 + 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - 16 = 0. Suppose i = -l*i + 20. Let d(x) = 2*x**2 + 9. What is the remainder when d(i) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(81\/(-15)))\/((-58)\/(-4) - (244 - 230)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5132 is divided by 1522?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*t + 4*n, -t - 14 + 4 = 3*n. Suppose -8*y + 8 + y + 6*y - t*y + y**2 = 0. What is y?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18*u**2 + 4*u - 2. Let s be o(1). Solve -2*b + 6*b - s = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51469526663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(32))*-2)**2 + 2 + 5*3*(sqrt(162) + 0 + sqrt(2)).\nAnswer: 22*sqrt(2) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 18*k + k**3 - 35*k - 12*k + 18*k + 47*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12 = 39*w - 41*w, -2*d - 4*w = -56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/48)\/(2\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpddddddddddddddddd. What is prob of sequence pd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 92?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from pwwpwplpp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0*v + 43 = 3*v, -23*v - 82 = -5*l - 22*v for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -80. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1358 - 126 = 112*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 6*j**2 + 4. Suppose 44*k = -10196 + 12528. What is the remainder when k is divided by n(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17*k**2 - 420*k - 2. Let d(t) = 2*t. Give d(y(l)).\nAnswer: 34*l**2 - 840*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(2*1*sqrt(11)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, p: 5}. What is prob of sequence oppo?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 864685349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 71*z + 120 = 67*z, -4*y - 4*z + 132 = 0. Solve -j = -33 + y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92768.99ml?\nAnswer: 92.76899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 711 + 520886?\nAnswer: 521707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 26*p**2 - 44*p - 40. Calculate the remainder when g(-10) is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5469636 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 241, 1, -550 in decreasing order.\nAnswer: 241, 4, 1, -1, -550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 87. Solve -x = i*q - 6, x - 1 = -q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 + -177. Let w = 70 + -184. Let y = 122 + w. Calculate the highest common factor of y and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572 (base 9) in base 12?\nAnswer: 1b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436630.\nAnswer: 2, 3, 5, 7, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.17 to the nearest integer.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -634658, -634602, -634452, -634160, -633678?\n\"Answer: 8*q**3 - q**2 + 3*q - 634668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/54)\/((-11)\/(-6)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + o**3 - 2*o**2 - 26 + 8*o + 2*o**2 - 13*o. Calculate u(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 14*n + 13*n = 12, 0 = x - 2*n - 4. Let r be (-928)\/(-22) - (x - 92\/(-22)). What is the highest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606345934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 a, and 1 y when four letters picked without replacement from {o: 1, v: 1, y: 1, a: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124652614, 124652615, 124652616, 124652617, 124652618, 124652619?\nAnswer: 124652620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1178*v - 1178*v + 4 + 3*v**3 + 7*v**2 to i*v**3 + m*v + c + w*v**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - -1. Let n(g) = 2*g**3 - 37*g + 7 - 7*g**2 + 39*g + 0 + 2*g**2. What is the remainder when l is divided by n(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.27653421 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 8. Let o be 3\/6 - 31\/x. Solve -o = -2*g - g + 2*i, 2*g - 3*i = 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 52 = 0. Suppose p + 3*p - 5 = n, 0 = -4*p + 2*n + 10. Let f be p + 1*(-1 + 5). Solve -o = -2*b - 4*w, f*b - 5*w = 2*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2661696366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from jsnnxwwwwwjwlxnsjws?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0) + -2 + 7. Suppose 0 = -0*i - 5*i - n. Let l be 4 - ((-6)\/(-3) + i). Which is the third biggest value? (a) -0.1 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m. Let v(j) = -2*j + 1718. What is b(v(h))?\nAnswer: -14*h + 12026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 129, 1110, 3781, 8988, 17577, 30394, 48285?\n\"Answer: 141*a**3 - a**2 - 3*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 13 = x, -x + j + 6 = 1. Suppose c - 1 - 4 = s, x*c = s - 3. Does 22 divide 9*(-3)\/s*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6e (base 15) to base 13.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -459*y**2 - 14 + 6578*y + 15 - 6697*y wrt y?\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1962deb - 4?\nAnswer: -1962e00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000344580078 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087 plus -0.5?\nAnswer: -1087.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + j = -83, -3*h - 5*j = -j + 132. Let x be 6*(-1)\/(-3)*-28. Let d = h - x. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19689, 19434, 19179, 18924?\n\"Answer: -255*k + 19944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -8. Suppose -240996 = 14*x - u*x. Let r = -337249 - x. What is r rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*t + 21. Let o = t - -20. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 1. Let i = -26 + 27. Let t(c) = 4*c**2 - 4*c - 7. Give i*t(a) + 6*r(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {f: 1, u: 2, l: 3, e: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99491156 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (-5 - (-26 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 + 28*x - 4. Let q be h(-5). What is the second derivative of 2*w - 38*w**3 - q*w**3 - 15 + 20 + 15 wrt w?\nAnswer: -414*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 4:36 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggugugguugggugggu. What is prob of picking 1 u and 3 g?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -398\/9. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*-1*215\/430\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*m + 1674 = 218 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.03216, 0.4, 621.\nAnswer: -0.1, -0.03216, 0.4, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28881 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let z(h) = 7*h + 1. Let d be (-3)\/(-3) + 18\/(-3). What is d*n(v) - z(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2714 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 34*o - 63. Let u = -363 + 377. Let b be g(u). What is the highest common divisor of 840 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 10*t**2 - 6*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 6 = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228272.4ng in micrograms?\nAnswer: 228.2724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(15\/4)\/(i\/(i**25*i*i)))**(-2\/39) assuming i is positive.\nAnswer: i**(-119\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172352 and 168053972.\nAnswer: 10772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*n - 2, -3*m = -m - 4*n + 8. Let y = 11 + -5. Factor -m*o**2 + 4*o + 3 - y + 3.\nAnswer: -2*o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 11:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/54144064 and 6\/846001?\nAnswer: 54144064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -323.1 + 323.1. Let k = -18 + 14. What is the closest to -0.1 in 1, 3, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 380.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4025a2 (base 12) to base 11\nAnswer: 623041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.15 + 8.1. Sort u, 0, -4, -3 in ascending order.\nAnswer: -4, -3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -12, 1, 5, -5 in decreasing order.\nAnswer: 5, 1, -5, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/16)\/((43596\/168)\/(-173)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 5*t + 6. Let f be h(-5). Suppose 2*n + d - 58 = 22, 3*n - 2*d - f = 0. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1113 + 21503.4.\nAnswer: 22616.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:50 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/9, 3, -1.1 in ascending order.\nAnswer: -1.1, -2\/9, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 159*w**2 - 486*w.\nAnswer: w*(w - 3)*(w + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.358 and -913.\nAnswer: -883.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 19 = -114. Suppose 5*f = -25, -3*f = w*j - 4*f - 4915. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 611.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -0.1, -2, -1\/26, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:40 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20551814 to the nearest integer?\nAnswer: 4533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 341183 - 8?\nAnswer: 341174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 44*j**2. Let u(f) be the first derivative of -2*f**2 + 38. Give u(s(y)).\nAnswer: -176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 11*o**2 + 5*o + 9. Let m(p) = 3*p**3 - 21*p**2 + 9*p + 18. Let i(t) = -5*k(t) + 3*m(t). Let b = -4289 + 4281. What is i(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a8609 (base 15) to base 8\nAnswer: -26242172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617 + 452 - 705 + 11*y - 12*y.\nAnswer: -y - 870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 - 9*v + 22. Let f(m) = -5*m**2 + 9*m - 21. Let g(c) = 7*f(c) + 6*l(c). Determine g(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.08813328994655 and 0.5.\nAnswer: 5.58813328994655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6228 + 6*h**2 - 6228.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*z - z + 3*z - z + 0*z + 4*z - 3*z + (-z - 3*z + 2*z)*(-2 - 1 + 2) - 13*z - 18*z - 18*z.\nAnswer: -43*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/((-40)\/(-15)) - 2*4. Sort 3, -1, 0, u in decreasing order.\nAnswer: 3, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -251, 5, -2, 3, 0 in descending order.\nAnswer: 5, 3, 0, -2, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2688*x - 2070*x + 1494*x in the form d + h*x and give h.\nAnswer: -3264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3830429.\nAnswer: 3830429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 25*t + 85. Suppose -b - 209 = -t*n, 9*n - 13*n = -3*b - 176. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eddd when four letters picked without replacement from uexuuudvepdeed?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16672228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 - 7931*j - 209756. Give x(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 + 105*u**4 - 3515*u**3 - 84905*u**2 - 257490*u + 345800 = 0.\nAnswer: -26, -19, -5, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-28)\/(d*d\/(d**(7\/2)*d)*d**(3\/2)))**(3\/47) assuming d is positive.\nAnswer: d**(87\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -1, -24\/7, -2.7?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/(-114)*(-3)\/45*10\/(-4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.62 (b) 47 (c) 297\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 375 = -45. Let k = 91 + x. What is the greatest common factor of k and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2460280181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 9*o - 13*o + 43, n - 5*o + 3 = 0. Solve 10 = -2*u, -n = -m + 3*u - u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -13, -22, -30\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*c**3 - 33*c**3 - 13*c + 58*c**4 - 117*c**4 + 60*c**4 + c**2 wrt c?\nAnswer: 24*c - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 6.\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*n**36\/n)**(-2\/53) assuming n is positive.\nAnswer: n**(-100\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 minus 8979184?\nAnswer: -8979223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219\/22 in -4, -0.3, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + (-10 - (17 - 7 - 13)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6. Let f(x) = -x. Let l(y) = -4*f(y) - p(y). Let r = 168 + -156. Suppose 5*a - 14*d + 22 = -r*d, 0 = a + 4*d. What is l(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 695 + -373. Suppose 0*g = 5*g - 2*x - 389, -2*x = 4*g - n. What are the prime factors of g?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.457458 + -3367.\nAnswer: -3367.457458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*v - 25*v + 11*v)*(3 - 3 + 2*v)*(-5*v**2 + 4*v**2 + 3*v**2) as c*v**3 + r*v**4 + m + t*v + k*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 102, 3 in ascending order.\nAnswer: 3, 51, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17690.1315 rounded to the nearest 100?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3291*j**2 - 52645*j + 185. Calculate c(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2784 (base 15) to base 3\nAnswer: 102120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156818947 - 1719905123\/11. Let f = 463014 - b. Let m = -264113\/286 - f. Find the common denominator of m and 149\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145203 and 17659689.\nAnswer: 5007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 27*i - 2. Let k be p(4). Suppose a - 5*u - 31 = 0, -k = -3*a + 2*u - 0*u. Suppose a = -2*o + 188. Round o to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-30)*78\/(-52)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6*j - 12. Suppose -2*z + 68 = -4*g, 3499*g = 3501*g - 3*z + 38. Put g, j, -1 in increasing order.\nAnswer: g, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*f + 13 = -f, 2*b + f = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 2\/5*q**5 - 1\/2*q**4 + 0*q**3 + 0*q + 3 + 0*q**2. Factor k(i).\nAnswer: 2*i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 83 = 2*c + 2*x, 5*x - 10 = 0. Solve c*h = 26*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 458895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u + 0*u**2 - 558429*u**3 - 26*u**2 + 45*u + 558426*u**3.\nAnswer: -3*u**3 - 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 - r**4\/12 - 7*r**3\/3 + 21*r**2\/2 - 146*r. Is z(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.137 to the nearest integer.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.818977m to micrometers.\nAnswer: 8818977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (847\/21)\/((-5)\/3). Let d = -24 - z. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/74766196 and -51\/74.\nAnswer: 74766196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -3*q + 4*q, 2*l = -10. Let s be 3\/(58\/q - 3). Let d = -33 + s. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, v: 3, b: 1, k: 2, a: 2}. Give prob of picking 1 k, 1 f, and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b - 55. Let p(q) = 4*q + 21. Let v(d) = -3*a(d) - 8*p(d). Give v(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/7)\/m*m)\/((((m**2*m*m)\/m)\/m)\/m))\/(m**(-1\/5)*m**(-1\/6)) assuming m is positive.\nAnswer: m**(-253\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 35*a**2 + 89*a - 184. Is 59 a factor of j(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - 0.1. Let g be -4*(4\/10 - 1\/2). Which is the smallest value? (a) g (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide ((-6 - -43) + -2)\/(2\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfcxcixxjxxyxxxixfj. What is prob of picking 1 y and 2 x?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 48 = -312. Let z = h + -75. Let m(f) = -2*f**2 + 40*f + 10. Is m(z) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-550)\/(-35) - (-14)\/49. Suppose 0*a = a + 12. Let l = a + k. Solve -j + l*u - 3*u = 0, 2*j = -4*u + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249 and 30828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 104*q - 28. Let y be g(-58). What is the greatest common factor of y and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Suppose w**2 + 0*w**2 - x*w**2 - 7*w + 3*w**3 - 2 = 0. What is w?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 190.67472 months?\nAnswer: 15.88956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*2*(-5)\/(-10). Let o = r + 1\/6. Let s = 0.4 + -0.3. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 5. Let a be i(-3). Let d be -3*(32\/12)\/a. Let v be (d + 2 - -1)*11. Solve 4*x - v = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 137*n - 138*n - 4, -2*i = -2*n - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**25)\/x)\/x)\/(x**(-6)*x))\/(x\/x**(-2\/17)*x*x*x**(-13)) assuming x is positive.\nAnswer: x**(661\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:04 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -41. Suppose 25 = z + 4*n, n = a*z - 42 - 33. What is the remainder when 47 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52955 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2125 = 1847. Let w = 2936\/3 + v. What is the common denominator of 61\/10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 = 4*l - 1162. What is the hundreds digit of (4\/(-3))\/((-4)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -845*v**3\/3 - 2329*v**2\/2 - 2408*v. What is the derivative of m(o) wrt o?\nAnswer: -1690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 1 + -19 - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22860.024307 - -22860. Let z = -0.024 - c. Round z to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caaccacaccca. What is prob of sequence ca?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*o - 1905 = 0, -4*o = -4*p - o + 2515. Suppose 0 = -m + 3, 2*y + m - p = 2*m. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 14. Is ((-37)\/(-5))\/((-1)\/c) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y**3 - 5 + 5.\nAnswer: 51*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -310.873 + 311. Let u = -0.073 - n. Let p = -0.2 - -0.1. Which is the second smallest value? (a) 2\/31 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 - 300. Let q = -726 + 1419\/2. Calculate the common denominator of l\/10 - 49*14\/(-140) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 16*h + 11*h)*(-4*h**2 - 2*h**2 + 4*h**2 + (-4*h - h + 0*h)*(2 + 2*h - 2)).\nAnswer: -300*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3b4bd (base 15) to base 2\nAnswer: -101110011001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119466841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = m + 762, -2*t + 1271 = 3*t - 2*m. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 141?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98994406 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s**3 + (3*s**2 - 6*s**2 + 2*s**2)*(6*s - 4*s - 3*s))*(-3*s - 2*s + 4*s).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 - 2*w**2. Let x(r) = -7*r**3 - r**2 + 6. Let y(v) = v**3 - 1. Let j(h) = -x(h) - 6*y(h). Give 2*j(g) + z(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Let b = 4.999997 - x. What is b rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**2*v**2 + 396350*c**2 + 3*c*v**2 + 127*c*v - v + 1 wrt v?\nAnswer: -16*c**2*v + 6*c*v + 127*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3571 + -3571.006224. What is c rounded to 4 decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52cc (base 15) to base 9\nAnswer: -26023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22033 (base 5) in base 4?\nAnswer: -113232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247922.8 rounded to the nearest 10000?\nAnswer: 2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - (0 + 0). Let l = 3 + -6. Let m = l + 2.8. Is m less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-10))\/((-9)\/45). Solve 5*y = -5*b, -2*b - 2*b = -3*y + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + (13 - 6) - (-9 + -3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1609*h + 3194*h - 1583*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/4 + (-6)\/(-24). Let z = -2 + 1. Let d = z + 1.1. Which is the nearest to d? (a) x (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {v: 2, g: 2, e: 1, l: 2, w: 7, c: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -366 (c) 258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113051*w**5 + 2*w**2 - 5*w + 7093 wrt w.\nAnswer: 6783060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110010111100 - -1000?\nAnswer: -111110010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 69*l - 7. Let w be v(1). What is the greatest common divisor of 155 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 + 6*j**2 - 3*j - 45. What are the prime factors of y(4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose t*v - 13 = 27. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22832460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7222945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4.132*0.2\nAnswer: 0.8264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 252002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64955411*s**3 + 18623324*s.\nAnswer: 389732466*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -85*l**2 - 3*l + 4. Let d be w(1). Which is greater: d or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.962244 * 0.04\nAnswer: 0.03848976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55860 = -2460*m + 2513*m - 612307. Is m a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 58.\nAnswer: 5, 8, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 15 - 3. Solve 3*j + g*a = -24, -2*j - 4*a - 31 = a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 551340, 1098498, 1645668, 2192856, 2740068, 3287310?\n\"Answer: j**3 + 547151*j + 4188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8185690648 + 8185686424.970021. Let j = 4223 + b. Let z = 0.03 + j. What is z rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/9)\/(10\/12). Suppose 0*d = 5*d + 2*p + 13, -2 = -u*p. Let l be (-7)\/(d - -2) + -4. Solve 4*s + 8*a + 18 = l*a, 5*a = -2*s - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80882527.\nAnswer: 11, 43, 307, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.002 in 12\/5, 84.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 + 2*s**3 + 7*s**2 - 5*s**3 - 7*s**2 + (-s**3 + 0*s**3 + 2*s**3)*(0 - 1 + 2) - s**3 - s**2 + s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 + 18*q**3 - 15*q**3 - 13*q**3 + 24 wrt q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 - -5. Let g = 0.2 - 0.4. Which is the closest to 1? (a) x (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.97 + -8.03. Which is the nearest to -3? (a) -3 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.02492\nAnswer: -0.07476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105454 is divided by 1395.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(2\/6)\/(14\/(-21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 4. Let d be q(-6). Let g = -2 - -6. Solve 0 = -d*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*o + 3*o + 2*s, 4*o = 3*s - 54. Suppose 3*q = 12, 0 = 2*r + q - 5*q - 26. Let f = r + o. Let u(i) = i**3 - 6*i**2 - i - 1. Give u(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558 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: 35*((-2)\/15)\/(36\/108)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5990573.7us?\nAnswer: 0.00166404825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.28, 0, 4\/7 in ascending order.\nAnswer: -6.28, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 202*j. Let f(a) = 1199*a**2. Calculate f(q(s)).\nAnswer: 48923996*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*j + 10408 = 0, 7811 = 3*o + 2*j - 4*j. Suppose -318 = -y + o. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-7))\/((-15)\/21 - -1). Suppose n*w + 10 = 0, 4*w + 123 + 49 = 2*h. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 2. Let n be z(4). Suppose 0 = -11*b + 102 + 789. Let a = n + b. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let x be c(-7). Suppose -27*s + 22*s = -25. Solve -2*k - x = -s*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -20, -3, 5, 0 in decreasing order.\nAnswer: 5, 0, -3, -20, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1695*q - 15312. Determine a(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-2*(-4 - 11). Let r be ((-1)\/(-3))\/(2\/k). Solve g + r = -2*l - l, -25 = 5*g - 5*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55372 a multiple of 508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-2)\/(-6) - (1 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 14*i**3 + 6*i**2 + 22*i**3.\nAnswer: 8*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 4*q + 11. Let k be b(0). Let y(o) = -3*o - 11 + 9*o - 4*o + k. Let a(c) = 24*c - 4*c + 18*c. Determine a(y(d)).\nAnswer: 76*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 + (-28 - -26) + 1 + 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 81*k**3 + 3*k**2 - 229*k - 469. What is g(-2)?\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -7*w**6\/120 + w**5\/10 - 2*w**2. Find the third derivative of r(q) wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3337 and 0.3.\nAnswer: -3336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 12 + 4. Suppose 2 = -r + y*m - 2, 1 = -4*r + m. Suppose r = x + 12 - 31. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-66))\/(10104\/4631)*(1 + -51)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k + 198 = 0. Let s be ((-4)\/12)\/(2\/k). Solve 4*f + s = 2*g - f, 0 = 3*g + 4*f + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1823584 and 882.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 130. Let i be y(-19). Let j(u) = -98*u + 89. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let a = -0.035 - 0.065. Let i = -41\/6 - -127\/18. What is the closest to v in a, i, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (2 - 0\/2). Let y(s) = t*s + 3 - 3*s - 1 - 4*s. Let k(v) = -4*v + 6. Let j(d) = 6*d - 9. Let i(r) = 5*j(r) + 8*k(r). Calculate 3*i(a) - 4*y(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4706 and 1240408.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10250715 to the nearest integer?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpieffffppfpepfppfc. Give prob of picking 1 p, 1 c, and 1 i.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.848 and 1700587.\nAnswer: 1700583.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*b + 2*c, 0*b - c = -5*b + 142. Calculate the highest common divisor of 77 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-29648\nAnswer: 14824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47275*d + 35490*d - 84839*d.\nAnswer: -96624*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-505)\/(-202)*(-8)\/175)\/(54\/63)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116880.\nAnswer: 2, 3, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.7841 - -1.7841. Let o = -0.07 - 4.93. Which is the nearest to z? (a) 1\/4 (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -5)*12\/14. Let d(k) = k**3 + 7*k**2 + 6. Does 21 divide d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3251*r - 3274*r + 4822801 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + k - 4. Suppose 5*v = 30 + 50. Let o = -16 + v. What is h(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 275 = u. What is the remainder when u is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 17.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98140514 is divided by 28250?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + 160\/(-72). Let l = 2 - d. Suppose l = w - 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 12*r**2 + 2*r - 14. Let h be u(-12). Is h smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose c*w - 13 = 1. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9862 + 9862.0024159. Round q to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190940827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -26, 2509 in increasing order.\nAnswer: -26, 22, 2509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, c: 1, n: 2, p: 1}. Give prob of picking 1 b and 2 n.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24 and -85\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 120, -82827\/5 in descending order.\nAnswer: 120, 0.4, -82827\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 315374414921?\nAnswer: 315374414923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 30*k - 3600.\nAnswer: 3*(k - 30)*(k + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-8*y + 2 - 2).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37534072?\nAnswer: 2, 4691759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2343187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 13317 = -a. Let k be 3\/(-2) + a\/(-46). What is the highest common divisor of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 1920 + 2448. Let d be 1638\/g - 1\/(-8). Solve -3*m = -d + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137.942 + -0.058. Let n = l + 135. What is the smallest value in 3, 1\/9, n, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-36))\/((-2)\/4). Let -1\/3*g**4 + 0 + 2\/3*g + b*g**5 - g**3 + 1\/3*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(2\/(-6))\/(-1). Suppose -6 = -0*j - c*j. Let p be (-1 + 1)*1\/(-2). Put -3, j, p in ascending order.\nAnswer: -3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/7 - 71242*y**4\/7 + 634961948*y**3\/7 - 9513745420*y**2\/7 + 47550922850*y\/7 - 79236702250\/7 = 0. Calculate y.\nAnswer: 5, 17803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 3. Let m(l) = 2*l**2 - 5*l - 7. Let v be m(3). Let z(g) = 13*g + 49. Let y be z(v). Let b(c) = c**2 + c + 5. Give y*b(i) - 5*u(i).\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*r + 2*g, -3*g = 4*r + g - 140. Let t = r - 56. What is t rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 199\/7729 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 883 + 2343. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218709.\nAnswer: 3, 19, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4176*m. Let h(b) = 4*b. Determine h(o(y)).\nAnswer: 16704*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s. Let f be b(-4). Suppose 3*z - z = -5*g + 37, 4*g = f*z - 60. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 15657619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2810 + -1111. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/21420 and 163\/42840?\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u - 166*u + 62*u + 70*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -696\/35 + 98\/5. Which is the fourth smallest value? (a) -0.3 (b) g (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.2 + -3?\nAnswer: -88.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165 - 3905 - 2674 = 67*z + 13 for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:02 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234\/(-4)*36\/126*((-800)\/48)\/(-25).\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214328 by -209.\nAnswer: -214328\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 285067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.81 + 0.84. Which is the third smallest value? (a) 3 (b) q (c) 2\/11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/16387 and -33\/397970.\nAnswer: 2785790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 136*z + 5 + 128*z - 251*z. Let b(g) = 3*g. Give b(j(t)).\nAnswer: 39*t + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -26, -41, -56?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 - 2. Let w = 1.1 - 1.2. What is the closest to w in -4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(180\/(-9))*3\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 58317.\nAnswer: 17495.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53284675 and 9200.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (612\/(-3))\/(176\/((-3256)\/74)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(6 + (-38)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than or equal to 122\/841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 150009.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + j**2)*(-4 - 3 + 1 + 3)*(-43 - 23973*j - 23982*j + 47931*j).\nAnswer: -216*j**3 - 387*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 + -220. What is the closest to -0.1 in -1, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*i + 397*i - 22200 = -619*i - 174*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179157539 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccicccccic. What is prob of sequence cicc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -59. Let q = -4578 - -4599. What is the smallest common multiple of o and q?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(192) - (sqrt(192) + 1))*-2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6553897 millennia to centuries.\nAnswer: 6.553897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -0*t + 4*t. Which is smaller: t or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-30))\/((-5754)\/237832)?\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54017?\nAnswer: 19, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162628621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**3 - 13*k**3 - 28*k**3.\nAnswer: -75*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(-1*sqrt(12)\/sqrt(6)))**2 + 3 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -27*i - 85. What is t(-7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -194, 1014 in decreasing order.\nAnswer: 1014, -3, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j + 113*j + 168*j + 74*j + 57*j in the form s*j + d and give s.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {z: 3, x: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996\/6*(-3)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/784 and 93\/56.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13568 divided by -12?\nAnswer: 3392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -647 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(4543 - (-5)\/(-10)*-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7912.45 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from xespuxpuspssexeesep.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:52 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.856358 decades in millennia?\nAnswer: 0.06856358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**2 + d + 1. Suppose 0 = u + 2*u + p - 13, -u + p + 7 = 0. List the prime factors of f(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3934 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 82, 2, 1, 0.1, 3.\nAnswer: 0.02, 0.1, 1, 2, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 14*y. Let j(z) be the second derivative of 0 + y*z**2 + 0*z**3 + 1\/3*z**4 + 3*z. Let c(q) = -2*q**2. What is j(c(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 440*a**2 - 36*a - 34. Let f(g) = -147*g**2 + 13*g + 12. Give -5*b(z) - 14*f(z).\nAnswer: -142*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -12*y + 7506. List the prime factors of y.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 4*a**2 - 4*a + 5. Suppose -2*l = -4*h + 6, 5*h + 2*l = -1 + 31. Determine k(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*r + 14, -3*r + n + 7 = 19. Let i = r + 5. Solve -j + i*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 2, -57?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 7*u**2 - 5*u**3 - 4*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(-1 + sqrt(8)\/(-2*sqrt(4)) + -1).\nAnswer: 5*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16334289\/8 or -2041787?\nAnswer: -2041787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5418 + 5453. Calculate the remainder when 311 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -8*h + 5*h + 3, 3*h = -4*u + 3. Suppose u*p - p + 6 = 0. Let o(z) = -z**2 + 5*z + 4. Let y be o(p). Let l(m) = -m**2 - m. Determine l(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 774 = 83*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-28))\/(1\/14). Let r(h) = -h**2 - 2*h + 7. Let l be r(-3). What is the least common multiple of 16 and l*3\/g + (-2 - -7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207982734*4\nAnswer: -831930936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, x: 4, j: 5, s: 3, a: 1, u: 2}. What is prob of sequence sj?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 63*g - 62*g + 9, -3*g + 9 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441290754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 2. Let s be u(5). Let h(c) = s*c + 5 + c**2 - 5. Is h(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -545528 divided by -5624\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2761 - 2766. What is the second biggest value in 0.5, k, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3668658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*o + 5*o - 72 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/21*-1*15\/4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 29*t = -39. Let y be 13*1*5\/5. Suppose 2*s = s + y. Calculate the greatest common factor of s and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 167.\nAnswer: -43\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 + 1)*(-2)\/(-274). Let d = h + 733\/3151. Let j = d - 67\/161. What is the third smallest value in 0.2, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 15) to base 7\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**3\/3 - 13*a**2\/2 + 3223*a. Calculate g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 - 2*q**2 - q. Let s be j(-1). Let n = 20.2 + -20. Put s, n, 11 in decreasing order.\nAnswer: 11, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6137714357?\nAnswer: 17, 967, 373363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -7. What is the second derivative of -u*p - 7*p**5 + 20*p - 10*p wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*z**2 - 230*z - 11*z**2 - 139*z + 1 - 19*z**2 to j*z**2 + o*z + g and give o.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.489 and 0.041.\nAnswer: 7.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023232 to five dps.\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -131520 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5507756 is divided by 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1030, -1029, -1028?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447545 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**20)\/(x*x*x\/((x**20*x)\/x))*(x\/x**(-6\/7))\/((x*x*x**(-3\/17)*x*x)\/x*x) assuming x is positive.\nAnswer: x**(-472\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1615 - 1607\/6460. Which is the third smallest value? (a) 6 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 2225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 9, 511689 in descending order.\nAnswer: 511689, 9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**2 + 4\/25*x**6 + 1\/42*x**7 - 2 + 127*x + 0*x**3 + 0*x**4 - 1\/20*x**5. Factor t(h).\nAnswer: h**3*(h + 5)*(5*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 217*o. Let t(y) = -15047 - 15045 + 30092 - 28*y**2. What is f(t(c))?\nAnswer: -6076*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*3)\/(sqrt(54)*5 - sqrt(6)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39598962?\nAnswer: 2, 3, 13, 23, 22073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/362, 1, -2\/3, -2, 121?\nAnswer: 3\/362","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 2 = 0. Let k be 1 + l\/4*-2. Suppose k = -n + 2*p + 2, 6*n - 2*n - 3*p = 13. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.4. Let p = 2 + -5. Let m = 64 - 64.1. What is the nearest to m in -0.4, p, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 34*w - 5*w - 56. Let k(g) = -53*g**3 - g**2 + 2. Let t(q) = 54*q**3 + 2*q**2 - 3. What is w*t(a) + 3*k(a)?\nAnswer: -51*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 131*w + 35. What is the hundreds digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 + 445 + 375*s - 231)*(-1 + 2 + 1).\nAnswer: 750*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58364, 233454, 525270, 933812, 1459080?\nAnswer: 2101074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2957524483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 28*q**2 - 29*q - 4. Let m be x(-29). Let a(l) = 2*l - 2*l - l**2 - 3*l. Calculate a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121504 is divided by 602.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/292 (c) -0.2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2\/7, -4, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 - (-2 + 14 + -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -2 + (-2 - -19). Suppose -b + 15 = -x. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841203.\nAnswer: 3, 11, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 - 5\/(15\/9). Suppose -4*z = h - 4. Sort 0, 5, z in decreasing order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r. Suppose -5*f = -4 - 16, 2*f = 5*k - 7. Let v(t) = 20 + k*t - 20. What is v(u(n))?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4.4. Let c = 0.96 + 78.04. Let g = 78.5 - c. Sort -3\/7, t, g, 5 in descending order.\nAnswer: 5, t, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/2 - u**3 - 4*u**2 - 794*u + 2. Let i(w) = 5*w**2 - 7*w - 7. What is -7*i(r) + 6*k(r)?\nAnswer: r**2 + 13*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = -32*c - 374325. Does 21 divide (-2)\/(-22) + c\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.5, 6, 4\/3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 129*x - 237. Give g(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4977186 and 1.\nAnswer: -4977186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -567 minus -0.268865?\nAnswer: -566.731135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*a - 22, 5*a - 70 = 2*c - 93 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561869764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -32010002?\nAnswer: -32010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182086 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(21) + -4*sqrt(3024)))\/(sqrt(448) + (sqrt(448) + 4*sqrt(448) + sqrt(448))*-4).\nAnswer: 47*sqrt(3)\/184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*s**4 + 2*s - 3*s**3 + 329*s**4 - 5*s + 12 - 177*s**4 in the form y*s**4 + k*s**2 + w + n*s**3 + u*s and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3292*n - 3310*n + 342 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 - -105. Let i = f - -172. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4764, -9525, -14288, -19053, -23820, -28589, -33360?\n\"Answer: -j**2 - 4758*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -59. Calculate the least common multiple of y and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.152932 micrometers in centimeters?\nAnswer: 0.0009152932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15620, -6, -0.1, 3 in ascending order.\nAnswer: -15620, -6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + (-4 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*d - 30. Let n = -45 + d. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 17 + 15 + 67?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -96*d - 1672. Let f be y(-18). Calculate the greatest common divisor of f and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4))\/(315\/126)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, c: 6}. Give prob of picking 2 c.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010000001111 - -1000000010?\nAnswer: -110001000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 0\/(5 - 4). Let a be p + 5\/(-2) + 3. Sort 1, a, 0.3 in descending order.\nAnswer: a, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -1 + -1*sqrt(1700))**2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**2 - 9*h. Let q(f) = -2*f**2 - 4*f. Let k(w) = w**2 + 9. Let r be k(0). Let o(t) = r*q(t) - 4*m(t). Let p(l) = -l. What is p(o(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44) - sqrt(396)))\/sqrt(144) + (5 + ((sqrt(22)*-3)\/sqrt(2))**2)*-2.\nAnswer: -208 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 + 1761183*b**2 - 1761183*b**2.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 + 8*d + 0*d - 4*d + d + 3*d - d - d + (-3 + d + 3)*(-1 - 5 + 5) + 0*d - 2*d + 0*d - 12 + 6*d + 12 + 72 + 8*d - 72 as k + j*d and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + p + 6. Let a(o) = -11*o**2 + 2*o + 13. What is -4*a(x) + 9*s(x)?\nAnswer: -x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(160)*4)\/(-5*sqrt(18))*-4.\nAnswer: -5 + 64*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 37 - 845*k - 14 + 19*k**3.\nAnswer: 19*k**3 - 845*k - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41718055810 and 0.21?\nAnswer: 41718055809.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*t - 179 = 0, -m = -2*t - 87 + 26. Solve 5*f - m = -71 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o - 4*o + 25*o)*(10*o - 7*o - 1 + 11*o).\nAnswer: 658*o**2 - 47*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -12383132.\nAnswer: 6191566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-4*b + 0*b + 2*b) - b + 0*b - 5*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.54.\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20, -2*r + 7580 = 5*x - 5140. Suppose -3*z - r = -5*n, 0*n + 2539 = 2*n - 3*z. What are the prime factors of n?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108666 and 144888.\nAnswer: 434664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 2 - (-3 + 11 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/(-21))\/((-2)\/6). Let z be (-2002)\/(-616) + (10\/(-20))\/(1 - -1). Is z > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15535?\nAnswer: 5, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -143, -214, -285, -356?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312681885\/1588 + 196903. Find the common denominator of 137\/2382 and m.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3542 + 63731\/18. Calculate the common denominator of j and -57\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - c - 5*c + 906*c**3 - 905*c**3 + 10*c**4 to the form u*c**2 + a + b*c**3 + z*c**4 + x*c and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 753\/10 (b) -496 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2 - 6*a - 2*a - 2*a. Suppose -11 = 7*f + 10. Is 14 a factor of i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r\/r**23*r))))\/(r\/((r\/r**(-3\/2))\/r*r)))**44 assuming r is positive.\nAnswer: r**1034","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21814676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-2*3\/(-54)*-3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 1 - 2 - -5. Suppose 2*z + 5*s + 12 = 79, -s - 100 = -5*z. Suppose 5*i + 1 = z. Solve -m + 2*m - i = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -325*k**3 - k**2 - 2*k - 21. What are the prime factors of q(-4)?\nAnswer: 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2\/13*i - 60\/13 + 2\/13*i**2 = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/180 + 73*c**5\/360 + 341*c**4\/72 - 175*c**3\/36 - 2*c**2 - 266. Solve y(x) = 0 for x.\nAnswer: -7, 1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2. Let k be (2 - 0 - 5) + 9. Let m(w) = -11*w**3 - 20*w**2. Let o(v) = k*a(v) + m(v). Find the third derivative of o(c) wrt c.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 2*d + 6. Let x be v(5). Let z = -57 + x. Suppose r - z = -2*c, -7*r + 12 = -4*r. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**2 + w. Does 18 divide m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221931 and 91928752?\nAnswer: 827358768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-18))\/((-148)\/555). Let y = -61 - -40. Let v = -9 - y. Solve -v = n - p*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)*61 + (-3)\/1. Let h be -3*o\/30 + (-2)\/5. Let w(n) = -3*n + 9. Determine w(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 70*w**4 - 180*w**3 - 170*w**2 - 55*w.\nAnswer: -5*w*(w + 1)**3*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20856989?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o + 9*o + 5*o - 6 as r*o + y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17770164 by -5923388.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**3 + 4*g**2 + 5*g - 4. Let p(o) = -11*o**3 - 5*o**2 - 6*o + 5. Calculate -4*p(f) - 5*y(f).\nAnswer: -6*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -957.242 to the nearest integer.\nAnswer: -957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*u + 5 - u - 5*u)*(7 + u - 7) - u**2 + 5*u**2 - 3*u**2 to the form m*u**2 + y + b*u and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -15*b**2 - 9*b**2 + 37*b**2. Let f(l) = -5*l. Calculate h(f(x)).\nAnswer: 325*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 12378 - 6*q + q - 3*q**2.\nAnswer: -3*q**2 + 12378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 15 - 5 - (-1 + 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179.233 + -0.233. Let v = w + -178. Which is the third biggest value? (a) -0.1 (b) -0.11 (c) v (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 39*r + 2. Calculate d(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -681 - -645. Let u = 49 + -84. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1447\/2 + -724. Let m be (-81)\/(-15) + 4\/(-10). Suppose -6 - 4 = -m*i. Which is the closest to -1\/2? (a) w (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 1 - 294*d**2 + 4*d - 338*d**2 + 574*d**2 to z*d**2 + v + b*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27904 divided by 3488.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 8*z - 1. Let a be s(-8). Let p(n) = n**2 - n - 1. Let c be p(2). Let d = -1 + c. Sort a, 3, d in increasing order.\nAnswer: a, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270954\/13 smaller than 20843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7134 - 106*l - 99*l + 204*l to the form r*l + j and give j.\nAnswer: 7134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 964680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1646839286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 9}. What is prob of sequence cc?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/9366 and 97\/126.\nAnswer: 28098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/4 + 23*w. Let k = -49 + 48. Let l(j) = j. What is k*l(y) + u(y)?\nAnswer: 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 1393, 1468, 1561, 1666, 1777, 1888?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}