diff --git "a/data/dm_maths/full_data_1/2395_11255.jsonl" "b/data/dm_maths/full_data_1/2395_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2395_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 25968 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 442242 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(1 + sqrt(1331) - sqrt(1331))**2 - -4*-1*sqrt(1331)*6) + -5 + sqrt(1331) + sqrt(1331)*-2 + -3 + (-4 + sqrt(1331) + 2 + sqrt(1331))**2.\nAnswer: -363*sqrt(11) + 5305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 6*w + 5 - 23, -2*m - w + 7*w = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v. Let f(d) = 8007054*d. Give k(f(g)).\nAnswer: 144126972*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -1b87f87?\nAnswer: -1b87f90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10030140 (base 5) to base 8.\nAnswer: -234255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 - 183. Let k(d) = 10*d - 15 + a - 12*d. Let v(g) = -3*g + 11. Give 7*k(o) - 4*v(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 >= -14\/423233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72525 divided by -24175?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w - 61. Let h be p(5). Suppose -6 = -h*s + 2*t, -8*t + 7*t - 3 = s. Solve 2*y + 2*y - 16 = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:44 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from ayoccyq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 122\/42 - (-2 - 2 - -7). Which is the second smallest value? (a) 3 (b) q (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + -2*(1 + sqrt(500)) + sqrt(500) - sqrt(500)) + (sqrt(500) + -3)*3)**2 + 2)*3*6.\nAnswer: -7920*sqrt(5) + 38214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 6*z**2 + 4*z - 8. Calculate the least common multiple of 1 and v(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d. Let i(u) be the second derivative of 31*u**3\/6 + 107*u. Give z(i(g)).\nAnswer: -124*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 1:06 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*w - 42, 12 = 2*w - 0*w + 4*c. Suppose -3*q = -5*j - 40, 2*j + 40 = 4*q - 2*j. Suppose -q*x = -w - 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 6 (b) -4 (c) -3.1 (d) 5\/2 (e) -1\/42 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbgb when four letters picked without replacement from {b: 4, c: 8, g: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128869 is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0272 * -0.3\nAnswer: 0.00816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 - 62 - 58 - 263*m**3 - 71 + 14*m**2.\nAnswer: -263*m**3 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 201497*b**2 + 3*b + 9. Is d(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-6))**(10\/7))**(1\/23) assuming n is positive.\nAnswer: n**(10\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o = 4. Let r be 2\/8 + (-26)\/8. Let h be r\/9*(1 + 0). Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3486*n + 451*n**2 + 95\/6*n**3 + 1\/6*n**4 + 5292.\nAnswer: (n + 2)*(n + 9)*(n + 42)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-25)\/(-15) + -7. Let u(n) = 8*n**2 - 7*n + 6. Let w(g) = g**2. Let x(y) = h*u(y) + 22*w(y). Factor x(r).\nAnswer: 2*(r + 3)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1015 - -0.0545. Let g = h - 1.16. What is g rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -152)*(-1 - 4 - -3). Let t = l + 348. What is the remainder when 144 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y + 105. Let c be p(10). Let a = -4 - 0. Let z = c - a. What is the highest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + k)*(-169 - 170 + 94)*((4 + 0 - 3)*(k + 1 - 1) - k + 4*k - k) + 2*k**2 - 4*k**2 - k**2.\nAnswer: -738*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798769025?\nAnswer: 5, 19, 1681619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 + 5) - (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18*p. Let s(k) be the second derivative of 0*k**3 + 2*k + 0*k**2 + 0 - 1\/4*k**4. Determine s(f(u)).\nAnswer: -972*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1587400 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 3 + (sqrt(475) + ((sqrt(475) - (sqrt(475) + 0 + sqrt(475)))*-6 - sqrt(475)))*-1)**2.\nAnswer: 240*sqrt(19) + 34208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(20\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6555 and 381528531?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w - 30 = 0. Let n(q) = 19*q + 7. Let d be n(17). Suppose -108*u - d = -110*u. Calculate the greatest common factor of w and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and 50\/17891.\nAnswer: 35782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2072 + 2077. Solve 0*x = -2*k - 5*x + 3, 0 = 5*x + u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 0.03837, 2\/3, 0.9?\nAnswer: 0.03837","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4876945 is divided by 4876591.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahhhah. Give prob of picking 2 a and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4255 - 105?\nAnswer: -4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/9, -1\/4, -2, 74\/5, -4 in descending order.\nAnswer: 74\/5, 2\/9, 0.2, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3724 and (96\/3 - 74)*3\/((-3)\/2).\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1342*d**3 - 714?\nAnswer: -4026*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -282\/653 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-24)\/z**28)\/(z**(-2\/7)*z**(-1)*z*z**0*z*z*z*z) assuming z is positive.\nAnswer: z**(-390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -99 (b) -1 (c) -3\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 11*y**3 + 18*y**3 + 13*y**2 + 9*y**3.\nAnswer: 42*y**3 + 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-5))\/((-1)\/((-6)\/20)). Which is the nearest to -1? (a) -1\/3 (b) u (c) -5 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.72335983 rounded to 4 decimal places?\nAnswer: -2.7234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/(15\/(-60))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/((-1)\/230). Suppose 5*k - q = 118. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876473 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11725 - 11720. Put -12, -1, a, 2\/5, -3 in descending order.\nAnswer: a, 2\/5, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 133*n**4\/3 + 263*n**2\/2 + 413*n. Differentiate v(q) wrt q.\nAnswer: 1064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/486 and 19\/1179.\nAnswer: 63666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454 - -22.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115690 divided by 1.\nAnswer: -115690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -717 - -1396. Suppose 3*i - j = -3*x + 293, 329 = x + 2*i. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-5))\/2)\/(323\/95).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120992734.989 - -121041357. Let a = o - 48650. Let w = a - -28. Round w to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/2499*-9*-2)\/((-30)\/14)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644732.\nAnswer: 2, 11, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.342 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/126*7)\/((-390)\/(-36)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, 62, 90?\n\"Answer: 28*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33511354 + -33511381.000022. Let t = 27 + h. What is t rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.079 + 0.121. Which is the second biggest value? (a) v (b) 0.6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48360)\/(-91))\/((24\/(-441))\/(-4)). Suppose -76*w = -31*w - q. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240 + 360. Suppose -3*i + 0 = -t. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16490.6 - 16491. Which is the nearest to -30? (a) 3\/2 (b) 2\/19 (c) g (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33210\/540 + -64)*(-24)\/(-110)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.378 - -0.1?\nAnswer: 28.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 311939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 26*q**2 + 36*q - 110. Is 6 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1125 (base 7) to base 2.\nAnswer: 110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i**3 - 10*i**3 + 54 + i**2 + i**4 - 29 + i**4 - 30 - 3*i to b*i**3 + r*i**4 + k*i**2 + u*i + f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**7*k)\/(k**(1\/8)*k))\/(k\/(k\/k**1)*k**20))**(-48) assuming k is positive.\nAnswer: k**678","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1746\/7 or 248?\nAnswer: 1746\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**2 + 24. Let f be b(9). Let y = f + 27147\/50. Find the common denominator of y and 95\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (4 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*o**4*s + 2*o**4*y**3 - 8*o**4 - 7*o**2*y + 4*s*y**3 + 3*y**3 wrt o?\nAnswer: 600*o*s + 48*o*y**3 - 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8405164 is divided by 1198.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 9. Let w(k) = 3*k - 8. Let q(h) = -5*a(h) + 6*w(h). What is the lowest common multiple of q(-3) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1622*s**2 - 193*s**2 - 651*s**2 + 1188*s**2.\nAnswer: 1966*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1613.6 * 122.\nAnswer: -196859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*a - 60 - 56. Let u = -0.3 - 0.1. Let h = 0.7 + u. What is the fourth biggest value in h, -3, 6, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002002 + -1210011?\nAnswer: -2212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = l + 14, -j - 2711*l = -2707*l + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**8\/4 - n**7\/21 + 5*n**4\/4 + n**3\/6 + 35*n + 1. What is the third derivative of g(w) wrt w?\nAnswer: 1680*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 369 = -v, 0 = -5*i - 3*v - 997 + 2850. Let z = i + -220. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j + 2. Let y(t) = 4*t - 3. Let n(x) = 2*s(x) + 3*y(x). Let b be n(5). Let r(o) = -b*o + o + 2*o**2 + 4*o. Let f(z) = 3*z. Give r(f(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555 greater than or equal to 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) + sqrt(144)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 37 - 11)*(-3*x - x + 2*x).\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 9 + 397*n**2 + 106*n**2 + 3.\nAnswer: 489*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + 0*c)*((28 - 88 + 29)*(-3 + 2 + 3) - 5 + 0 + 4)*(-3 + 4 + 6).\nAnswer: 882*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 52, 70, 90, 112, 136?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 + 4 = 0. Suppose r*x - 10 = -2*n, 4*n + 2*x + 2*x - 40 = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 10*m = 13*m + 204, 5*i - 334 = 3*m. What is the remainder when 255 is divided by i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10682.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6432 + 6395. Which is smaller: a or 23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30955 - -30961. Let d(b) = 7*b - 2. Let m(v) = -v**2 - 3*v + 11. Let w be m(-5). Let t(c) = -c + 1. What is g*t(l) + w*d(l)?\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 789605112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - (-3 - (-2 + 4)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 88, 91, 92, 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - 4 - 20. Let y be l\/(-27) - (-700)\/180. Solve -y = -6*g + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/3 + 7422*b**3 - 20022421*b**2\/3 - 385651825548*b - 2699907485681956\/3 = 0.\nAnswer: -3541, 14674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. What is the common denominator of (l - 20)*(-1)\/15 and 23\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x**5 - 398*x**4 + 2370*x**3 - 3262*x**2 + 1546*x - 228 = 0 for x.\nAnswer: -19, 2\/7, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36034521 (base 7) in base 12?\nAnswer: -1097466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmb when three letters picked without replacement from {t: 3, m: 4, b: 9}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 23 = 3*j, -j - 4*n + 9 = -n. What is the units digit of (-1)\/j + 238\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 + 72.7. Let i = -70.7 + u. Let q = -2.5 - i. What is the closest to q in -1\/4, -0.5, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 22191536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103 + -91 - (14 + -2)) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*(-5 - 1 + 3)*(2*r**2 + 5*r**3 - 2*r**2).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118630202.726 and -22.\nAnswer: 118630180.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - y + 1. Let u(q) = q**3 - 2*q**2 + 16*q + 2. Suppose 4*l - 3*d = 13, 93*l - d - 7 = 89*l. Calculate l*u(v) - 2*f(v).\nAnswer: v**3 + 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 172*r**2 - 420*r - 13643. Give z(-170).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {n: 4, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/9 - 282436*v\/3.\nAnswer: 4*v*(v - 211827)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 16*i + 28. Let l be x(14). Suppose 0 = -2*h - l + 6. Suppose -w = -4*w - 4*t, 0 = -h*w - t. Solve 0*r + 2*r - 4 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2863 is divided by 476.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -25?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k. Let f be (k - -2) + -1*5. Let s(u) = 8*u - 60. Let n be s(8). Put n, 3, f in ascending order.\nAnswer: f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 46. Suppose 0 = 2*u + 3*o - 8*o + 16, 4*o + 32 = -4*u. What is the lowest common multiple of q(u) and 284?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.96995ml?\nAnswer: 0.00396995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2489, -4978, -7467, -9956, -12445, -14934?\nAnswer: -17423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:33 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -62*a + 64. List the prime factors of v(-8).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -359\/3 + 118. Let h = -7\/3 - n. What is the closest to 5 in -2, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*t**2 - 16 + 23*t**2 - 3904*t + 39 - 23 - 1689*t**3 wrt t?\nAnswer: -10134*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1028 divided by -257\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485067023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 3053.\nAnswer: -97\/3053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/60 + t**2\/10 - 11*t. Suppose s(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*f**2*j**2 - b**2*f**2*j + b**2*f - 3*b**2*j - 21*b*j - 9*f**2 + 2*j**2 wrt f?\nAnswer: 6*b**2*j**2 - 2*b**2*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 9:02 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.348851 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)*6\/(-4). Calculate the common denominator of -2 - (-12)\/(-45)*35\/(-42) and (-56)\/y + (-2)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295553410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*l**2 - 153*l**2 + 484*l**2 - 109*l**2.\nAnswer: 625*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (88\/22 + (-4)\/2)*4. Find the third derivative of -w*k**4 - 5*k**2 + 0*k**4 + 8*k**4 - 106*k**5 - 6*k wrt k.\nAnswer: -6360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 26 - -44 - (8 - -120)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 43*q**2 + q + 43 = 0. Calculate q.\nAnswer: -43, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 29*t**2 - 17*t + 253. Calculate p(29).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -38651400 to the nearest one hundred thousand.\nAnswer: -38700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-50)\/200 + (-290)\/(-8) and 6\/(-2*(-3)\/20)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*o - 45253 = 0, -18102 = 2*a + 16*o - 14*o. Round a to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1153, -1130, -1107, -1084, -1061?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let b(i) = 7*i. Let n(j) = -7*j. Let t(s) = -3*b(s) - 4*n(s). Give x(t(u)).\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 8*r - 126. Suppose -16*d + 78 = r. Solve d = 2*v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1767, -1759, -1737, -1695, -1627, -1527, -1389?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -12) + (6 + -18 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -10609, -35828, -84913, -165814, -286481, -454864?\nAnswer: -678913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 - x - 1. Let w be o(-6). Suppose 9 = 3*f - v, 2*v = -5*f + f + 2. Suppose m + 12 = -f*p, 0 = m + w*p + 16 + 8. Sort 1, m, -3.\nAnswer: m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:59 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 138\/430919 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d - 17*d - 4*d - 2*d - 18*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:51 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 12*s**2 + 42*s + 23. Calculate q(15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:48 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0 + 1\/3*l**3 + 0*l - 7\/24*l**4 - 32*l**2. Give a(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2172)\/(-1448))\/(6\/(-136))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l - 38. Is 5 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5117 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 2:56 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1203240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7485 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-7) - ((-9 - -13) + -1).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 926949 + -2366949. What is t rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4092, -4130, -4168, -4206, -4244, -4282?\n\"Answer: -38*t - 4054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*b - 4 = -0*j, 2*b = -5*j. Let t(k) = 3*k**2 + 6*k + 4. Let f be t(j). What is the greatest common factor of 24 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-104))\/(3\/2). Let i = 428 + -429.213. Let f = i - -3.213. Which is the nearest to 1\/5? (a) -0.4 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 49. Let d(q) = -q**2 + 1. Let c(f) = -f**3 + 3*f**2 + f - 2. Determine o*c(h) + 2*d(h).\nAnswer: -h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 754733 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/14 - 18\/(-4). Suppose -14*k**5 + 13*k**5 - 2*k**n + 0*k**3 - k**3 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 47\/152?\nAnswer: 47\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*r - 524 = 0, -2*q - 62*r + 840 = -46*r. Calculate the remainder when 489 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39023209999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 1. Let n(o) = -5*o + 8. Let d(q) = -n(q) - 4*v(q). Determine d(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 + 0*v**4 + 2*v - 7*v - 2*v**4 wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -587, -596?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448) + sqrt(315)\/sqrt(5) + 2)*2.\nAnswer: -26*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 98 - 322. Let u be (-91)\/(-28) + 4\/x. Solve 2*z**5 + 0 + 8\/5*z**2 + 8\/5*z + 4\/5*z**4 - 6*z**u = 0 for z.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4365449 nanoseconds in microseconds?\nAnswer: 0.0004365449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 > 228\/160627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2374832*g + 2381941 with respect to g.\nAnswer: 2374832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h + 1. Let z(t) = -43*t**2. What is p(z(r))?\nAnswer: 817*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 30*q - 3 + 3.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.02, -0.06 in descending order.\nAnswer: -0.02, -0.06, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 3. Let x(t) = t + 3. Determine l(p) - 6*x(p).\nAnswer: 2*p - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let m be s(-5). Let g(t) = 3*t**2 - 1 + 7*t - 1 - 4*t**2 + 1. Let b be g(m). Solve 14 = -2*c + 2*f, 0*f = 3*f - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 59\/6 - (-7)\/42. Solve 0 = 2*h - f - 11, -f - f + m = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 36 = 15*s - 4*y - 8*y + 19*y, 4*s = 5*y - 33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*a - 3*v, -v = -a - 4*v + 20. Let s = -5 + a. 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: How many minutes are there between 11:25 PM and 1:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198 - -57. Let h = -139.02 - v. Let s = -0.02 - h. What is the smallest value in -0.4, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -995, -1487, -1975, -2459, -2939?\nAnswer: -3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-14))\/((-4)\/(-2612)). Let a = -93 - h. Determine v, given that 8\/7*v**3 - 2*v**2 + 4\/7*v + a = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 17 = -11*s. Are -3\/64 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8314172 divided by -19.\nAnswer: -437588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/5, -6\/13, -22.\nAnswer: -22, -16\/5, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 20\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - g = 3*s - 11, -14 = s - 2*g. Let x be ((-10)\/15)\/(s\/(-12)). Suppose 2*f + 3*p = -1, -6*p = -4*f - 4*p - 10. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 - t - 1. Let q(b) = -b**3 - 3*b + 2. Suppose -3*a - 2*a - 10 = 0. Let u(c) = a*m(c) + q(c). Let i be -1 + 0 + -1 + -1. Give u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*q**3 - 128\/9 + 160\/9*q - 34\/9*q**2.\nAnswer: 2*(q - 8)**2*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1048531 + -369857. Let q = i - -1076412. Let g = -6855086 + q. What is g rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 941519 = 641032. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*k - 181 = 3*r, 249 = -4*r + k. Suppose -1177 = -13*p - 358. Let l = p + r. Solve l - 7 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let x = -5 + 5.1. Which is the second smallest value? (a) 2 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 3*n**4 + 13 + 7*n**2 + 5*n**4 + n**3 - 29 in the form c*n**2 + t*n + q + h*n**3 + v*n**4 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 658619 and 3293095?\nAnswer: 3293095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-18) + 4\/(-6) - (-7)\/5. Let a = -2\/63 - -67\/126. What is the closest to 35 in 0.3, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366091381767\/2530 + 144700148. Let f = u - 3\/230. Calculate the common denominator of f and -11\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/36 - -1)\/((-5)\/9). What is the fifth biggest value in -2, g, 4, -86, 0.2?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27178 or 27174?\nAnswer: 27174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.63 + 16. Let a = w - 15.37. Let r = -14.823 - a. What is r rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*x = 162*x - 1024. Solve -70 = 3*c - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 17*x + 2. Let i be k(11). Let b = i + -460. What are the prime factors of b?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/555, 5\/6, 1\/4, -3, 241 in increasing order.\nAnswer: -3, -1\/555, 1\/4, 5\/6, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 756 - 2700. Suppose -2*p = -k - 4, -2*k + 3*p = 4*p - 7. Suppose k*q = -q + g. What is the highest common factor of 135 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - (-5 - (-4 + 55))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27960 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzoveeeie. Give prob of picking 2 z, 1 i, and 1 e.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 + 2. Let g = -4 + 7. Solve 32*u + 79*u**2 - 25*u**2 + 4 - t*u + 14*u**4 + 76*u**g - 30*u**3 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -20. Let g be (-13)\/(w\/(-16) - 0). Let j = -20 - g. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 104\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -1\/9 (c) 135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7928, -7927, -7926?\nAnswer: -7925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x. Let h(r) = -7*r**2 + 6*r + 4. Let l(y) = -h(y) - 6*w(y). Calculate the least common multiple of l(-3) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. Suppose -x - 5 = w + 2*x, g*w - 50 = 2*x. What is the least common multiple of w and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10346, 10350, 10354, 10358?\n\"Answer: 4*o + 10342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(6\/180*-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*v + 309*v = -11310 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -6\/11, 0, -1, -158, 0.4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 46856\/(-40))\/(9\/(-390))?\nAnswer: 2, 3, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8911 is divided by 8894.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -365, -1531, -3497, -6263, -9829?\n\"Answer: -400*x**2 + 34*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 2*u = 160. What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 39*z**2 + 8*z + 84. Determine n(-6).\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 - 10*k + 1. Let t be l(7). What are the prime factors of ((-8)\/t)\/(2\/70)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnrnao. Give prob of sequence aonn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*n + 82, 2*v + 3*n + 78 = 4*v. Let z be (-6)\/27 - (-76)\/18. Calculate the greatest common factor of v and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 14*p - 11. What is the smallest common multiple of 22 and l(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/95 (b) 0.3 (c) -0.19 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1066436320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -537, -745, -953, -1161, -1369?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1110001110001011010000?\nAnswer: 1110001110001011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**2*x**3 + 2006*v**2*x**2 - 41*v**2 + 21*v*x**4 - 4*x**4 + 56*x**3 wrt x?\nAnswer: 18*v**2 + 504*v*x - 96*x + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30202 - 1001101121?\nAnswer: -1001131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 f when four letters picked without replacement from {f: 5, a: 5, q: 1}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(21)\/sqrt(63))**2 + sqrt(192) + 4 + -1 + sqrt(192).\nAnswer: 25\/3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 + -196. What is the greatest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.5, -4, -3, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 7, n: 6}. Give prob of picking 1 b and 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/3*(0 - 3) + 2. Let q = 7 - -10. Suppose -18 = 5*x + q. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 1 - 1 + (-54*v - 58*v - 31*v)*(2 + 6 - 4)*(3 - 3*v + 0 - 4) as g + o*v + f*v**2 and give o.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + u - u + (-4*u + 5*u + 6*u)*((-1 - 2 + 1)*(2 + 0 + 0) + (1 - 3 + 1)*(318 + 243 - 186)).\nAnswer: -2651*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -994*n + 989*n = -32360. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g + 12*g = 16*g - 1911. Calculate the highest common factor of 1872 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1981*y**2 - 674*y**2 - 669*y**2 - 655*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (26 + (-158 - -2)) - (22 - 7).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 18 = 3*v, 3*v - 35 = -v + r. Let s be 1 + (3 - (-2)\/(-4)*-2). Suppose 0 = s*b - 0 - 5. Solve 0 = 3*d + v + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632091 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 31. Let j be m(-14). Suppose -4*v - i = -11, -3*v - j*i + i + 12 = 0. Is -4 + 2 - (v + (1 - 1368)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 4. Calculate i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105 (b) 23 (c) -172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-26 - 6)*27\/(-6) and 53\/(0\/2 - 20).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1355.2 millennia?\nAnswer: 1355200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252*i - 22*i**2 + 252*i)*(-4*i + 2*i + 0*i) + (3*i + 2 - 2)*(36*i**2 - 5*i**2 + 0*i**2) as v*i**3 + o + u*i + a*i**2 and give v.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7482 and 3634222?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + t**2 + 1 - 2*t**2 + 0*t**2. Let r be g(-3). Sort -3, r, 0 in decreasing order.\nAnswer: 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-55)*(-1 + (-1066)\/117 + 9).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -612*x - 79. Let l be o(-20). Let s = l - 40861. Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b721 - -6cb?\nAnswer: 8c11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4901381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26773030771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/11 - 16*t**3\/11 - 25*t**2\/11 + 42*t\/11 = 0?\nAnswer: -14, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -330 - 475. Suppose -6*c = -181 - n. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 10. Let w be (-35)\/7 - 0\/3. Let o(x) = -x - 1. Let i(m) = w*f(m) + 35*o(m). Differentiate i(v) with respect to v.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.2194 + 0.2194. Which is the second biggest value? (a) g (b) 5 (c) -1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 3*h + 2. Let r be j(2). Suppose -r = -4*o - 0*p + 2*p, -3*o - 3*p = -21. Find the second derivative of a + a - a**o + 0*a**5 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8404, 16824, 25246, 33670?\n\"Answer: w**2 + 8417*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*x + 3*k - 2726, -x = k - 1363. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160257 or 160256?\nAnswer: 160257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1028*q**3 + 3 - 3 - 304*q**3 - 437*q**3.\nAnswer: 287*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:24 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1428036 and 2832?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22190767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.153 - -90.153. Let t = i - 90.172. Let p = t - -0.22. What is p rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from oojooojjoojooj.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, q: 1, w: 2, s: 2, k: 1}. Give prob of sequence sq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1180*d**5 - 10*d**3*n**2 - 2*d**2 - 110*d*n**2 - d*n - 34 wrt d.\nAnswer: -70800*d**2 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2602 + 2544. Is k at least as big as -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*o**3 + 2*f**3*o**2 + 2*f**2*o**4 - 2*f*o**2 + 5321*o**3 + 1727 wrt o?\nAnswer: -6*f**3 + 48*f**2*o + 31926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 449\/18, 2.34, -1?\nAnswer: 449\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x - 79. Calculate the remainder when 61 is divided by p(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12505082 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (114\/45 + 30\/(-12))\/(35\/((-490)\/(-84)))\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:05 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1393*i**2*k**2*n**3 + i*k**2*n - 35*i - 12*k**2*n**3 wrt i?\nAnswer: 2786*k**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9736111 to the nearest integer?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 2)\/(185\/148)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27821?\nAnswer: 43, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**5 - 210*a**4 - 2015*a**3 + 3090*a**2 + 8140*a - 9000 = 0.\nAnswer: -25, -18, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3 - 12. Let u be 33\/120 - r\/24. Let k = -2\/9 - -8\/9. What is the closest to k in 5, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 38.5, -2\/9, 9\/41, -0.1?\nAnswer: 9\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1609\/4 in 5, -42, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*t + 73 + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 8*i**3 - 13 + (2*i**2 - 2*i**2 - 2*i**3)*(1 - 5 + 3) + 2*i**3 + 0*i**3 + 0*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 48, -1\/136, -777, -3 in descending order.\nAnswer: 48, 2\/11, -1\/136, -3, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 2\/3*m**3 + 10\/3*m**2 - 16\/3*m.\nAnswer: 2*(m - 3)*(m + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 2 + c**2 + 0*c**2 - c)*(4 - 3 + 1 + (0 + 3 + 1)*(-3 + 1 + 0)) to s + z*c + l*c**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/60)\/(1 + (-10462)\/10468). Let o = f - -291. What is the biggest value in 0.5, 4\/15, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.79 - -13. Let y = f + -0.210072. Round y to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**6 - h**5 + 63*h**2 wrt h.\nAnswer: -840*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.2 rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 61230552 divided by -1\nAnswer: -61230552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -33. Let r = i + 2. Which is smaller: -1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179334 and 226566?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10970166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1536 and -43\/2196.\nAnswer: 281088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12036325 <= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*q**3*z - 1449*q**3 - 14*q*z**2 wrt z?\nAnswer: -7*q**3 - 28*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(3\/5)\/t*t\/(t**(-10)*t)*t assuming t is positive.\nAnswer: t**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -0*x + 440. Let n = x + -130\/3. Sort n, 4, 5 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and -4.5262.\nAnswer: -3.4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(72) - (sqrt(72) - -5*(-5*sqrt(72) + sqrt(72))) - (sqrt(2) - (sqrt(2) + 0 + -2))*4)**2 + -5)*-3.\nAnswer: -5760*sqrt(2) + 86607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 137, -2, -4.\nAnswer: -4, -2, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1167 + 1190 - (8 - (0 - (2 - 3))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, 1 t, and 1 l when four letters picked without replacement from {t: 1, i: 1, e: 3, u: 3, z: 2, l: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1144\/8355 - 2\/557. Let o = -66903 - -66899. Which is the nearest to o? (a) -3\/2 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606094270?\nAnswer: 2, 5, 6961, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-1 - 3\/6). Suppose 3*w + t = -0. What are the prime factors of (-7)\/w - (-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/36*(504\/48)\/7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -94961969556 and -2.\nAnswer: -94961969558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.02, 18068?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -111?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3217624, -3217615, -3217604, -3217591?\nAnswer: -3217576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*n - 28. Suppose -n = -4*j - 3. Is 5 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4459 + 4459. Which is the biggest value? (a) -2\/53 (b) t (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = k + 4*k - 24, -5*k = f - 26. Suppose -k*l = 2*c - 2, 5*c + 13 = -3*l - 1. Let w = c + 14. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23166 divided by -81\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123359.\nAnswer: 281, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (417*o - 8621 + 8621)*(-o - 4*o + 2*o) in the form j*o**2 + n*o + a and give j.\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2668*q + 49826 = -163614 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/5625 + -114373\/5625. Let y = -179\/5 + 34. What is the common denominator of c and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)\/((v\/(v**(-4)\/v))\/v)*((v*v*v*v**(-1\/5)*v*v)\/v)\/(v**(2\/9)*v))\/((v\/(v\/v**8))\/(v*v**0*v*v))**(-39) assuming v is positive.\nAnswer: v**(8756\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) + 2\/1. Let r(x) be the first derivative of 1 + 0*x**2 - 1\/12*x**3 + l*x. Factor r(a).\nAnswer: -a**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.9 (b) 4 (c) -1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4\/38 + 7*z**2\/19 + 12*z\/19 - 15. Factor w(i).\nAnswer: -2*(i - 3)*(i + 1)*(i + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15813*r - 61*r**3 + 25*r**3 - 15813*r + 17*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.9 - -10.4. What is the third smallest value in -2\/7, -31, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1025, 35\/4, 4, -2\/15, -2\/11, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**10\/6048 + r**7\/360 + 5*r**4\/6 + 10*r. Let q(v) be the third derivative of z(v). Find the third derivative of q(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395 + 689. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*a - 3 = -43, -8 = s - 3*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q**4 + 25*q**3 - 230*q**2 - 400*q - 160 = 0. What is q?\nAnswer: -4, -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(0 + 1) + 6820009. Suppose 5*z + 10*x = 8*x + v, -3*z + 4092003 = x. What is z rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 18 = -3*g, -4 = -g - 3*n + 2. Let o(c) = -c**3 + 8*c**2 - 5*c + 4. Calculate the smallest common multiple of o(g) and 22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 - 3*s**2)*(5*s**2 - 4*s**2 - 2*s**2) + 9*s + 899 + 17*s**4 - 899.\nAnswer: 18*s**4 + 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 274572 and 1207170?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u + 31 = 3*o, -o - 3 = -2*u. Is 5 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/36 - 7*n**3\/6 + 49*n**2\/3 - 68*n - 4. Let g(i) = 0. Calculate i.\nAnswer: 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 25*d**3 + d. Let t be y(1). Solve 4*r + 14 = -2*q, -6*q + q - r - t = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {o: 3, l: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -21*b**2 + 464*b - 50. Let w be f(22). Let i(t) = t**2 + 5*t + 0*t**2 + 4 + t. Calculate i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 times -20.082\nAnswer: 9.43854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*o + 26 + 106*o - 225*o as p + t*o and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(4)*-4)\/(-4*3*sqrt(3)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 46580.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 1048\/299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15214 - -54?\nAnswer: -15160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 3*k, 3*k = 4*u - 12 + 1. Let p(a) = a**2 - 2*a - 3. Let l(g) = 3*g**2 - 4*g - 7. Let s = -248 - -246. Determine s*l(v) + u*p(v).\nAnswer: -v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15504, 31164, 46824, 62490, 78168?\nAnswer: 93864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12, -6*s + k + 28999 = -3*s. Let v = -1764 + s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 385, 401, 417, 433, 449?\n\"Answer: 16*m + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, a: 6}. Give prob of picking 2 a and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/32*(-2)\/(-3)*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/18 - 1\/2)*1746\/2910.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1343\nAnswer: 268.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6048 and 24808.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218813741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 4*r**2 - 390 + 785 - 395.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) 0.1 (d) 1\/3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*y + 0 = -7, t - 5*y = -7. Let b(r) = 25*r**2 + 8. Let o be b(t). Let l = o + -110. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**5\/35 + 5*t**4\/14 - 2*t**3\/3 + 3*t**2\/7 + 790. Suppose k(b) = 0. Calculate b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d + 9 = 0. Let l(a) = a**2 - 2*a + 4. List the prime factors of l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 8 (c) -4 (d) 230 (e) -0.2 (f) -6807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350*y = -1361*y + 1735*y + 41496 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152127*j**2 - 12015*j**2 + 102229*j**2 - 147588*j**2.\nAnswer: -209501*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 24. Suppose u = j + j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/7672875 and -43\/613830.\nAnswer: 15345750","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -4*u + 8, 0 = -o + u + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*sqrt(312) - sqrt(312))\/(sqrt(512) + (sqrt(512) - sqrt(512)*-1)))\/(((sqrt(33)*1)\/sqrt(11) - -5*(-1*sqrt(3) + sqrt(3)))*5) + 5)**2.\nAnswer: -3*sqrt(13)\/4 + 40117\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 14*p + 1 + 13*p + (5 - 4 + 0)*(-56*p + 40*p - 61*p) + p - 2*p + 2*p.\nAnswer: -77*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 - (13 - -2). Suppose -5*v + 2*b = 53, -43 = v - 2*b - 34. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46984\/(-26180) + 1280\/704.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 935922.7 + -935787.69921. Let d = 135 - q. What is d rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 1.1. Let k = -12 + 7. Let h be (-1)\/k*(-12 - -10). What is the third smallest value in h, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25940 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 - 4*o - 8.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6 + 156*f**3 - 37*f**2 + 3 wrt f?\nAnswer: -240*f**3 + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 9) in base 16?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2, z: 3, u: 10}. What is prob of sequence wz?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = -u - 0, -7 = 3*u - 4*k. Let w = -0.05 - 35.95. Let t = w - -31. What is the nearest to 0.3 in t, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5984094633 to the nearest integer?\nAnswer: 77357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - o + 4 = 0, -3*x - 2*o - 2*o + 16 = 0. Suppose 0*y + 2*y - 56 = x. Let i = y + -20. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(2160) - (sqrt(2160)*1 - sqrt(2160))*-3)\/(((-1*sqrt(108))\/sqrt(9) - sqrt(12)) + 1*sqrt(12)*-1).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:53 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = -2*c, -5*c = 2*n - c + 8. Let o(u) = 25*u + n + 2 - 10*u - 13*u. Let s(g) be the first derivative of -2*g**3\/3 + 2. Give s(o(d)).\nAnswer: -8*d**2 - 32*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**3 + 0 + 0 - 3*o**3)*(21 + 4*o - 19 - 6*o) as d*o**3 + p + s*o + l*o**2 + k*o**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883.00011624 - 883. What is f rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2423 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6 + 5. Let d = -8 - m. Suppose -r = -0*r. Solve -d = -a - r*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11264)\/320)\/(-88)*-25.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-403*(-165)\/2860).\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 6*m**2 - 3*m - 2. Suppose -10 = n + 2*n - 2*z, -n = -3*z - 6. List the prime factors of w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -538729*f**3*p**3 - 6*f**3*z**2 + 7*f**2*p**3 + 81929*f**2*p - 5*p**3*z**2 wrt f?\nAnswer: -3232374*p**3 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (5 + (0 - 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -v - 4*f, v - 3 = f. Let c(j) be the first derivative of 341*j - 337*j - j**v - 12 - 17. Determine c(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 - 14*v**4 + v**3 + 18*v + 2*v**3 + 12*v**4 to c*v**3 + i*v + r*v**2 + x + p*v**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 35. What is the remainder when d is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 - 3 - -4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8821428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4 (c) -4\/9097 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/30 - c**4\/12 - c**3\/6 - 24*c**2. Determine r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*g = 4214 + 2182. What is the remainder when 359 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 34, 38, 42, 46?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23666*j - 7133.\nAnswer: -23666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-7) - (-888)\/56. Let g = j - 11. Which is the biggest value? (a) -0.1 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 3*d - 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 23720\nAnswer: 1\/11860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(63) + 4 + sqrt(252))**2.\nAnswer: 288*sqrt(7) + 1262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209210874.\nAnswer: 2, 6763, 89399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2735\/12947 + 74\/321. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1 + (-44)\/(-28)). What is the nearest to 2\/3 in t, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*b - 14. Is -1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let y be 13\/7 - 42\/(-294). Let i be (-1 - -4) + 8 + -6. Solve -s*a + i*z = -40, 4*a + y*z = z + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.3 (b) 4 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 11*b - 13. Determine o(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 4*n - 52, -3*n + 5 = f. Calculate the common denominator of (-61)\/f - (-1)\/(1 - 0) and (1\/(-22))\/((-6)\/(-6 - 636)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 5*u + 18, -4*z + 38 = -3*u. Let h = z + 8. Suppose -5*n + 216 - h = 0. Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1200)\/(-225)*(-1083)\/(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmmo when four letters picked without replacement from womrrmmrrmo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 0. Let d = -0.09 + s. Let q = 0.64 + 4.36. Sort d, q, -4 in decreasing order.\nAnswer: q, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let t be -3 + (6\/n - 0). Suppose -2*y - 2*y = -4*x + 220, 2*x + 4*y - 140 = t. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 6 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505202901 to the nearest integer?\nAnswer: 22477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 5 - 13)*(1 - 7 - 1)*(2 - 2 + 2*d) as t + k*d and give k.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 473775 = -1259175. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b4 + 4?\nAnswer: -11b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -507\/5*q**2 - 48\/5 - 312\/5*q.\nAnswer: -3*(13*q + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 - 12. Let w be m(4). Is w\/(-12) + 11 + (160 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1, 5, -4, -16, -279 in descending order.\nAnswer: 5, 1, -4, -16, -35, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -3 + 3 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d**2 - 2*d**3 + 7*d**2 - d**3)*(5*d - 2*d - 6*d) to n*d**2 + m*d**4 + o*d**3 + s*d + c and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3090321458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/(-4 + 6). Let b(i) = i**2 + 23*i + 4. Let f be b(-22). Let o be 3\/(((-19)\/(-57))\/(4\/f)). Put z, o, -5, -4 in descending order.\nAnswer: z, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:45 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.447 - -21.553. Let j = 78.6 - 61. Let i = j - p. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/2 - 8955*q**2\/2 + 20194947*q\/2 - 656717193\/2 = 0.\nAnswer: 33, 4461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-6 + (8 - 4 - 11) - -22) + -48?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 11*s - 14*s + 52193, 4*i - 69544 = -4*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 259.6 and 2?\nAnswer: 519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -789272833\/15936 + 148583\/3. Find the common denominator of c and -143\/12.\nAnswer: 15936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 35*j + 4. Calculate p(-2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 36*g - 58*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -93 (c) -15 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + 10 + 591\/108 + (-2)\/6. Let v = -437 - -7877\/18. Let j = m + v. What is the biggest value in 0.3, j, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-608)\/(76 + -38) - (-702)\/44?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t - 20*t + 28*t)*(0*t + 2*t**2 + 0*t).\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 - -36.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1993868 and 27415685?\nAnswer: 109662740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10652699 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -7, 1101, -0.2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 79315*f - 8962615. Give j(113).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by (-34 - -7)*(-4)\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**(2\/31)*h**(-12)*h**(-1\/6) assuming h is positive.\nAnswer: h**(-1133\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 117\/4 + -19 + 5\/(-4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35151 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let o(d) = 3*d**2 - 107*d - 2. What is o(p(l))?\nAnswer: 12*l**2 - 214*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/32 or -1244\/11?\nAnswer: -1244\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391290 is divided by 1559?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 2061, -2\/7, -5, -2\/11 in ascending order.\nAnswer: -5, -3\/5, -2\/7, -2\/11, 2061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 9*w**2 - 5*w**2 - 3*w**3)*(2*w - w**2 - 2*w).\nAnswer: 4*w**5 - 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.07 + 0.07. Let s = -47 - l. Which is the second smallest value? (a) 4 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*k*x**3 + 2*k*x**2 + 35*x**2 wrt x.\nAnswer: 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-4))\/(-1) - -31. Solve 40 = u*y + 184 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 100. Suppose -a - u - 3*u - 5 = 0, x*a = -2*u - 15. Let p(y) = 4*y**3 - y**2 + 3. Let h(r) = 7*r**3 - r**2 - r + 5. What is a*p(t) + 3*h(t)?\nAnswer: t**3 + 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 1 - 2*a**3 - 1 + (15*a**2 - 16*a**2 - 10*a**2)*(-1 - 1 + 4 - 2*a) to the form r*a**2 + p*a + v + h*a**3 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - m + 10 = -5*s, -5*s - 10 = 2*m. Let b = 749 + -748. Put 0, s, b in decreasing order.\nAnswer: b, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*q - q - 3*x, 0 = x. Let r = 4 - 5. Let k = r + 0. Which is the closest to q? (a) -0.5 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 535*m**5 + 482*m**2 wrt m?\nAnswer: 32100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3399, 6725, 9645, 11955, 13451, 13929?\nAnswer: 13185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2106*z + 2*z**2 - 15 - 33*z**2 + 2106*z.\nAnswer: -31*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3920409.\nAnswer: 3, 37, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 129 + 564 = 138*y. Solve 6 = 3*f - y*w, 16 = f - 2*w + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n. Let v = -2 + 2. Let i = v - -3. Let j(o) = -4*o + 5*o - i*o. Give j(a(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 12*v + 108 = 0. Let x be 7 + -3 + -2 - (-1 + 2). Solve -v = -b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-737)\/(-1056)*-4 and 32\/88*10\/(-8)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67b0 + -2?\nAnswer: -67b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.55 (b) 4 (c) 7 (d) -3\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 71 - 146)*(b + 3*b - 5*b).\nAnswer: 202*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312149 and 110370.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -10. Suppose 0 = -i*w + 3*w + 27. Let v be 4\/14 + (-5528)\/(-56). Calculate the greatest common factor of v and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9 + -1 - (-14 - 0 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772.6684ng to kilograms.\nAnswer: 0.0000000007726684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -85, -86, -87, -88, -89?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109973 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -87968019, -87968018, -87968017?\n\"Answer: p - 87968020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j + 6 = 0. Find p such that 2 + 0*p - 5 - 9*p**2 + 8*p + p + 3*p**j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1508, 3006, 4504, 6002, 7500, 8998?\n\"Answer: 1498*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-471)\/(-3) + (-9)\/3. Let y = s + -85. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41858*i**5 - 277*i + 41 wrt i?\nAnswer: 837160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {d: 5, e: 6, y: 2, b: 1, n: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose -6*v + 3*z + 44 = -5*v, 0 = 4*v + z - 202. Suppose r = -k*r + v. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -h - 4*h. Suppose 171 + 4 = h*q. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-44)\/(-12))*(-2)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43352322 (base 6) to base 9\nAnswer: -2375575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -809e - 3?\nAnswer: -80a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = x, 7*x - 2*x - 4*n + 1 = 0. Let q be 4*2\/(-4) + 4. Let y be 2 + -3 - (-20 - 1). Solve -y = x*b + q*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*q - 2*q. Suppose -q*g - 3*t + 60 = -2*t, -3*g + 4*t = -112. Suppose 2*j - 5*o = -2*j + g, 40 = 5*j + 3*o. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*l**3 + 2*l + 0*l**4 - 68*l**3 + l**4 - 2*l**2 + 148*l**3 to w*l**2 + b + r*l + q*l**3 + j*l**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvcccycrcccccgcggc. What is prob of sequence yvr?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 0, 0 = -4*m + j - 12 + 31. Let y be 12\/7 + 4\/14. Solve -4*i + y = -m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6296.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -117. Let z be 1 + 4 - (2 + -1). Does 25 divide ((-50)\/z)\/(3\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:11 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/11, 0.2, -4, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7887920609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 1. Let v(m) = 10*m**2 - 2*m + 11. Suppose -4*i = 2*h - 3*i + 41, -4*h + 5*i = 103. Give h*q(t) - 2*v(t).\nAnswer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 75*t**2 + 186*t**2 + 253*t**2 + 0*t**3.\nAnswer: -t**3 + 364*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5395889 and 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -3 + 2 - 306\/340*-10. Let i = -1 - -1.2. Which is the second smallest value? (a) r (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7531223*f*s**2 - 3*f*s + 15079*s**2 + 14985 wrt f.\nAnswer: -7531223*s**2 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/3 (b) 21666\/5 (c) -3 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 63. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108*h**4 - 3*h**3 - 8703*h + 13763693?\nAnswer: -432*h**3 - 9*h**2 - 8703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 11*l**2 - 15*l - 35. Calculate the remainder when 119 is divided by z(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4807)\/3762 - 38\/(-684)\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25849 - 25852. Which is the second smallest value? (a) -0.1 (b) w (c) 78 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(704)*-2)**2 - -3*(-1*sqrt(11) + 3).\nAnswer: -8439 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 9928648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -107*y - 71*y - 29 + 24*y. Is p(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 + 568. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeegsgees.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 3 - (2 + 75 + 0). Let u = 74 + i. Let n be 2\/(-19) + u\/(-38). Solve 6*j - 4*j + 6 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jon when three letters picked without replacement from njnnnjnjjjo?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18890*s**6 - 2*s**4 + 213*s**3 + 13*s**2 - 5*s + 605167 wrt s?\nAnswer: 2266800*s**3 - 48*s + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 21. Let o be 6\/14 - 115\/a. Let i = o + 62. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + z**3 + 0*z**4 - 26 + 2*z**4 + 64 - 4*z**2 as x*z**2 + f*z**4 + b*z + j*z**3 + d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 13*h - 9*o - 2, -4*h + 14 = -3*h + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/1)\/2*1. Let l(z) be the first derivative of -9*z**2\/2 - z + 9. Calculate l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559*y + 112*y + 68430 = 390*y - 6887 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r + 9*r + 6*r + 14*r + 12*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5147.076 litres in millilitres?\nAnswer: 5147076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 9*y - 11. Calculate m(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {f: 3, y: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -29*n**2 - n + 2. Let d be r(-2). Let g = 256 + d. Suppose -x = 3*x - g. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 2*v**2 + 5*v - 6. What is p(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - d - 1 = 9, -3*b + 15 = 3*d. Let 6*u**2 + 5 - 49*u + 7 + b*u**3 + 28*u = 0. Calculate u.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 + 39 = 3*y. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.28, -0.04, 1\/6?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -5*k - 136800. Suppose 3*c - 15*c = k. Round c to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061966*p**2 - 2123925*p**2 + 8*p + 1061957*p**2.\nAnswer: -2*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 3. Let k(w) = 3*w + 28. Let q be k(-10). What is the smallest common multiple of -15*(2 - q\/(-10)*y) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j - 97. Determine o(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-3)*1\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 116*w**3 - 2*w. Suppose 3*a - 7 = 23. Let v be y(a). Suppose 0 = 5*f - 3*u - 44986 - 100026, v = 4*f + 5*u. Round f to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - m - 7*m)*(-177 + 233 + 7*m - 6*m).\nAnswer: -2*m**2 - 112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 7*d = 60. Suppose 5*g + 5*r - 75 - 100 = 0, 5*g = d*r + 157. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93251.25 years?\nAnswer: 1119015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let i = 32 + -27. Suppose i*j - 27 = -2*t, t - j = -4*j + 13. Calculate the smallest common multiple of t and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - 3*q, -4 - 5 = -2*g + 3*q. Let i = 7 + g. Solve 3*b - o = -i*o, -3*o = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14*(0 - 15\/(-6)). Let p = 30 + k. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1868 (base 11) to base 7\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 5:02 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115562947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {a: 3, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 44 - 60. Suppose 2*z - y = -0*z. Suppose 5*i - 305 = b + 18, 8 = 4*b. What is the highest common divisor of z and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - -20. Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -338 + -383?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3209918430 + -5.927\nAnswer: 3209918424.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2392119 divided by -5\nAnswer: 2392119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, -2*d - 12 = -3*i - 3*d. Solve -3*t - 4 = -2*l, -i*l - 4 = -t + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 86.9?\nAnswer: 7.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f, 5*r - 5*f - 2200 = -300. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10*y**3 - y**2 + y. Let w(h) = -98*h**3 + 818*h**2 - 4*h. Let n(g) = -12*o(g) - 3*w(g). Find the third derivative of n(m) wrt m.\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/((-2)\/10). Let x be 28 - (-4 - 1 - h). Suppose -n + 39 + x = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 3*l + 3*l + (-11 + 2 - 2)*(2*l + 0 + 0).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 400875 divided by -3\nAnswer: -133625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1204 - -1210. Which is the nearest to -1? (a) 3\/4 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 16*d + 7 - 5*d + 2*d. Let f be q(4). Let v = f - 15. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6) - -2*(-130)\/(-120))*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 89 = -5*l - b, 0 = 2*l + 4*b - 74. Suppose 0 = -3*x - 3, -65 - l = -4*v + 4*x. Calculate the greatest common divisor of v and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2157 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32118 and 3.\nAnswer: -96354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*p**2 + 9*p - 50*p**3 + 0*p - p + 212*p**3 - 7*p**2 = 0. Calculate p.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f + 11 - 51 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16*g - 10. Let y be z(9). Let v = -90 + y. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let k(w) = 3*w**2. Let i(u) = -5*u - 6. Let t be i(-3). Calculate t*j(d) + 5*k(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = -0*s + 2*y, -5*s = 4*y - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(20\/(-5))*45\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 2. Find the third derivative of -x*r**5 + 11*r**5 - 14*r**3 + 14*r**3 - 2*r**2 wrt r.\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/9))\/w**(2\/5) assuming w is positive.\nAnswer: w**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-62372)\/(-5))\/((-14)\/420*-6). Suppose 0 = -9*t + r + 136627. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -7*b - 804. Let a = b + -75. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d**5 - d**4 + 19626*d**3 + 8403092*d wrt d?\nAnswer: 480*d**3 - 12*d**2 + 117756*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - 1) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 299 = -5*k, 0*u = 2*u + 4*k - 290. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*a - 8*a = -471, 0 = -5*g + 8*a + 491. Solve 0 = 16*s + 3*s - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283584 is divided by 140652.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3183 - 1081*y**2 - 3183 - 2324*y**2.\nAnswer: -3405*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93.5 - -77. Let o = -16 - m. Let w be (-3)\/(-45)*3*-2. What is the biggest value in w, o, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/2 - 959*t\/2 + 8007 = 0.\nAnswer: 17, 942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**18*x**(1\/6)\/x*x\/((x*x**(-4\/7))\/x))**(44\/3) assuming x is positive.\nAnswer: x**(-29854\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10101001111101010011?\nAnswer: -10101001111101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*l - 30*l = 51*l + 4*l. Factor l + 1\/3*r**5 - 1\/3*r**3 + 4\/3*r**2 + 0*r - 4\/3*r**4.\nAnswer: r**2*(r - 4)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -227, -924, -2083, -3704?\n\"Answer: -231*d**2 - 4*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24459600383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/141 (b) -0.3 (c) -20 (d) -3\/2 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57960 and 720.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1464*t + 2922. Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3, 4\/469, -61, 1, -0.2?\nAnswer: 4\/469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 35*23\/((-1265)\/(-33)) - (29 - 37)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(sqrt(130) - 2*sqrt(130)))\/(-1*sqrt(90)).\nAnswer: -16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 - -133. Let d = v - -531. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + z = 6*z - 1163, r = 5*z + 619. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/39239965 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-66))\/(207\/(-759)))\/((-2)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 = 3. Let a = 7 - 5. Suppose -1 = 3*u - a*u. Sort 5, i, u in descending order.\nAnswer: 5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 11. Calculate k(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.03, 38, -5, -4, 97.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 299\/(-156)*-8*(-39)\/26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 2. Let a(p) = -p - 5. Let z be a(-5). Let w be s(z). Factor -4\/7 - 2\/7*r**w + 6\/7*r.\nAnswer: -2*(r - 2)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -200470\nAnswer: 1\/200470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39325029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.02 + -3.32. Which is the third biggest value? (a) 6 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5418.935l?\nAnswer: 5418935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1854 and 3579662?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1899 and 99?\nAnswer: 20889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164843 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -159.33554012.\nAnswer: -154.33554012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/972 - ((-91)\/(-63) + (-10)\/6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 5*u - 5*u)*(2*u**2 + 3*u**2 - 3*u**2) - 4*u**3 + 6*u**3 - 5*u**3)*(-4*u - 2*u + 3*u).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 - 5*m + 3. Let q be 8 + -1 - (10\/5 + 3). Determine l(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5*161\/(-1610)*(66 - -2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147688 is divided by 2409.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -32 (b) -0.5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 + 221121*o**2 + 56019573*o + 3554170311 = 0.\nAnswer: -73453, -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 7. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382230793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 815447033 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 3*r + 2*r)*(2*r**2 + 4 - 4)*((4 - 4 + 1)*(4 + 1 - 3) + (-3 + 10 + 2)*(0 + 0 + 1)) to the form a*r**3 + f + m*r**2 + j*r and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.026043 - 0.026. Round d to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*k - 5 = 0, 22*j - 26*j = -k - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 16 - 20*q**3 + q**3 - 11*q**3.\nAnswer: -24*q**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0728 - 8.\nAnswer: -7.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*f, 0 = -5*s - 7*f + 8*f + 115. What is the greatest common divisor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.1 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 - 2*j + 2. Let f(k) = k**3 - k + 1. Suppose -5*m - w + 56 = w, -2*w - 16 = -m. Suppose -m*s = -9*s + 3. Give s*a(c) + 2*f(c).\nAnswer: c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from jphjmmhjhpmmjhjjjjpj?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*132\/(-44)*14\/(-119)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 - 2*d**3 - 46 - 23535*d**2 + 23588*d**2.\nAnswer: -2*d**3 + 53*d**2 - 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 6*l**2 + 358*l - 4141. Give v(10).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - ((17 - 5) + 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -34. Suppose -5*s - 3 = -13. Solve -s = -3*g - y*d - 17, g + 4*d = -14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c1a2 (base 16) to base 12.\nAnswer: -130482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from {d: 1, v: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c246 + 0?\nAnswer: -c246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 30 = 5*y - 10, -f = -4*y + 17. Let l(k) = 4*k**2. Let p be l(2). Suppose 0 = -5*d, -5*t + p + 14 = y*d. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(4\/(-7)))\/(5\/(-185)). Let i = t + 275. Solve -i = -4*f + a, 4*f - 12 = -3*a + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 790, -5, 2, -12 in increasing order.\nAnswer: -12, -5, 2, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 12, 46\/5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52335 + 4?\nAnswer: 52343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1950*a**4 - 4*a**3 - 8*a**2 + 956*a. Let n(f) = f**3 + 2*f**2. Let m(s) = -4*n(s) - r(s). Find the second derivative of m(q) wrt q.\nAnswer: -23400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2522*o - 5 - 2009*o + 3396*o + 5 as j*o + d and give j.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 50 = 2*s. Let r = -104113\/354640 - -133\/1040. Let v = r + -1\/62. What is the closest to -2 in s, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuugulppuppplgl. What is prob of picking 1 u and 1 p?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:58 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6660)\/24*(-1280)\/24 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1784 less than -1778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58952827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgddggyggdddgdddyg. What is prob of sequence gggd?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 8*c**2 - 7*c + 13. Suppose -v = 3*v + p - 1, 0 = 5*v - 4*p + 4. Suppose -3*z - f - 30 = v, -z + 2*f - 5 + 2 = 0. Calculate o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2681, 0.3, 0.1, -0.4?\nAnswer: -2681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.041 (b) -1\/8 (c) 2\/7 (d) 3\/29 (e) -0.1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-10))\/1)\/((-27)\/(-45)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 9. Let b be z(-4). Suppose -5 - 17 = -m + 2*s, 3 = b*s. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1849 - -7492. List the prime factors of b.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -28*a**2 + 9*a + 12. Let y be s(-3). Let z = -242 - y. Calculate the remainder when 172 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 2*r**2 + 2*r + 1. Let m be c(-1). Suppose -m*h + 3 = -0. Which is smaller: h or 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 464 = -l - 4*a, 4*a - 250 = 2*l. Let y(q) = q**3 + q**2 - q - 202. Let g be y(0). Let n = l - g. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*r**5 + 11*r**4 - 3*r**3 + 1862*r**2 - 2*r - 1 wrt r?\nAnswer: -6240*r**2 + 264*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.483 and 1.4.\nAnswer: -0.6762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + 160*t**2 - 458 + 232 + 2*t**2.\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + d - 7*d)*(2 - 2 + 2)*((1 - 2 + 0)*(-3 + 2 + 0) + 9 - 7 + 17)*(3 + 0 - 2) to h*d + v and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/4 (c) 0.02 (d) 16 (e) 23\/6 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1907 - 1322. Calculate the highest common divisor of 104 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19499 - 19495. What is the third biggest value in x, 112, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -565*c**3 - c**2 + 2*c + 2. Let b = -11 - -10. Let l be o(b). Let d = l + -311. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/(398\/3 - 3). Are h and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73249 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -176*z + 2. Let x(k) = -5453*k + 63. Calculate 126*h(v) - 4*x(v).\nAnswer: -364*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*v = 4 + 4, -3*v + 34 = 5*c. Solve 5*u + 2*q = -7, 4*u - 3*u + 2*q - c = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/52*(-8)\/(-6). Find the second derivative of 34*w - 63*w + 2*w**t + 33*w wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*c + t, 4*t + 5 = 4*c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -0.2, -35 in decreasing order.\nAnswer: 5, 0.2, -0.2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r. Let y(d) = -4*d. What is 3*c(b) + 2*y(b)?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110898501?\nAnswer: 3, 701, 164363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -36?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*h**2 + 111*h**2 + 40*h**2.\nAnswer: 280*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 - 5*z - 3. Let h be ((-65)\/26)\/((-5)\/8). Let m(p) = 7*p**2 + 6*p + 4. Determine h*n(l) + 3*m(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 15*k - 18. Let y be r(14). Put 4, 3, y in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2422 - -330?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 14*j - 3. Let x be s(7). Let z be (0 + (-4 - x))\/((-3)\/51). Solve -4*p - z = 3*g, 3*p = 2*g - 15 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 12 + 5 + 18*a**2 + 11 + 2*a.\nAnswer: 18*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 1:46 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 857 + 345 = -121 - 245 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 3 = -5*t + 2*i, 1 = t + 5*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*z - 29 = 0, z + 2 = -3*c + 25. What is the remainder when c is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -76*b + 3. Determine w(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*c - 45, 0 = 3*c + 2*c - 3*w - 75. What is the remainder when 202 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 11420556*p**2 - 8151847260636*p + 40758950789780.\nAnswer: -4*(p - 1427567)**2*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 smaller than 15880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -33*m**2. Let y(a) be the first derivative of 2*a**3\/3 + 54. What is s(y(k))?\nAnswer: -132*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9981, -9992, -10003, -10014, -10025, -10036?\nAnswer: -10047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**2 + 12*o**4 - 13*o**2 - 3*o**2 + 2*o**2 wrt o?\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:20 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 14798493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -0.064, -3, -336, -4 in ascending order.\nAnswer: -336, -4, -3, -0.064, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(4*sqrt(96)\/sqrt(12) - sqrt(8)))\/(-2*sqrt(891) - sqrt(33)\/sqrt(3)*5) + 0.\nAnswer: -sqrt(3)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112554 divided by -39?\nAnswer: -2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21507 and -4100.\nAnswer: 88178700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 23*o**2 + 9*o - 9. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.449 - 1356959726.69.\nAnswer: -1356959727.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.8. Let u = -0.2 - c. Is 0 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*m - 224*m - 99232 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:50 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 159.2.\nAnswer: 477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1586109 (base 10) to base 5\nAnswer: 401223414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264196 + 492016. What is t rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -121, 2\/7, -18\/7, -129, 0.03?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -318.77, 9, 4\/5 in decreasing order.\nAnswer: 9, 4\/5, -0.1, -318.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 - -909. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*v - 20 - 1, -2*j = -v - 6. Let u be (4*-5)\/(-2)*2. Calculate the highest common divisor of u and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/24 - 2*g**3\/3 + 7*g**2\/4 - 23*g. Factor i(c).\nAnswer: (c - 7)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 592 = -14*g + 214 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 113*l**6\/120 + l**4\/12 + 7*l**3\/3 - 2*l**2 - 2*l. What is the second derivative of s(b) wrt b?\nAnswer: 678*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 4*s + 1. Let n be z(-3). Let x = 31 + -11. Let p = n - x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634000 rounded to the nearest ten thousand?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 1494*p**2 + 1477*p**2 - 32*p**3 - 2971*p**2 in the form d*p**3 + u*p + c + t*p**2 and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 35.08839 hours?\nAnswer: 126318204000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-7) - ((-1)\/3 - (-5499)\/(-351))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*k**2*p*q**3 + 150300*k**2*p*q**2 - 15*k**2*p - 379948*k**2*q - 3*q wrt q?\nAnswer: 126*k**2*p*q + 300600*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 2*t**2 - 4*t + 1. Let o be c(-3). Solve 0*w + 3*w - 5*q + 15 = 0, -o*w - 9 = -3*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 2*l - 39, 320*l - 330*l = -n - 65 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5620?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, q: 3, r: 2}. Give prob of picking 1 q, 1 t, and 1 r.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 147399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(-r**3 - 3*r**3 - 7*r**3)*(-2*r + 2*r - r**2).\nAnswer: -55*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15982?\nAnswer: 2, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11))**23*((f\/(f\/(f*f**30))*f)\/f)\/(f\/f**(1\/3)))**(-6) assuming f is positive.\nAnswer: f**1336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-3\/13))\/g)**8*((g**(2\/7)*g)\/g)**46 assuming g is positive.\nAnswer: g**(2092\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**4\/24 - 2*n**2. Let q(o) = 3 + 62*o - 1 - 5338*o**2 - 62*o + 5345*o**2. Calculate q(p(g)).\nAnswer: 7*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2115*q**2. Let i(m) = 1132*m**2. Determine i(l(o)).\nAnswer: 5063690700*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3340*(-1 + (-68)\/(-60)). Let v = 446 + n. Put 12, -1\/13, v in decreasing order.\nAnswer: 12, v, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1374807 (base 9) to base 15.\nAnswer: ee941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, 1 in increasing order.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/2, -9, -481, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 431*m**3 + 428*m**2 + 860*m.\nAnswer: m*(m - 430)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let m be d(-1). Let o = m - 1. Sort -4, o, 0.\nAnswer: -4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, -2.\nAnswer: -5, -2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 32. Let q be z(42). Let n be (-156)\/(-15) - (-4)\/(-10). Calculate the highest common divisor of q and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times -3632\nAnswer: 617.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*f**4 - 2 - 205*f**4 - 3*f**3 + 379*f - 387*f in the form w*f**4 + u*f + i*f**3 + q + x*f**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3547*w - 3545*w - 4*q - 62, 2*w + 5*q + 82 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-814)\/(-121) - (20 + (-39 - -26))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -352505948488\/4059 + 86845522. Let p = -6\/451 + b. Let z = 23675\/7 - 3388. What is the common denominator of p and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**1*f)**(-50)*(f**(-1\/3))**(-27\/4))**(1\/16))**49 assuming f is positive.\nAnswer: f**(-9359\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3330*z**2 + 8*z + 8. Let c be l(-1). Round c to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120420?\nAnswer: 2, 5, 7, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.56 and -650.\nAnswer: -650.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -15. Let m be 12*(v + (-115)\/(-39)). Let n = 2\/39 - m. Is n not equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0892079 milligrams?\nAnswer: 0.0000000000892079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238 by -34.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 5*p + 6. Let a be k(4). Suppose 96 = 3*t + t - a*w, -t = -5*w - 24. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-14))\/(4\/6). Let b be ((-3)\/12)\/(15\/(-20)). What is the second smallest value in 0.4, b, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 10, 36, 76, 130, 198, 280?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43936\/2746*10\/(-16)*2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*i**2 + 31*i**2 + 39*i**2 + (i - 2*i + 0*i)*(-13*i - 21*i + 22*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001304 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdv when three letters picked without replacement from {g: 1, d: 2, z: 10, v: 2, t: 1, m: 3}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*p - 150. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40203 divided by -9.\nAnswer: 4467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-40))\/((-2)\/4). What is the closest to 1 in -5, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5989208 less than or equal to -5989210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*z + 3*o - 25, -5*o + 45 = 4*z. Suppose -3 = z*w - 13. Solve 0 = -5*g + 3*i + 40, 3 = -g - w*i - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1694*t**6 - 46*t**2 + 8 wrt t?\nAnswer: -203280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u + 16*u + 5*u + (5*u + 2*u - 3*u)*(-1 + 0 - 1).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a - 12*a)*(2*a - 2*a - 3*a)*(0*a**2 + 2*a**2 + 0*a**2).\nAnswer: 90*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2, 5, 1, 1172 in ascending order.\nAnswer: -5, -2, 0, 1, 5, 1172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/70*((-3)\/(-1))\/(-45)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 320961768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -210778975 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 1466251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -26. Sort k, 0.4, 1 in descending order.\nAnswer: 1, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(4 - 43\/10). Which is the smallest value? (a) -0.2 (b) -1\/15 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 173203*y - 15943140.\nAnswer: (y - 173295)*(y + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 2\/7*w**3 - 84 + 16\/7*w**2 = 0 for w.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 7. Let d = -0.05 + 0.13. Let q = d - 4.08. Sort -1\/10, q, w in increasing order.\nAnswer: q, -1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-14\/9)\/(g\/(g**0*g))**(-7\/5) assuming g is positive.\nAnswer: g**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 116890.037 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 14*v**2 + 14*v - 10. Give a(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/300 - 1331*c**4\/60 + 1771561*c**3\/30 + 4937*c**2. Factor q(o).\nAnswer: (o - 1331)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 11\/6 (c) -1 (d) -0.2 (e) -0.1028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.204 - 0.6. Let n = r + 0.4. Let m = -0.0093 + n. Round m to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, -0.5, -27, -2, -1, -0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -0.69892. What is t rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8910347 or 1?\nAnswer: 3\/8910347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 19. Calculate the smallest common multiple of 10 and z(10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -7. Let g(o) = 5*o + 1. Let f be g(w). Suppose 0 = -2*x + 6. Put x, f, 4 in descending order.\nAnswer: 4, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.13, -93, -32.1, -5\/6, -0.4, 0.08?\nAnswer: -32.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 0*p + 3*p)*(21954*p**2 - 4969*p**2 + 5313*p**2 + 5630*p**2) to h*p + v*p**3 + c*p**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/5 + 2547*p**2\/5 + 720801*p\/5 + 67995561\/5 = 0.\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 2. Let p be 27*(-5)\/(-15)*1. Let v be n(p). What is the greatest common factor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-2))*35\/((-315)\/261)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-36)\/(-6) - -8. Find the first derivative of -759*s + 753*s + 2 - 4*s**q - 182 wrt s.\nAnswer: -8*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12520)\/(-36))\/5 + 8\/18. Suppose -6*l + 11*l = s. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 1. Let a be c(4). Let q be ((-25)\/15)\/((-34925)\/(-3810)). Sort a, q, -0.03, -4\/3.\nAnswer: -4\/3, q, -0.03, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (1 - 2))*-3. Suppose -4*h + 40 = 5*y - s*h, -3*y - 5*h = -32. Let g = 36 - 0. What is the highest common divisor of y and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-406))\/((-7)\/(-14)*-6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5, 3, -6939 in descending order.\nAnswer: 5, 3, -1, -5, -6939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, v: 3, w: 4}. Give prob of picking 1 x and 3 v.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(-1 + -2*sqrt(1584)*-1 + sqrt(1584) + 4 + (sqrt(1584) - (sqrt(1584) - (-1*sqrt(1584) + sqrt(1584))*3))*-1))**2.\nAnswer: 11664*sqrt(11) + 770310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33223011 (base 4) to base 15.\nAnswer: -1404c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -785672, -785705, -785738, -785771?\n\"Answer: -33*o - 785639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + n - 52770 = 0, -q - 2*n + 2429 + 8134 = 0. Calculate the highest common factor of 61 and q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 16 = -7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -379481209 or -379481208?\nAnswer: -379481208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/((-1)\/(-4)). Let o = -1 + w. What is the remainder when 60\/(2 + o\/(-2)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4011 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: Let z = 300 - 64. Let v = 237 - z. Which is greater: v or -8\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059369491?\nAnswer: 3, 686456497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.9 (b) 1\/6 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2126882\/1881 - 65614\/57. Let w = q + 182\/9. Which is the closest to w? (a) 0.2 (b) 0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + 4*i + 2 - 6*i + 4 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9341897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 352?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2 - ((-4)\/(-4) + -4). Suppose -8*s + 20 + c = 0. Let i be 452\/8*-2*21 + s. Round i to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2996 in -3, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -29281107\nAnswer: -58562214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.93 and 7.\nAnswer: -90.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -871 minus -0.3?\nAnswer: -870.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1666 - 1?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003249491 to 6 dps.\nAnswer: -0.003249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Suppose 5*z + 4 = -b - 4, 5*b + 5*z = 0. Factor b*l - 1 + 2 - 6*l**k + 7 + 6*l.\nAnswer: -2*(l - 2)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 743 + -740. Solve u = -7*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -113089*u**2 - 21*u + 20. Let a be r(-9). What is a rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 4*t. Let y be x(-5). Solve -2*u - 2*u = m + 5, -5 = m - y*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/36)\/(((-253510)\/6777)\/101).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 96*w - 4915. Give v(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*z + 171 + 12 = 0, -f = z - 163. Suppose f = -k + 3*k. Suppose -o = -4*o + k. What is the highest common factor of o and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 2595255.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065201 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 2, 5, -0.4, 0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 234734, 938867, 2112414, 3755375, 5867750?\n\"Answer: 234707*s**2 + 12*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4287139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5 and -121\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 10:14 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11783474 is divided by 215.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9*-30)\/(-9*6\/54).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 51*h = -10. Suppose 0 = h*d + 6, -5*r + 3*r = 2*d. Solve -c - 8 = r*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (655\/(-4323))\/(2\/12*1)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 38*y - 37*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsn when three letters picked without replacement from snnsgsfnffsgsss?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let t(f) = 39868*f**2. What is y(t(u))?\nAnswer: 79736*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3212, 1, 126 in decreasing order.\nAnswer: 126, 1, 0.2, -3212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 7}. Give prob of sequence bb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13301032211 + -3?\nAnswer: 13301032202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 17 - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 44 (c) 1\/2 (d) 2\/11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2 and 57\/12020452.\nAnswer: 12020452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16581 is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 26598494539103 and 0.2.\nAnswer: 26598494539103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17213*0.2708.\nAnswer: -4661.2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c - 99*c = 10, k = 4*c - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 434 + 106 = 28*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 33. Suppose -40 = 103*u - 99*u. Let r be y(u). Solve -2*c - r*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7821*z**5 + 91897*z?\nAnswer: -156420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*a = -1, -3*a + 11 + 1 = 0. Let b = 10 + v. Let t be (4\/(-39))\/(2\/b). What is the smallest value in t, 1\/2, 4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 16022 - 1141. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110101011010011 + 110?\nAnswer: -1001110101011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**3 + 4*w**2 + 3*w + 3. Let d(f) be the first derivative of -5*f**4\/4 + f**3 + f**2 + 2*f - 6. Suppose -6 = g + g. Determine g*x(c) + 4*d(c).\nAnswer: -2*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -28) + (2 - (-62 + 79)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10448 - -94010\/9. Calculate the common denominator of -53\/1197 and z.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 2*t = -3*q - 12, -4*t - 6 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycyccyc. What is prob of picking 4 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 54*j + 55*j = 6, -2*j - 92 = -24*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12558272 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45642 - 26?\nAnswer: 45614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let l(q) = -49*q. Let f = 23 - -3. Suppose -8*r + f = 5*r. Let d(a) = -12*a. Let s(j) = r*l(j) - 9*d(j). Determine n(s(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 15*l + 117. Let r be o(6). Let u be 6\/((-234)\/(-24) + r). Calculate the greatest common divisor of 104 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l - 134*l + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121141 - -356216?\nAnswer: 510360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/8)\/((-2555)\/(-8760)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170585 and 11009?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n + 68*n = 7*m - 58, 2*n - 19 = 5*m + 12 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18391600, 18391607, 18391614, 18391621, 18391628, 18391635?\nAnswer: 18391642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -28 - 222*f + 2 - 79*f. Let s be r(-5). Suppose -58*c - s = -61*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 4 in increasing order.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 37 = 33 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41263513\/522 + -79049. Let k = -2\/29 - m. Calculate the common denominator of -57\/22 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 2*c, -5*g - 2*c = c + 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/28*(-70)\/15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = 14. Let m be -3 + 7 + -3 + k. Solve -12 = -m*q, 2*l + 4 - 2 = 4*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -28, -37, -46?\n\"Answer: -9*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 9) to base 5\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 3. Let a(o) = -o**2 - 8*o - 3. Let x be 2\/4 - (-91)\/(-14). Let g be a(x). Solve z*t = -0 + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 944083 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14666 - 14666.0000036229. Round s to 7 dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6867, 6866, 6865, 6864, 6863, 6862?\n\"Answer: -k + 6868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwbbwwwbwwwwwwww. Give prob of picking 2 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 2. What is h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiniiinciiiaancaeiei. What is prob of picking 3 i and 1 a?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2 - 18*j + 55. Let r(k) = k**3 - 17*k**2 + 8. Let l be r(17). What is the hundreds digit of f(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/6 - (3 - 60\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 87\/5 of a hour?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 - 438474*p**2 + 2088447*p wrt p?\nAnswer: 6*p - 876948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*h = -2*m + 15, -2*h = 2*m - 10. Suppose -5*y - 24 = -m*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = -2*a + 75, -3*a - 19 = -2*o. Solve 3*m + o - 5 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3))**2*2 + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84724221 by -7.\nAnswer: -84724221\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23495 by -6.\nAnswer: 23495\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 - 110*y**2 + 59*y**2 to the form q*y + g + i*y**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 418366 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 546. Let w = v - 305.8. Let n = -8 - -14. Put n, w, -0.5 in descending order.\nAnswer: n, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**(2\/3))))\/(a\/(a**(1\/12)\/a))*(a\/(a**(-2\/3)*a))**(-8\/3) assuming a is positive.\nAnswer: a**(-37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*156\/(-260)*(-4)\/((-96)\/2440).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 - -0.16. Is -50 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616 a factor of 50975104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - m + 131, -92 = 4*r - 4*m. Let p be (-2)\/(12\/r) + 5\/10. Suppose n = -4*n. Solve n = -p*o - 5 - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2469936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164648*m**2*r + 516*m**2 - 71*m*r + 161*m + r - 44 wrt m?\nAnswer: 329296*r + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2288, 4643, 7064, 9545, 12080, 14663?\nAnswer: 17288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 1, p: 1, a: 2}. Give prob of picking 1 r and 2 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02642, -5\/24, 2, -4 in ascending order.\nAnswer: -4, -5\/24, 0.02642, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363166 (base 8) to base 11.\nAnswer: -85623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22061460 and 12555?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-2*sqrt(2160) - (sqrt(1500) + 2*sqrt(1500)))\/(-6*sqrt(9)\/sqrt(3)*-1))*-3)**2 + -1.\nAnswer: -162*sqrt(5) + 3653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:49 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - v**3 + 8*v**5 - 7*v**2 + 0 - 7*v**5 + 4.\nAnswer: (v - 1)**2*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, 2, -8872, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 12\/6 - -28*1. Suppose 0 = -c - c - 36. Let z = c + n. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31512 + 243?\nAnswer: 32155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-18)\/(-16))\/(-9))\/1. Let h = 19 + -29. Let t be (4\/h)\/((-2)\/(-10)). What is the second smallest value in r, t, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 3*l**2 + l. What is i(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 8. Let p be n(8). Let a = p - -2. Let r = -106 - -110. Solve 0 = -a*f + r*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8719 is divided by 464?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-15))\/((-1)\/(-5)). Which is the biggest value? (a) w (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - -5. What is l rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 23. Let w(u) = 2*u**2 + 5. What is the remainder when s(-12) is divided by w(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 3.8026.\nAnswer: 15.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232806 - -314288077\/1350. Calculate the common denominator of i and 163\/60.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-21))\/((-16)\/14). Let n = -166.3 - -166. Which is the biggest value? (a) 0.7 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585767591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 2*a + 12, -12*s + 4*a + 26 = -17*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -26*m + 24*m. Let o(b) = m + 9 - 5*b - 25 + 6. Calculate o(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36088033451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810052 is divided by 73638?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 5 = m. Let o = -41\/30 + 3\/2. What is the closest to m in o, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/10))*z*z**(-8)\/z*z)**(1\/32) assuming z is positive.\nAnswer: z**(-73\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227770687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j**2 - 2*j)*(-1 + 2 + 1) + (2*j - 3*j + 4*j)*(-707*j + 998*j - 769*j) to the form b*j**2 + s + o*j and give b.\nAnswer: -1438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -17 - -32 - (-1 - 4) - -73.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - (5 - 4)) + (-406)\/(-29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49)\/35 + (4 - 2). What is the nearest to -2 in -0.5, a, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4*u**2 - 2*k**2*p - 515*k**2*u**3 + 5*k + 20*p*u**3 - 3*p*u**2 wrt k?\nAnswer: 12*k**2*u**2 - 4*p - 1030*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 877836, 1755674, 2633512, 3511350?\nAnswer: 4389188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -14 + 2*q + 0*q**2 - 1\/6*q**3. Let k(u) = 9*u**2 - 5. What is k(o(v))?\nAnswer: 9*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (47 - 31) - (1 - (2 + 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20191309?\nAnswer: 23, 877883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57391 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(-5 - 4 + 0)*(-210*u**2 + 14*u**3 + 210*u**2) to q*u**3 + i + t*u**2 + p*u and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 12. Let q be 4\/c + (-20)\/30. Suppose -4*i - n = -q*n - 55, -i - n + 13 = 0. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 4, k: 3, j: 1, z: 4}. Give prob of sequence zxj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 32. Let w be u(10). Suppose -w*q + 37 = 11. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(2*n**2 + 0*n**2 + 0*n**2) + 172*n - 4*n**2 + 2*n**2 + 119*n.\nAnswer: 2*n**2 + 291*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1027 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = -c + 5*c. What is the common denominator of 28\/(-8)*3315\/(-819) and c\/(-66) + (-2)\/(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 22*p - 29. Let t(g) = -g**3 + 7. Let k be t(0). Let r(x) = -68*x + 87. Let n(d) = k*u(d) + 2*r(d). Is n(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*d + 2*a, -2*d + 7*d = -4*a - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 265, 242, 203, 142?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(2*r**2 + 3*r**3 - 2*r**2) - 9*r**2 + 9*r**2 - 5*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 207a - -355?\nAnswer: 23d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 12*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 1265 + 7420 + 13470 - 3689.\nAnswer: -2*x**3 + 18466","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6677 - 475 = 7*h. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8 and 69\/1370?\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 9*k**2 - 14*k - 24. Let i be c(-13). Suppose -8*s + 4674 = i. Let w = 209 + s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l**4 + 2*l**3 - 13*l**4 + 2*l**2 - 2*l**5 + 4*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9324702 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 596*y + 5 + 1 - 8.\nAnswer: 596*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175 + 175 - 53*j)*(-2 + 0 + 1) - 5*j + 2*j + 2*j + (2*j - 4*j + j)*(-1 + 1 - 2) - 2*j + 0 + 0.\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11 + 5 + 4*c to h + m*c and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g**2 - 3. Let h(n) = 22*n. What is h(a(m))?\nAnswer: -220*m**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12 + 9 - q - 21. Suppose 0*g = -2*w + 2*g + 8, 2*g - 4 = -w. Suppose -w = l + 1, 5*l = n - 27. What is r(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 9366*m**2 + 65636*m - 112560.\nAnswer: -2*(m - 4)*(m - 3)*(m + 4690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*q - 3*q + 76, -q - h = -70. List the prime factors of ((-21)\/(-14))\/(2\/q).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8240746 is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4832.587 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70462897.3519 + -70465898. Let t = 2968.6480947 + l. Let q = 32 + t. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Calculate the remainder when b\/(-3*1\/(-24)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6) - (-3 + (-18)\/(-4) + -2). Let j(t) = -t**2 + t - 1. Let a(y) = y**2 - 1. Calculate b*a(f) + 3*j(f).\nAnswer: -4*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - l**2 - l**3)*(l + 0 + 0) + (-3 + 3 - 1)*(-14*l**3 - 17*l**4 + 14*l**3) to the form z*l**4 + p*l**2 + n + y*l**3 + f*l and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((189\/35)\/9)\/(9\/1)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196 - 193. Suppose -5*g = 2*b - 266, 3*b - 102 = -2*g - 0*g. Solve -g + 54 + 4*v**2 - k*v - 5*v**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u**2. Let o(r) = -867091*r**2. What is l(o(t))?\nAnswer: 8270314825091*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 11) in base 4?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 113, 432, 1057, 2090?\nAnswer: 3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((39\/(-6))\/(-1))\/((-30)\/12).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - k - 1 + 0.\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -18*a + 17*a. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71274 is divided by 1394.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112 (base 3) in base 15?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = t - 1 + 11, -2*t + 8 = -2*o. Let l = 5\/3 - 25\/6. Is t at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-2) + (-2818)\/30. Let z = r - -1041\/10. What is the common denominator of 5*(-2 - -4)\/12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37514477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 + 2*p + 1. Let v be g(4). Let b(h) = 2*h - 2. Let f(o) = -3*o + 2. Let s(i) = -4*b(i) - 3*f(i). Determine s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 15878, -1, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 14*j**2 + 12*j + 28. Let d(g) = 12*g**2 - 2*g + 1. Let p be d(1). What is the units digit of c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = -2*j + 190 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*u + 29 + 27. Solve 5*d + u*g - 16 + 15 = 0, 0 = 2*d + 2*g - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6 = -7*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7432404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -7*x**3\/3 - 3*x**2 - 9. What is the second derivative of b(f) wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 5199606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9428.2 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155579\/265 + 1405\/53. Let q = 159661\/260 - l. Calculate the common denominator of q and -29\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 + 172*r**4 + 1500*r**3 - 9340*r**2 - 36064*r - 25392 = 0. Calculate r.\nAnswer: -23, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 6*w - 15*w. What is the common denominator of 1\/18 and (6\/(-9))\/(w\/1116)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 269*i + 93. Let y be n(-135). Solve -49*x - 66 = y for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6418624 litres?\nAnswer: 641.8624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k - 3*m + 13, -2*k = 3*m - 7. Let j(a) = 2*a + 6 - 3 - 5*a + 2*a**2. Calculate j(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.2. Let y(a) = -3*a**2 - 4*a - 3. Let j be y(-2). Let w = j + 10. What is the nearest to 2 in b, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39459 (base 10) to base 5\nAnswer: 2230314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10852, 36, 0 in decreasing order.\nAnswer: 36, 3, 0, -10852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -230, -4, -10 in decreasing order.\nAnswer: -4, -10, -11, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -15. Let m be (c\/(-42))\/(3\/(-12)). What is the third biggest value in -4, 3, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2415441 - -52?\nAnswer: -2415345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -308, -1295, -3270, -6563, -11504, -18423?\nAnswer: -27650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 14)*30\/(-9). Let i = q - -6. Let r = i + -34. Solve -r = -5*z + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 2*w**2 - 5. Let c be s(3). Suppose 3*n - 21 = -a, n - c = -0*a - 4*a. Suppose -f - 4 = -a. Solve -3*j - 3*g = -3, -f*j + 9 = -g + 4*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i**2 - i + 1. Let o(r) = 1 + 7 + 7*r**3 - 7 + 0*r - r. Let u(w) = 2*b(w) - 2*o(w). What is the third derivative of u(n) wrt n?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -781 + 787. Let l = 58 + -32. Let n = l - 10. What is the lowest common multiple of p and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - b - 52. Calculate the lowest common multiple of 1 and p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(392) + (sqrt(392) - sqrt(392)*-3))\/sqrt(7))\/((sqrt(18) + sqrt(162)\/(sqrt(9) + sqrt(9)*1))\/(sqrt(99)\/sqrt(176) - sqrt(9)))*-2.\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/36 and -109\/2766.\nAnswer: 16596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131, 244, 359, 476, 595, 716, 839?\n\"Answer: x**2 + 110*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4320 divided by -3.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 41 = -7*v. Solve w - v = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130312311221 (base 4) to base 2.\nAnswer: -11100110110110101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/214340 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5699 is divided by 5653?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 5 - 12 - 3*u + 14. Let q be h(1). Suppose -7*y + 308 = -q*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*5.499719.\nAnswer: -197.989884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z + 8. Let v = -12 - -19. What is o(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 1370*m - 93845.\nAnswer: -5*(m + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1643*i**2 + 1 + 1738*i**2 - 1.\nAnswer: 95*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/(-84))\/4)\/((-2)\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1049232*d**5 + d + 1634 wrt d?\nAnswer: -20984640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 34 (b) -2134 (c) 0.5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 14 = -l, -2*l = -m - 59 + 13. What are the prime factors of 2691\/6 - 1 - l\/(-16)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Suppose -r = -i, 12 = 5*r + 2*i - 9. Suppose 3*y - x*s - 2 - 23 = 0, 0 = r*y - 2*s - 19. Solve -3*o + 0*u - 11 = u, 21 = -4*o + y*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2152 * -4.\nAnswer: 8608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -146 + (0 + 3 - -234)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2 - v + 3. Let g(k) = -k**3 - 36*k**2 - 125*k. What is g(x) - 4*z(x)?\nAnswer: -x**3 - 121*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 69. Suppose -f + j*y = 1 - 33, -y = f - 12. Suppose 0 = -i + 23 - f. Solve 3*b - 3*c - c = -5, -2*b = 2*c - i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 4, -2, -5 in decreasing order.\nAnswer: 4, 2, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-5\/6)*i**17*(i\/(i\/i**9))\/i**10 assuming i is positive.\nAnswer: i**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 149980.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869484 is divided by 4505?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -0.018411.\nAnswer: 0.36822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 14 + 13 + 2573*k**3 + 15 - 2424*k**3.\nAnswer: 149*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p - 3*q - 58, -2*q - 27 = -p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -41669828?\nAnswer: 333358624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-42)*(-5)\/((-30)\/(-18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8279 - 7887. Calculate the remainder when k is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 4:24 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 4) + (-12 - 0 - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 10:57 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -162? (a) 5 (b) -0.4 (c) -1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - 1) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and (301\/(-28) + (-1)\/(-4))*(-420)\/245?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2\/2 + 1. Suppose -2*g - 4 = -4*g. Let z(f) = g*f**2 - 2*f**2 - 4*f**2. What is t(z(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582831 to the power of 1\/2, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652382943 minus 37.1?\nAnswer: 1652382905.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 523500 to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 82*s - 253680 = -65*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10062, -15150, -20234, -25314, -30390, -35462?\n\"Answer: 2*i**2 - 5094*i - 4970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:54 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7526.6 + 261550.769.\nAnswer: 254024.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -52. Which is the nearest to 0.3? (a) 0.4 (b) v (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 24230356?\nAnswer: 24230351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 244562922?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Suppose -5*o + 4*y = -9, -2*o + 4*y + 0 = -6. Is o less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 2. Let o be x(3). Let t be (-6 - -3)\/6 - 621\/(-2). Suppose o*h - 435 = h - l, 3*h + 4*l = t. List the prime factors of h.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175061 - -1148477.878\nAnswer: 973416.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*o**3 - 26*d**2*o*x**2 - 5*d**2*o + 4*d**2 - 58*d*o**3*x**2 - 2*o*x wrt x?\nAnswer: -52*d**2*o - 116*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96, 108, 120, 132?\n\"Answer: 12*x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 10. Let i be a(-5). Let c = 2 - 6. Let p(y) = y**2 + 4*y - 2. Let g be p(c). Put g, i, -3 in ascending order.\nAnswer: -3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*w**3 - 66*a**3*w**2 + 41*a**2*w**2 + 2*w**3 wrt a.\nAnswer: -12*w**3 - 396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 32. Let j = -584 + 596. Let b be 4*j\/(-16) - -3. Solve 3*g + 4*c + a = 2*c, 3*c = b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.05, -755, -73\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256.1991135 + 256.2. What is w rounded to 5 decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1602*k - 1. Let d(g) = g. Let h(o) = 4*d(o) + f(o). Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y + 1. Let p(h) = h**2 + 2*h + 7. Let j(l) = l**2 + 2*l + 8. Let x(q) = 5*j(q) - 6*p(q). Let r(w) = -w**2 + 1. Determine y*r(d) + x(d).\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = q - 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 606 and 46556.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103324113 - 0?\nAnswer: 103324113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhkhnhhhthkthhkthh. Give prob of picking 2 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ff (base 16) to base 4.\nAnswer: 13333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7662384061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 153336215 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*j - 18*j + 36. Let x be 4\/6 - 20\/(-6). Suppose 0 = k - x*m - 3, -4*m = 3*k + m - 60. What is the greatest common factor of k and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*435.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0) + -1 + 3. Suppose -4*m = -2*m + y, 2*m - 22 = -3*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 63*r - 76. What is y(7)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 0, 20, -3511 in descending order.\nAnswer: 20, 7, 0, -5, -3511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/15 - 81368*m\/15 + 3013354\/15.\nAnswer: -2*(m - 37)*(m + 40721)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65967211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 102 + r**3 - 40 - 10*r**2 - 35 - 35 + r. What is i(9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.09 (c) -3 (d) 1\/2 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-15)\/3*1. Let z = 7 + v. Let a = 1 + z. Solve 3*h + h + a = -3*q, -5*h = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4710 + 4797. Solve 851*d = 880*d + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 - 1 + 1 + 3 - 2*m**2 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997906049.\nAnswer: 131, 22884779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/8 - 5*u**3\/6 + u**2\/4 + 5*u\/2 - 702. Suppose q(y) = 0. What is y?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.926242315 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6934520547 to the nearest integer?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmv when three letters picked without replacement from {n: 1, b: 1, v: 1, y: 1, p: 2, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(539) + 0 + sqrt(539) + -1 + 0 + -6*((2 + 1 + sqrt(539) - sqrt(539)) + (sqrt(539) - (sqrt(539) + sqrt(539) + 1)) + 2))*3*-5)**2.\nAnswer: -655200*sqrt(11) + 7913700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -51, -106, -193, -318, -487, -706, -981?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0 + 2 - 3 - 27*l**2 + 26*l**2. Let o(j) = -5*j**2. What is o(q(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 77*h**3\/6 - 19*h**2 + 31*h. List the prime factors of o(7).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*d - 124, 0 = -70581*n + 70584*n - d - 97 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = -21. Let q be 6\/(s\/(28\/6)). Suppose x + 3*g - 50 = 0, -x + q*g - g + 38 = 0. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 d, and 1 s when four letters picked without replacement from {g: 2, b: 4, a: 2, s: 5, d: 1}.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12322003330 + 11?\nAnswer: 12322010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 24 = 26*d. Put 1\/3, -1.5, d in decreasing order.\nAnswer: 1\/3, d, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6 + 2. Suppose 2*k - u*p + 7 = 3*k, 0 = k + 5*p - 10. Is 2 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 8. Let r be g(6). Suppose -3*v = r*v + 15. Is (-5 - -8)*(-37)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1276056.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m - 62. Let r be t(-15). Let a = r + -31. What is the remainder when 47 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98)\/sqrt(2) - (sqrt(245) + 3*sqrt(245) + sqrt(245) - sqrt(245))\/sqrt(5))\/(((sqrt(84) + -1*sqrt(84) + sqrt(84))*-6)\/(sqrt(12)*2*4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2274 - -3333. Does 62 divide r + (-45)\/((-72)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b*b)**(-16)*(b**(-13))**(-46) assuming b is positive.\nAnswer: b**694","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -0.1, -870, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -1\/4*n**2 + 71\/4*n + 0 = 0.\nAnswer: 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 46. Let k be (r\/(-9))\/((-1)\/(-3)). Let x = k - -13. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203564453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 9. Let o be h(9). Let s = o - 0. Suppose -3*u = -s*u. Solve r = -u*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2340, -3790, -5198, -6564?\nAnswer: -7888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**(-32)\/(q**(2\/3)\/(q\/q**(-5\/4))))\/((q**(-1)*q)**16*q**3*((q\/q**(-3\/4))\/q)\/q*q) assuming q is positive.\nAnswer: q**(-205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1253, -1254, -1255?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -222320?\nAnswer: -222322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.23, -47, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ppapqppeppapqaa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kazrnak. What is prob of picking 2 k, 1 n, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 8*o**2 - 7*o - 4. Let m be n(6). Let k = 777 - 412. Let l = -235 + k. What is the greatest common divisor of m and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 + 3*b - 1. Let f(d) = -d**3 - 6*d**2 + 2*d + 9. Let r be f(-6). Let x(g) = g**3 - g. Let q(n) = r*x(n) - t(n). Differentiate q(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(1584) - -1*sqrt(1584)) + sqrt(1584) + 3))**2 - (3*(4 + sqrt(1584)*-2 - sqrt(1584)))**2)*-1 + -1.\nAnswer: -4536*sqrt(11) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79170 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-2*w + 2 - 2)*(28 - 21*w + 16 - 30).\nAnswer: -84*w**2 + 56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*y - 1)*(3*y + 0*y + 0*y) - 25 + 25 + 20*y**2 in the form p*y**2 + o*y + j and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -244. Let o = n - 189. Let k(c) = -4*c**2 + 83*c - o*c - 6 + 5*c**2. Give k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcz when three letters picked without replacement from zcppz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4815260 and 963052?\nAnswer: 4815260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - -141.56. Let o = 142 - g. Which is the nearest to -1\/10? (a) -0.4 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 127*o - 7. Let j(r) = 126*r - 8. Calculate -5*j(g) + 6*k(g).\nAnswer: 132*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 + 5*l**2 + 6*l + 2. Let p(r) = 6*r**3 - 5*r**2 - 6*r - 1. Let f(v) = 5*d(v) + 6*p(v). Let x be f(6). Solve -x*w = 5 + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 o when four letters picked without replacement from ssouoxootuxutuxs?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -21)\/((-2)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/75)\/c*c**(-4\/9)*c assuming c is positive.\nAnswer: c**(-94\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32153235 + 10?\nAnswer: -32153225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:33 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l - 1170 = 326*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135056647 rounded to the nearest one million?\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 54. Solve -2*s + 4*s - 4 = -k, s + x*k = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7549550 and 0.4.\nAnswer: -7549549.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/33))**(-2\/5)\/(s**11\/((s\/s**(-10))\/s)) assuming s is positive.\nAnswer: s**(-163\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 88 = -6*k, 0 = -25*s + 27*s + 39*k - 43*k - 62 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43756, -4, -3, -211 in increasing order.\nAnswer: -43756, -211, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2 + 2\/(-2)). Let m = f + -23. Let i = m + 53. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -460*j + 13566*j**2 - 496*j - 5102*j**2 + 4887*j**3 + 956*j wrt j?\nAnswer: 29322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p + 5*s + 7, s = 3*p - 11. Suppose -p*f + 0*f = 0. Let j(n) = -n**2 - n + 5. Let w be j(f). Solve -2*t - 20 = 4*i, -i - 2*i - 15 = w*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.605 + -1.078. Round o to 2 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*895\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 + 656*j**2 - 26896*j = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -111001000?\nAnswer: -111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -499?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/4255 - -437113\/306360. What is the common denominator of r and -41\/2430?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (0 + 0 - 0). Suppose 0 = -0*v + 4*v + c*y + 12, 3*v - 3*y - 9 = 0. Let o be v + -1 - 5\/(-1). Solve -m = 3*m + o*s - 8, 5*s + 14 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144500 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:08 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1197 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272.63064 + 273.4. Let r = -1705.23 - -1706. Let j = y - r. What is j rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*f = -30, -5*l - 5*f - 36 - 9 = 0. Sort l, -6, 134 in descending order.\nAnswer: 134, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -3) + 10 + -1. Suppose 27 = 4*j - l. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v - 3. Let p(s) be the first derivative of -s**2\/2 - 4*s - 8. Let i be p(-6). Let b be q(i). What is b rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -0*s + 9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/4 + 4*s**3\/3 - s**2 - 2*s - 3. Let v be p(-4). Find the common denominator of 93\/14 and v\/15 + 1238\/180.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 1303?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 + -245. What is the third derivative of t*y - 4*y**3 - 69*y**2 + 18*y**4 + 10*y**3 + 40*y**2 - 21*y**4 wrt y?\nAnswer: -72*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2 - 368\/160).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-36)*12\/64)\/(1\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 108.6977 + 0.4023. What is t rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230085991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4539808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 2. Let r(u) = u**2 - u + 2. Let q be r(0). Calculate the remainder when 11 is divided by a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1128915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1955 - -3909\/2. What is the nearest to 1 in -3\/5, -8, -0.01, u?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9884842.01 minus 17818?\nAnswer: -9902660.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:29 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11193*g**2 + 7152*g**2 + 5361*g**2 as h + o*g + r*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m*m*m*m**0*m))*m)**(-2\/73))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-156) + 124\/(-364)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34*(2*(-1)\/2 + 2). What is the greatest common factor of 357 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11071102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(-10)*(532\/(-77) + 8). Let c(y) = 10*y + 5. Let b(n) = -9*n - 4. Calculate g*b(u) + 5*c(u).\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:33 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o = 1980. Does 66 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -687*o**2 + 97?\nAnswer: -1374*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 29*g - 83. Let q be m(26). Is ((-1795)\/(-2))\/(6\/((-60)\/q)) a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (0 - 7) + 32 - 4 - 5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, h: 2}. What is prob of picking 3 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szsmoozmmfzfo. Give prob of picking 1 f, 1 z, and 1 m.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 545542.\nAnswer: 78558048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 136 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**3 - 19*r**2 - 3*r - 1. Let g(i) = 5*i**3 + 9*i**2 + 2*i + 1. Let h(q) = -9*g(q) - 4*v(q). Determine h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47172 or -47217?\nAnswer: -47172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - ((31 - 36 - -30) + -125 - 4).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10803 by -277.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -546.82 - -546.8199872622. Round s to seven dps.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -165 (b) -2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.075010723*0.3\nAnswer: 0.0225032169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/8 (c) 3\/2 (d) -0.44 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765555462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/10)\/((-10)\/25). Let m be 1*(-3)\/n*-3. Let u be -2*(-1 + -1 + m). Solve 5*i + 3*x + 2*x - 35 = 0, -u*x - 14 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 5372951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2973183 and 5595.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 20.\nAnswer: -19\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07673152123 to three decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24432 and 67188?\nAnswer: 268752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1904*x - 322. Let h(g) = -71*g + 12. Let w(r) = -161*h(r) - 6*i(r). Let b(n) = -532*n. Give b(w(u)).\nAnswer: -3724*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34010 bigger than 34011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*b**4 - 72\/5*b - 102\/5*b**2 - 33\/5*b**3 + 0.\nAnswer: -3*b*(b + 1)*(b + 4)*(b + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -16*y - 0*y + 38250. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -55, 4, 118 in increasing order.\nAnswer: -55, 4, 32, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from ttljldcqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (128\/(-10))\/((-396)\/(-40) + -10). Suppose -2*x + 4*f + 550 = 0, -x - 2*f = -395 + a. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/25, 0, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4097 * 4911.\nAnswer: -20120367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 3*r**3 + 4709 + 4696 + 0*r - r**3 - 9405.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 539645338 divided by -2\nAnswer: -269822669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3210, -0.22, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-1)\/(-4)*(-2)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -35054032 + 35054032 - 36908*y as v + w*y and give w.\nAnswer: -36908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7, v: 2, m: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.372744513+0.4\nAnswer: -3.972744513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 210158 = 210156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 7*t**2 + 9*t - 3. Calculate b(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840086420 to the nearest integer?\nAnswer: 28984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -35, -59, -83?\n\"Answer: -24*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.71497mg to grams.\nAnswer: 0.09771497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 10. Let w(k) = -k - 11. Let g(u) = -6*c(u) - 5*w(u). Let t be g(-9). Solve 0 = -0*b - 4*b + t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -231, -3, -2, 6, 14.\nAnswer: -231, -18, -3, -2, 0, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.04 (b) 4 (c) -0.4 (d) -490\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 56*i + 6087018 = 257*i. What are the prime factors of i?\nAnswer: 2, 3, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 4603 = 4523. Let m(x) be the third derivative of 1\/24*x**4 + 0 + 0*x - 1\/3*x**3 + 1\/60*x**f + 22*x**2. Suppose m(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - h + 132 = 3*h, -i + 3*h - 23 = 0. Calculate the remainder when 3*3\/(-9)*i is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Let h(s) = 3*s**2 + 5*s + 5. Let o(d) = d**2 + 2*d + 2. Let r(n) = x*o(n) - 2*h(n). Let p(t) = 687 - t - 687. Give p(r(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.8. Let v = 0.3 - g. Which is the smallest value? (a) -1\/5 (b) 8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1.23. Let f = -2428\/3 + 802. Let q = -104\/15 - f. Which is the closest to 0.1? (a) 2 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -7. List the prime factors of j*2\/(-9)*15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/5 - 9*s**2\/5 - 6*s\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9331.25319s to weeks.\nAnswer: 0.015428659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 + 3 + 14*u**2 - 3. Let c(q) = q. Determine n(c(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14846 less than 1369?\nAnswer: -13477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -16, -4*d + 9*a = 5*a - 4508. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = q - 4*b, 0 = -5*q + 3*b + 80 + 69. Is -1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -329*k**2 + 8*k - 400. Let m(q) = -6251*q**2 + 154*q - 7602. Let o(f) = 77*b(f) - 4*m(f). What is the derivative of o(n) wrt n?\nAnswer: -658*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 23*l**3 - 5*l**2 - 3*l + 8. Does 23 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212891573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*m + 80*m + 42*m - 24*m + 5*m)*(-48*m + 26*m - 18*m).\nAnswer: -5560*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s - s + 15*s)*(2*s + 4*s - 2*s) + 55*s**2 + 47*s**2 - 13*s**2 + 0*s**2 to z + u*s + y*s**2 and give y.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1024 + -544. Suppose -43*u = -39*u - m. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -127*k**7\/35 + 65*k**3\/2 + 1311*k**2. What is the first derivative of s(d) wrt d?\nAnswer: -3048*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = u + 9, 4*q + 2*u - 7*u - 24 = 0. Suppose -2 = -v + q. List the prime factors of 1\/v*1*12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -674, -1026, -1380, -1736, -2094?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*m + 2*d + 24 = 0, 5*d = m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = -2*x. Suppose -x*p + 3*p = -2*d, -1 = d - p. Let m be 1\/((-7)\/(-2) + -3). Is m at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u. Let p(w) = 7*w. Determine q(p(d)).\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(538\/6 + 1 + -4).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybyb when four letters picked without replacement from {x: 10, b: 2, y: 3, z: 5}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/(-1380))\/((-4)\/(-90))*2\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/(-16)*271\/143630.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/21, -4, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -17*h + 22*h. Let l(i) = -1. Let w(g) = -1 + 1 + 4. Let q(y) = h*w(y) + 5*l(y). Let v(d) = d + 5. What is 6*q(f) + v(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 722\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -8*u + 10*u + 12, 0 = -2*k - 3*u + 2. Solve 2*c + 13*r = 17*r + 4, 4*c + k*r + 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, 0, -0.34, -2\/3?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 59. Put -3, m, 0, -5 in decreasing order.\nAnswer: m, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 24343*f**3 - 12*f**2 - 8*f**2.\nAnswer: 24343*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*d + 157, -d + 112 - 15 = 3*v. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 28. Let s = -0.7 + 1. Put 0, s, c in descending order.\nAnswer: s, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22220 (base 6) to base 12\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaazvvv. What is prob of sequence avz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89\/243 in -3\/5, 1\/5, -5, 0.05?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*m - 10, 5*v - m - 10 + 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -320.08 rounded to zero dps?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + t + 3. Let l be i(-5). Let z = -18 + 117. What is the third derivative of -z*m**2 + 43*m**2 - 16*m**4 + 28*m**2 + l*m**2 wrt m?\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 4*i**3 - 23*i**3 + 7*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + -28 + 34 + (-3 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625604 is divided by 489.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 77. Calculate q(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82295394 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 6*a**2 - 3*a - 3. Let m(i) = i + 5. Let g be m(0). Give n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*k - 12 = -6*k, -5*k + 6 = 2*d. Factor -12*t**4 - 21*t**3 + d*t - 3*t**2 + t**2 - 4*t**2.\nAnswer: -3*t*(t + 1)**2*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461603672?\nAnswer: 2, 11, 17, 19, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.77 + 0.23. Let j = -8 + n. What is the fourth smallest value in 2\/9, j, -3, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 6*v - 5. Suppose c = -2*y + 6, 3 = 4*y + c - 7. Let r be 2*(-1)\/(-2)*4. Suppose r*l = y*l - 10. Determine k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 - 33*h - 6. What is the remainder when z(-3) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*(-33)\/9174*86\/129\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2860)\/(-728) + (-1)\/(3*24\/(-36)).\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssvqq. What is prob of sequence sq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11469 - 2*s - 6788 - 4681.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {u: 1, r: 2, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*p + 319, 249 + 149 = 5*j - 3*p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4369 is divided by 896.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, -3, -161, -1, -12 in increasing order.\nAnswer: -161, -12, -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -16*n**2 - 719*n - 110 + 1291*n - 644*n. Let u(f) = -f**3 + f**2 + 2. Let y(m) = u(m) + z(m). Factor y(l).\nAnswer: -(l + 3)*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-162)*15\/30*3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from vnsjsnsjjumnjs?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2\/(-4)*-9. Let s = j - -12. Suppose w + 108*w**2 + s*w + 6 - 35*w - 20*w = 0. Calculate w.\nAnswer: 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20427488873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28998 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -7)*(10 + 860\/30). Solve t = 25*v + 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 99883?\nAnswer: 799064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6820418.\nAnswer: 2, 11, 310019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 30924 + 26944. Let t = -13919 + q. Suppose 3*f = -5*o - t, 2*o + 7 = 1. What is f rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w + 42 = 0. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Let p be h(-8). Suppose -3*a = -a - 5*l + 12, 3*l - p = -3*a. Solve 3*u + 7 = 2*z, 0 = -4*z - z + a*u + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*h = -4*w + 26, w = 6*h - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 72*w - 607. Calculate t(-81).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 44. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**2*n**3 + 22*c**2*n**2 - 76113*c*n**3 - 7*n**4 + 16896*n**2 wrt n.\nAnswer: -24*c**2 - 456678*c - 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280521401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u**2 + 2*u + 7. Let z = 126 - 54. Let b = -154 + z. Let g = -87 - b. Determine q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -4*j. Let s = -5 - -41. Let o = s - 53. Sort -4, -5, o, j.\nAnswer: o, -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/15944 and 55\/6.\nAnswer: 47832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140085240.\nAnswer: 2, 3, 5, 137, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaao. Give prob of sequence oa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**2 - 9*z - 9. Let p(x) = 3*x**2 - 2*x - 2. What is -6*c(v) + 26*p(v)?\nAnswer: 6*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 4*c - 4. Let f = -18 + 20. Let s be u(f). Solve -s*a = -12 + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-8)\/(-42))\/(18\/(-21))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67659401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**2 - 1\/4*t**4 - 6*t + 5\/3*t**3 + 53. What is k(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1300 and 59\/14426.\nAnswer: 9376900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48550611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55627000 = -299*k + 312*k. What is k rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 3, 1665, -31 in descending order.\nAnswer: 1665, 3, -1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1543173 and 8\/514391.\nAnswer: 1543173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84293 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 19. Determine p(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*o**2 - 367472*o + 115816769.\nAnswer: 120*o - 367472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzrrzzrzzr. Give prob of sequence rrzz.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(29\/4)*w*(w\/(((w*w**(-6))\/w)\/w*w))\/w*w*w*w**(-1\/11)*w**(-26) assuming w is positive.\nAnswer: w**(-1027\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377843992?\nAnswer: 2, 47230499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - a + 46 = 0, -a = -4*p - 68 - 20. Let c = p - -43. Suppose -10*b + 14*b = 32. Calculate the least common multiple of b and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(72)\/sqrt(6) + sqrt(12) + sqrt(3)) - sqrt(132)\/(sqrt(12) - ((sqrt(1452) - (sqrt(1452) + sqrt(1452) + 1*sqrt(1452))) + sqrt(1452))).\nAnswer: 7*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m + 1. Let o be b(-2). Suppose 15 = 3*n - o. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25\/96 - 643\/32. Which is smaller: -19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32919524, 32919478, 32919392, 32919260, 32919076, 32918834?\nAnswer: 32918528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -973 - -41843\/43. Let g = -14 + 16. Suppose -6*l - 3*v - 15 = -2*l, -g*v - 10 = l. Is r equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*m + 8, 0 = -f - 5*m + 1 + 23. What is the units digit of (-180)\/(-8) - (f - (-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3152549, 6305095, 9457641, 12610187, 15762733?\n\"Answer: 3152546*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + k + k)*(-8 + 0 + 10 - 2*k**2 + (0 + 2 - 3)*(k**2 - 3*k**2 + k**2)).\nAnswer: -9*k**3 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 219333600 rounded to the nearest 1000000?\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (5\/20)\/(11\/44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k + 5*k + 17*k + 110 - 15 - 44*k in the form b*k + r and give r.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2324\/29050)\/(0 - 1\/10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 515 and 62315.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/285 + -6 + 1390\/152?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165564591 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/40 + 634*o**5\/15 + 592*o**4\/3 - 20*o**2 + 6*o - 4. What is the second derivative of s(k) wrt k?\nAnswer: -18*k + 5072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 + 195. Let g be p(0). Let f = 720 - g. Suppose -18*k - f = -23*k. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:43 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 9:19 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9722?\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-4)*(5*5\/875)\/(-1)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.043181l?\nAnswer: 4043.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-325))\/((-2)\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 472*k**2*w + 1518*k**2 + k*w**2 with respect to w.\nAnswer: 472*k**2 + 2*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402188279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2003 by -3.\nAnswer: 2003\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*a - 22, 7*a + 16 = 9*a + 2*g. Sort a, -3, 5 in descending order.\nAnswer: a, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + (2 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-56) + (-15093)\/104. Which is the closest to 1? (a) 2 (b) l (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999642 is divided by 356.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0 + 1\/240*n**5 + 0*n + 0*n**3 + 14*n**2 + 1\/96*n**4. Determine w, given that x(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence godo when four letters picked without replacement from dggooe?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/720 - 17*w**5\/180 - 31*w**4\/36 - 10*w**3\/3 - w**2 + 379*w. Factor a(n).\nAnswer: -(n + 2)**2*(n + 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/(1\/15*-6). Is 9 a factor of 9\/(f\/1) + -4 + 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -120 (b) 1\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168882109?\nAnswer: 11, 29, 529411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + s - 16, -7*x = -2*x + 5*s. Find the second derivative of -110*n**x + 85*n**4 + 15*n + 61*n**4 wrt n.\nAnswer: 432*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23577 is divided by 10455.\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/9)*p*p*p*p*p\/((p*p**(-8\/9)*p*p)\/p) assuming p is positive.\nAnswer: p**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * 1964385\nAnswer: 333945.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -6 + (-5928)\/(-8). Suppose 733*i - 6727000 = c*i. Round i to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18538757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-38 + 3 + 17)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*i**3*o**2 - 765*i**2*o**2 + i*o**2 wrt i.\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -411 and 4.\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -394, 4, 1\/3, -5 in increasing order.\nAnswer: -394, -5, -3, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2538 (b) 12 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:21 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -22406, -21 in increasing order.\nAnswer: -22406, -21, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-26))\/(((1680\/(-45))\/(-28))\/((-22)\/(-3)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17369034 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {m: 4, l: 2, h: 5, u: 1, k: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 397 and 0.03.\nAnswer: 11.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 33. Is 20 a factor of (68 - 4) + -2 + t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0073961048 to 4 decimal places.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2471? (a) -8 (b) -0.2 (c) 1 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 2, -2 in decreasing order.\nAnswer: 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10425 and 50?\nAnswer: 20850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 54 = 0. Does 18 divide t\/4*16\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*r**6 - 8*r**5 - 4*r**3 + 1060*r**2 + 3*r - 2 wrt r?\nAnswer: -3360*r**3 - 480*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 357265 + 3*i**2 - 218859 + 0*i**2 + 701117 + 3174*i = 0. Calculate i.\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11*s = -13*s - 44891, -s = w - 14967. Let y = -4988 + w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -35. Let r(f) = f - 7. Let t(w) = -6*w + 35. Let z(j) = 11*r(j) + 2*t(j). What is the least common multiple of z(-9) and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m - 26*m - 16 - 163*m**2 + 16 in the form b*m**2 + u*m + j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**3 - 4*p + 6. Let n(o) = 27*o**3 - 5*o + 13. Determine -13*g(k) + 6*n(k).\nAnswer: -7*k**3 + 22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*d**3 - 685*b**3 + 3*b**2*d**3 + 139*d**3 wrt b.\nAnswer: -12*d**3 - 4110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**2 + 23*u + 73. Calculate n(-3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n + 8. Let s = 1 + n. Let b(y) = -y**3 - 6*y**2 - 5*y + 4. Let d be b(-5). Sort s, d, 5 in increasing order.\nAnswer: s, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/123 - 44\/369. What is the second smallest value in -0.07, p, -2\/11, -3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -7*o + 3. Suppose -u - 2*n = o*u - 94, -5*n = 5. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 38*l**2 - 11*l + 19*l - 6*l**2 - 7*l. Let w be b(-3). Let v = w - 142. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317 - 1122. Let f = x + 808. Put f, -3, 0 in increasing order.\nAnswer: -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 12*i - 10 - 7 + 3 + 2*i**2. Let f be b(-10). Suppose -f = -2*w + 224. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -87044 (base 9) to base 12\nAnswer: -29427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19d4aa (base 14) to base 7.\nAnswer: 10551503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -35. Is 23 a factor of ((-9)\/o)\/(((-22)\/136)\/(-11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**8\/6720 + v**7\/1680 + v**6\/720 + 7*v**5\/6 - 113*v**2. Let z(m) be the third derivative of q(m). Determine z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.1 in -2\/7, -3, 6\/5, 4, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 - 61. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/8, 0.08.\nAnswer: -1\/8, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 72*k = 71*k - 75, 6*k = 2*l - 54 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, d: 3}. What is prob of picking 1 a and 2 d?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332 + 21*h + 0 + 301 to n + r*h and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3 - -4) + 1)*-2. Let s(r) = -3*r**2 + 4*r. Let n(d) = d**2 - d - 1. Let f(h) = b*n(h) - s(h). Let a be f(0). Solve 5*k - k = -a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.00509ng to kilograms.\nAnswer: 0.00000000006000509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5660408 and 155\/16981224?\nAnswer: 16981224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1236 and 67\/11124.\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 36*i**2 + 105*i = 0. Calculate i.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -68?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 420 + 396 = 0. Let b = 290 + -139. Let c = b - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18999 + 18859 = -5*f. Solve f*m + 102 = 11*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 - 2*n**2 + 3*n - 4. Let z be c(3). Let j = z - -1. Suppose -5*a = -0*l + 2*l - 60, -j = -5*l - 3*a. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10551 is divided by 234?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3\/3 + 1145*f**2\/2 - 5969*f + 4439. Find the first derivative of l(g) wrt g.\nAnswer: 4*g + 1145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240 - 240. Is r < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20592 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-32*(-5)\/(-20))\/((-3)\/2 - (-1862)\/1140)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63546*m*t**3 - 25458*t**3 with respect to m.\nAnswer: 63546*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 50 - 40 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kkjjxxjk?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56372 and 1632?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.21 (b) 6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10*c**3 - 9*c**2 + 5*c + 1. Let q be r(1). Solve -5*m + q = 4*i, 0 = -2*m - 9*i + 14*i + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 3)*((-6)\/4 - 19\/(-38)). Let z(r) = -9*r**2 - 4*r + 4. What is z(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 42*i - 428. What is the tens digit of k(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(55)\/((sqrt(140)\/sqrt(7))\/sqrt(4)))**2*4.\nAnswer: -32*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2 + 2)*(-2 - 3*u + 2) - 5*u**2 - 4*u + 4*u + 18 + 12 - 3*u**2 + 4*u**2.\nAnswer: -10*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*p**2 - p + 3*p - 11*p**3 + 10*p**3 + 5*p as i*p + w + n*p**3 + k*p**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c2 - -8?\nAnswer: -3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/(o**(-3\/5)\/o))\/o)*o)**(-2\/27)\/(o**(-2)\/o**(-2\/21)) assuming o is positive.\nAnswer: o**(614\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-273)\/272 + 1). Let v(g) = -g - 1. Let z(r) = r + 21. Let t(c) = 3*v(c) + z(c). Let w be t(-8). What is the highest common factor of a and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/179025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -2\/5, 991, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/39, 250.51, 0?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -329, -1223, -2997, -5945, -10361, -16539, -24773?\n\"Answer: -49*b**3 + b**2 + 32*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 + 283. Let v be 135\/(-6)*z\/10. Is 37 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from ammnal?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 5*n + 1. Let b(v) = v**2 + 6*v - 3. Let y be b(-6). Suppose -2 - 12 = -2*j. Let t(c) = -4*c**2 + 11*c + 2. Give j*l(p) + y*t(p).\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*v + 307 - 332, 5 = r - 5*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/1720620 and -65\/20328.\nAnswer: 24088680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037358273 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and 5?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*c. Let k(v) = -v**3 + 3*v**c + 3 - v + 4 - 4. Let u be k(3). Solve u*a + 4 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105.95 + 0.4203.\nAnswer: -105.5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.4 + -9.77. Let i = -0.05 - d. Round i to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538083.\nAnswer: 1538083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 3*j**7\/490 - j**6\/20 + 11*j**5\/140 + 2*j**4\/7 - 6*j**3\/7 - 99*j**2. Determine d so that l(d) = 0.\nAnswer: -1, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -154. Solve 4*j - 5*y + w = 3*j, -10 = -4*j - 2*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 3. Let r(h) = 2*h + 5. Let f(z) = -6*r(z) - 10*s(z). Let y = -14 - -12. Let i be f(y). Which is the nearest to 0? (a) -5 (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 + 3*h + 4. Let w(a) = 7*a**2 - 2*a - 5. Give -2*f(c) - 3*w(c).\nAnswer: -5*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 474 (c) -3 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 80*k + 1680. Let j be u(15). Which is greater: j or -220?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.5 - 8.7. Put k, -0.5, -21 in descending order.\nAnswer: k, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/13 (b) -0.5 (c) -2 (d) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -661 (base 13) to base 10\nAnswer: -1093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1397*r + 2145 = -1177 - 869 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + s - 2*s**2 + (4*s + 0*s - 3*s)*(0*s - 2*s + s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.5, 0.7, 6 in decreasing order.\nAnswer: 6, 0.7, -7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 18. Let o be y(-13). Let c = 123 + o. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) 0.5 (c) 1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5109621.\nAnswer: 3, 11, 67, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45125011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, 2481 in descending order.\nAnswer: 2481, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*h = -334*h - 210 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61.7 - -58. Let d = -4 - o. Which is the smallest value? (a) d (b) 2\/17 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1749, 13976, 47133, 111672, 218045, 376704, 598101, 892688?\n\"Answer: 1742*t**3 + 13*t**2 - 6*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t*t\/t**(-2\/3)*t)\/(t\/(t*t*t**0\/t*t)*t*t*t*t*t\/t**4*t) assuming t is positive.\nAnswer: t**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/2 + 2\/((-28)\/(-21))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 13}. What is prob of picking 1 m and 1 i?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923 - 923 - 28*j**3.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7807483 to the power of 1\/2, to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/136699836 and 121\/10515372?\nAnswer: 136699836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Let f = 0 + n. Let t = 60940 - 60935. Sort -2\/3, 1\/9, t, f in descending order.\nAnswer: t, 1\/9, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 32\/63 (b) 2 (c) 3\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 751493\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*h - 5*a + 8, 2*a + 12 = -5*h. Let n(l) = 0*l - 3*l**2 + 2*l**2 + 4 - 2*l. Let b be n(h). Is b > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 39*j**2 - 3*j - 4. What is the hundreds digit of x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -53, -84, -115?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18*3*(0 + -3 + 2). Let a = 61 + y. Suppose 33028 = a*w + 9137. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 112099267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -172 + 343 - 173 - 2*n**3 - 3*n as j*n**3 + m*n + z + w*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t, v + 4*t - 13 = 3. Let z be 44\/v*(3 + 19). Suppose 2*g = -k + z, -g + 51 = k - 12. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 8 = 0. Solve -4 = l*r, 2*z + 1 - 5 = -2*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4328 or 56274\/13?\nAnswer: 56274\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b - 33. Let u be w(-4). Solve -2*p - u = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/19 - 22*j\/19 + 1044\/19.\nAnswer: -2*(j - 18)*(j + 29)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 + 370 = 38*h + 641. Solve -4*w = h*j + 14 - 0, -j - 9 = 3*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.7 + -37. What is the second smallest value in -5, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15310*n - 11964.\nAnswer: 15310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032.722l to millilitres.\nAnswer: 4032722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1135.8 + 1136. Which is the nearest to -1\/4? (a) -2\/15 (b) 3 (c) y (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127131584*b**3 + 90132000*b**2 wrt b.\nAnswer: -762789504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 618 = -q - 2*q, 4*m - 604 = -4*q. Let x = m + -154. Sort x, -11, 1.\nAnswer: -11, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*m = 6*r - 1069, -4*r + 2*m = -1416. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7596089?\nAnswer: 1609, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -3, 2\/31, -388?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m - 314 - 39*m - 71*m + 179*m - 50*m.\nAnswer: -42*m - 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -68*y. Let r be m(-1). Suppose 4*u = 1288 + r. Let x = -20 + u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 467, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-1)\/(-4))\/1)\/(238\/952). Let u(m) = -5*m**2 - m - 4. Let i(b) = -b**2 - b. What is h*u(s) - 2*i(s)?\nAnswer: -3*s**2 + s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5085*j + 5219*j = -10452 for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/336 - 41*o**6\/60 + 61*o**5\/10 - o**4\/6 + 5792*o**2. What is the third derivative of h(b) wrt b?\nAnswer: -60*b**2 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66724443?\nAnswer: 3, 47, 233, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/((-3)\/(-18)). Let p be 1\/4 + (-38)\/(-8). Let b = p - z. Calculate the remainder when 1 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/28 + v**5\/30 + 5*v**2. What is the third derivative of d(o) wrt o?\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 6. Let f(b) = b**2 - 2*b - 9. Let i be f(5). Let g be k(i). Solve g = w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18.7, 116581, 0.3, 0.2, 3?\nAnswer: 116581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m - 9. Let b = 5019\/2 + -2464. Let n = b + -447\/10. What is the nearest to 2 in -0.2, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 15*y - 74. Is 2\/75 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*d + 20*d - 35. Does 4 divide 86 - (-9)\/15*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293687.311 rounded to the nearest 1000?\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 + 147 = 7*s. Suppose -4*i + 2*o = -264, -i - s*o + 66 = -52*o. Are 2 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 32*i + 34*i + 1371 = 0, -4*c + 5544 = 2*i. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4031696 and 81\/580.\nAnswer: 20158480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26784 and 1056.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*f + 52017981 = 0, 3*h = -2*f - 19970830 - 11239957. Let w = -15044597 - h. Round w to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20b - -c178?\nAnswer: c386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265529289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 29?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 814 = -319. Suppose 0 = 7*u - 4*u - z. Calculate the highest common factor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 63 = 4*h. Let d = h + 29. What is the common denominator of (-71)\/(-44) + (-9)\/d and 7\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a8305 (base 12) in base 8?\nAnswer: -11306665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 980675.99967 + -980680. Let u = -4 - h. Round u to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 9972773?\nAnswer: 997276d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/7 + 769341*r**2\/7 + 2308016*r\/7 + 1538676\/7 = 0. Calculate r.\nAnswer: -769338, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/(-92))\/(1\/(4\/6)). Let c = -132 - -658\/5. What is the closest to -1 in b, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1054, 2016, 3064, 4192, 5394?\n\"Answer: -o**3 + 49*o**2 + 822*o + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2268 and 12116790?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -124 (b) 0.4 (c) 832\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 10*l - 6. Suppose -2*q = -5*v - 51, -2*q + 13 = -4*v - 29. Let j be k(v). Which is the second biggest value? (a) -3 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - v - 16, -1094*v + 1097*v + 28 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62\/115 + -4613\/6210. Find the common denominator of w and 47\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1082018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 11*x + 2. Let q be 18\/(-30) - (-33)\/5. Let o(d) = d**2 - 10*d + 1. Let z(u) = q*o(u) - 5*l(u). What is the units digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27829 (b) 8\/19 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 - 33?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 8 - 13)*(-2 + 2 + l) to x + n*l and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -377 + 691. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*q + 204*q = -26 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 7371\/8, 4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2 + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 360493 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3392*d + 873*d - 351*d - 1256*d.\nAnswer: -4126*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 - -5.18. Let y = k + -4.99999995. What is y rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 27*t**2 + t + 7. What are the prime factors of s(-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 25 = -3*w. Suppose -3*m - w*f = -15, m - 12 = -0*m - 4*f. Let o be (-3)\/((-3)\/2) - m. Solve 0 = -o*j + 4*i - 3 + 17, 0 = j + i + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-3 + 4 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2106426 (base 7) to base 6.\nAnswer: 5241403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 315 = -4*a, 7*a = 4*g + 6*a - 1311. List the prime factors of g.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-2)*20\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5124 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363570632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -53. Do t and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 430832?\nAnswer: 861664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from eewoqeoe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from {w: 7, y: 3, e: 2, t: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*k**2 - k + 1)*(k - 2 + 2) + (24*k - 24*k - 39*k**2)*(3*k - k + 0*k + (-4 + 1 + 5)*(0*k - k + 2*k) + 1 - 1 + k).\nAnswer: -200*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/147)\/(10\/(-14)). Let p = -132 + 531\/4. What is the closest to 1 in p, -5, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = -15*y + 76. Let v = -8 - y. Solve 3*o = 2*o + 5*a + 8, o = v*a + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 + 3*d + 3. Let j be c(3). Let q = -1 + j. Factor 8\/7*m - 8\/7*m**q + 0 + 2\/7*m**3.\nAnswer: 2*m*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024235 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 + 306 = 4*r. Put r, 3, 1 in ascending order.\nAnswer: 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 8*r**2 + 5*r**2 + 37)*((0 + 0 + 2)*(0*r + 3*r - 2*r) - r + 8*r + 0*r).\nAnswer: 18*r**3 + 333*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45 - ((-4)\/2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -70, -108, -144, -178, -210, -240?\n\"Answer: i**2 - 43*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -5\/2, 8\/7, 0.3?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + -9 - (-2 - -2 - 2). Solve q = -b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 55*s**2 + 57*s**2 + 2*s - 4*s.\nAnswer: 2*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bck. What is prob of sequence cbk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 203 = -8*l. Let d(a) = -a**3 - 4*a**2 + 7*a + 2. Let x be d(-6). Let v = x + l. Solve 5*h - 4*y = 6, h - 2*y - v = -y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825.0122 decades to months.\nAnswer: 99001.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34137616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 + 5*r - 4. Let y be v(-6). Suppose -y*q + 1 = -q. Let j = 1 + q. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 46*z**2 + 150*z - 14. Calculate p(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2) - 2)*-1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2736)*1)**2 + 4 - ((sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)))*4 - sqrt(133))\/(sqrt(343) + 2*sqrt(343)))*-5.\nAnswer: -13705 - 15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Suppose 111 - 18 = j*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 + 29 = -4*p, 0 = -5*p - 25. Let t be (28\/8)\/(k\/8). Let z(c) = 2*c + 16. What are the prime factors of z(t)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1098122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-276)\/23 - (-2 + -22). Solve -9*r + i*r + 13*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13625596*a*c + 486669*c wrt a.\nAnswer: 13625596*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -40*q**2 - 1835*q - 3. Let w(j) = -2*j**2. Give k(w(d)).\nAnswer: -160*d**4 + 3670*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -0.0804837480985\nAnswer: -0.4804837480985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 1. Let x be h(1). Suppose x*v = -6 + 8. Suppose 1 + v = b. Solve 0 = b*o + 2*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 814.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 = -118*p - 172. Sort -4, 11, 2, p.\nAnswer: -4, 2, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssil when four letters picked without replacement from llllisisi.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 3. Let w = -32 + 56. Suppose 9 - w = -5*i. Calculate r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - 15) - (1252 + -1262)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -221\/43 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2. Let u(n) = 6*n**2 - 3*n - 3. Let b(s) = 6*s**2 - 4*s - 4. Let z(y) = 3*b(y) - 4*u(y). Calculate z(c(a)).\nAnswer: -216*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*g + 1153 - 541 - 7982 = 21*g for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -42*j + 757. Let l be m(18). Let b = -4 - -6. Suppose 5*d = 4*z - z - 7, -11 = -3*d - b*z. Solve -d = q + l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -6094, -133, 5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/56)\/18*42\/252\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-84))\/((-2)\/4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3104*g*o**3 - 2*g*o - 2*g + o**4 - 30*o + 2 wrt o.\nAnswer: 18624*g*o + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 190. Let o(q) = 14*q + 89. Let n be o(s). Solve -j + j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2)*(-4 - 0). Let l be o - (0 + (2 - 2)). Suppose -l*q = n - 10 - 4, -5*n + 6 = 4*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 2, 46 = -5*b - 2*s. Let n = b - -6. What is the remainder when -6*14*n\/24 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*v**5 + 3*v**4 - 7*v**3 + 54*v**2 - 308 wrt v.\nAnswer: -360*v**2 + 72*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21728668 by 417859.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) - -1*sqrt(170)))\/(sqrt(490)*-2).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 2*k - 0, 0 = 4*b + 20. Suppose -3*n - 77*w = -75*w - 764, 5*n - 1275 = -3*w. What is the greatest common factor of n and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/4)\/((-5)\/120*-6). What is the third derivative of -1532*y**3 + 16*y**5 + 1532*y**3 - x*y**2 wrt y?\nAnswer: 960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + l + 2*l + 420, -2*l + 336 = 4*i. Let d = i - 37. Find the second derivative of 42*c**5 + 7*c - d*c**5 - 2*c wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 884, 1090, 1344, 1640, 1972, 2334?\n\"Answer: -x**3 + 30*x**2 + 123*x + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from vuvvvuvvuuuvu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13156 divided by 44.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103440 (base 5) to base 6.\nAnswer: -24432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(176) + -6*(sqrt(99))**2.\nAnswer: -594 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from yisiy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 532595827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = -1317 + 1371. Suppose -5*k = 3*g - 58, -3*k - 1 + 27 = g. Let u(v) = v - 3. Let a be u(g). Solve -a = -f*z - z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -740 + 742. Let g(w) = 0 + w**i - 76 + 67 + 14*w. Determine g(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30570799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37412796 and 24.\nAnswer: 74825592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.63896 centuries in millennia?\nAnswer: 5.763896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -2*z, -8 = -3*z + 2*z + 2*r. Suppose 3*y = x + 369, 6*y - x = z*y + 493. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + 1 - (54 + (-58 - -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 - (1 - 10\/(-5)). Suppose 23*p = q*p + 224. Let a = -29 + p. What is the least common multiple of a and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 1. Let w be 1\/(-3) + (-32)\/12. Let p be o(w). What is the units digit of (-4)\/p + 9\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - s = 13, 13*s + 17 = 4*z + 14*s. Suppose 0*a + 4 = 2*a + 5*x, 4*x = z*a - 10. Solve -9 = -a*y + 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1562.5 + 1563. What is the third biggest value in -2\/7, 12, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 16 in descending order.\nAnswer: 16, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458590510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 108, 145, 178, 207?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11552 and 1917632.\nAnswer: 1917632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2283, 1210, 121, -990, -2129, -3302, -4515?\n\"Answer: -u**3 - 2*u**2 - 1060*u + 3346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-6))\/((-5*4)\/(-4)). What is the nearest to -1 in -22, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s + 31 + 18 = -16*s - 19*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7450)\/(-745)*(-6)\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736 = -950121*n + 950183*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 35. Sort -3, d, -4 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 76 = -2*n. Let j be (n\/8)\/(14\/(-56)). What is the tens digit of j\/(-60) - (-247)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 99. Let f = p - 26. What is the fourth biggest value in 1\/4, f, -0.06, 0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glgl when four letters picked without replacement from {g: 3, l: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -100, 10, -47, 3\/4.\nAnswer: -100, -47, -0.08, 3\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1610*b**4 - 1190*b**2 - 3*b wrt b.\nAnswer: 38640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -477 - c**2 + 9*c**2 + 460. Let m(h) = h**2 - 2. Determine -51*m(j) + 6*r(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/3))**(1\/3) assuming n is positive.\nAnswer: n**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1763, 3, 2, 5 in descending order.\nAnswer: 1763, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 l when three letters picked without replacement from bbllllllblbb?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/60 - 19*d**4\/24 - 8*d**3\/3 + 11*d**2. Let n be q(-18). Sort n, 0, -5 in ascending order.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 66 (b) 0.5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6780)\/(-90))\/((-2)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78469, -78530, -78581, -78622, -78653?\nAnswer: -78674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(1*6\/21). Let k = s - 4. What are the prime factors of k\/4*21\/9?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-14 + 13)\/(2\/(-4)). Do 14 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -1252933851755.\nAnswer: -1252933851751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5175? (a) 0.05 (b) -0.5 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2712*w**3 + 7*w**2 + 1398*w - 4. Let t(c) = 8136*c**3 + 20*c**2 + 4178*c - 12. Let s(k) = 17*o(k) - 6*t(k). Find the second derivative of s(n) wrt n.\nAnswer: -16272*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/7))**(-2\/71))**(-2\/73) assuming g is positive.\nAnswer: g**(-4\/36281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 19 - 793*o - 5*o**3 + 800*o.\nAnswer: -5*o**3 + 7*o - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -404\/9. Let f = 12 + -13. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 4, p: 2}. What is prob of sequence nj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w, 5*y + 2*w = 297 + 1432. Suppose 3*r = -r + 12, g = 2*r + y. Is g a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001429811 rounded to six dps?\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3146 or -3145?\nAnswer: -3146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366399725 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 191, 427, 757?\n\"Answer: 47*h**2 + h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -19 (c) 2 (d) 0.12 (e) -1 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + 0)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11955996.\nAnswer: 2, 3, 13, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 249756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -41 + 41 - 2*h. Let f(d) = -d**2 + 1. Suppose 3*g - 16 = -19. Determine g*t(q) - 2*f(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y**2\/2 - 2. Let n(f) = -18*f**2 - 1. Determine n(j(m)).\nAnswer: -162*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 261*n**2 + 0*n**4 + 0*n + 0*n**5 - 247\/6*n**3 + 0 + 281\/120*n**6. What is the first derivative of h(d) wrt d?\nAnswer: 843*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqpqxqqqqq. What is prob of sequence pqx?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.104480584 rounded to 3 decimal places?\nAnswer: -1.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 17880?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/427308 and 93\/284872?\nAnswer: 854616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267420 rounded to the nearest ten thousand?\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 (base 14) in base 7?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -3*x. Suppose -4*g + 12 = -x*k, 2*k + 0*k = 2*g - 2. What is the second derivative of -6*d**5 + 4*d + 2*d**g - d**5 + d wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.47 (b) 6 (c) 1.9 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. What is the units digit of 3\/4*16\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194 + 207. Solve 4*x**2 - 25*x + 58 + d*x - 50 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 331 = 30*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/10 - (-48)\/80. Let q = -0.07034 + 5.07034. Which is the nearest to 1? (a) -1\/3 (b) r (c) 14 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 2, y: 2}. What is prob of sequence yw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8 + (-21)\/6. Let q(v) = 2*v**2 + 6*v + 5. Let f be q(-3). Suppose -3*t = -3*u + 5 + 46, -3*t = f*u + 19. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 158*h**2 + 38*h - 1031. Is t(35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1 + 3*t + t - 3*t + (7 - 2 - 3)*(0*t - 3*t + 5*t) + 0*t + 0*t + 2*t + 0 - 5*t + 0 - t - 2 + 2)*(2*t**3 + 3*t**3 + 0*t**3).\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 81 = 3*y, -3*i + 2*i = -3*y - 79. Let n = -117\/5 + -261\/10. What is the common denominator of (y\/4 - 4)\/(-3) and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/45 + 1318\/(-18). Let h = n + 72. Let f be (-1 - h)\/(1\/(2\/(-4))). Solve f = 4*u - 6 - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s)\/(s**6\/s*s)*(s**(1\/7)\/s)\/(s\/(s*s**(-2\/19)*s*s*s)) assuming s is positive.\nAnswer: s**(5\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -145, -1, 0, -13 in ascending order.\nAnswer: -145, -13, -7, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*14\/35)\/(-2). Let j(i) = -i - 4. Let g(u) = 3*u + 3. Let s(y) = -13*y - 13. Let z(n) = 9*g(n) + 2*s(n). Determine v*z(b) + j(b).\nAnswer: -2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 - 69 + 37)*(-273*z**4 + 591*z**4 - 470*z**4) to the form y + u*z + p*z**4 + a*z**2 + j*z**3 and give p.\nAnswer: -5168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*u**2 + 7*u**2 - 28*u**2 as d + n*u**2 + p*u and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16573 less than -2732.177?\nAnswer: -19305.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/5576 + 168369\/674696. What is the common denominator of -34\/209 and s?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:33 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-76)\/(-399))\/(20\/(-14)*-1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 77*i**3 + 12. Let n(w) = 152*w**3 + 27. Determine -2*n(x) + 5*z(x).\nAnswer: 81*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -192, -305, -436, -591, -776, -997, -1260?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let g(k) = 1. Let x(y) = 3*g(y) - 2*t(y). Let s be x(3). Let v be 1 + -1 - (-16)\/(-4). Sort s, v, -2 in descending order.\nAnswer: -2, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 - -239. What is the highest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3 + (2 - 2 + 2)*(3 + 2 - 3))*(-173 - 63 + 31)*(0 + 1 + 1)*(4 + 0 - 3)*(-2 + 2 + a).\nAnswer: -1230*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, 17, 4, -379 in descending order.\nAnswer: 17, 4, -2, -3, -4, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-7) - 6\/2. What is the remainder when 2 is divided by (2\/(-4))\/(1\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1649, 2, 1, 0.3, -5, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -569*g + 1139. Let s be r(2). Which is the third smallest value? (a) s (b) -1\/64 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (564\/(-72) - -8)\/((-33)\/79) and 43\/93.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -25*w**3\/3 - 5*w**2\/2 - 17*w + 35. Differentiate c(f) wrt f.\nAnswer: -50*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 819\/5 in 0.5, 6, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.142746 times 8?\nAnswer: -1.141968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 127 = 2. Let h = k + 35. Let z = 26 + -16. Calculate the greatest common factor of z and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*h, -4*o - 4*h - 14 = -3*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 913\/7, 0.1, -2, 1\/16, 2\/65 in ascending order.\nAnswer: -2, 2\/65, 1\/16, 0.1, 913\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -37*x + 1\/7*x**4 + 38\/21*x**3 - 4*x**2 + 0. Factor y(b).\nAnswer: 4*(b + 7)*(3*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -3 + 3)*(119 + -4). Let z = 248 - t. Let b = z - 38. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7521450*y + 7521450*y + 6*y**2. Let b(g) be the second derivative of -15*g**4\/4 + g. Calculate b(n(l)).\nAnswer: -1620*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 595125510 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 17 = -s - 7, -g - g + 511 = -42*s - 5*g + 163 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 divided by -1?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 31. Let v be -3 + (6 - s)\/((-4)\/14). Let h = 1 - -3. Solve -b - v*j + 15 = h*b, -j = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17130.48ng to kilograms.\nAnswer: 0.00000001713048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144551134*v**3 - 29375938.\nAnswer: -433653402*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1996 + 3802. Suppose 870 - b = -8*w. Is w a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547 at most -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 25*x**2 + 113*x + 100. Determine d(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 56*d**2 - 33*d**2 + (d - 4*d + d)*(2*d - 2*d - 2*d) - 3*d + 3*d + 2*d**2 - 5*d**2 + 3*d**2 + 3*d**2.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 13. Let v = -8 - i. Let c = v + 2.00000002. Round c to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 8, e: 5, y: 3, h: 2}. What is prob of sequence vvh?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-3 - 0) - (-319 + 322)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:11 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9993471 - -143?\nAnswer: -9993328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15400*a**4 - 15340*a**2?\nAnswer: 369600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 33 = -89 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918494059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4191)\/(-120) + (-99)\/55)\/(13 - 57\/4)?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 581 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7472*-30.497\nAnswer: 227873.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let f(y) = 2*y**3 - 26*y**2 - 2*y - 2. Let b(i) = f(i) + 2*u(i). What is the third derivative of b(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/360*16)\/(3*6\/225).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 9) to base 11.\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/8)*t**(-6))\/(t**(-2\/5)*((t\/t**5)\/t)\/t*t))**48 assuming t is positive.\nAnswer: t**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7511300 is divided by 409.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224037831?\nAnswer: 149, 701, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1639 + -5?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 28 = -4*t. Let h = 15 - t. Suppose 82 = 5*j - h. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68248 and 2584?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 58 + 26 + 31.\nAnswer: 12*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (60 - 12 - 2)*(3 - 4*s - 3) as j*s + t and give j.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 13. Let u be q(-10). Suppose -8*j + 29 + u = 0. Suppose 5*v - 1112 = j*f - f, -v + 220 = -3*f. What are the prime factors of v?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9118792 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 50, 74, 98, 122, 146?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.239 and 330.8.\nAnswer: 79.0612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129697 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839.654 years in decades?\nAnswer: 683.9654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 170 - -2?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 37 - 30)*(7*b - 14 + 14) in the form d + r*b and give r.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 165*n - 1425. Calculate b(8).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*u**2 - 7*u**2 - 122*u**2.\nAnswer: -228*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 228*r - 450*r + 225*r. Let y(s) = 38*s**2. What is v(y(h))?\nAnswer: 114*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.488 + 0.012. What is the third smallest value in z, -3\/2, -1\/4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17163403 to the nearest integer?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/2, -2, -14, 3\/11.\nAnswer: -14, -2, 3\/11, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127821417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392 + -365. Calculate the remainder when x is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = -5*k - 73, 0 = -3*z + 4*k + 54. Suppose 4*s - 212 = -0*s. Calculate the remainder when s is divided by (z - 4)*(1 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1620976320 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 1. Let x(a) = 2*a**3 + 2*a**2 - 35. What is -w(v) + x(v)?\nAnswer: v**3 + 2*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 17. Suppose 2*l = -6, -4*u + 2 = -2*u - 2*l. Which is bigger: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/48*(-6)\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 368 = 4*k, 3*r + 2*r + k - 953 = 0. What is the remainder when r is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5246445*u**4 - 6362982 wrt u.\nAnswer: 20985780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 86*b**2 - b**3 - 82*b**2 + 1 as f + t*b**2 + z*b + v*b**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -2418?\nAnswer: 7254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 23\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -1\/3*s**3 + 8 + 0*s + 0*s**2. Factor b(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -74\/5391, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/45 or -2\/3?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89971 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 plus -1713610?\nAnswer: -1713609.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35309454, 35309468, 35309484, 35309502, 35309522, 35309544, 35309568?\n\"Answer: m**2 + 11*m + 35309442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 12?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-25)\/(f**(-47)*f))\/(f**(-5\/3)*f*(f*f**(2\/53))\/f))**(-4\/9) assuming f is positive.\nAnswer: f**(-13756\/1431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 107. Let g = -73 + k. Solve -5*i + g = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7520 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f. Let m(d) = -16279*d. Give m(i(l)).\nAnswer: 130232*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 257687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-1 + (-26)\/(-25)). Suppose -3064 = -2*o + 3*j - 579, -3*o + 3*j = -3720. Let f = w + o. Round f to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/3744 and -47\/72.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4588*z = -4587*z + 1. Let q(y) = y**3 - y**2 + y. Let j(g) = 10*g**3 + 5*g**2 - 5*g. What is z*j(s) - 5*q(s)?\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 15*v - 747. Calculate the remainder when 159 is divided by k(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-432)\/(-132) + (-36)\/132. Let w(a) = 2*a**3 - 2*a**2 - 3*a - 1. Let d(m) = 4*m**3 - 4*m**2 - 7*m - 3. What is h*d(o) - 7*w(o)?\nAnswer: -2*o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 2\/27, 0.5.\nAnswer: -6, -4, 2\/27, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/24 + 2*j**2 + 20*j. Let p(g) be the first derivative of a(g). Let l(z) = 5*z + 6. Calculate l(p(c)).\nAnswer: 5*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-19)\/(-1330))\/(6\/5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 - 5*l**3 - 9*l**3 + 10*l**3 + 7*l**3 + 14*l**3.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a factor of 98733726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182*y**5 + 53205*y**4 + 2871*y**3 - 161979*y**2 + 108435*y - 1350 = 0.\nAnswer: -2, 5\/394, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 0) + -9 + (-8 - (-19 - -8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47328 - 29887. Suppose 3*a - r = 5098. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 - 175. Suppose 11*s - 2*g - 2572 = a*s, -g - 2 = 0. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 333 = -585. Calculate the remainder when h is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 5*n - 9. Let y(i) = i**2 - 5*i + 8. Let c be y(4). Let w be l(c). Calculate the least common multiple of w*(3 + -2)\/((-1)\/5) and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260302 is divided by 131.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857 bigger than -35233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 3, t: 5}. What is prob of picking 3 v?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6414.8939 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, 29, -3, -5, 3, 6 in ascending order.\nAnswer: -56, -5, -3, 3, 4, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 25*y**2 + 3. Suppose -5*m + 3 = 8, -72 = 3*g - 3*m. Let o be r(g). Solve 0*w + 4*w + b = 0, -2*b = -o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 40*l**2 + 124*l - 106. Calculate the lowest common multiple of b(22) and 196.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 1, c: 13}. Give prob of picking 2 c.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35593701721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 2*h. Let u = -62 - -52. Let g(v) = -v**2 - v. Give u*g(w) + 4*f(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -3550?\nAnswer: 3549.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jjbpdqqqwpbw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 21*t. Let a be (9\/126)\/(12\/98). Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 927 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359108190 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*m, 5*m - r = 2*r. Suppose 10 = -m*y - y. List the prime factors of (0 - -6)*y\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/114 + 206*p**3\/57 + 416*p**2\/19 + 894*p. Suppose z(y) = 0. Calculate y.\nAnswer: -2, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 33*u - 40. Let q = -359 + 372. List the prime factors of o(q).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23231692.5 - 508624.5. Let q = 22723018.000058 - h. Let w = -50 - q. Round w to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65530 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1614.764832 and 2.1.\nAnswer: -1612.664832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -111. Solve -4*x - 10 = -3*g - 1, -h*g + 3*x + 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k**4 - 44*k**3 - 36*k**2 - 20*k + 32. Let i(o) = o**4 + 2*o**3 - 2. Let w(g) = h(g) + 16*i(g). Factor w(m).\nAnswer: 4*m*(m - 5)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 + 454 = 13*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311 - 291.9. Let y = 18.97 - h. Which is the nearest to 3\/2? (a) 2 (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/3)\/(214\/(-6)). Let w = -109\/4280 - h. Let g = w + 171\/20. Calculate the common denominator of g and 11\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 111?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -288 * 3091.2.\nAnswer: -890265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267 + 76. Let w = -168 - o. What is the nearest to 1 in w, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8866 and 1430.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9472 rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13802, -13803, -13804, -13805, -13806?\nAnswer: -13807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98075*r + 4*r**2 + 98075*r - 3.\nAnswer: 4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1298.6 and 5.\nAnswer: -1293.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:30 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - j = -7, 0 = 4*q + 5*j - 0*j - 33. Let x(p) = -115*p**2 + 53*p**q + 86*p**2. Let n(d) = -4 + 4 - d. Calculate x(n(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5*r**2 - 8*r + 2. Let p = -41 + 47. Give i(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 12. Calculate x(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoooeeoooooecmoeewow. What is prob of picking 2 w and 1 o?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/(-20))\/(1265\/75 - 17).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 + 2*h - 2. Let a be s(5). Suppose 3*w - 55 - a = -2*m, -4*m + 115 = -5*w. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17843247 and 15897?\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93.38885 litres?\nAnswer: 93388.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*q - 2 - 42797*q**3 + 42798*q**3 + 1 + 3*q**2 + (5*q + 0*q - 2*q)*(q - q**2 - q) as c + u*q + t*q**2 + p*q**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-51400)\/70 + (3 - -1)). Let t = -163591\/224 + z. What is the common denominator of t and 43\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c + 2)*(-2*c**4 + 3*c**4 + 2*c**4 + (-2*c - 2*c**2 + 2*c)*(-4*c**2 + 4*c**2 - c**2)).\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.05, 133, 0.1, 1343?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 42977 - 6.\nAnswer: 42971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnpz when four letters picked without replacement from zppzzfnzinppnpppn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 563, 756, 949, 1142, 1335?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -t - 32, -49 = 4*t + 4*k + 91. Let j = -12 - t. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58962\/4650 + (48\/(-6 - -2) - 1)?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q**3 + 11*q**3 - 17*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**5 + t**4 - 16*t**3 - 53*t**2 - 13*t + 16. Let p(y) = -y**3 + y**2 + y. Let v(z) = -4*h(z) - 36*p(z). Determine r, given that v(r) = 0.\nAnswer: -2, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69752, -139502, -209250, -278996, -348740, -418482, -488222?\n\"Answer: j**2 - 69753*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 1}. Give prob of sequence ad.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose o*i - 4 = -i. Suppose 17 = 4*d - 3*r, i*r + 19 = 5*d + r. Solve -m = 5, d*m - 7*m = 5*f + 45 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -841.2 - -841.196932. What is q rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 81. Let k = -4481 + 4488. Calculate the remainder when t is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47860?\nAnswer: 2, 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8824, -17661, -26506, -35359, -44220, -53089?\nAnswer: -61966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-13) - (8822\/(-15639) - (-7)\/21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.48473 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*u + 30. Let s = 7 + -2. Let i be 13\/s + 6\/(-10). Calculate the highest common divisor of u and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*k = 672*k - 3*l, -3*l = -5*k + 36 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 - -2)*(-24)\/(-8). Let c = 44 - b. Is (3 - (-119)\/(-2))*(-4 + c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, -1\/5, -1.1, -22, -110?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from yczcyiiyic?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -12, -31, -58, -93, -136, -187?\n\"Answer: -4*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -201, 4\/7, -1?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + y**2 + y**2 - 5*y**2. Let w(b) = -74*b**2. Calculate l(w(m)).\nAnswer: 10952*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (760\/(-57))\/4*(2\/2)\/(44\/(-132)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**3 - q**2 - 4*q + 3. Let g be z(1). Suppose 0 = -6*o + g*o - 23. Let s(j) = 28*j**2 + o*j**2 - 23*j**2. Let n(f) = -2*f**2. Determine n(s(b)).\nAnswer: -1568*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + (-227)\/5. Let x = h - -12. Let a = 2 - x. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xklkhtx. What is prob of sequence kl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 32*d - 203 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/15 and -41\/5808.\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (2 - -1) - -1. Let c = 2 - p. Let u = -3 - -3.1. Are u and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 - 1518*f - 168480 = 0. What is f?\nAnswer: -624, -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/23, -5, 1133, 0.6, -2?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a - 30 + 360 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -644617 (base 9) to base 5.\nAnswer: -44241311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1399*m**2 - 2102160 + 2102160.\nAnswer: -1399*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*b**2 + 410*b - 410*b)*(-3 + 3 - 1) + 4*b**2 - 5*b**2 + 0*b**2.\nAnswer: -91*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*v - 3*v - v) + 7*v - 3*v - 9*v + (0 + 1 + 3)*(-5 + 19 + 2)*(2*v + v - 2*v).\nAnswer: 63*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 56*u - 6 = -60*u, -5*t + 5*u = 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*n - 6*n. Suppose -6 = 4*v - n*v. Suppose -w + 21 = -v*m - m, -w = 4*m - 56. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 88 + 389. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 1, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 12*q - 2*o - 14, 3*q + 5*o + 41 = 0. Which is smaller: q or 46?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 9*d**4 - 6*d**4 - 5*d + 18*d**4 + 4*d**2 + 4*d to f*d**3 + r + w*d**2 + b*d + j*d**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:39 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3004*q - 3409*q + 509580 = 1078*q - 2127*q for q.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (408\/(-18))\/((-1)\/(-3)). Let l = j - -162. Suppose 5*x - f - 219 = -0*x, 2*x - l = 2*f. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 16*k + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10*z = 24. Suppose 0 = 3*o - 4*v - 5, -o = 3*v - z - 2. Let i be o + -1 + -9 + 2. Put 4, 0, i in decreasing order.\nAnswer: 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 185*y**2 + 37*y. Let x = -4099 + 4136. Let c(q) = 31*q**2 + 6*q. Calculate x*c(n) - 6*z(n).\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940 and 527140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 6*v**2 + 10*v**2)*(-2*v**3 - 2*v**3 + v**3).\nAnswer: -33*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10202 (base 4) to base 15\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 289*j**2 - 8*j + 0*j + 16*j.\nAnswer: 289*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -2\/7, 3\/4 in increasing order.\nAnswer: -3, -1\/3, -2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttnm. Give prob of picking 1 t and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -802712, 2 in descending order.\nAnswer: 11, 2, -802712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/(((u*u*u\/(u**2*u)*u*u*u)\/u)\/u)*u*u)\/u)**(-1\/24)*u**(1\/7)*u\/((u\/(u*u*(u\/(u\/(u\/u**1)))\/u)*u)\/u*u))**(-49) assuming u is positive.\nAnswer: u**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12607 (b) 4 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*i - 4, -2*i - 7*t = -2*t + 10. Let w be ((-6)\/12)\/((-1)\/(-8)). Sort -2, 5, i, w.\nAnswer: w, -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 2*o - 3. Let d be v(2). Let g = 8 - d. Let u = 0.1 + -0.3. Which is the closest to 1\/4? (a) g (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2516 - t + 5*t - 6*t.\nAnswer: -2*t + 2516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15\/2, 8, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 301822615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from saeeasqeswhhhse.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.85 (b) -0.3 (c) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5477751 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5772782 and 3110.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001111 (base 2) to base 16.\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 8. Let h be f(4). Let j = h - -6. What is the common denominator of 25\/16 and -134*(-3)\/(-96) - j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7161 + -7151. What is the greatest common divisor of 45 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b568 (base 13) to base 6.\nAnswer: -2553034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let b(n) be the third derivative of -11*n**4\/24 - 58*n**2. Calculate j(b(z)).\nAnswer: -121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*r = 1226*r - 453*r - 445*r - 4429 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.4. Let u = -748 - -1391. Let g = 617 - u. Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -35, 4 in decreasing order.\nAnswer: 37, 4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 280505 at least -0.1036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699705957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*o - 7*o + 8*o)*(-2*o + 0*o + o)*(o - o - o) + 32*o**3 + 472*o - 472*o as u*o + x*o**3 + j*o**2 + p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045*o + 2104*o - 4*g - 16 = 1057*o, -5*o + 16 = 2*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -30403*k**2 + 439*k**3 - 4988*k + 48*k**2 + 32468*k - 6300 + 406*k**3 = 0?\nAnswer: 6\/13, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 5*q**3\/3 - 2*q - 3. Let k be s(2). Let m = k - 13. What is the remainder when 8 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:53 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*s + 2)*(3*s**3 - 38*s**3 - 33*s**3)*(1 - 3 + 1) to the form k + z*s**4 + u*s + c*s**3 + d*s**2 and give z.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 - 153*x\/4 + 7803\/8.\nAnswer: 3*(x - 51)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by 46.\nAnswer: -107\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201.219 - -201. Let r = z - -0.34. What is r rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3365211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100202012 (base 3) to base 8.\nAnswer: -64245","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -44 (b) -2 (c) 1\/5 (d) -208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68293797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 13*s + 48. Let l(r) = -r - 1. Let h(q) = -2*q**2 - 12*q - 14. Give s*l(d) - h(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a + 85*a - 24*a + 180 - 26*a - 7*a.\nAnswer: a + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36217728 by 12072576.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -68*g**2. Let d(y) be the second derivative of y**3 + 644*y. Calculate u(d(i)).\nAnswer: -2448*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1745*l**5 - 538*l**2 - 714*l**5 - 144*l**2 wrt l.\nAnswer: 61860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ac2 (base 16) in base 9?\nAnswer: -10351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2\/17, -483?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(920\/(-12))\/(-23).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1205 (base 13) to base 3\nAnswer: 10111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + 2 + 1 - (sqrt(152)\/sqrt(4))\/sqrt(2)) - (-6*sqrt(475) + sqrt(931)*1).\nAnswer: 18 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 2*f**3 - 4 - 3*f**3 to the form l + k*f**3 + u*f**2 + y*f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -234*d**2 - 229*d**2 + 676*d + 43*d**2 - 677*d to the form f*d**2 + x*d + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**0)*l*l)**(-23)*((l*(l*l**(-16\/9)\/l)\/l*l)\/l)\/(l*(l*l*l**(-8\/9)\/l)\/l) assuming l is positive.\nAnswer: l**(-638\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, x: 2, w: 1, n: 2}. Give prob of sequence wnx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 14*i - 72 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + f - 6 = -3, -5*f - 11 = -3*l. Solve 7 = g - 2*z, -4*g + 0*g + l*z + 22 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 + 777*b - 1152.\nAnswer: -3*(b - 128)*(2*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(6\/11)*u*u*((u**(-1\/3)*u)\/u)\/u*u*(u*u\/((u\/u**6)\/u*u*u))\/((u**8\/u)\/u)*(u**0)**(-4\/45)\/(u\/(u*u**1*u)*u*u**5) assuming u is positive.\nAnswer: u**(-26\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmumummmumumum. Give prob of sequence mm.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/15*z**3 - 11\/2*z**2 - 135 + 0*z. Factor l(t).\nAnswer: -t*(t + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 2:54 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + -27. Let z = b - -35.33. Let l = z - -1.89. What is l rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39967 + -39954. Let w(o) = 4*o + 7. What is the remainder when w(11) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*c - 320, 0 = 3*l - c + 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (2 - (-18334)\/(-6114)). Let t = x - -141625\/12228. Calculate the common denominator of t and -89\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 518, -6, 114, 4 in increasing order.\nAnswer: -6, 4, 114, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1674?\nAnswer: -2\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16760344?\nAnswer: 2, 101, 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(1 + -13)\/(6\/(-3)). Suppose -2*u = -b, -5*c - u - 4*u + 1050 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8119.6 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 1786*j**2\/9 + 3580*j\/9.\nAnswer: -2*j*(j - 2)*(j + 895)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/38*-39*2\/(-2*6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/41 and -59\/2270744.\nAnswer: 2270744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835814 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 4\/123 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/23)*i\/(i*i\/(i*((i\/i**23)\/i)\/i)*i*i)*i\/((i\/i**(-1\/21))\/i)*i*i\/i**(1\/5) assuming i is positive.\nAnswer: i**(-55933\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 3*r**4\/8 + 9*r**3\/2 + 50*r**2. Let x be y(-3). Put x, 5, 1 in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -2 (c) -15 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1042 = -4*a + 190, -a = c - 310. Let h(o) = -o**2 + 3*o + 34. Let d be h(0). Calculate the highest common divisor of d and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/66*(-2320)\/(-15). Find p such that 44*p**4 - 350\/3*p**3 + 140*p**2 - j*p + 16 - 6*p**5 = 0.\nAnswer: 2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1991455347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 12*y - 1. Let d(s) = 4*s**2 + 11*s - 2. Let x(a) = -6*d(a) + 5*u(a). Determine x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:10 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d + d - 4*d**2)*(-2 - 60*d + 2).\nAnswer: 240*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + -2 + (-42)\/22\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 373 + -381. Sort 4, -4, w, 1.\nAnswer: w, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*w + 17, 2*c = -2*w - 7 - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -22. Suppose 5*k - k - 60 = h. Calculate the greatest common factor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 2035\/(-66) - (-2)\/(-12). What is the least common multiple of c\/100 - (-578)\/8 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -1 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111\/220 - 21\/20. Let z be (3 + 7527\/108)\/8. Let j = z - 49\/32. Calculate the common denominator of y and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 v, and 1 k when four letters picked without replacement from {g: 1, v: 2, f: 3, b: 3, k: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/596 and -55\/16.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -0.1 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73341548*j + 3 + 73341553*j - 3.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 8*w = -64. Solve -2*f + w = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.07646 years?\nAnswer: 0.0707646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 - 23360279?\nAnswer: -23360546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -36 (c) -5\/54 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 6. Let z = v - 2. What is the nearest to -1\/3 in 1, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301625.\nAnswer: 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 4*c**3 - 3*c**3 + (c**2 - 2 + 2)*(4*c + 0*c - c) - 4*c**3 - c**3 + 7*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240*a**2 + 2480*a**2 - 1237*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*g + 554*g - 24996 = 0. Is 8331 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - s = 3, -5*j + 4*s + 0 + 12 = 0. Let q = 4 + j. Suppose 5*n - 12 = -n. Solve -q*l + 5*b + 31 = 0, 0 = -n*l + 4*l - 4*b - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56779730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + -9 + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 26 (c) -5 (d) -4\/3 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2415*z - 5550 = -2425*z. Calculate the greatest common factor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 363 - 725 + 446 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -829.793\nAnswer: 248.9379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.85 - -0.9. Let j = r - 0.35. Is 1\/4 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 + 1059*y**2 - 166 - 263*y**2 - 272*y**2 - 261*y**2 - 268*y**2.\nAnswer: -5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:36 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15825276 a multiple of 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -247 and 0.426.\nAnswer: -246.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (26 - (-12 - -35))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4330493 + 4331275 = 17*a for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20515.3 - 20515. Which is the third smallest value? (a) 2\/285 (b) n (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/4 + c**3 - c**2\/2 - 2*c - 1. Let f(x) = 2*x + 3. Let j be f(-3). What is the units digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*p - 128, 21*w + 161 = 26*w - 3*p. Solve -4*a - w = 4*v - a, -3*v = 2*a + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*b - 142*b + 4131 - 1179 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2208)\/1840*12\/(-27)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2122*k + 4620 = -1792*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f*f*f*f**5*(f*f**(-2\/5))**(-37)*(f\/(f\/(f\/f**(-1\/5)*f)))\/f*f*f**0\/f*(f**0)**(-21) assuming f is positive.\nAnswer: f**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01092 - -0.08908. Which is the third smallest value? (a) y (b) -5 (c) 0.3 (d) 2\/5 (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 329, 735, 1521, 2813, 4737, 7419, 10985?\nAnswer: 15561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13096541 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + (-62)\/(9 - 11). Solve -3*x - 4*k = -26, 5*k = -x + r + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -7*l**5\/4 + 13*l**4\/4 - 22*l. What is the third derivative of b(x) wrt x?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let y be t(2). Let i = 0.11 + -0.24. Let d = 0.87 - i. Which is the third biggest value? (a) y (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10. Let q = -1 + h. Is 0.8 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u + 36. Let l be (122\/(-4))\/((-4)\/(-8)). Let y = -64 - l. Does 6 divide j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 0 - 32\/9*l - 2\/9*l**3 - 16\/9*l**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 12*u = -1008. Let y be 1056\/u + (-4)\/42. Solve 5*a = y*h + 6, -a - 2*h + 10 = 2*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2. Let r(s) = 2*s**2 + s - 1 - s**2 + 0. Let f(y) = 2*y - 2. Let b(a) = -f(a) + 2*r(a). What is j(b(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 471*v - 4. Let b(g) = 914*g + 4. Determine b(h(o)).\nAnswer: -914*o**2 - 430494*o - 3652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*l = -948, 27*s - 25*s - 3*l - 962 = 0. Is 57 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**2 - 1605*z - 7627 wrt z.\nAnswer: -2*z - 1605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-8 - -9) + -11 + (-23 - 1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + 165 - (12 + 2) - -149 - 11 - 15.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*d + 5, 3*m + 4*d + 0 = -14. What is the third derivative of 4*u**2 + 5*u - 5*u + m*u**2 - 5*u**6 wrt u?\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -15*g + 10*g. Suppose 0 = -8*z - 2*z - g. Let r(m) = 2*m**2 + 9*m + 5. What is the remainder when 90 is divided by r(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18408*v + 429. Let h(x) = 86*x - 2. Let g(l) = -429*h(l) - 2*q(l). Let b(z) = -20*z. Calculate g(b(n)).\nAnswer: 1560*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/2*1614\/(-12))\/((-23)\/23) is divided by 125?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.008 plus 12014810883?\nAnswer: 12014810919.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3037344803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5227 + 5237. What is the remainder when (3\/(-2))\/((-15)\/380) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1 + sqrt(19) + 2 - sqrt(133)\/sqrt(28).\nAnswer: -sqrt(19)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 44\/29 (b) 4 (c) -1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8839570 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2320 = 5*v, 21*v = 24*v + 4*k - 1397. Calculate the highest common factor of v and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 a when four letters picked without replacement from {a: 2, o: 4, f: 8}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 0, -368*j - 3*f - 227 = -370*j. Calculate the remainder when 736 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*d - 11*d + 6724 = 2*l + 6467, 0 = -2*l - 3*d - 25 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 - -98?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -11*q + 49 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1\/1971 (c) 6 (d) 497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c = -4*r + 22, c + 2 = r. Suppose 16*v = 14*v + r. Let d(g) = 2*g**2. Let k(b) = 2*b**2 - b + 1. Determine v*k(m) - 3*d(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 16*m + 12*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2))\/((n**(1\/10)\/n)\/n))**(-17\/2) assuming n is positive.\nAnswer: n**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -757845 divided by 165?\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00229101684 rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1495 and 40066?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191775557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(7\/2)*j)\/j**(-3))\/(j**0)**(-2\/71))**(-36) assuming j is positive.\nAnswer: j**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -468, -826, -1148, -1416, -1612, -1718, -1716, -1588?\n\"Answer: 3*i**3 - 379*i - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**3 - 2*f**2 - 2*f + 2. Suppose 5*d - 768 = d. Let b = d - 203. Let q(n) = -36*n**3 - 11*n**2 - 11*n + 11. What is b*z(t) + 2*q(t)?\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/((h\/((h\/(h*h**0*h))\/h)*h)\/h))\/(h*(h*h\/((((h*h**(1\/2))\/h)\/h)\/h))\/h*h*h*h)**36)\/((h**(-3))**(1\/11))**(-23\/2) assuming h is positive.\nAnswer: h**(-5415\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -6 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 72, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-464)\/(-208)*(-3)\/((-648)\/(-468))?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 220 = 136 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 156?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 192 and -38859327244.\nAnswer: -38859327052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -459*t - 67 + 2962 + 1350 - 775 - 3*t**2 wrt t.\nAnswer: -6*t - 459","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/88796 and 57\/88796.\nAnswer: 88796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/90 - (-6 - (-308)\/55).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.012, -4, 3, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15*t - 11*t = -23, 4*t = -8. Is 711 + y + 0 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-6))\/(6\/45). Let d = 33 - g. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -513, -498, -467, -414, -333?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*h**2\/5 - 212*h\/5 - 48\/5.\nAnswer: 2*(h - 12)*(9*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 14) to base 5.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 725 + -378. Let n = w + -241. Is n\/((-2)\/(-2) - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 43*b**2 + 86*b - 146. Give f(-45).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 144056?\nAnswer: 720280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 11*q + 18. What is the remainder when 18 is divided by p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.39 + 0.61. Let q = v - 32. Let r = -2.27 + 0.27. What is the nearest to r in -5, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*q - 3272*q - 3520*q.\nAnswer: -7956*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 50782888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.99521 times -128\nAnswer: 127.38688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 157*z**6\/30 + 2*z**3 - 3*z**2 + 234*z. Find the second derivative of j(v) wrt v.\nAnswer: 1884*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2332375, -2332311, -2332137, -2331799, -2331243, -2330415?\n\"Answer: 9*w**3 + w**2 - 2*w - 2332383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (15 - (-7 + 14 + -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + (-260)\/8)*-4. Let o = k - 120. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/7 - 3\/7. Let u = -10.94 - -11. Let y = u + 1.94. Which is the third smallest value? (a) i (b) 1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213467\/8 + 26683. What is the common denominator of 43\/8292 and q?\nAnswer: 16584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1756*c**2 + 7*c - 7 + 1758*c**2 - 7*c.\nAnswer: 2*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11\/4, 1.4, 4497, 6?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59393030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is (51\/1)\/(((-140)\/40)\/((-182)\/156))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(91\/182)\/(1 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.054 - -0.766. Let d = z + -60.82. Let o = d - -59.3. Are o and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/9 + 3*n**4 - 4513*n**3\/9 - 2821*n**2\/3 + 364364*n = 0. What is n?\nAnswer: -77, -28, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = m + 9. What is the second derivative of n + n**3 + n + 4*n**3 - n**m wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 159 = -3*p. Let b(u) = u**2 + 6*u + 4. Let j be b(-6). Suppose -2*k = j*d - 38, -2 + 4 = d + 2*k. What is the highest common divisor of p and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*f + 9 = 0, -f + 7 = -0*w - w. Let o be (-14)\/w - (0 - -1)\/(-5). What is the tens digit of -1 - (-4 + (-69)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -10 in ascending order.\nAnswer: -10, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(1 - 6 - 11)*(1 - 1 - 3*y**2 - 2*y**2 + 7*y**2 - 3*y**2 + (y - 5*y + 3*y)*(4 - 2*y - 4) + 3 - 3 - 2*y**2).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a4a76 + -5?\nAnswer: -1a4a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 6*v + 2*v)*(-2 + v + 2) + 0*v**2 + 2*v**2 - v**2 - v**2 + 0*v + 0*v - 93*v**2 + 33 - 33 as j*v**2 + x*v + f and give j.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -10. Let f = 32 + -63\/2. What is the smallest value in f, o, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(5\/4) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14544 - -2428850\/167. Which is the closest to 1? (a) 1 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7235223 is divided by 54400.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 4. Let l be z(0). Suppose -l*d - 260 = d. Let a = 101 + d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z - 1188 = 182*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26 - (-22 + (-18751)\/(-391)). Let k(f) be the second derivative of 1\/138*f**4 + j*f**3 - 16*f + 0 + 2\/23*f**2. Find p, given that k(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 0.3, -10, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 66895, -0.4, 42, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239294 is divided by 53853?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.46969944522 - 6.4697. Round x to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5536506 (base 7) to base 5.\nAnswer: -133304132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 7*h = -2*d - 8, -3*h - 4 = d. Let f(u) be the third derivative of u**5\/20 + u**2. Let n be f(-2). Solve 4*v + h = -n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33, -0.5, -0.8, -5, 11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3568 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f)*((-7 + 5 - 5)*(-5*f - 3*f + 4*f) - 1 - f + 1).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 33*q + 396. Which is smaller: q or 34?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.8065503 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h**2 + 3468*h - 735. Give j(-347).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247797 by 6.\nAnswer: -82599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 10*y + 3. Calculate d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Find the second derivative of -10*r**4 + r**i + 7*r + 2*r**4 + 4*r**4 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64534571\/1230 - 52467. Let c = z - -1\/410. Let i = -5.4 + 5. Put c, i, 5 in ascending order.\nAnswer: i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -26*l - 2. Suppose 40 = 4*d - 88. Let y = d + -34. What is the remainder when a(y) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3 (c) -10.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*(-3)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*y**5 + 53*y**5 - 11*y**5 + 0*y**3 + 0*y**3 - y**5 + (2*y - 2*y + 2*y)*(-2*y**4 + y - y) - 2*y**5 - 2*y**5 + 6*y**5.\nAnswer: 98*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -52*z**2 + 8*z + 2. Suppose -4*b = 7 - 23, 4*b = -4*d - 8. Let m(k) = -k - 9. Let u be m(d). Let v be i(u). Round v to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8477922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28597 (base 11) in base 2?\nAnswer: -1001111011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 300.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 435, 842, 1249?\n\"Answer: 407*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d. Let w be u(-1). Suppose 4*r - 20 = -4*o, 2*o - 4*o + w = 3*r. Solve -r*i - 3 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*n + 35, 3*n - 14 = 6*r - 2*r. Suppose -n*t + 18 = -4*t. Suppose -m - t = -23. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95943 or 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 + x + 1. Let l(n) = n**3 + 9*n**2 + n + 4. Let z be l(-9). What is s(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - n + 12, -21*d - 6 = -23*d - 4*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 840*r + 845.\nAnswer: -5*(r - 169)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/24 - 41*m**2 + 1. Let s(g) = 32*g. What is s(t(i))?\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 0.100568313002.\nAnswer: 14.100568313002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.7, 2\/3, -7\/11 in decreasing order.\nAnswer: 2\/3, -7\/11, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7020000 to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 8}. Give prob of sequence oo.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 times 0.5?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let i(s) = -2*s**2 + 4*s**p - 3*s**2 - 3*s**2. Let v(l) = 5*l. Let z(f) = 4*f. Let w(y) = -5*v(y) + 6*z(y). Give i(w(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.00001156 + -30. What is v rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*h - 38582, 13*m - 11*m = 4*h + 77148. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -271. Are x and 446\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 14277?\nAnswer: -10\/14277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q + j, -4*q + j = -0*j - 1. What is the common denominator of 10\/3 and q - (0 - (-152)\/(-54))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 15*c - 27. Let m be z(17). Solve 5*d + m = -8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56968200 to the nearest integer?\nAnswer: 7548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 22 = -4*o, 12 = 3*o + 3*z - 12. Let m be (-14)\/o*4\/7. Suppose 1517 = -6*k + 1505. Is m != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 45658\/4070 - ((-12)\/22)\/(-3).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 11*a - 17*a**2 + 45 - 11*a + 11*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*v**2)*(-v - 3*v + v - 6*v + 3*v + v + (2 - 11 + 8)*(-2*v + 0*v + v) + (v - 4*v + v)*(7 - 3 + 0)) to f*v**3 + n*v**2 + j + d*v and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 720173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47321, 48996, 50693, 52418, 54177, 55976?\nAnswer: 57821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihihh. Give prob of sequence hh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2064*q. Let y(m) = -m**2. Give i(y(t)).\nAnswer: -2064*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a - 1. Let u be f(1). Let c = 12 - u. Let t = c + 26. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5206421686.\nAnswer: 2, 19, 137, 1000081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 24*a - 3 - 143*a - 11*a**3 + 76*a as n + d*a + q*a**2 + u*a**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 428 + 131)*(-1 + 2*n + 1)*(1 - 1 - 4)*(0*n - 4*n + 3*n).\nAnswer: 3464*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -470 + 469. Suppose 5*f + 20 - 5 = -2*l, -3 = l - 2*f. What is the nearest to y in -5\/6, 0.2, l?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37090496 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 420 and -3.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:13 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 0.5 (c) -3392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/3 + n**2\/2 - n. Let s(z) = z. Suppose 3*r + 9 = 4*w, 0 = -4*r + 59*w - 58*w + 1. What is r*o(y) - 6*s(y)?\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*45\/(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:09 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11010001000110110110111?\nAnswer: -11010001000110110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17612*q**5 + 4*q**2 - 1110?\nAnswer: 1056720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.39 + -0.01. Let r = -1654\/9 + 184. Which is the nearest to 1\/4? (a) 2\/11 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = b - 14, 4*b - 8*y = -10*y - 10. Sort 18, -3, b in decreasing order.\nAnswer: 18, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 189*t**3 - 25*t - 4.\nAnswer: -20*t**3 + 1134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289072595.\nAnswer: 5, 7, 61, 71, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481 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: Calculate the smallest common multiple of 144 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 7*c + 1. Let t be z(-5). Let n(q) = -q**2 + 15*q + 48. What is the units digit of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 5, -207, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 92896?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) 10794\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21145 + -21152. What is the fifth smallest value in 1\/14, v, 3, 0, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001965306361 to 7 decimal places.\nAnswer: 0.0001965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 45*n - 449. What is c(-29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380086*j**2 + 808049*j**2 - 220997*j**2.\nAnswer: 967138*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*7 - (-19 + (-399)\/(-21) + 10)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -1.994, 4\/5?\nAnswer: -1.994","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 2*b + 4. Let k(o) = -3*o**3 + 3*o + 5. Calculate 3*k(i) - 4*q(i).\nAnswer: 3*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3672 (base 10) to base 4\nAnswer: 321120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 15*i - 1630. What is the greatest common divisor of 6 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 55 = 19. Let l = 11 - w. Suppose 2*u = -2 - 0. Is l smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4604 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = -5*w - 5*r, -2*r - 66 - 83 = -w. Let l be 66\/17 - (-18)\/w. Solve -l*n + 2*u - 4*u + 10 = 0, u = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 32*o**2 - 20. What is the tens digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -8. Let q be y - (4 + (-28)\/6). Which is greater: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*m + 21561, 2*m = -4*s + 7806 + 6582. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - 44\/(-8). Suppose -n*w + w = -32. Suppose -2*k + 3*u - 2 = -3*k, -5*k = 5*u - 20. Calculate the remainder when w is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22969, -22950, -22931, -22912, -22893, -22874?\nAnswer: -22855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 766304 and 448.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4522\/63 - (-1 - (-14)\/18). Is 14 a factor of ((0 - n\/(-15)) + -2)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4))\/(d*d*d*d**(1\/5)*d*d))\/((d\/(d\/d**1))\/(d*d**(3\/8)*d*d*d)) assuming d is positive.\nAnswer: d**(-193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 317135127 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/12 and -13\/249214.\nAnswer: 1495284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 13*w + 19. What is b(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/175 - 68\/175. Which is the nearest to i? (a) 5 (b) 0 (c) -44 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -29*u + 117. Let h(f) = -14*f + 59. Let o(d) = -5*h(d) + 3*v(d). What is the units digit of o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -5.5\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 365398?\nAnswer: -730796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3374, 3369, 3360, 3347, 3330, 3309?\n\"Answer: -2*h**2 + h + 3375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2460 + -737. Suppose -2*j - 3*v = -n, v - 14 = -9. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*x - 91. Suppose -x - 38 = -3*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21822949697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10309\/3220 + -1\/644. Is m < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4693*n**2 + 751*n - 751*n - 4692*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010908, 1010919, 1010930, 1010941?\nAnswer: 1010952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i - 540 = 28*i - 72*i. Is i <= 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -6247, 2?\nAnswer: -6247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 12*h**2 - 10*h - 22. List the prime factors of z(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 - 26*b + 13*b + 15*b.\nAnswer: -16*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5.3. Let w = t - -0.252. Let i = w + 0.095. What is i rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*t + 2*t. Let i = t + -3. Suppose 42 = 2*u + i*v, -v + 0*v = 0. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1115\/45 + 2\/9. Suppose 0 = -2*k + 1 + 9. Solve -5 + n = -k*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.40998 milliseconds in hours?\nAnswer: 0.00002178055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 232.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/2, -8\/15433, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31532.\nAnswer: 2, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) -6 (c) -7\/3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3439 * 7\nAnswer: 24073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.39 + 0.26. Let w = g + 1.311. Let q = 17.519 + w. What is q rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 99842.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r = 6. Sort 0, 5, r, 1.\nAnswer: r, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -305690 - 2?\nAnswer: -305692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10605 and 1.989?\nAnswer: 0.21093345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*v = -5 + 2, 3*k - 9 = -v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:51 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19655\/60 + (-3)\/(-4). Let w = 348 - u. Calculate the common denominator of w and -61\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - (-16)\/((-256)\/24). Which is the second smallest value? (a) -0.5 (b) -243 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose 4*q - 46 = x*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4\/5 (b) 98 (c) 0.26 (d) -2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*g + 9 = 19, 3*z = 3*g + 6. Suppose z = 154*h - 159*h. Which is the third smallest value? (a) h (b) -14 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-17\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*n - 12, 2*p = 5*p - 6. Let j(h) be the first derivative of h**3 - 2*h**n + 2*h - 1 - 4. Differentiate j(r) with respect to r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -406, -1, -22, 3 in increasing order.\nAnswer: -406, -22, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-20))\/(4\/10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 83*l + 572. Let x(f) = f**3 - 2*f**2 + 1. What is the remainder when w(6) is divided by x(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 8) to base 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4842 divided by -6?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:18 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/24 - s**3\/6 + 19*s**2. Calculate o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83912730 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 28 = 8. Solve 5*h - 5 + 15 = 3*q, u*q = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(1 - 2 - 1)*(1 + 0 - 10)*(-6 + 6 - 7*l).\nAnswer: -126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1. Suppose -88 + 28 = 5*z. Let u be 18\/z*(-4)\/3. Suppose 2*j + u = -2. Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18 - -12) + 3*-66. Let u = 215 + j. Factor -u*a + 1 + 121\/4*a**2.\nAnswer: (11*a - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 + 12*y - 31. Give w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3440734.\nAnswer: 17203670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s - 3*f - 39, -2*f = -3*s + 39. Suppose 0 = 3*o + 5*k + s, 5*o + 75 = 5*k. Let h be (-28)\/8 - (-6)\/(-4). Sort h, -3, o in ascending order.\nAnswer: o, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*h - 21 = 4*h, h = m - 4. Calculate the remainder when 29 is divided by 10*1\/(m + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.83, -5, -17.8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5490335285 to the nearest 1000000.\nAnswer: -5490000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12572531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-663)\/(-7) - (48\/28 - 2)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 367596325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucn when three letters picked without replacement from {u: 2, w: 1, n: 1, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:46 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1427 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllvvlolzlvloooo. Give prob of picking 1 l, 1 v, and 1 z.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 9:08 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043541 (base 6) in base 14?\nAnswer: -152bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 6. Suppose 5*p - 125 = -4*m, 4*m - m - 99 = -4*p. Suppose p + 19 = -20*w. Put -4, w, t, -5 in increasing order.\nAnswer: -5, -4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**7*y*y*y*y\/y**(6\/5)*y*(y**2)**(-22)*(((y**(1\/3)*y)\/y*y)\/y**(-13))**(-4) assuming y is positive.\nAnswer: y**(-1553\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5622*3.121.\nAnswer: -17546.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-16))\/(2\/96). Suppose -2*o = 2*d - 8, -o = o + 5*d - 20. Let n be 0 - (-90 - o)*1. Calculate the highest common divisor of m and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1881 - 13165\/7. What is the closest to -1\/4 in -2\/11, -1, y, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**2 + 22*w**2 - 20*w**2 + 23*w**2 - 54*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 8 + 9 - 5 = 0, -n - n - n + 40 = -10*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 6. Let q = -2 - a. Suppose -q*s + 112 = 20. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*j = -5, -7457*j + 8 = -4*q - 7456*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 986104.4.\nAnswer: -986100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + n - 4)*(25 + 168 - 28).\nAnswer: 165*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*c**3 - 121*c**2 + 33*c**2 + 5572 + 227*c**3 + 2*c**4 - 8*c**2 wrt c.\nAnswer: 8*c**3 - 60*c**2 - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -22. Suppose -4*q - 32 = 4*c, 2*c + q + 20 = -3*c. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73905 divided by -65.\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let k = n + 1. Let x be (1 - 2 - 2)\/1. Which is the nearest to 1? (a) -5 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 26 - 3*f + 0*f + 6*f to the form d*f + t and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111 (base 2) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4275 and 750?\nAnswer: 42750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4204867 to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5\/2*m**2 - 5 + 0*m. Let u(h) = -h**2 + h - 1. Let i(t) = 14*t**2 - 12*t + 12. Let b(w) = i(w) + 12*u(w). What is c(b(d))?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apqpqpxqpzqppxaxaaqa. What is prob of picking 2 q and 1 z?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 63 = 126 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 33. Let z(r) be the second derivative of 0*r**5 - r + 0 + 0*r**4 - 2\/15*r**6 + 0*r**3 - t*r**2. Differentiate z(v) wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511400 a multiple of 916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10729 - -11091. Solve -a*u = -360*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*t - t**2 - 60*t - 136*t.\nAnswer: -t**2 - 247*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 669 - 307. Suppose s = 2*n - k, -3*n - 879 = -8*n - 4*s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 - 6*o**2 + 22*o**2.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 629618.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202306 and 796172?\nAnswer: 24681332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1277403 (base 8) to base 10\nAnswer: 360195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Let x = y - 1. Let b(d) = -d**3 + 5*d**2 - 4*d + 3. Calculate the remainder when b(x) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 4*r**4 + 3*r**4 + (-107*r**2 + r**3 + 107*r**2)*(-2*r + r + 2*r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56580997 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 46, -1 in increasing order.\nAnswer: -5, -1, -0.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 1\/4*t**4 + 0*t - 3*t**3 - 1\/120*t**5 + 0 - 34*t**2. Let d(o) be the first derivative of n(o). Give d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1064*k + 10*k**3 + 458*k**2 - 8*k**3 + 1082*k.\nAnswer: 2*k**3 + 458*k**2 + 18*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122944 is divided by 58364.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 67. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.67405 times 4?\nAnswer: 30.6962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17325124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*s - 25, -3*s = -4*t - 8*s - 25. Let u = 11 - 8. Put u, t, 0.5 in ascending order.\nAnswer: t, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(4)\/sqrt(2) + sqrt(2)) - sqrt(2)) + 2 - (sqrt(128) - ((sqrt(128) + sqrt(128) + -1)**2 + sqrt(128))*-1).\nAnswer: -511 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 2*z. Suppose b = -2*b + 6. What is the units digit of (-17)\/z + (-1)\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/5)\/r)*r*r*(r**5*r*r)\/r)\/(r**0*r)**(-3\/17) assuming r is positive.\nAnswer: r**(831\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 428 - 428 - m. Let w(t) = 3*t + 1. Suppose 0*x + 20 = -4*x. What is x*v(h) - w(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/70856544 and 145\/53856.\nAnswer: 212569632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-4)*(-4)\/6. Suppose n*y = 5*y - 40. Calculate the lowest common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a + 11. Let n(u) = -3*u - 6. Let i(k) = 4*l(k) + 9*n(k). What is the remainder when i(11) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*v + 5102 = 19*a + 5086, -18 = 2*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 282927.1 weeks?\nAnswer: 171114310080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(12\/(-18)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -5, 108, 1\/6, 1.41?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-15)\/2))\/((-6)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206 - -605. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -7*n**6\/360 + 25*n**3\/6 - 61*n**2. Let w(v) be the first derivative of o(v). Let c(j) = 12*j**2. Calculate c(w(t)).\nAnswer: 588*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1736 = 929. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3) + 1)**2 + -5.\nAnswer: 6*sqrt(7) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 + 28*n - 3*n**2 + 0*n**4 + 3*n**3 - n**3 - 25*n - 2 to the form y*n**3 + k*n + p*n**2 + s + a*n**4 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxymfyxmxydxxdxxdyy. What is prob of sequence dm?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 1\/330*t**5 + 1\/132*t**6 + 0*t - t**2 - 2\/33*t**4 + 0 - 1\/1848*t**8 + 4\/33*t**3 - 1\/1155*t**7. Suppose m(k) = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 32. What is g(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*t - 11701 + 848, -t - 3 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028456 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12879442*0.065.\nAnswer: -837163.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 0.19, -1\/4, -268?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -18*b**2 + 59*b - 18. Let d be s(8). Let j = d + 809. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 7. Let f be -6*1\/(0 + -3). Let h be f\/(-8) - 1\/(-4). Solve -3*t - 5*g - 6 = -2*g, -4*t - 2*g - v = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 3. Let d = -72849 - -72842.99984. Let z = d - x. Round z to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 19*o + 3. Solve 0*g + o*g**2 + 1\/4*g**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 4. Calculate v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9967, -19995, -30075, -40213, -50415, -60687?\n\"Answer: -h**3 - 20*h**2 - 9961*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - m - 3*m - 5 = 0, 4*o - 5 = -3*m. Suppose u + 8 = 5*u. Find the second derivative of o*x**3 - 4*x - 2*x**2 + u*x**2 - x wrt x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20764 is divided by 104.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 3, b: 1}. What is prob of sequence uuub?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 0*o - 5*o + (3 + 1 - 2)*(-o - 1 + 1) - 29800*o - 32367*o + 46931*o as w*o + s and give w.\nAnswer: -15239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (sqrt(448) - sqrt(448)*1)) + sqrt(7) + -3 - (sqrt(7) - (-2 + sqrt(7) + 1)**2 - 5*sqrt(21)\/sqrt(3)).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -16) + 3 + (14 - (12 + 2)) + -11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(11)*-2)*4 + 1 + -1 + sqrt(44)\/sqrt(4) + sqrt(44) + -1)*-1*2.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252403494 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 5*d - 5*d in the form n + l*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5466476 nanograms?\nAnswer: 0.0000000000000005466476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 8*p + 180. Let j be h(10). Solve -5*g + 2 = -3*o - j*o, 3*g + 6 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 359304 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 27, -14, -125, -330, -653, -1118, -1749?\n\"Answer: -4*t**3 + t**2 + 30*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18680 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-2)*25\/(-125)*154\/21?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168680983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 4*c - 2*c. Let q = -1 - -5. Suppose c = q*s + s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/o**(-5\/3)*o**(-13)\/(o**(-2\/49)\/o) assuming o is positive.\nAnswer: o**(-631\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 + 54 = -9*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n**3 + 2*n**2 - 20*n**3 - n**4 + 2 + 2*n**4 as w*n**3 + o + v*n**2 + j*n**4 + c*n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*s = 377*s + 440*s + 423*s - 105210 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18*m - 99. Let n be t(6). Factor 5*b + 10*b**3 + b - 3*b**4 + 9*b**2 - b**3 - n*b**3.\nAnswer: -3*b*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -6, 9, 93, -5, 34 in increasing order.\nAnswer: -6, -5, -4, 3, 9, 34, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 34.14. Let k = -0.04 + f. Sort 1, 4, k in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - c - 124 = 0, -3*u + 22*c = 24*c - 352. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10557293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 x, and 1 e when three letters picked without replacement from {v: 5, x: 4, e: 4, y: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2356*a - 1545*a = -85*a + 194616 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - j**4 - j**4)*(181 + 3*j - 177 - 5*j - 2*j + 3*j - 3*j + (-1 + 1 + 3*j)*(2 + 1 - 1) + 6*j + 6*j - 4*j).\nAnswer: -10*j**5 - 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0, -178, -136 in decreasing order.\nAnswer: 3, 2, 0, -136, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.4 (c) 1394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1 + -1 + 31 + -20.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w**2. Let s(r) = 11*r**2. Let h(x) = 4*p(x) - 9*s(x). Let a be (-8)\/(-20) + 54\/15. Let k(d) = 2*d - a + 4 - 3*d. Calculate h(k(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1662 divided by -6\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 632462 divided by -20402\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 310 = -w. Let x = w + -184. Let m be (4\/6)\/(6\/9). Sort m, 5, x.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72891 and 41652?\nAnswer: 291564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*(-1110)\/20. Solve 3*t + 26 = 7*t + 2*b, -3*t - 5*b + z = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12799209*q**2 + 6059414*q?\nAnswer: 25598418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 20*u**2 + 32*u - 51. Let v(m) = 7*m**2 + 11*m - 18. Determine -6*r(o) + 17*v(o).\nAnswer: -o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83641123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1085, -2\/3, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/(j**0*j))*j*j*j)**48\/(j**3)**(-29) assuming j is positive.\nAnswer: j**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 12*o - 214. Suppose 0 = 4*x + x - 80. Suppose o*g - x*g = -40. Solve 8 = -g*a + 3*a - 2*h, 5*a = -h - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044595072 rounded to 4 decimal places?\nAnswer: 0.0446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8860*g + 20. Let v(x) = 3*x + 23. Let j be v(-10). Let w be p(j). What is w rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 275946.04448 to the nearest one thousand.\nAnswer: 276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 + 13*k**4\/2 - 31*k**3\/2 - 153*k**2\/2 + 216*k + 270 = 0. Calculate k.\nAnswer: -3, -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -15*u. Solve u = w + 3, w - 12 = -3*p + 2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -556526 or -556530?\nAnswer: -556526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45766913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/15 + 11*z**5\/5 + 19*z**4\/6 - 14*z**3 - 768*z. Solve o(c) = 0.\nAnswer: -21, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 311 - 305. Solve 3 = -x - t*f, 0*x = -x + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 - b**4\/12 - b**3\/3 + 196*b**2. Let c(p) = -6*p**2 - 11*p - 11. Give -6*c(o) + 33*f(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1330\/43 or 31?\nAnswer: 1330\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + j = 6*j - 612864. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 5 = -17*j + 5*d, 0 = -2*j - 4*d - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -330112133 (base 4) in base 5?\nAnswer: -30402244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -3. Suppose x - 51 = -z. Sort -3, z, 1.\nAnswer: -3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -5. Suppose 157 = -2*o + i + 171, -4*o + 48 = -4*i. Solve o*p - 12 = -j*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/13)\/o)**(-4\/27)\/((o**22\/o*o)\/o**(2\/19)) assuming o is positive.\nAnswer: o**(-144952\/6669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/66 and (-154)\/72*(2 + 4 + -4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 53*u - 181450 = -16*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7285168 and 222?\nAnswer: 808653648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 3\/2 (c) 0.5 (d) 766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12281 is divided by 11770.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 92*p**2 - 89*p + 198. What is the least common multiple of 279 and w(93)?\nAnswer: 53010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.3, 1\/7, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (-22 + -38 + 85)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:47 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 5, m: 2, s: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccf when three letters picked without replacement from {c: 2, f: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490540845.\nAnswer: 3, 5, 683, 47881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - c**2 - 2*c**2 + (-2 + 2 + 1)*(0 - 2*c + 0)*(27 - 27 + 2*c) to w*c + j*c**2 + l and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + 3*(sqrt(504) - (sqrt(504) - -1*sqrt(504) - sqrt(504))))\/sqrt(8))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g - 2. Let a(j) = -189*j + 77. Give 2*a(i) + 77*d(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 11. Let l be w(-12). What is the common denominator of -67\/3 and (-144)\/(-56) + (l - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o + 0*o**2 + o**3 + 1\/5*o**5 + 2 + 0*o**4. Find the third derivative of t(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 19. Let l(q) = -q + 1 + 0 + 0*q - f. Let r be l(-4). Let d(g) = -g**3 - g + 12. What is d(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15240 = -16*c + 82568. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 8*r**2 + r + 5. Let z be h(-4). Let j be 1 - z*12\/(-4). Solve 0 = -j*w + 27 - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)\/t)\/(t*t**(-2)))\/(t\/(t*t**(-1\/3)))**(2\/15) assuming t is positive.\nAnswer: t**(13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 787657*q**3*t**3 + 5*q**3 - 454*q*t**2 - 121*t wrt t?\nAnswer: 4725942*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 6, 9, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -1, 1 in ascending order.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = -23. Suppose -p + 3749 = y*w, 0 = 12*p - 17*p - 2*w + 18797. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w - 4. Let x be m(3). Suppose -z - 4 = -x*z - 3*g, 0 = z + g - 2. Is z\/(4\/5944*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 186 and 8.16.\nAnswer: 194.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 15*g**2 + 200*g.\nAnswer: -5*g*(g - 8)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17673 + 60039.98?\nAnswer: 42366.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -509*q**5\/20 - 73*q**4\/4 + 2*q**2 - 9*q + 6. What is the second derivative of s(b) wrt b?\nAnswer: -3054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 3*i - 2. Let m = -2 - -4. Let j(t) = 10*t**2 + 16*t - 11. Let q(y) = m*j(y) - 11*f(y). Find the second derivative of q(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 8806226?\nAnswer: -8806226.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -148*h + 3 - 128*h + 0 + 325*h as i*h + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1174 - 863. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 207526, 414969, 622408, 829843, 1037274, 1244701, 1452124?\n\"Answer: -2*v**2 + 207449*v + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h - 91. Let d(k) = -585*k - 2. Let g be d(-1). Calculate the remainder when j(-11) is divided by g\/44 + (-3)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**2 + 8. Let a(u) = -u**2 + 13. What is g(a(b))?\nAnswer: 2*b**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 j, and 1 q when four letters picked without replacement from qfjqgff?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 2, y: 1}. What is prob of picking 2 y and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170910 by 27.\nAnswer: -6330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlba when four letters picked without replacement from {l: 1, a: 1, b: 2, o: 3, y: 4, t: 1}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c)**(10\/3) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v + 1. Let s be o(1). Let u(b) = 75*b + 10. Let k be u(s). Round k to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Suppose -33*m - d = -34*m. Let k be (-2)\/m - 11\/(-3). Solve 0*b = -k*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4039 + 4043. Let z(i) = -i**3 - 3*i**2 + 6*i**2 - 1 - i + 2. Determine z(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 - 18\/(-12))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 933 and 388227831?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/(-30)*(-484)\/(-6). Suppose -2*l + 3*f + 240 = 0, -3*l - a = -4*l + f. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a + 10*a - 177*a**2)*(0*a**2 + 0*a**2 + a**2) to b*a**2 + p + z*a**4 + v*a + c*a**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**12*u)\/u**(-11))\/(u**(-3)\/u**(1\/6)) assuming u is positive.\nAnswer: u**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16602, 60566, 133832, 236394, 368246, 529382, 719796?\n\"Answer: -v**3 + 14657*v**2 + 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -17. Let w = 5 - s. Which is the second smallest value? (a) -4\/11 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 21 = 31, 5*j = -5*m + 35. Let g be (-11)\/(33\/(-18)) + -3. Let h = 24 + -17. Solve 0 = m*f - h + g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 10*f**2 + 4*f + 14. Give c(-6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + v - 6 = -0*l, -2*v = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*m**3*y - 612*h**3*m**2 - 2*h**2*m**3 - 1478*h*m**3 - 9*h*m**2*y + 2*m**2 wrt m?\nAnswer: -12*h**3*y - 12*h**2 - 8868*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6 - (-2 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y + 18. Let w be (-1)\/(-5)*y\/(-2). Let k = -1 + 1. What is the closest to -1 in -0.2, w, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113801 < -113787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -v + 3*w, -v - w + 97 = -3*w. Suppose 2*t - u - 128 = v, -5*t + 2*u + 565 = 0. Calculate the highest common divisor of 23 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2863132763 to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 11. Let a(w) = 2*w - 7. Let o(d) = d - 3. Let z(b) = -2*a(b) + 5*o(b). Calculate z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/7 - 30272*u**2\/7 - 21614*u + 181572\/7 = 0.\nAnswer: -15131, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66828, 66733, 66640, 66549, 66460?\nAnswer: 66373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1577052 and -0.5.\nAnswer: -788526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -61, -88, -111, -130, -145?\n\"Answer: 2*u**2 - 37*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1170*d**2 + 53*d**4 - d**3 + 21*d**4 + 92*d**4 + 23*d**4 wrt d?\nAnswer: 4536*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4360 a factor of 30658013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**4 - 2*n**3 - 44*n - 4704?\nAnswer: -12*n**3 - 6*n**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7718*h. Let f(w) = -w**2. Determine p(f(c)).\nAnswer: 7718*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1279, 5115, 11515, 20485, 32031, 46159, 62875?\n\"Answer: t**3 + 1276*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (15 - 22 - (3 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 3*j + 2 + 0*j + 1. Suppose -z - 2*s = 2, 3580*z = 3583*z + 5*s + 4. Calculate w(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.9425 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -6 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1804 + -1842. Which is the third smallest value? (a) 0.4 (b) v (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.007 + -233.993. Let l = x + 330. Let y = l - 93. Which is the second biggest value? (a) y (b) 0.1 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416 by -26.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o*o)\/(o*o**20*o*o) assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -85*s. Let t(x) = -7*x. Let a(o) = 2*m(o) - 25*t(o). Let g(i) = -i**2. What is g(a(k))?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 9) in base 4?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4 - 1089\/(-84))*(-61)\/((-5063)\/581).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(459))\/((sqrt(135)*2 + sqrt(135))\/sqrt(5)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 601008204 a multiple of 1903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1\/4, -7, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/4 - (5 - 2). Let y = -32 - t. Let z = -11 - y. Let k(j) = 2*j. What is k(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 2*d**2 - 475. Let s(y) = -2*y**3 - 2*y**2 - 475. What is 4*s(t) - 5*x(t)?\nAnswer: -3*t**3 + 2*t**2 + 475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251 and 5773?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 20. What is c(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 1. Let o(h) = -9*h + 6. Let s(i) = o(i) + 2*z(i). Differentiate s(f) wrt f.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628125, -628124, -628123?\nAnswer: -628122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/1485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/(i*i*i\/(i\/(i*i*i\/(i\/(i**(-6\/7)*i)*i)))*i)*i**(1\/5)*i*i*(i*i**(2\/5)*i)\/i*i)\/(i**2*i**(-4)*i)**(5\/2) assuming i is positive.\nAnswer: i**(379\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 1964 + 1960 = -5*x, 0 = 5*p + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d + 5. Let u be s(-3). Suppose u*m = -4*y + 402, m - 72 = 3*y - y. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 96 = 3*v, -5*v + 75 = 240*z - 235*z for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305023634?\nAnswer: 2, 3, 23, 1061, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 21*s + 82. Let a be w(-4). Let g(n) = -209 - 14*n**2 - a*n**2 + 209. Let l(c) = c. Calculate l(g(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4552)\/134 + 1275*228\/8550.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, c: 1, u: 2, g: 1, z: 2}. Give prob of picking 1 g and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from {u: 1, m: 3, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*12\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573557693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17380 is divided by 2166?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30169783?\nAnswer: 7, 109, 39541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10507)\/665 - (-27)\/15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 143*x**3 - 5*x**2 + 45. Let z(u) = -u**2. Let w = 864 - 863. Let t(n) = w*v(n) - 6*z(n). Differentiate t(f) with respect to f.\nAnswer: 429*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 886 = -751 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118116 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1432 or -916?\nAnswer: -1432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23968 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 47. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/12*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.291274022 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11494 divided by -2523\nAnswer: -11494\/2523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5656*g**3*w + 31*g**2*w - 26*w wrt g?\nAnswer: 33936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -217796 divided by -7\nAnswer: 217796\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w**4 - 4*w**3 - 3*w**2 + 25*w. Let c(x) = 24*x**4 - 7*x**3 - 5*x**2 + 51*x. Let b(a) = 3*c(a) - 5*d(a). Find the second derivative of b(g) wrt g.\nAnswer: 144*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -569.8 - -570. Let y = -0.5 - -0.8. What is the nearest to 5 in b, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + w + 538 = -3*w, n - 104 = 2*w. Suppose m - 124 = -n. Let q be (-1 - -5) + 1 + -3. Solve -q*l = 5*x - 19 + 2, 2*l = -4*x + m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*d = -159*d + 98 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(0*n**3 + 0*n**3 - n**4) + 1283*n**4 - 1279*n**4 + 0*n - 2*n + 304*n**3 in the form f*n**4 + g*n**2 + u*n + y + c*n**3 and give c.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -26, -3, -0.4, -2, -444?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161.2 - -161.5. Let d be 2\/(-4)*2 - -1. Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + 1.3. Put s, 3\/4, 2\/5 in descending order.\nAnswer: 3\/4, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/((-9464)\/(-156))*210\/3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*((s + 2*s - 4*s)*(2*s**3 + 3*s - 3*s) + s**4 + 0*s + 0*s - s**4 + s - s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 87, 122, 157, 192, 227?\n\"Answer: 35*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 - 289. Calculate the remainder when 186 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 + 6*u**2 - 39*u + 25. Let h(n) = -5*n**3 - 8*n**2 + 38*n - 24. Let m(b) = 4*a(b) + 5*h(b). Let k be m(-18). Solve 5 = -15*i + k*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -6616.\nAnswer: 6616.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 4408.\nAnswer: 61712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-1360)\/(-192))\/(-85)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715714 (base 8) in base 13?\nAnswer: 83849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-240)*4*(-8)\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -61*t + 64*t + 16, -9*h - 11 = 4*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 52 = 5*h, 4*b + 2*h - 11 = 15. Suppose -5*g = -16 - b. Suppose -g*s = -7*s + 4006. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389 - 828 - 3*d + 66.\nAnswer: -3*d - 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.3 times -2?\nAnswer: 78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssczszosoox. What is prob of sequence szc?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i + 13. Let y be z(3). Suppose 5*x - 9 = y. Suppose 9*l = x*l + 1393. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v + 96. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -471402, -1885563, -4242490, -7542177, -11784618, -16969807, -23097738, -30168405?\n\"Answer: i**3 - 471389*i**2 - i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 - -64.1. Let w = -71 + z. Let u be ((-1)\/(-1))\/((-2)\/6). What is the smallest value in u, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 0 - (4 + -6). Let x be (-4)\/k*(-2 - 3). Let w = -2 + 5. Solve 0 = -4*j + f - 12, 4*j - w*j - 2*f - x = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425956, 425958, 425960, 425962, 425964?\nAnswer: 425966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8553 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 4*q + 114. List the prime factors of 1 - q - (-29 - -27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**2\/2 + 13. Let l be h(2). Does 6 divide (-4)\/8 - (-131)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 55842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -270, -10, 1 in descending order.\nAnswer: 4, 1, -7, -10, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3\/3 - r**2 - r + 5. Let t be l(-3). Let d = 0.2 - 0.4. Which is the closest to -0.1? (a) t (b) -3\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -17?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14937059 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 22, 49, 76, 103?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 7 - 5. Let a be (15\/(-6) - -2)*f. Factor -y**3 - y**3 + 2*y**a + 0*y + 2*y - 2.\nAnswer: -2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 26. Let r = 8 + -5. Let j = r - -17. Calculate the greatest common divisor of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3239, 3960, 4681?\n\"Answer: 721*z + 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/4074 and 49\/485.\nAnswer: 20370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 24760?\nAnswer: -9\/24760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 145*u - 19 = -140*u, -t = -2*u - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5872 and 13\/35232?\nAnswer: 35232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 15*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {t: 3, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*c = -0*h, -23*c - 6 = -21*c for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 996*v**2 + 11443?\nAnswer: 1992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtaaqaaqaaq. Give prob of sequence aqqa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5761005.\nAnswer: 3, 5, 384067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -119640541.\nAnswer: -119640530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 15 = 44*k + n, -5*k = -4*n + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x - 3700 - 440 = 138*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 - 5175*t - 48. Calculate o(69).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 5*n + 47 = 0, -y - 6442 = y - 4*n - 6418 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 5. Let r = 22 + -16. Let i be y(r). What is the least common multiple of 5 and (i + -9)*4\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 765680*d**2 + 1759906*d.\nAnswer: 1531360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.04 - 1.14. Which is smaller: q or 75?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6189*b - 24737*b + 6179*b + 6181*b + 6188*b + 18*b**2 + 8*b**2.\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -59?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -518 - -1315. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-24))\/((f**(-14)*f)\/f*f)*(f\/(((f*(f**(-2\/13)\/f)\/f*f)\/f)\/f))\/(f\/(f\/(f\/f**10*f))) assuming f is positive.\nAnswer: f**(639\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25\/20)\/(1\/4). Let v = d + -5. Suppose -n + 3 = 2*t, -3*n + 2 = t + 13. Put t, 3, v in decreasing order.\nAnswer: t, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 10980*p - 3741250.\nAnswer: -2*(p - 5125)*(p - 365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57774 by 5.\nAnswer: 57774\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r**3 - 4*r**2 + 42*r**4 + 49*r**4 - 90*r**4 in the form l + m*r + d*r**4 + a*r**3 + v*r**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 523133257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8544269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -23ad?\nAnswer: 23b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= 10278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/(r**(-5)\/r))**(-1\/15)\/(r**2*r*r*r**(-4\/5))**(-3\/32) assuming r is positive.\nAnswer: r**(-11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 - w**3 - w**2\/2 + 4*w + 6. Calculate the remainder when b(-3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -63, -17, 21, 51, 73?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49625976 and -1502.\nAnswer: 49624474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - ((-13 - -4) + -12 + (3 - -1))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 91361*g - 91946*g + 0 + (-4*g - 3*g + 3*g)*(-5 + 2 + 2).\nAnswer: -581*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1488 = -1470. Let s be 2\/2 - -2*1. Let f(j) = s*j**2 + 7*j + 1 - 10*j**2 + j**3 - 3. Calculate f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1356 and -173\/120?\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 297485.4 centuries?\nAnswer: 2974854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from yyyoyxkykyisosyksk?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 972, 1105?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7519567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 4 - (-73 + 8). Find the first derivative of -42*h + 13 - w*h - 37*h - 57 wrt h.\nAnswer: -143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 949014371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85096.64ug to grams.\nAnswer: 0.08509664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 160.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2017 - 14*w - 101*w**2 + 13*w - 2069)*((-w + 0*w + 3*w)*(0*w - 2*w + 3*w) - 2*w**2 + 3*w**2 - 4*w**2).\nAnswer: 101*w**4 + w**3 + 52*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11348 is divided by 2824?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*c - 13 = 0, -3622*j + 3621*j - 3*c + 16 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 4) to base 9.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18676 - 18573. Calculate the remainder when u is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-88)\/(-100)*-5)\/(-1). Which is the second biggest value? (a) 2 (b) j (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:05 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 42 + 0 = 0. Calculate the common denominator of -16\/25 and 5 - (j + -1 - (-102)\/(-180)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*z - 15909 + 5289 = 0. Calculate the remainder when 195 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let a(t) = -t**3 + 4*t**2 - t + 3. Let g be (8\/5)\/((-6)\/(-15)). Let l be a(g). What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 3*t)*(0 - 94*t + 1 + 91*t).\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from {k: 3, i: 3, v: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-40)\/((x**(-2\/9)\/x)\/(x**(1\/12)*x*x)) assuming x is positive.\nAnswer: x**(2999\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/307396 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - 1.5. Suppose 2 = 2*m, -5*l + 0*m = 4*m - 9. Let r = 59 + -235\/4. What is the nearest to r in l, -1\/6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -d + 5*v, 0 = 34*d - 29*d - v - 98. What is the remainder when 447 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2368671 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -653*x**5 - x**4 - 270*x**3 - 30784*x**2 + 270*x wrt x?\nAnswer: -39180*x**2 - 24*x - 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72811, -291221, -655237, -1164859?\nAnswer: -1820087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:54 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 21*b + 15. Let m be n(-6). Let h(g) = g - 4. Let x(y) = 2*y - 5. Let d = -1 - -3. Give d*x(q) + m*h(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 = 4*n, -n = -4*y + 3*y + 17. Let q = -20815 + 20812. Which is the closest to -0.1? (a) q (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124054.\nAnswer: 2, 7, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 35. Let i(n) = -2 - 8 + 0 + 3*n. What is the least common multiple of 11 and i(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4185 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11722600 and 300.\nAnswer: 35167800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-24)\/526) - 9\/36. Let h be (-308)\/q*18\/21. Solve -24 = -10*c + h*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/12*248\/62)\/((-133)\/190)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182918723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(42\/10)*4332\/380\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b - 2*b - b. Let v(t) = -3*t**2. Determine r(v(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:11 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 393.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-8)\/16)*4\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 36*k**2. Let v(u) = -3*u**2 + 15 - 15 + 10*u**2. What is 16*v(m) - 3*x(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284035*y - 399 = -284056*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 + 7.1. Let g = -2.5 + u. Let s = 8 + -11. Put g, s, 0 in ascending order.\nAnswer: s, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 13*a - 8. Let q be 0 - 122\/(-6) - 7\/21. Suppose -8*p = 124 - q. What is s(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4076194 to the nearest integer?\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyayxaaa. What is prob of picking 1 y and 1 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2148687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*m**4 + 0*m**3 - 1768*m**2 - m**3 + 1761*m**2 in the form w*m + a*m**4 + y*m**3 + v + z*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/30400 and 91\/22.\nAnswer: 334400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2497.2 + 2497. Let a = 8 + -10. Sort a, w, -1\/21, -3.\nAnswer: -3, a, w, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**(-1\/42)*u**(2\/3)*u\/(u*u\/u**(-6)*u))\/(u**1\/u**(2\/3)*((u*u**(-1)*u)\/u)**(-1\/3)) assuming u is positive.\nAnswer: u**(-160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2\/7, -0.087, -5.\nAnswer: -5, -2\/7, -0.087, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, -2, -4\/187, 927.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4068?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 51753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 161171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-8 + (5 - -7))) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2 + (4 - 2 - 1)*(2 + 2 - 5) - 1 - 3 + 6 - 3 + 0 + 2)*(19653 - 1773*f - 19653 - 3253*f).\nAnswer: -10052*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7560171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1441 - 96544\/67. Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-12)\/3) + -59. Let j = 65 + m. Suppose 5*i = -o + 13, -j*o + 17 = -o + i. Solve -12 = 3*l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2039\/8 and -254 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -40. What is the highest common factor of j and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x**3 - 2*x**3 - x**4 + x - 2*x**3 to s*x**3 + f*x**4 + n*x**2 + i + v*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 321 and 78.\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3635\/3277 or 2?\nAnswer: 3635\/3277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z + 3*z**2 - 3*z - 1 - 5 + 3 - 6*z**2 as a*z**2 + o*z + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135846 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 343 - 343*d**2 - 173 - 170 as n*d**2 + a*d + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*w - 184*w + 6 = 9*f, 5*w = -2*f + 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 215*f**2 - 757*f + 2151. Determine g(-111).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 5. Let q(j) = 3465*j**2 + 420. What is -84*k(l) + q(l)?\nAnswer: 3633*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11294007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/110 and 7\/(-11)*(-76)\/(-24)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.13. Let o = -0.4 - x. Let m = 0 - -1. Sort 6\/11, o, m.\nAnswer: o, 6\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 - 563*m - 2587. Determine w(-183).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143604247 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)\/(1\/1). Let d be (1\/2)\/(j\/2). Which is the second biggest value? (a) -0.5 (b) d (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1\/(2\/(-2))*-2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1361.\nAnswer: 1\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 47. Is 19 a factor of (-1708)\/(-9) - (-4)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1\/2*s**3 - 15*s + 1\/20*s**5 - 3*s**2 - 1\/6*s**4 + 0. List the prime factors of h(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 108.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*4\/(-18) + ((-40)\/(-99))\/1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 53. What is x(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213306077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2802421065 + -2.\nAnswer: -2802421067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 + 17*q - 4. Let w(g) = 9*g**2 + 35*g - 9. Let n(u) = 5*p(u) - 2*w(u). What is the second derivative of n(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.79 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71203064 and 80103447.\nAnswer: 640827576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -42. Let u be -6*36\/o - 24\/(-40). Calculate the greatest common divisor of u and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 283*l**2 + 1231*l + 348378. Calculate b(-283).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(637))**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76) + 0 + sqrt(684))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 748, 870, 1030, 1246, 1536, 1918, 2410?\n\"Answer: 3*f**3 + f**2 + 98*f + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 3192291 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:05 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + d - 4, 5*m - 2*d - 14 = 0. What is the remainder when 12 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 83031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27325738 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3270 + 7014. Is m a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -162001, -324001, -485999, -647995, -809989, -971981?\n\"Answer: m**2 - 162003*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 33*p = 2*w, 5*p = -w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 1724*n**2 + 39380*n + 219252.\nAnswer: -4*(n - 453)*(n + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f + 804670 - 802978 = 0 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*0\/(-1 - -2). Suppose 1090 = 5*z - z + 2*u, -5*z + u + 1380 = n. Suppose -a + z = 5*s + 4*a, -112 = -2*s - 3*a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-8 + 5) - 13301. What is j rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -249, -816, -1921, -3744, -6465?\nAnswer: -10264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-2 - 7) + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -648339 divided by -303?\nAnswer: 216113\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6788 - 414*j - 6788 to the form h + z*j and give z.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 37*d - 1126. Let w be f(33). Calculate the greatest common factor of w and 1615.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 13*u - 2*u + 3*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3 + 4)*-307)\/(7\/(-413)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000641671294 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(51 - (-107446)\/(-2108)) - -40?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49733 is divided by 513.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(-10)*(-88)\/(-1650). Which is the closest to 2? (a) f (b) 0.2 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*p**5 - 1321*p**3 + p**2 - p - 23983.\nAnswer: 180*p**3 - 7926*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 4b?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 6. Let x(f) = f - 1 - 13 + 21. Give 5*v(t) - 4*x(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453*d - 1461*d + 2890*d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138377\/6 + 23278. Let g = b - 5455\/24. What is the common denominator of g and (97\/(-48))\/(3\/(-9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*x - 2*x = 6, -2*t - x = -9. Let j = 0.042 - -31.958. Let y = j - 25. Is t greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 105?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93320.7022 + 93313. Let m = -7.7 - g. What is m rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7070906 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208877 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 1313*g - 57050. Give b(45).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*l**2 + 4*l + 33 - 5*l + 548*l**2 - 29 - 60*l**2.\nAnswer: 1143*l**2 - l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1203\/2 - 600. What is the closest to -26 in -5, v, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - 2*c**4 + 0*c**4 - c**4 + c**2 - c**2 + (2*c**3 - c + c)*(-c - c + c).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000082624 to 6 decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -0.034. Let g = o + 0.01599954. What is g rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 15. Let j(a) = -210*a**2 + 135. Let b(y) = -19*y**2 + 12. Let g(c) = 45*b(c) - 4*j(c). What is g(h(w))?\nAnswer: -15*w**2 + 450*w - 3375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:26 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 19. Let c = -176 + -41. Let k = c + 238. Calculate the lowest common multiple of f and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5246*a**2*g**2*q - 2*a**2*g*q - a*g**2*q - 51*g**2 + 88*g*q + 4 wrt a.\nAnswer: 10492*g**2*q - 4*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - 3795773?\nAnswer: -3795732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*r + 36. Suppose -b + 3 + 2 = 0. Suppose -2*w + 7*w - 25 = -b*y, w = 5*y - 7. What is the lowest common multiple of y and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 4)*532933\/1173 is divided by 48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8121.3 millennia in years?\nAnswer: 8121300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 1, u: 1, j: 1, y: 1, o: 1}. What is prob of picking 1 y, 1 l, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -22*v - 182. Give p(-13).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 4*p + 20. Let f be 372\/60 + 5\/(-25). Let j be y(f). What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 21, 67, 145, 261?\n\"Answer: c**3 + 7*c**2 - 8*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-4))\/(4\/40))\/(110\/(-132))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 1:22 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*r**2\/7 + 153450*r\/7 - 99504\/7.\nAnswer: -2*(r - 2073)*(37*r - 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -7336\/27 in decreasing order.\nAnswer: 4, -5, -7336\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -6)*2\/10. Suppose 5*a + 9 = -3*g, 2*g + 5 + q = 4*a. Solve i = -2*o + 1, a = -o - 3*o + i - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*27\/(-12) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:45 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046755338 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*k + 6. Let a(q) = q**3 - 5*q**2 + 5*q - 3. Give a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6 - 4\/90*-39?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) + 5\/((-2)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328144967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 113, 218, 355, 524?\n\"Answer: 16*m**2 + 25*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4\/5 + 36*o**3\/5 + 63*o**2\/5 - 294*o\/5 = 0. What is o?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.6. Which is the biggest value? (a) f (b) 2 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.59 + -0.49. Sort 0, x, -1\/4.\nAnswer: -1\/4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 + i + 1. Let y(g) = 10*g**3 + 4*g**2 - 3*g - 3. Let l(b) = -4*p(b) - y(b). Let x be l(-1). Let h(z) = z**3 - 6*z**2 + 3. Give h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 81, 68, -11, 4, 2 in decreasing order.\nAnswer: 81, 68, 4, 2, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76508575?\nAnswer: 5, 11, 13, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**4 + 8*x**3\/3 + 1. Factor u(f).\nAnswer: -4*f**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4235, 16849, 37873, 67307, 105151, 151405?\n\"Answer: 4205*y**2 - y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33\/12)\/((-4)\/(-16)). Let y(r) = r**3 - 12*r**2 - 3*r - 9. Let v be y(n). Is 4*(-2)\/(8\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -879*p - 10413. Calculate y(-16).\nAnswer: 3651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 14 + 35 - (0 - 4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3432 and 67\/579.\nAnswer: 662376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.45 + -0.45. Let v = 380.5235058 - 415.523502. Let q = v + d. Round q to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13354, 26642, 39830, 52876, 65738?\n\"Answer: -7*p**3 - 8*p**2 + 13361*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1901, 1900, 1899, 1898, 1897?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than or equal to -2\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4005 divided by -789.\nAnswer: -1335\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t + t**2 + 12*t**3 - 8*t**2 + 0*t. Let w(p) = -8*p**3 + 5*p**2. Give 5*q(a) + 7*w(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1605 and 320205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 903077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**2 - 15*f - 40. Is w(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 15626 - 15626 - 2*l**2 + l**2 + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-450)\/(-32))\/(9\/12)*(-704)\/(-132). Solve 16*y - r = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064 = 2*g - 5*c - 1069, -6 = 2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/j**14)\/j*j\/(j*j*j**(-12)*j)*(j*j**(-7)*j)\/(((j*j**(-1\/5))\/j)\/j) assuming j is positive.\nAnswer: j**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 9)*51\/850*20. Let d be -16*2*(-3)\/2. Calculate the greatest common divisor of d and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) 1\/4 (c) 3\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 1. Let p(o) = -o - 7. Let z be p(-6). Let x be l(z). Suppose -x*f + 98 = -145. Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:12 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 12*o**2 + 11*o - 13. Let z be k(11). Which is the second biggest value? (a) -0.4 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4 (b) 0 (c) -2\/13 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 3. Let o be k(-7). Suppose -t - u + 189 = 4*t, 0 = -o*t + 4*u + 132. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -137*z**2 + 195*z + 6. Let w(a) = -23*a**2 - a + 1. Let j(u) = -k(u) + 6*w(u). Let b(o) = 2*o**2. Give b(j(l)).\nAnswer: 2*l**4 + 804*l**3 + 80802*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 0, -3*q = i - 7*q - 62. Let c be (-2028)\/(-336)*12\/i. Let t = -10\/217 - c. Find the common denominator of 51\/14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80294060 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002839168586 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 17 - 62. Solve 2*k - m = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*o + 6 = -340*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b + 14. Let a be g(0). Let m be (-4)\/a + (-1222)\/140*-17. Let n = 148 - m. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -223*l**3*p**4 - 385*l**3 wrt p?\nAnswer: -892*l**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 516 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*d + c, 41*d = 40*d - 4*c + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7899 divided by 2.\nAnswer: 7899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/2 - 20*l**3\/3 - 28*l**2 - 48*l - 992. Factor t(r).\nAnswer: -2*(r + 2)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29824, -59648, -89472, -119296?\n\"Answer: -29824*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:30 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1 - (-2 + 2*sqrt(3)) - (5 + -4*(sqrt(363) + 0)))**2.\nAnswer: -300*sqrt(3) + 7509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 17*n. Let m(x) = -x**3 + 6*x**2 - 4*x - 6. Let g be m(5). Let a be k(g). Let y = a + 50. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v**2 - 18*v - 44. Let m(l) = 11*l**2 - 8*l - 21. What is 9*m(a) - 4*s(a)?\nAnswer: 15*a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110110 (base 2) in base 7?\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = -13*n - 111. Let u(o) = o**3 + 3*o - 4. Let t(d) = -d + 1. Give n*t(k) - u(k).\nAnswer: -k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 + 34*m**2 + 226*m - 1. Let u(k) = 3*k**3 + 23*k**2 + 226*k - 1. Let n(q) = -2*r(q) + 3*u(q). What is the second derivative of n(s) wrt s?\nAnswer: 6*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - -2.46. Let z = 8.5 + a. Let y = z + -10.8. Sort 2, y, -4.\nAnswer: -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**2 - 3*c**2 - 2*c**2 + (-16772 + 16772 - 177*c)*(-3*c + 2*c + 0*c).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24177 (base 12) to base 8\nAnswer: 136753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 240, 0.5, -3.\nAnswer: -5, -3, -2, 0.5, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6378456 to the nearest integer?\nAnswer: 2526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/6)\/(m**(-5)*m))\/(m**(-2\/7))**(12\/7) assuming m is positive.\nAnswer: m**(1565\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58440215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -685 - -718. Let f(d) = 24*d + n*d + 10 - 57*d - d**2. Let w(b) = -b**2. What is w(f(i))?\nAnswer: -i**4 + 20*i**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**2 + 16*n**2 - 19*n**2 - 14*n**2.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1343 (b) -4 (c) 9 (d) 446 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387 - 535. Let n = r - -234. Calculate the remainder when n is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*b*f - 3*a**2*f - 2*a*b*f*v + 60*a*b*f + 15*a*v - b - f*v + 3*f wrt b.\nAnswer: -a**2*f - 2*a*f*v + 60*a*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.042 - -6.542. Let w = 6.4999985 - s. Round w to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -21.9. What is the nearest to 0 in b, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8284067 weeks to seconds.\nAnswer: 501020.37216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 13) in base 9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242*b**5 + b**4 - 22*b**3 - 2319251*b.\nAnswer: 4840*b**3 + 12*b**2 - 132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 322?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1144 + 1143.6072. Let z = d + 0.0598. Let y = z - 14.567. What is y rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17670*q = 8262*q - 946283 - 1309801 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.64 - 0.36. Let j = s + 21. What is the closest to -0.3 in j, 1, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 10) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(500)*-1 + 2 - (sqrt(500)*-1 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 413 + -409. Suppose 7 = -4*v - 9, 2048 = 3*o + j*v. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 15. Is (253\/(-22))\/((-2)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8648 - 2*l**3 - 8648 - 113*l in the form n + k*l**2 + g*l + p*l**3 and give g.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -8 + 17 - (-3 + 7). Solve -33 - 17 = -z*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/3 + 3*g**2\/2 - 2*g + 4. Let o(j) = j**2 + 4*j - 2. Let q be o(-5). Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 + 223.359. Let m = -359.359 + u. Let y = m - -362.37. What is y rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67288 = 5*q + h - 293206, 0 = 4*h - 12. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**4\/13 - 270*l**3\/13 + 2244*l**2\/13 + 578*l\/13.\nAnswer: 2*l*(l - 17)**2*(4*l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 237. Let g = -197.36 + k. Let z = -4.83 - g. What is z rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j + 8. Let y(v) = -v + 1. Let g(h) = -l(h) + 5*y(h). What is g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1174 + 1328. Calculate the remainder when l is divided by 154.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 674510503 to the nearest integer?\nAnswer: 25971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -18. Let j = 7 + q. Suppose -2*u = -u - 3. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1527914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 2 (b) -9\/2 (c) -3\/8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 1638.1977.\nAnswer: 1638.0977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: a72b7 (base 14) to base 8\nAnswer: 1424721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 7785*a - 23328.\nAnswer: -3*(a - 2592)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9682?\nAnswer: 2, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.32, -1\/4, 5 in descending order.\nAnswer: 5, 0.32, -1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3259\nAnswer: -5\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1885 + 2101. Calculate the remainder when n is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 15}. Give prob of sequence weew.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 5, t: 4, m: 10}. Give prob of sequence ts.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1740*x + 43515. Calculate q(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2292430 from 5.\nAnswer: -2292425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 4 + 210\/4 + (-1)\/(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64\/3 + 21. Which is the nearest to n? (a) 0.1 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698217299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79\/6 + 27\/2. Sort k, 0, 3 in increasing order.\nAnswer: 0, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*v = -6*b + 25, 2*b + 5*v - 16 = 0. Suppose 0 = 5*p + i - 527, 3*i + 330 = b*p - i. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 3*w**2 - 2 + 2*w**3 + w**2 + 3*w in the form c*w**3 + m*w**2 + d + t*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 31649*u - 31647*u - 7 - 37 - 31655*u + 94964*u.\nAnswer: 13*u - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 152, 305, 516, 785?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -39*o - 103. Determine f(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -142 + 28. Suppose 5 = 2*l + 37. Let n = p + l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(192) + sqrt(192) + -2) - sqrt(192).\nAnswer: -56*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39929614873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 bigger than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80915 + -15?\nAnswer: -8092a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o**3 + o + 12*o**3 - 24*o**3 + 2*o**2 + 3*o - 6*o. Let i(q) = q**3. What is i(r) - y(r)?\nAnswer: -r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kit when three letters picked without replacement from ttkxktitiis.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (-1 + sqrt(99)))*6 - sqrt(99)) + -5 + -5 + -5)**2*4.\nAnswer: 216*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10888530?\nAnswer: 2, 3, 5, 362951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 >= 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.64 - 0.36. Let n = -61672.0076 + 61654. Let a = n - w. What is a rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85625.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 10, m: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 4. Let n be (-9)\/h*64\/4242. Let q = 76583\/7070 + n. What is the common denominator of q and -139\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 6:30 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(27)\/(sqrt(54)\/sqrt(6)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-65)\/(-4) - (-4)\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -17. Suppose -3*h = -g - 2*h, g - h = -2*h. Is g > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:48 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021838700?\nAnswer: 2, 3, 5, 59, 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:42 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4731613 or 4731614?\nAnswer: 4731613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:00 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*k = 4, k + 2*k + 3 = 0. Suppose w*j + 3*z = 3, -4*j + 8*j - 4*z - 16 = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/4 (b) 87 (c) -56 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.562 - -13.362. Which is the nearest to f? (a) 4 (b) 0.21 (c) 1\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (-14)\/2 - 8. Is (-2738)\/u + (-12)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -26. Let p = s - -15. Solve -p*z + 1 = -19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 61*y + y**2 - 2 - 112*y - 6 + 67*y. Give w(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 6*q + 78, 62*q - 58*q = h - 53 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 916*g + 3636. What is the tens digit of i(51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3200, 3.\nAnswer: -3200, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 8. Let l(c) = c + 8. Let z be l(9). Suppose -z = 2*d - 5*d - 4*n, 4*d - x*n - 4 = 0. Solve -4*m + d = 2*y + 25, -3*y + 2*m = 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -463*c - 8*c**2 + 463*c + 5 to the form f*c + k + o*c**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 104. Let t be (-6)\/(-27) - 460\/(-36). Calculate the highest common divisor of d and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 706\/14 + 21\/(-49). Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 425285.2799932 + -425286. Let c = 0.72 + h. What is c rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2201 (base 3) to base 10\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25744.8234 to the nearest integer.\nAnswer: 25745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/409024 and 79\/166166.\nAnswer: 5317312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206160904.\nAnswer: 2, 17, 151, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/60 - 5*p**4\/8 - p**3 + 37*p**2. Let y be w(-8). Suppose -3*b + 3*s + 246 = 0, -s = 2*b - y - 102. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 0*a + 2*a + 6. Let z be s(-5). Suppose -2*k + 3*r + z = -r, -k - 15 = 5*r. Solve k = 2*f - f - 3*y, -5*f + 2*y = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1067*i - 23*i**3 + 390*i**4 + 23*i**3 + 1851*i**4 - 2292*i wrt i?\nAnswer: 26892*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + j**2 - 5*j**2 - 3*j**2. Let x(q) = -21*q + 11. Let t(y) = 4*y - 2. Let i(r) = 33*t(r) + 6*x(r). Determine n(i(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -5*c**2 - 5*c - 607. Let y(i) = -9*i - 4. Determine -4*p(j) + 5*y(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-90 - (-2 - -4)). Suppose v = -4*v + m. Suppose v = 4*r + 2*f - 29, 4*f + 48 = 4*r. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(16\/(-80)*10) + 28114*1?\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 - 17*b**2 - 16*b**2 - 5*b**2 + 8*b**2 + 16*b**2 - 7*b.\nAnswer: -b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 2. Let b be (3 - 1)\/(6\/162). What is the remainder when 1578\/b - (-2)\/(-9) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16734037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 296079845 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 10*i**3 - 8*i + 2*i.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 18. Calculate y(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 + 0 = 0. Suppose -5*b - 2*l + 24 = -s*b, -5*b - 4*l + 40 = 0. Let o be (-4)\/15 - b\/(-12). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crufcfv. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-10))\/(19\/2 + -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80 and -1581039696.\nAnswer: -1581039776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*l - 4, 221*l + 110*w + 46 + 404 = 112*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13305*b**3*v + 2*b**3 + 14*b - 24 with respect to v.\nAnswer: -13305*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Let f(s) = -s - 1. Let q be f(-3). Let p(y) = -y + y + q*y. Calculate m(p(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19187*s**4 - 11*s**2 - 17*s + 27?\nAnswer: 460488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 0.704.\nAnswer: -11.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 10 + 16)*(348*f - 287*f + 672*f) in the form m + r*f and give r.\nAnswer: -1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/2 or 32?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than -452405?\nAnswer: -452405.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -3, -2\/11, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.1 - 7. Let v = 1.1 - t. Sort v, -0.4, -5.\nAnswer: -5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -61. Calculate the common denominator of 226\/(-12) - i\/7 and 21\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 286?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-16)*(19 - 19). Solve o = -v - 3*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c**2 - 27*c + 13. Let a be r(1). Solve 4*y - 5*v = 4 + 27, a*y + 3*v + 1 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1693, -3517\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 7*g)*(22 + 31 + 72 + 233).\nAnswer: -2148*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 316 (c) -3\/4 (d) 10\/13 (e) -0.3 (f) -0.1 (g) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-three fifths of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 36\/8 - (-57)\/38. Solve -4*w + 2*w = -5*k + 7, y*w = -k + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83725465 and 5858?\nAnswer: 167450930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22d5 (base 15) to base 6.\nAnswer: 54132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 684115451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 12*b - 510. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4420 + 25?\nAnswer: -4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {m: 5, b: 3, p: 3, t: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 721121025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*o = -898, -1716 = -4*z - 3*o + 36. Let f be (-2)\/(-3) + (-168)\/z. Which is the nearest to -2\/5? (a) -2\/5 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240054 or 240055?\nAnswer: 240054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 44*g + 235. What is n(-15)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11.12 * 32.41\nAnswer: 360.3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140173 is divided by 119.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421477 (base 8) in base 6?\nAnswer: -12342115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*((-210)\/49 + 4). Let y(j) = 4*j**2 + 31*j**2 - 34*j**2 + 28*j**z. Let g(q) = -6*q. Determine y(g(h)).\nAnswer: 1044*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r**2 - 2*r**3 - 48*r**2 + 26*r**2 - r. Suppose 0 = 6*a - 11*a - 10. What is the smallest common multiple of v(a) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, 0.1, -4, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-6))\/(5\/110) + 2. Suppose -a = -16 - l. What are the prime factors of a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.113 (b) 0 (c) 5\/6 (d) -2\/5 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*l - 50, -13*t + 7 = l - 8*t. Let q = 87 - 51. 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: What is the least common multiple of 1800 and 1800?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-16)\/(-1664) - 11580\/(-156)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.84918827 rounded to one decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.94 + 9. Let n = k + -0.02. Let z = n + -0.04. Is z <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 240322 - -11252?\nAnswer: 251604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -1, 2\/3, 2\/11, 0.58, -2\/81?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2 + 8*f - 2. Let x be h(7). Suppose 24 - 114 = -x*p. Let i = 21 + -5. Calculate the smallest common multiple of p and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 2. Let j be w(8). Let l be (2\/j - -3)\/((-2)\/(-3)). Factor -1\/3*a**5 + 0*a - a**l + 0*a**2 - 2\/3*a**3 + 0.\nAnswer: -a**3*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822494 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 2. Suppose 4*b - b = 4*w, -w - 17 = -5*b. Suppose 44 = -w*m + 20. Let k(z) = -1. Determine m*k(t) - 4*r(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/6))\/(m*m**(-2)*m))\/(m**1)**(-6\/23))**(7\/9) assuming m is positive.\nAnswer: m**(1379\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193257 is divided by 185.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001927158 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17781.197 days to weeks.\nAnswer: 2540.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0673 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/2)\/o)\/o)\/o)**33 assuming o is positive.\nAnswer: o**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 11. Let p be g(8). Suppose p + 0 = -y. List the prime factors of 9 + (-3)\/y*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8.3. Let n = 1.4 + -1.6. What is the nearest to n in 0.2, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/240 - p**5\/20 - p**4\/4 - 2*p**3\/3 + 5*p**2 - 20. Let i(f) be the second derivative of j(f). Find v such that i(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.4*-3\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70)*2 + sqrt(70))\/sqrt(10) - (sqrt(700) + -2)**2.\nAnswer: -704 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 333*u**2 + 13 - 1534*u**2 in the form g*u + s + l*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b - b)*(4 - 3 + 2)*(-66*b - 47*b - 11*b).\nAnswer: -1116*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/14 and (-25)\/12*-1 + 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b**2 + b - 2. Let q be s(3). Let r = q + -80. Let z = r + -24. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1863 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 212730 = 212698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/428444 and -21\/40?\nAnswer: 4284440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 735 + -689 - (1 + -2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161006924 to the power of 1\/3, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 29*t**2 + 84*t - 2072. Determine x(17).\nAnswer: -4112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304*f**3 - 367*f**3 + 218*f**3)*(-2 + 0 + 1) - 2*f**3 + f**3 - 2*f**3.\nAnswer: -158*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Let i = -36 + 30. Calculate b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2518566 by -3.\nAnswer: 839522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y - 248*y = -2009000. Is 7000 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*1*sqrt(143))\/((sqrt(539) - sqrt(539)*-2)*4).\nAnswer: sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*2\/(-4) + 0. Let x(l) = -15*l - 90*l + 1 - 22*l + 128*l. Give x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 85578 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447103935.\nAnswer: 3, 5, 3311881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6799746*f**3 - 3216*f**2 + f + 525?\nAnswer: 40798476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 - 5)*(-220)\/(-140). What is the greatest common factor of t and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.107 - 0.893. Let l = -34 - -28.2. Let i = -6 - l. Put i, 31, z in decreasing order.\nAnswer: 31, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74.46479 micrometers?\nAnswer: 74464.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d. Let h(w) = -63926*w**2. Give h(v(m)).\nAnswer: -6392600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-6 + -4)**2 + -2.\nAnswer: 48*sqrt(7) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 3. Calculate f(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6344, -6372, -6410, -6446, -6468, -6464?\n\"Answer: 2*z**3 - 17*z**2 + 9*z - 6338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2b308aa (base 12) to base 5\nAnswer: -4221210420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.930561 micrometers in millimeters?\nAnswer: 0.003930561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(-650)\/(-195)*(-1)\/6. What is the closest to -1\/6 in 0, v, -1, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 4. Let o(g) = 3*g**3 + 9. Let y(f) = 3*o(f) - 5*v(f). Differentiate y(t) with respect to t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 416, 2013, 4812, 8807, 13992?\n\"Answer: -f**3 + 607*f**2 - 217*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(2299) + 5*sqrt(2299)*-3)**2.\nAnswer: -1232*sqrt(19) + 450616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -20*j + 58368. Is j a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1921092504 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {d: 2, v: 9, m: 2, p: 3, g: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-2 + 2 + d) + 13 - 10*d - 13 + (0 - 1 + 0)*(2*d - 4 + 4) as f + p*d and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228207 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.045, 2, -0.15?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*c, 1 = -5*p + 9*p - 2*c + 7*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2699 + 5318. Suppose -2*b + 0*b = -3*z - 21, -2*z = 6. Suppose x - 177 = b*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 4, o: 14}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 13 = -u, -4*u + 6446 = -4*t + 6434 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 1 - 2) + 14 + -19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) + 23\/7. Suppose -m*d + 2*d + 10 = i, -5*i + 85 = -2*d. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37677 and 3363.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -17. Let u(q) = q**3 - 6*q**2 + 5*q - 5. Let i be u(5). Let m = 8 + i. Calculate the remainder when g is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-1)\/(-8))\/(6\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6573629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 9*z - 2. Suppose s + o = 17, -3*s + 4*s = 4*o + 2. Calculate the greatest common factor of z and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*u + 14 = 0, -2*g + u + 10 = -0*g. Let k be 0 + -1 + g - 0. What is the units digit of (4*7 + 0)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 10*u + 1. Let a be g(7). What is the highest common divisor of a and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - ((-62 - -73) + -4).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 33. Let p = 28.77 - r. What is p rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 18*z**2 + 21*z.\nAnswer: -3*z*(z - 7)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46532018491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7450757 and 434?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 10315*q.\nAnswer: q*(q - 10315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -304, 6, 1.5465 in decreasing order.\nAnswer: 6, 5, 1.5465, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7456*t**3*v + 16*t**3 - 610*t**2*v + 18*t**2 - 2*t*v - 2*t + v wrt t?\nAnswer: 44736*v + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-54))\/((-2)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - q = -30. Suppose -4*j - 10 - 10 = 0. Sort q, j, 0, -4.\nAnswer: j, -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 120 = -4*t, -2*r - 66 = -3*t + 22. Calculate the highest common factor of 910 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + (3 - 3) + 2545 + -2564.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.83 and 5952.89.\nAnswer: 22799.5687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*x - 1. Suppose 0 = 6*p - 48. Suppose u - 82 = 4*c, p = 7*u - 3*u. Is x not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 314480 and 40.\nAnswer: 314480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n - 14. Suppose -9*k - 2*a = -7*k + 84, 2*k = 5*a - 56. Does 58 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26008 - 4?\nAnswer: -26012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 - -113213?\nAnswer: 113423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 805\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 4*q**2 + 3*q**2 - 7*q + q. Let x be t(-4). Let u = x + 21. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8008988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 148 + 0*r + 1\/6*r**4 - 14\/3*r**2 + 26\/9*r**3. Determine d, given that n(d) = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250488 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63704)\/(-10) + -4 - 6\/15. Is ((-11)\/(-22))\/((-3)\/(m\/(-1))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5840, -2, -8, 3, -2\/9, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than or equal to -0.054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 300. Suppose 7*q - d = -3*q. Calculate the smallest common multiple of 33 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 1081, 2465, 4387, 6841, 9821, 13321, 17335?\nAnswer: 21857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**3 + 144*f**2 + 180*f - 96.\nAnswer: 3*(f + 2)*(f + 8)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwgpq. What is prob of sequence wq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -2\/5, -8, 1 in increasing order.\nAnswer: -8, -2\/5, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 132 = 0. Let a = x - 29. Suppose 4*o = 3*n - 3 - 8, a*n = o + 6. Solve k + 6 = n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.101 + -48.899. Suppose 2270*i - 2226*i = -176. Which is the smallest value? (a) i (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -98*d + 514. Let p(m) = 88*m - 515. Give -8*a(y) - 9*p(y).\nAnswer: -8*y + 523","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 7:21 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 4}. What is prob of picking 1 f and 1 a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12190.138 from 37.\nAnswer: 12227.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46851, 93706, 140559, 187410, 234259, 281106?\n\"Answer: -y**2 + 46858*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3195370.9977 - 3195537. Let i = f + 166. Round i to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven fifths of a kilometer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37703 - 11844. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-5*(-18)\/540.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2142 - 330. Calculate the highest common factor of t and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/(h*h**(-4)*h)))*h**(3\/4)*(h\/(h*h**(-1)*h)*h)**(-1\/67))**(1\/20) assuming h is positive.\nAnswer: h**(1269\/5360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 20 + -29 + -3 - (8 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*q + 31*q + 21*q + 25*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Let t = 6 - 6. Let y be -2*(-1 - t) - 2. Solve y = 5*r - l*i - 45, i = r + r - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*d - 12*a, -2*d + 15*a = 20*a + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520780, 520777, 520762, 520729, 520672, 520585, 520462?\nAnswer: 520297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100012 (base 3) in base 13?\nAnswer: 90c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212 (base 6) to base 4.\nAnswer: -111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22329911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(13) + 3 - (sqrt(65)*2)\/sqrt(5).\nAnswer: -sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i, x = -4*i - 15 - 1. Let z = 11 + -4. What is the least common multiple of x and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b**2 - 1148*b + 1140 = 0. What is b?\nAnswer: 1, 285\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -40. Let x = q - -20. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 235320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*o + 3 = 7*o, 3*q + 4*o = -27. Let w be (q\/15)\/((-1)\/12). Let t(k) = -9*k - 8*k - k**2 + 5 + 21*k. Calculate t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/((-6)\/(-9)). Let l(r) = r + 1. Let i(j) = -12*j - 12. Let h(d) = c*i(d) - 10*l(d). Give h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 6. Let x(z) = -4*z + 4. Let c(k) be the first derivative of k**2 - 9*k + 1. Let m be c(7). Let b(q) = m*r(q) - 8*x(q). Give b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21223 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/((-8)\/(-36)). Suppose -775 = -h*t + 5*m - 3*m, -2*m = -4*t + 1034. Suppose 5*d - t = 31. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g, 0 = -2*d + 5*g. Solve 0 = 5*n + 4*b + 9, d*n + 4*n + 2 = 2*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -27*u - 2. Let q be t(-10). Suppose -o = 3*w - 8*w - q, 4*w = 20. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72354*g**5 + 14*g + 3377?\nAnswer: -1447080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15386*h**2 + 29722*h**2 - 14382*h**2.\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-3))\/((-6)\/46). Suppose -g*k + 10*k + 1430 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2127, 2088, 2017, 1914, 1779?\n\"Answer: -16*q**2 + 9*q + 2134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g + 22. Suppose 650 = -5*i + 3770. Suppose -2*n = -g*t - i, 3*n - 3*t = -2*t + 956. What is n rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 18. Let p(h) = 4. Let a(l) = 18*p(l) + 4*u(l). Let r(o) = 15*o**2. Determine r(a(w)).\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28641306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-154)\/56*12)\/(1 + -2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4423 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 803, 1845, 3303, 5183?\nAnswer: 7491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 768822 - -4556379\nAnswer: 5325201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/8 - (-14)\/(-4). Let u be 1 - 8 - (4 + j). Let w = 13 + u. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4078529155 to the power of 1\/2, to the nearest integer?\nAnswer: 63863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -3*z**5\/20 + z**4\/2 - z**3\/6 + z**2 - 23*z. Let b be m(-3). Calculate the greatest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122987807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5 - (9 + (6 - 0) + -8 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 2\/5 (c) -918 (d) -2\/29 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(7\/6)*f**(1\/14)\/f*(f\/f**(-13))\/(f\/f**33) assuming f is positive.\nAnswer: f**(971\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 - 1. Let p = 28 + -25. What is the second smallest value in -5, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((2*sqrt(250) - sqrt(250) - sqrt(250))*1)\/(sqrt(4)\/(sqrt(2) + sqrt(288)*-1))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 8*s + 10. Let i be k(9). Let t = i - -2. Put -2, t, -4 in decreasing order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h - 36. Let q be p(-6). Let v be (-7)\/(-14)*(16\/q)\/2. Let c = 31\/7 + -183\/35. What is the nearest to -2 in v, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Two letters picked without replacement from {h: 1, k: 9, z: 1, o: 1}. What is prob of sequence ko?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, g: 2, q: 5, i: 2, m: 2, r: 1}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*u + 48*u - 111*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-25)*1*5. Let i = -0.93 + 1.13. Which is the smallest value? (a) z (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 10*g**3 + 12 + 0*g + 5\/2*g**2. Determine w so that c(w) = 0.\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-2)\/(-1))*-1. Suppose 31 = l*g + 5*j, 0*g + 8 = g + j. Let t be 3\/(10\/4 - 1). Solve -g*n + t = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2604580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**5 + 420*y**4 + 22050*y**3 + 6*y**2. Let n(q) = 4*q**5 + 420*q**4 + 22050*q**3 + 4*q**2. Let c(j) = 4*m(j) - 6*n(j). Find w, given that c(w) = 0.\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 321416.92989 from 0.1.\nAnswer: -321416.82989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by 4262.\nAnswer: -70\/2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 567 - 558. Solve 0*q = -3*q + j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704711 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -95.6. What is the closest to -0.1 in 3, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:17 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -480863 divided by 7883\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954409 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*f**3 + 314*f**3 + 2*f**2 - 2*f**2.\nAnswer: 863*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 1. Let l = -4 - -3. What is the units digit of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 a factor of 11798542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + -14570.55.\nAnswer: -14618.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoqaaahaaqcq. Give prob of picking 1 a and 1 q.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225091, -225110, -225129, -225148?\nAnswer: -225167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 24*y**2 + 95*y + 30. Calculate the lowest common multiple of 270 and t(19).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1443*r**2*v - r**2 - 1415*r*v - 1576150*r wrt v?\nAnswer: 1443*r**2 - 1415*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let t be x(0). Suppose t = 3*u - 8 - 4. Suppose -u*w + w = -36. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0499*-101\nAnswer: 5.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7040 and 11660?\nAnswer: 373120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692 divided by -36?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 15*y + 8. Let n be 3 + (0 - (-5 - y)). Solve -2*c - 2 = 0, m = -3*m + 2*c + n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 0. Solve h = -d - d - 5*m - 12, -m = -3*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*n - 94*n + 306*n + 102 - 106*n + (-2 + 2 - 2*n)*(0 + 1 - 2) + 0*n - 2*n + n - 2*n - 1 + 1 - 2*n - 2*n + 3*n - n + n - 2*n.\nAnswer: -3*n + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*r + 133 = 0, 27 = 5*c + r - 702. What are the prime factors of c?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/6 + 19*x**4\/6 + x**3\/2 - 55*x**2\/6 - 19*x\/3 = 0.\nAnswer: -1, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:36 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 8 - -60 - (1069 + -1069).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2744000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13050211 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*1 + -5.\nAnswer: -5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - 20. Let s = 125 + p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*x**2 - 331*x**2 - 28*x**2 + 280*x**2.\nAnswer: -413*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -11. Let t(y) = y**3 - 7*y**2 + 5*y + 6. Let m be t(n). Solve -d - 5 = -3*r, m = 4*r + r - d - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*m**5 + 92*m**2 wrt m?\nAnswer: 720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225251 + 81090581\/360. Let v = 1\/72 - z. Sort 0.1, 0, v in decreasing order.\nAnswer: 0.1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/12 - (99\/(-24) + 4). Is t <= -2\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/13)*j**(3\/2))**(2\/13)\/((((j\/j**(-7))\/j*j*j*j)\/j)\/(((j\/(j**(1\/8)\/j))\/j)\/j)*((j\/(j**(-1)\/j))\/j)\/(j*j**(-6)*j)) assuming j is positive.\nAnswer: j**(-20233\/1352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 3*c - 27, 165923*z = -3*c + 165922*z + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0.5, -6, -4, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + 7 + -24 + 2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 - -0.192. What is c rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4791923594 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2655\/(-708))\/((-6)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 458227 + 163?\nAnswer: 45838a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w + 10*w - 7*w to t + p*w and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.1021 + 0.0979. Let n = 80.2 - v. Which is smaller: n or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -6) + (817 - 777 - (-23 + 2))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68187411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -412496 divided by -4\nAnswer: 103124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*s + s**3 + 7\/2*s**2 - 1\/2*s**4.\nAnswer: -s*(s - 4)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i. Let y be 808\/1 + 4 + 0. Let n(d) = y*d + 4*d**2 - 5 + 4 + 2*d**3 - 809*d. What is -n(a) + 3*z(a)?\nAnswer: -2*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:31 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3513*b - 1400 + 723 + 677.\nAnswer: -3513*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842 = 6*m - 890 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.89, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -13. Suppose 15*d - 884 = 1006. Let l = d - 118. Calculate the lowest common multiple of p and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 2*x)*(3 + 12 - 7)*(-1 + 1 + x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 - 2*t**4 - 3*t**4)*(t + 18*t - 5*t) + 2*t**5 + t**5 - t**5.\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 20. Suppose -a*z + 596 = -0*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244\/3 + -81. Factor -v*p**3 + 2\/3*p**2 - 1\/3*p + 0.\nAnswer: -p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 - 6*u - 6. Let n be x(-4). Find the third derivative of 1 + j**6 + 1 - 2 + 3*j**n wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 2, w: 1, k: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2543*b = 2555*b - 432 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4244*o - 6634. Let n(a) = -4244*a + 6649. Let i(g) = 11*j(g) + 12*n(g). Differentiate i(r) with respect to r.\nAnswer: -4244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.679725s in microseconds?\nAnswer: 7679725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.77 - -0.881.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -612669.95 to the nearest one hundred.\nAnswer: -612700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.8 - 31. What is the closest to -10 in r, 0.2, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 382*a + 7894. What is the hundreds digit of l(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let d(x) = -11*x + 4. Let f be d(0). Let u(a) be the third derivative of 4*a**2 - 1\/24*a**f + 0 + 0*a**3 + 0*a. Determine u(i(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab006 (base 13) in base 14?\nAnswer: -80c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9 + 1)*3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -147.6359863871.\nAnswer: -146.6359863871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.984 - -4.2. Let c = -21.116 + t. Let m = c - -20.89999909. Round m to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1672 and -97\/6?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 151 (b) -2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 37. Let x(b) = 32*b**3 + 4*b**2 + 3*b. Let d be x(-2). Let v = d - -1971\/8. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l\/l**(-3))*l*l)\/l*l*l**(1\/3)\/l*(((l*l*l\/(l*l*l**(-1))*l*l)\/l*l)\/l)\/((l\/(l\/(l**(-2)\/l)))\/l) assuming l is positive.\nAnswer: l**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c42 + 135?\nAnswer: -2b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5331 + 5444. Calculate the remainder when b is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 - 156 + 288)*(-1 + 4 - 1)*(6 + 9 - 2)*((3 - 2*l - 3)*(1 + 1 - 4) - l + 4*l - l).\nAnswer: 7332*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1741975304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.034453?\nAnswer: -2.965547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 2*z**2 - 1. Suppose -8 = -5*g - 3. Let k be i(g). Suppose -2*x - m - k*m = -15, -4*x - 5*m + 15 = 0. Solve f + 5 - 1 = x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4619 and 69583?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/17 at least as big as -10336\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 11096?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + 5. Let r = 102 - j. Suppose -2*c - 14 = 2*y, -12 = r*y - 3*c + 2. Put y, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -0.3 (c) 1 (d) 836 (e) 2 (f) -0.2 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50746 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = -0. Suppose 16 = -5*q + 91. Calculate the highest common divisor of d and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q + 41. Let k be i(2). Solve -4*l + 0*l - 28 = -4*d, 0 = 5*d - k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13634 (base 10) to base 6\nAnswer: -143042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306204008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586672.2um to kilometers.\nAnswer: 0.0005866722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012105 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/31563600 and -1\/34500?\nAnswer: 3629814000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**3 - 3*x**2 + 13*x - 145. Let l(r) = r**3 + r - 6. Determine 2*i(n) - 26*l(n).\nAnswer: -4*n**3 - 6*n**2 - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2529079932 + 0.5\nAnswer: -2529079931.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10 + 128\/84?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10050004 = -5*m - 2*s, 5*m + 10050012 = 3*s. What is m rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 570.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 2*u**2 - 6*u**2 + (u - 5*u + 3*u)*(-2 - 3*u + 2) + 6 + 4*u**2 - 3 - 2*u**2 to the form m*u + h + r*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 7*s**2 + 8*s - 3. Let b = -87 + 93. Let u be b\/(-4) + -6 - (-2)\/(-4). What is y(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 12 - 42. Suppose 0 = -y - 2*x - 2*x - 9, 3*y - 4*x - 37 = 0. Calculate the smallest common multiple of l*7\/(-147) - (-83)\/y and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*w + 466*w + 347*w + 36211 = -140*w for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 2*d - 18)*(0 + 4 + 28*d - 34*d + (-2 - 1 + 5)*(-3 + 3 - 2*d)).\nAnswer: -20*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52074960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/2*140\/(-8). Let f = -349\/5 - p. Let i be (4\/64)\/(-1 - (-5)\/6). Sort -1\/2, f, i in decreasing order.\nAnswer: f, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 301 + 181 = 0. Calculate the smallest common multiple of t and 22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.998 - -1. Let v = -31 + 30.981. Let k = v - l. Round k to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.197058l to millilitres.\nAnswer: 3197.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4*2\/16)\/((-1360)\/408))\/((-9)\/78).\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 - 59262*t - 585330774.\nAnswer: -3*(t + 19754)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b - 22 + 97*b + 2 + 13 + 7.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1542 - -1560)\/(2\/27). Let v be 7\/((-21)\/(-324)) + 0. Calculate the greatest common divisor of v and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 0.0080438?\nAnswer: 0.00723942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167 by 620.\nAnswer: 167\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 11 = -2*w, -5*p + 7 = -4*w. Let t be (-10)\/p*84\/(-35). List the prime factors of ((-14)\/t)\/((-2)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/3939175 (c) -4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187134 - 186672 = -33*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798350.\nAnswer: 2, 5, 55967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o*o**7*o)*o*o)\/o)\/(o\/o**1)*(o**3\/o)**(-31) assuming o is positive.\nAnswer: o**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnnxswwxnnn. Give prob of sequence nswn.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -15. Suppose -11*q + b + 5 = 0. Let r(t) = 1347*t - 1. Is r(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27512 > 27528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:20 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = -b - 0, -6 = 3*y. Let p = -3 - b. Suppose p*t - 10 = 6. Solve -5*d = -6 - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = -2*r, 3*y = r - 2 + 14. Suppose r*s + 9 + 6 = 0. Suppose 0*k - 6 = 2*k. Which is the closest to 0.1? (a) -1 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 8*c**2 + 6*c + 10. Let a be f(7). Let n = a + 0. Suppose n*s - 29 = 13. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331410 + -94861. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10040, -20173, -30398, -40715, -51124, -61625?\n\"Answer: -46*i**2 - 9995*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6*n - 236 = 3*n, n = 0. Let a = x + -1183\/5. Sort 1\/11, a, 47 in increasing order.\nAnswer: a, 1\/11, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:00 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19325?\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277251 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -223399 - -20599676?\nAnswer: 20376277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/30)\/((-1)\/(-15)). Suppose 0 = 2*u - 12 + 4, 2*u + f = 4*n. Solve -4*k + 6 - 2 = -d, 5*d + 20 = n*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154646 - 60613. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456720 divided by 11?\nAnswer: -41520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38 + -1.17. Let z = 0.69 + y. Is 10.2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**36)**(-27) assuming s is positive.\nAnswer: s**(-972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 12 = 28*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 4 (c) -1\/4 (d) 31 (e) -5 (f) 120 (g) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r + 3. Calculate the remainder when 99 is divided by q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -67\/4 (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90729071 is divided by 411.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 7*v**4 - 47*v**3\/7 - 2060*v**2\/7 - 12*v = 0.\nAnswer: -6, -2\/49, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 - 11*s**2 - s**2 - s**2 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-8))\/(31\/(-67456)*102).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose q - 2*p - 14 = -k*q, 31 = 5*q + 2*p. Solve 2*w = 8, 3*w = -q*a + 2*w - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -497224 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(-2 + -2*sqrt(128) + (sqrt(128) - (-2 + (-2*sqrt(128) - sqrt(128) - sqrt(128))))).\nAnswer: -5 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 2)*(-49)\/(-294).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.2, -2\/7, -0.4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 10*z - o + 7, -o = 1. Let g(b) = -3*b - 26. Calculate g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(6\/14))\/((-56)\/13104). Round u to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63 and 411943.\nAnswer: -25952409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 19*t = -25*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*p - 23, -3*p = -21 + 39 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 12}. What is prob of sequence uuuu?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 - 6 = 2*x, 2*x = -10. Suppose c - 17 = m*i, 2*c = -0*c + 5*i + 33. What is the remainder when 93 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844559 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1303643487\/2471 - -527577. Let p = t + 2\/353. Let f = 68\/3 + -23. Which is the biggest value? (a) 1\/3 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4, -735\/244.\nAnswer: -735\/244, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 3. Let z be d(-3). Let h = z - -4. Suppose 36 = 2*a - h*w, 5*w = a + w - 28. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001808879765 to 7 dps.\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118461 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16855 - -16857. Solve -5*u - s = 6, 5*u + 6 = d*s - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Let a(g) = -4223*g**2 - g. What is a(o(q))?\nAnswer: -4223*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/5 (b) -5 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) - (-14)\/48.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -22*u**2 - 4*u - 3. Let h be k(-2). Let l = 81 + h. Let z = 3 - 6. Is z at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -24. What is the second derivative of t*i - i**2 + 7*i**3 - 12*i**3 + i**2 wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*f - 7, 2*f = -13 + 21. Suppose 6 = -6*o + 3*o. Sort g, o, 3.\nAnswer: g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1038 (base 9) to base 5\nAnswer: -11024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0*d**2 + 2*d**2 - 249*d + 9*d**2 + 44 + 262*d - 8*d**2. Determine r(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5053 (base 15) to base 10.\nAnswer: -16953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -130.3. Let p = -4838 - -4737. What is the closest to 1\/3 in -1, p, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let n(c) = -10*c - 4*c**2 + c**2 + 16*c. Calculate -6*k(r) - n(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g. Let i be 18\/(-72)*(-8)\/(-42). Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {y: 9, r: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (18\/24 + (-945)\/(-900))*30 + 5\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 11*r - 44. Solve -2*k - r*g = -k + 8, 3*k = 5*g + 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 1944 = -5*v. Let b = 111 + v. Solve -5*d = b*c + 9, 5*c - 5*d + d - 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-292)\/48 - -6)*-9\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.7 (b) 1\/2 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -524*i + 530*i - 3*f, -6*f - 22 = 5*i - 4*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 36*p**2 + 38*p + 2. Let t be m(19). Suppose -5*k + 31 = -v + 40, -2*v - t*k = -6. Solve v = -2*q + 4*d, -5*q - 5*d - 22 = -3*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3)*x*x*x**(-3\/10))\/(x**(2\/7))**(1\/17))\/((x**7\/(x**(-8)*x))\/(x*(x**(-1\/2)\/x)\/x)**22) assuming x is positive.\nAnswer: x**(-56307\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0.8. Let l = c - 2.6. Let a = -61\/168 + 5\/21. What is the smallest value in a, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 321*s - 189. Let k(t) = 113*t - 63. What is -6*h(i) + 17*k(i)?\nAnswer: -5*i + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 67\/4?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 1. Let a(q) = -4*q**2 - q + 1. Let d be (8 + -9)*2\/2. Let l(o) = d*b(o) - a(o). Let p(x) = x**2. Determine l(p(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 + -7633820114?\nAnswer: -7633820113.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*d + 22*d + 139*d - 33614 = 107*d for d.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v + 50. Suppose 3*l - v = -5*p, 2*p = 4*p - l - 10. Suppose -p - 51 = -4*g. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234 + 1635\/7. What is the closest to 2 in i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - 5*i - 7. Let n(a) = -5*a**2 + 5*a + 7. Let t(y) = -7*n(y) - 6*w(y). What is t(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5160, -10698, -16238, -21780, -27324?\n\"Answer: -u**2 - 5535*u + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 61*p. Let f(s) = 56*s - 112*s + 55*s. Calculate f(k(q)).\nAnswer: -61*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + sqrt(80) + (sqrt(80) + -4 - sqrt(80)) + sqrt(80) + sqrt(80))**2.\nAnswer: 24*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1, 1\/4, -3, -36?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165122*x + 201559*x - 140466*x + 113071*x.\nAnswer: 339286*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*i - 41, 2*i - 5*i = -2*b + 13. Let m(q) = q + 4. Let a be m(i). Let u(t) = 2*t**2 - t - 2. Is u(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*n - 20280 = -308*n - 909*n - 479*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9179729?\nAnswer: 13, 706133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g - 2*g + 9*g**3)*(-10 + 10 + 10*g**2).\nAnswer: 90*g**5 - 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18506, -74021, -166546, -296081?\n\"Answer: -18505*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) -0.1 (c) -0.06 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68603, -70598, -72599, -74606?\nAnswer: -76619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -182*k + 14439. Calculate q(76).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 4, -5, 2 in decreasing order.\nAnswer: 4, 2, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 466 and -14.529?\nAnswer: -6770.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**3*i**3 + 4565*f**3 - 2*f**2*p + 156*f*i**3*p + 3*f*i**2 - 9 wrt f.\nAnswer: -30*f*i**3 + 27390*f - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, s: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4331*q + 32732 = 5500*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.92 times -9294?\nAnswer: -120078.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -16, -28, -44, -64, -88, -116?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 43928499904.\nAnswer: 43928499909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*h + 8 + 679*h**2 - 677*h**2 + 6 wrt h?\nAnswer: 4*h - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/6 + (-4)\/6. Suppose 0 = 4*h + 4 - 0. Let g = h + v. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 29 + 77 = 0. Suppose -11*t = -q*t + 10. Determine b so that 0 - 1\/2*b + 1\/2*b**t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -279, -270, -261?\n\"Answer: 9*i - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - n = 389024, 2*q = -n + 2*n + 778051. Suppose -z = q + 220973. Round z to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/6 - 1603*v**2. Let d(u) = 2*u. Calculate 7*d(j) - 4*g(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 47*t - 136. What are the prime factors of i(28)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 28 (c) 1\/3 (d) 3.7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/6)\/8)\/((-14)\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053931844 rounded to 6 dps?\nAnswer: 0.000539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - z - 16 = 0, 0 = 2*t + 5*z + 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 341, 679, 997, 1289, 1549, 1771, 1949?\n\"Answer: -o**3 - 4*o**2 + 357*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920981197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.9 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.095\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2. Let l(k) = 3*k**2 + 5*k - 5. Let f = -10 - -2. Let z(a) = -5*a**2 - 8*a + 8. Let g(o) = f*l(o) - 5*z(o). Determine s(g(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(1767 - 42*p - 1767) - 5*p - 5*p + 2*p.\nAnswer: 76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1256580 and 4680.\nAnswer: 2513160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0 + 0)*(-2078 + 2087 - 9*m - 13*m) as s*m**2 + t*m + q and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1308 or 346\/3?\nAnswer: 346\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -7\/17, -1, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5 - -4e?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61599783\/655490 - 65432\/649. Let c = q + -46\/101. What is the common denominator of c and 8\/3*42\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5*29\/((-580)\/(-3528)) and 126?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256483*g*t**3*z**3 + g*t*z**3 - 3*g*t*z**2 + 2*t**3*z**3 + 2*t**2*z**3 - 20*t**2*z**2 + t**2 + 11*z wrt t.\nAnswer: 1538898*g*z**3 + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 542.5 - 543. What is the nearest to 0.1 in 7.1, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -95. Let c = -103 - q. Let j = -31 - c. Which is greater: -2\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuukkuuuuuuuuuuuuuu. What is prob of picking 1 k and 1 u?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 204939 - 205084 - 2*r)*(4*r - 3*r + 2*r) to the form v*r**2 + x*r + n and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34733731.2509785 + -34733724. Let f = l - 0.0509065. Let i = f - 7.2. What is i rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 - 38*p**4 - 1114*p**3 + 6500*p**2 + 180825*p + 173250 = 0. What is p?\nAnswer: -15, -1, 14, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*9*(-3785)\/34065?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:00 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-483)*42\/98*14*(-42)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354 - -353.6. Sort 8, 0.2, 5, y in ascending order.\nAnswer: y, 0.2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24661 * 4588\nAnswer: -113144668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 383295422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 4*a**2 - 2*a - 7. What is the hundreds digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*a - 483 = -9*a, -2*a - 10 = 0. Let p = h + -118. Solve -20 + 0 = p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 110*m**2 + 5*m - 110.\nAnswer: -5*(m - 22)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 198053926 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 37*n**2 + 120*n - 1626. What is g(39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*w + 20*w**2 + 3*w**4 - 5*w**4 - 20*w**2 wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -209*q**2*z**3 + 6*q**2*z + 86919*q**2 - 9*q*z wrt z?\nAnswer: -627*q**2*z**2 + 6*q**2 - 9*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 2*f**2 - 4*f - 1. Let b be l(-3). Let x = -70 + 133. Suppose -b*y - 19 + x = 0. What is the least common multiple of y and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (-193)\/(-2))*(2 - 8).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741740000 rounded to the nearest one million?\nAnswer: 742000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 30*t**2 - 51*t + 18. Let i(y) = y**3 + 29*y**2 - 51*y + 21. Let l(c) = -3*i(c) + 2*x(c). Calculate l(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36*(-1)\/1*7\/14. Let b be (-14868002)\/f + -8 + 213\/27. What is b rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:53 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5150 and -49\/5923530.\nAnswer: 29617650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**4\/12 + 1080*v**2. Let c(s) = 3*s. Let o = -6 + 11. Let p(b) = o*l(b) + 3*c(b). Let h(w) = 4*w**2. What is p(h(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -33*v**4\/4 + 5*v**3\/2 + 3*v**2 + 4*v + 3. Let n(g) = 0. What is g?\nAnswer: -2\/11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from {b: 6, g: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141519 + -9500. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/(-133)*-70*(-39)\/(-12). Solve 0 = -46*x + 257 + s for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370982.\nAnswer: 2, 3, 17, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4601 and 19\/645.\nAnswer: 69015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:40 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + q - 341, 79 + 155 = 2*z + 4*q. Suppose -z = 3*r - 137. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {q: 1, n: 2, p: 2, h: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11323 = 6*i - 10859. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 633203?\nAnswer: 633202.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (37 + -24 - 14) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.000037 - 16. Round a to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395bb (base 12) to base 8\nAnswer: -231437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54333304 (base 6) in base 15?\nAnswer: 21d48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1482 + -983. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001095 rounded to six dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 354750?\nAnswer: -354764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 14*p**2 - 32*p + 6. Let s be j(16). Suppose 0 = -3*m + s, 9 + 75 = 2*c + 2*m. Let b = 45 - c. Let i(z) = 2*z + 3. Determine i(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5480563 + 93646?\nAnswer: 5574209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33751 to 3 decimal places.\nAnswer: -0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56407838 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 770, 762, 748, 728, 702?\n\"Answer: -3*c**2 + c + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(8 - 94*l - 17 + 9) in the form m + u*l and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302807.\nAnswer: 3, 11, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 bigger than 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.1819095 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/3, 1\/334, 1, -4\/3?\nAnswer: 1\/334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/5, -111, -5.2 in decreasing order.\nAnswer: 2\/5, -3, -5.2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -43. Suppose -3*l + 12 + 243 = 0. What is the highest common divisor of l and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 19 + (0 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 4*c**2 + 3*c + 3. Suppose -1551 = -22*d + 33*d. Let q = d + 146. Calculate k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 1.5 (c) -2\/3 (d) 4\/7 (e) -20\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, v: 1, c: 1}. What is prob of picking 4 w?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6 + 190*o**4 - 786*o**2 wrt o?\nAnswer: -240*o**3 + 4560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 97*q**2 + 1 - 1.\nAnswer: -3*q**3 - 97*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-4) - (0 - 0). Suppose 3*o - 10 + 0 = h, n*o = 3*h + 15. Suppose 2*l + o*l = 0. Put 4, l, -1 in increasing order.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -5325.4?\nAnswer: -5325.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(8) - sqrt(2))**2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-56.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-35) + 17\/(-35). Let i = -277\/3 + 92. Let z = 0.2 - 0.2. Which is the biggest value? (a) z (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39637.79 * 0.3\nAnswer: -11891.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9 + 7 + 2 + h. Let r(i) = -16*i. Calculate g(r(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 42. Let q(s) = 7*s**2 - 2*s + 1. Determine q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.2. Let k(w) = -w**2 - 5. Let j be k(0). Let u = 0.08 - -0.32. Which is the closest to s? (a) u (b) -2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -0.09.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c + 11 = 2*u, -5*u = -2*c - 26. Is u greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 65\/2, -4, -1, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1.7.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3906 + -1.3906. Which is the fifth biggest value? (a) 3\/5 (b) 3.2 (c) -1\/4 (d) g (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -6407?\nAnswer: 6407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -38 (b) 1\/5 (c) 2 (d) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 4 - 10*o + 2*o**2 + o**2 - 3*o**2. Let d be h(-10). Solve -15 = -7*a + d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.354 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-35 - 32 + 58)*(-3 - n + 3) + (1 - 2 - 1)*(3*n + 2*n - 3*n) + 3 - n - 3 + 3*n - n - 3*n + 31*n + 58 - 58)*(-2*n - 2 + 2).\nAnswer: -68*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/553, 4, -2, 2\/5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 12553, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4290628, 4290633, 4290642, 4290655, 4290672?\nAnswer: 4290693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-2*5\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*-6*sqrt(52)\/sqrt(4))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**3 + 8*d**2 + 3*d - 16. Let r(s) = 3*s**3 - 4*s**2 - s + 7. Let w(i) = 5*r(i) + 2*t(i). Give w(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 96 = 3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 102 = 28*m + 67 + 29 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 4, h: 3}. What is prob of sequence hh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*(-15)\/10. Suppose 4*w - 5*z - 21 = 0, -7*z = -3*w - 2*z + 22. What are the prime factors of (w + n - -3) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k + 3. Let j be s(-9). Find the common denominator of 151\/12 and (-776)\/j*3\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x**3 + 4*x**2 - 10*x + 5. Let w(z) = -24*z**3 + 6*z**2 - 14*z + 7. Let y(p) = -3*d(p) + 2*w(p). Calculate y(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13716, -13714, -13712, -13710?\n\"Answer: 2*p - 13718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2130 or 2128?\nAnswer: 2128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 66*q. Let p(n) = 904*n**2. Determine p(s(x)).\nAnswer: 3937824*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = s. Suppose -2*f + s*f = 0. Suppose -5*d + 17 + 13 = f. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518624 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005720971 to seven decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31556637*u**2 + 30397407?\nAnswer: -63113274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 100\/(-3*4\/(-708000)). What is q rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -23, -147, -9, 2.\nAnswer: -147, -23, -9, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) 4 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*x - 1, 0*x + 15 = -3*x - q. Let a(f) = -f**2 - f + 1. Let d(s) = 2*s**2 + 4*s - 6. Calculate x*a(g) - d(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 1 - (-150)\/10)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/((-10)\/(-15)). Suppose 5*q - 3*f - 10 = 0, -7*f + 4 = t*q - 2*f. Suppose -q*x + 42 = x. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - -16) + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480821 is divided by 148015?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286 and 55?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 2*l)*(-2897*l - 72*l**3 + 2897*l + (2*l**2 + 1 - 1)*(-7*l + 4*l + l) - l**3 - l**3 + 0*l**3).\nAnswer: 156*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -348 - -314.8. Let v = q - -33. Let s be (-4)\/(-22) - 32\/55. Which is the second biggest value? (a) -2 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*s + 191*s - 250 - 42. Let h(k) be the second derivative of 7*k**s + 0 + 21*k + 1\/6*k**3. What is h(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 34. Solve 5*x = b + l*b - 5, -9 = -3*x - 3*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/(z**(-4\/3)*z*z))*(z*z**3)\/z*(z**0*z)**(1\/8) assuming z is positive.\nAnswer: z**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*g + 11*g + 0*g = 10*g - 0*g + 9, -g = -6*h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 + 131. Let d(l) = -l + 18. Calculate the smallest common multiple of 36 and d(y).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 73*l. Let t(b) = 43746 + 8*b - 43746. Calculate t(d(s)).\nAnswer: -8*s**2 + 584*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458987*z - 458991*z + 917980*z + 75.\nAnswer: 2*z + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:23 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1557 - -1504 - (-145 + 2)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31624 - -1 - (168\/(-8) + 19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8138\/7 (b) 2864 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 13 = -c. Let b be (-6)\/(18\/(-219))*(-2 - -3). Let h = c + b. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 987631820102\/169 + -5843996909. Let x = 21642 + d. Calculate the common denominator of x and -2\/9.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218 - 215. Suppose 6*m = 4*k + k + 12339, a*k + 2050 = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1274 and -1651.511402?\nAnswer: 377.511402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -186 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3253*f**3 + 22*f**2 + 34*f + 13. Calculate y(-1).\nAnswer: -3252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 0\/(-5). Sort l, 0.2, 0 in decreasing order.\nAnswer: l, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-472 - -32313) + 4\/(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*c = -138, 0*y = -y + 5*c + 51. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36640487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**4\/24 - x**3\/6 + x**2. Let p be l(1). Is 5 a factor of -1*(-10)\/(p - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -459 + 2194. Suppose 0*g = 5*g + 5*z - f, -z = 4*g - 1394. What are the prime factors of g?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 15 - 21*w**2 - 30*w**2 in the form x*w + i + y*w**2 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/12 + 25*i**4\/4 - 375*i**3\/2 - 2*i**2 + 18*i. Factor l(w).\nAnswer: -5*(w - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035 = -192*v + 1461 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144640169 divided by -3749?\nAnswer: 38581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -7*v + 2. Suppose y - 3*l - 15 = 4*y, 2*y - v = 4*l. Let a be y - (-5)\/((-5)\/(-3)). Solve 5*m + 0 - 5 = a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**2 + 22*r + 183. Suppose 0*v = v - 11. Let b be u(v). Which is bigger: -1\/9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -39. Let q = 27 + -23. Solve 5*p + f = -3*t, q*t + 2*p + 8 = -p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.36106 + -0.13894. Put 0, t, 0.5 in increasing order.\nAnswer: t, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077568 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*h + 22 - 114 = 0, -2*n + 4*h = 102. Suppose -957 - 828 = -35*b. Let p = b + n. Calculate the greatest common factor of p and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5217924 or 80?\nAnswer: -5217924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-870)\/(-12)*9*30\/675)\/1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-458 - -436) + (-3 - -43)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56196688657 and -0.067.\nAnswer: -56196688657.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17249321.25 seconds to weeks.\nAnswer: 28.520703125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*d = 4*n + 14, 5337 = -2*n + 5331 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -281d5 - -74?\nAnswer: -28161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1188\/41 - 25741\/287. Let a(o) = 2*o + 25. Let b be a(18). Let d = u + b. What is the closest to d in 0.3, 1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) -5 (c) 4 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 20. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9 + (-5)\/(-3). Let u = 1 + a. Suppose i - 38 = -3*i + 5*x, 0 = x - u. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/9, 3, 0.05282?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/4 - 2*a. Let t(p) = 9*p**2 - 6. Let z(v) = -v**2 + 1. Let b(r) = t(r) + 6*z(r). What is b(s(d))?\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1 - 0)*16\/48. Suppose 5*m - 395 = -5*f, n*m = -2*m + 4*f + 134. Suppose -3*c = -8*c + m. Solve 0 = -t + 4*t + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -51, 0 in decreasing order.\nAnswer: 5, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -6)*45\/(-2). Let c = 69 + w. Suppose 3*r - 10 = 5, -5*z - 5*r = -55. What is the smallest common multiple of z and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1890\/(-495)*(-330)\/(-45).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 20. Let a(u) = -8*u**3 - 5*u + 4. Let d(t) = -17*t**3 - 10*t + 9. Let p(s) = r*d(s) - 9*a(s). Find the second derivative of p(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -138150.08 and -0.0791583.\nAnswer: -138150.1591583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/6*(36\/45)\/(126\/(-525))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 179*i**2 - 7*i + 8. Suppose -4*t = -3*t - 5*s + 4, s - 3 = -2*t. List the prime factors of q(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1245*m**3 + 2506*m**3 - 4*m - 4 - 1255*m**3 - 3*m**2 as f*m**2 + j*m**3 + q + i*m and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6677 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10930245 is divided by 3679?\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.82 - -2.28. Let n = 3.72 + b. Is -1 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 7 = 369*a - 365*a, -5*s - 40 = -5*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/7 - -1. Let o(k) = -4*k**2 - 3*k + 2. Let t be o(1). Let j be ((-1)\/t)\/((-1)\/1). Which is the closest to 0? (a) -5 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3\/7, 0.4, 15 in decreasing order.\nAnswer: 15, 3\/7, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70507869972209 - 0.1.\nAnswer: -70507869972209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbrbbbrrrrb. Give prob of picking 2 r and 1 b.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2123001 - -1210?\nAnswer: -2121241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 43*g**2 - g - 2. What is the units digit of n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j + 129*j = -4*f - 43, 0 = -5*j + 35 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*a - 2, 489*u + 14 = -a + 484*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 6. Suppose 5*k = 5 + 5. Suppose -k*i + 32 = c. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - (-8 - (9 - 27 - ((-12 - 11) + 10)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = -4. Let q be -10*2*4\/(-5). Calculate the highest common divisor of b and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 84 = 20*q. Solve 3*z = z + 5*y + 1, 0 = -4*y - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4\/11 (b) -0.281 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 + 13856*j\/5 - 68780.\nAnswer: -4*(j - 3439)*(j - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:29 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 divided by 21308?\nAnswer: 139\/10654","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 199*c + 4047. Give k(-71).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -11. Suppose 3*i + 10 - 121 = g. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -166*r**2 + 5*r + 93. Let i(q) = -82*q**2 + 2*q + 46. Let d(p) = -5*i(p) + 2*y(p). Find the first derivative of d(l) wrt l.\nAnswer: 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 11:31 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/5 - 7*g**2\/5 - 2*g\/5.\nAnswer: -g*(g + 2)*(3*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000279 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30278, -59805, -89332?\nAnswer: -118859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 109 = -4*z - 107, -5*z = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t - 133*t = 243*t + 38 - 3888 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 120222202 (base 4) to base 6\nAnswer: 2055414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 637*g + 40934. Calculate j(51).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1785 and -0.858.\nAnswer: 1531.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18589 + -32813. Let f = x - -9354. Is 1\/((-5)\/f*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -65. Suppose -12 = -4*p - 4*h, 3*h + 2*h = 15. Suppose -i - 1 = -p*z + 4*z, z = -q*i - 2. Let s(n) = -n**2 + 9. Give s(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -7 - -4 - (15 - 18) - 11 - 85.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8.03. Let f = -0.03 + w. Is -2 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 340618236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 9. Let s be u(-6). Let z = 19 - 7. Suppose z = 2*l + s*j - 39, 3*l - 67 = 5*j. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) - ((sqrt(192)*2 - sqrt(192))**2 + 4).\nAnswer: -196 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 0.1, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 3:49 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5342800 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 10}. What is prob of picking 2 q and 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8584*g - 437*g**2 + 8573*g - 25726*g + 8569*g + 436*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 17914.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((16\/14)\/4)\/(-2 + 3). Let j be (-10)\/15*(-3)\/5. What is the nearest to -2 in j, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f - 4. Let u be x(0). Let z be (75\/18 - 4)\/(u\/(-18)). Let k = 313 - 314. Which is the third biggest value? (a) z (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/308 and 19\/35793765?\nAnswer: 1574925660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7204192 years to millennia.\nAnswer: 0.0007204192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/((-106)\/(-2226))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1502 = -v, 9 = -v + 4*v. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (-90)\/22) + -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/35 + (-10918)\/(-742)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49091.9798 rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - -2) + 218\/84 and 109\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:49 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 2 (c) 0 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 2, i: 4, t: 1, o: 2, e: 2}. What is prob of picking 1 a, 1 o, 1 e, and 1 i?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1187, 1196, 1205?\n\"Answer: 9*l + 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84684 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (1729\/28)\/((-5)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**3 - 4*h + 8. Give o(-3).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and 145\/248856?\nAnswer: 248856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 33*d**2 + 6*d + 58. Let m be n(33). Let z = 271 - m. Solve -w - 2*u = u + 10, z = 4*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28784031689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/3 - -1) + 1. Let n be ((-1)\/3)\/(u\/(-27)). Solve -2*f = -n*t - 8, -5*f - 4*t + 3 = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -345\/7. Let l = 3 + 0. What is the nearest to c in l, 5, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/10680 and 51\/32.\nAnswer: 42720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*v + 2*u + 1, 2*v + u + 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2473.6 - 0.5\nAnswer: 2473.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -201200 (base 3) in base 14?\nAnswer: -29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(3\/(-3) + 0). Suppose -3*b = -3*x + d, 0 = -5*x - b - 5 + 18. Suppose -2*r + x*r = 113. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15441 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 406178141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Suppose 2*h - 4 = m*k, h + k = -0*k + 12. Let s be 6\/h + (-11)\/(-44). Solve 3*q = 4 - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 3, 5 in increasing order.\nAnswer: 3, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 - 9*t + 2. Let h = -7 + 7. Suppose h = -6*m + 3*m - 27. Let u be a(m). Solve -r - u*o + 2 = -3*o, 0 = -3*r + o + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253460 * 0.04.\nAnswer: -10138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -314 (base 12) to base 11\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-665)\/(-150))\/(-19)*16\/(-28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 10 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from rrrb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 456301240 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76980260 divided by 4.\nAnswer: 19245065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 0 + 2 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 291.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1441 - 63*b + 68*b + 549 in the form v*b + k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i - 7. Let g(s) = -3*s - 2. Suppose 5*r + 5 = 4*r. Let p = r - 2. Let m(d) = p*g(d) + 2*t(d). Let j(o) = 3*o. Calculate m(j(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-39))\/(-3))\/((-12)\/((-96)\/(-8)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011350 (base 6) in base 16?\nAnswer: 172f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2525 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 - 11*t**2 + 95*t + 11. Let w(u) = -3*u**3 - 6*u**2 + 47*u + 6. Let h(c) = 6*g(c) - 11*w(c). Find the second derivative of h(j) wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -8)\/(2\/(-14)). Suppose 9 = n + x. Solve 4*i + n = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:52 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39 + 80 - 14*s**5 - 19*s**2 - 41 wrt s.\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 12*n**2 + 10*n + 39. Let o be m(13). Factor -144*d + 200*d**2 + 20*d**4 - 108*d**3 + o*d**3 + 30 + 2.\nAnswer: 4*(d - 2)**2*(d - 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o + 3*p + 11779 = 0, -3*o = 5*p - 35323. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204.35 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2018*r + 2010*r - 4011*r + 2*r**2.\nAnswer: 2*r**2 + 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k - 9. Is b(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 19. Calculate the remainder when 16 - -41 - 7*4\/14 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8924 + -0.029783151.\nAnswer: -8924.029783151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 354168 divided by -4\nAnswer: -88542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 3. Let o be v(-4). Let s = o - 3. Suppose -h - 2 = 3*f, 3*f = 4*h + 3 + 5. Solve 2*t - 4 = s*w - f*t, 5 = -3*w + 2*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420420510 (base 6) in base 7?\nAnswer: -116103264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -17. Let s be (-24)\/9*d\/6. Solve s*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 25. Let v = 17.9963 + x. Round v to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9000 by 450.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.2*0.34\nAnswer: -1.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:39 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*p = -5*o + 398*p + 85, -2*o + 3*p = -29. Solve -9*z + o = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/180 and 109\/5570762?\nAnswer: 501368580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0*a**2 - 6*a - 5 - 21\/4*a**5 + 3\/2*a**6 - 5*a**3 - 5\/42*a**7 + 95\/12*a**4. Factor v(b).\nAnswer: -5*b*(b - 6)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 10*j**3 - 4*j**3 + 25*j**3 - 2 + 2*j - 2 to the form k + f*j**2 + x*j + w*j**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2568, 5128, 7686, 10242?\n\"Answer: -q**2 + 2563*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 4*j - 6. Determine b(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2191920834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 0 - (sqrt(1539) + 0)**2 - (sqrt(19) + sqrt(19) + sqrt(76) + 2 + (3 + sqrt(475))**2 + sqrt(19)).\nAnswer: -2025 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2610))\/((-2)\/(-8)). Let g = l - -8269\/870. Calculate the common denominator of g and (30\/8)\/(9\/(-56)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let h = 29836\/35 + -5032\/7. Let m = -134 + h. Which is the second biggest value? (a) m (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 86\/18 + (-12)\/(-54). Determine x, given that -3*x**3 - 6*x**4 - 3 - 3*x**f + 12*x**2 - x**3 + 10*x**3 - 3*x - 3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/14 - 0)*3\/20\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -0.5, 0, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = -25. Let a(k) = 306301*k + 7. Let d be a(b). Suppose 3*j - 448488 = d. Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.9995 - -16. Round d to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41710 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -39 + -2 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 2\/163, -7, -0.1, -2?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y)**(-10)*(y*y**7)**(-5) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 100 + 112 = 0. Suppose 5*j = -2*a + 34, 27 = 3*j - q*a - 6. Solve 0 = -5*f + j - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/38000 and 17\/24700?\nAnswer: 494000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 8*c + 1. Give q(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = w, 74974 = l - 4*w. Let x be 4 + -4 + l\/13468. Let m = x - -36\/481. Calculate the common denominator of m and -11\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 2. Let r(s) = s**2 + 2*s + 2. Let u be r(-3). What is h(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9650173 != -9650174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-24)\/144) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 + 21*a**2 + 34*a + 12*a + 10*a**3 - 22*a**2 + 8*a - 35*a**2 - 27 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 33*t**2 - 874*t + 2205. Calculate j(-51).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - 1330?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -66*l + 325. Give a(7).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605820484?\nAnswer: 2, 97, 1561393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23715914 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5818*k**2 + 17370*k wrt k?\nAnswer: 11636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -5*w**3\/6 - 46*w. Let j(z) = 7*z**2. Determine g(j(s)).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 478514 and 6006422.\nAnswer: 7142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -1\/160*w**6 - 1\/80*w**5 + 0*w**3 + 1\/16*w**4 + 0*w + 4*w**2 + 0. Suppose p(f) = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11449 and 367946.\nAnswer: 367946.11449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 1515718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 17, 5 in increasing order.\nAnswer: 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 1, 7 in descending order.\nAnswer: 7, 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a - 5*r - 18, -2*a + 16 = -4*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 less than or equal to 280346\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -76 times 0.233\nAnswer: -17.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5816 and 64?\nAnswer: -372224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.247 - 0.457. Let d = 80 - 80.195. Let y = d - f. Round y to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffyufyffyvmmfv. What is prob of sequence fvfu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {u: 1, n: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 482 + 486 + 490 - 1937 + 479.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 100\/(-1500)*(-1 - (-25)\/(-6)) and -151\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0*n + n + 2*n - n + 0*n - n + n - 2*n + (3 - 1 + 0)*(0*n - n - n))*(-1514*n - 80*n**2 + 1514*n).\nAnswer: 640*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**5 + 257*i**2 + 97*i - 8?\nAnswer: -120*i**3 + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d0 (base 16) in base 6?\nAnswer: -12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)*((-4)\/3 + 1). Suppose r = -0*r + 12. Calculate the lowest common multiple of 3 and r - (x + 3 + -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {h: 1, p: 2, i: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 5*n**2 + 4*n + 1. Determine a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -7 + -12 - -21.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111100100 (base 2) in base 8?\nAnswer: -3744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -61) + (0 + -4 - (57 - 63) - -9).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffv when four letters picked without replacement from ofovffoo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 30*s + 365. Give t(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 172. Suppose t - r = -t + 5*v, -v = 3. Calculate the greatest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42304 - 6?\nAnswer: -42311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/12*1\/2*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4*3\/(-24)*14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00762694 and 54.\nAnswer: -0.41185476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1425431*r = 1425469*r + 684 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1225 and 29\/18322150.\nAnswer: 128255050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612238 = -27*s + 61*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1224015?\nAnswer: 1224021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 4*g + g. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2))**22)**(40\/3))**(-1\/5) assuming b is positive.\nAnswer: b**(352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*g = 45, 21*q - 240 = 5*q - g for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - ((38 - 73) + -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, a: 1, r: 2}. What is prob of sequence xa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 + -152. Find t such that -4\/3*t**b + 0*t + 10\/3*t**4 + 0*t**2 + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 - 506 - (-3884)\/194?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/28 - 174\/(-232). Sort -0.1, 5\/4, a in descending order.\nAnswer: 5\/4, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -152 (b) -0.9 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 109000.\nAnswer: 981000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q + q)*(1 - 3 + 0)*(q + 3*q - q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -32066868.\nAnswer: -1\/16033434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m**2 + 10*m**2 - 2*m**2 + 5*m**2 - 21 wrt m.\nAnswer: 40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -13*b**7\/840 + b**6\/720 + b**5\/30 + 2*b**2. Let h(l) be the third derivative of n(l). Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29677 is divided by 86.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2556, 0.4.\nAnswer: -2, 0.2556, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 22. Let k be n(-8). Let x = 16 + k. Let l = 2 + -2. Solve l = -6*f + x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*d + 30, 2 = 2*z + d - 46. Let c(y) = -109*y - 346. Let s be c(-6). What is the greatest common factor of z and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/2, 1\/3, 3 in ascending order.\nAnswer: -2\/7, 1\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 988859534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11802839.14 rounded to the nearest 10000?\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1731134567 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*-5)\/(sqrt(45)\/sqrt(5)*-3 + sqrt(9)).\nAnswer: 25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8884)\/(-11105))\/((-3)\/6 + (-2)\/((-4)\/5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 19*u**2. Suppose 173 = 5*l - 3*z, 6*l + 4*z - 90 = 4*l. Let i = -30 + l. Let a(h) = -11 + 4 + i + h. What is n(a(q))?\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(-4*-1*sqrt(4) - sqrt(4) - sqrt(4) - sqrt(4)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-12)\/(-21) - (-468)\/(-182). Let s be (-14)\/(-12) + 2\/(-3). Which is the biggest value? (a) v (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1653 = 5*r - 987. Let d be r\/136 - (-2)\/17. Put -3, d, 0 in increasing order.\nAnswer: -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 9*u**2 + 4*u + 31. Let g be m(-9). Let x be (g - -2) + (-2 + 5 - 0). Is 2 + (1846 - 1) + 0 + x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42218 by 2.\nAnswer: -21109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.94 and 5514.015997905?\nAnswer: 5513.075997905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20104 and 8288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p - 10. Suppose -o + 1 = v, o + p*o - 7 = -v. Is -2 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -18. Does s = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -14 + 4. Let d be (5\/n)\/(-5)*6. Suppose 2*a + 3*h + 7 = 0, -3*h + 0 = d*a + 3. What is the highest common divisor of 28 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -84*o**2 - 110*o + 1. Let v(k) = 83*k**2 + 111*k - 1. Let x(i) = -3*f(i) - 4*v(i). Find the second derivative of x(a) wrt a.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327853 - -365?\nAnswer: 328328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a factor of 10018107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0280398 millilitres to litres.\nAnswer: 0.0000280398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596290 divided by 14805?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16*k**3 - 9*k**2 + 5*k + 361. Let u(h) = 7*h**3 - 4*h**2 + 2*h + 180. What is -2*n(f) + 5*u(f)?\nAnswer: 3*f**3 - 2*f**2 + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.3 (c) 2 (d) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258576697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1939 - -11729\/6. Find the common denominator of -40 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1008) - (sqrt(1008) + sqrt(1008)*-2)) - sqrt(1008))*5)\/(((sqrt(576) - (sqrt(576) + -1*sqrt(576)))\/sqrt(12))\/(sqrt(12) - sqrt(12)*-2*-6)).\nAnswer: -3630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*p**2 + 5*p - 2*p - 3*p + 205*p**2 + 167*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:35 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 62927?\nAnswer: 62927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 5}. What is prob of sequence xuu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 104. Suppose d = -11*x - 45. Let a(o) = -2*o - 8. What is a(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-95)\/15*2*(-3)\/(-6) and 65\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 + 1001200?\nAnswer: 1003302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x - 40, -48*p = -49*p + 5*x + 8 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 6820.8.\nAnswer: 6818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6169 - 55583\/9. Which is bigger: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkmdxg. Give prob of sequence dm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -69*v + 11801 + 9924. What is the remainder when v is divided by 387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + 8*k + 4. Let n(r) = -6*r**3 + 6*r**2 + 41*r + 21. Let j(u) = -2*n(u) + 11*p(u). Calculate the remainder when j(3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 4 - m**3 + m**2 + m - 6*m**2. Determine q(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 43. Suppose 0 = 5*k + q - 5*q - 6453, v = q - 3. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -146, -1316, -4574, -10964, -21530?\n\"Answer: -174*m**3 + 48*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/5)*n**(3\/7))\/(n\/(((n**1*n*n)\/n)\/n*n))**(-9))**(-18))**30 assuming n is positive.\nAnswer: n**(27108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 + 157.9917. What is g rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6656372 or -6656371?\nAnswer: -6656372","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 2401 = -23163. List the prime factors of s.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 180*t**2 + 416*t - 9475. Determine u(182).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let j(m) = 4*m - 32. Let q(k) = j(k) + 3*x(k). What is the units digit of q(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -472 + -13?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10780 - 3994. What is p rounded to the nearest 100?\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 - 2 + 18*h**2 - 20*h**2 + 246*h**3.\nAnswer: 246*h**3 - 2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 29100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 2*u - 5*u)*(-8 + 5 + 14) + (-5*u + 3*u + u)*(-4 + 5 + 4)*(5 + 4 - 6).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2\/9, -3\/8, -1.6, -99?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/12)\/(2\/(-6)). Let n = -2 - -5. Suppose -m + n = -v. Solve -10 = m*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose -11*y - 33 - 44 = 0. Let g be 1 + 12\/(-4 - y). Put k, g, -5 in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let n = -6 + 17. Let t = n + -6. Which is the third smallest value? (a) -0.5 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9)\/(4*24\/64)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 173, 265, 355, 443, 529?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.1 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8319 - -13601. List the prime factors of y.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 239460.8ml?\nAnswer: 239.4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3))**(5\/18)\/(w**2)**(2\/23))**(-10\/19) assuming w is positive.\nAnswer: w**(695\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*v - 10, -m + 3*v + 5 = 4*v. Let d = 4 - m. Suppose -5*q = -d*q + 5. Sort -3, q, -1 in decreasing order.\nAnswer: -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 - 62. Calculate the remainder when v is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14417883*i**3 + 19*i**2 - 150811?\nAnswer: 86507298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:10 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 - -142. Let k(n) = 6*n**2 + 6. Let j(z) be the third derivative of -z**5\/12 - 5*z**3\/6 - 3*z**2. What is l*k(x) - 4*j(x)?\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 37. Solve -3*h + 3 - 6 = g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 - 0.07. Let i = -3.6 - -4. Let r(h) = -2*h + 2. Let l be r(2). Which is the closest to -1? (a) z (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2029213*c**2*s**4 + 2*c**2*s**2 + 9*c**2*s + 7*c**2 + 423*s wrt s?\nAnswer: 24350556*c**2*s**2 + 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -356?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95.6 - -102.6. Which is the nearest to z? (a) 1\/7 (b) 1 (c) 5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*p - 3*p + 2*g, p - 27 = -3*g. Let i be -11*(-1 + 2)\/(-1). Let n = p - i. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24599*w**3 - 99*w + 99*w.\nAnswer: 24599*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26153 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-7) - (-4142)\/2289?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -64 + r**3 + 8*r - 3*r**2 - 62 + 131. What is the tens digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3391 * 4.\nAnswer: -13564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.032 + 0.032. What is the closest to f in 3, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 19*a + 15. What is the remainder when 16243\/222 + 0 + (-1)\/6 is divided by l(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.9621 - -20.159. Let c = 3.8 + v. Round c to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -63.645. Let s = l - 0.35500173. Round s to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - c + 3. Let u be x(2). Solve -2 = 7*q - u*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10. Suppose -4*v + x + 233604 = t, -4 - 12 = 4*x. Let o be v\/35*(-872 + -3). What is o rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 118, 199, 280?\n\"Answer: 81*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -228, -767, -1668, -2931, -4556?\n\"Answer: -181*o**2 + 4*o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -46. Let b be k + (-1)\/((-2)\/(-4)). Suppose -3*i = 4*m - 0*m - 12, -3*m = -5*i + 20. Solve 4 = 2*y + i*f, 3*f + 2*f - b = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2301 (base 4) to base 12\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-518)\/(-37) - (-1)\/((-3)\/36))\/32?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 5. Give u(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 576 and -206067126.\nAnswer: -206066550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 89185.\nAnswer: 89185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 547, 2159, 4839, 8581, 13379?\nAnswer: 19227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 7*b - 3. Let f be z(-6). Let y(s) be the first derivative of -1\/5*s**5 + s - 1\/2*s**4 + s**2 - 2 + 0*s**f. Factor y(c).\nAnswer: -(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 75. Suppose 0 = 2*o - k + 5. Suppose -o*l + 25 = 5. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.672711 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7680 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46784847*a**3*s**2 + 4*a**3*s - 100*a**3 + 4*a**2*s + a*s - 2300 wrt s.\nAnswer: 93569694*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1739 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19388 + -207965630.\nAnswer: -207946242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**7\/168 + a**5\/24 + 2*a**3\/3 - 5. Let d(k) be the third derivative of g(k). Determine l so that d(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2 + (-2)\/(-4). Suppose y*r = -0 + 6. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 + -2) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 126870?\nAnswer: 126870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.5. Let q = -2051 + 2051. Which is the closest to -3? (a) -5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 - 1)*(-8 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 77.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113392848 divided by 3.\nAnswer: -37797616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 1:34 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5 + 16*j + 8*j + 83 - 1. What are the prime factors of g(3)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*g - 3*w - w, 7*g - 3*w = 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - 2*z - 5. Let o be x(-4). Suppose o*d - 2 = 2*d. Suppose -15 = -d*l - l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -x - 1552, -4629 = 12*x - 9*x - 3*g. Are x and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m*m*m\/(m*m**(-2\/7))))\/m)**16\/((m\/m**(-2))\/(m\/(m**(-1\/4)*m))))**(5\/4) assuming m is positive.\nAnswer: m**(-3265\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28385288 is divided by 704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 30 - 150. Let w = -181661\/33363 - -2\/3707. Find the common denominator of w and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 61\/4 - (-6)\/(-24). Suppose -4*p + 9 = j, -5 - v = 5*p - 5*j. Which is the closest to -1? (a) 3\/5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128 + 221 + 174 - 2065*p + 350 + 1 with respect to p.\nAnswer: -2065","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/(-6) + -15)*(-2 - -1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 26*b**2 - 72*b - 448. What is s(29)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -238, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2071, 2168, 9233, 19124, 31841, 47384?\nAnswer: 65753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6437\/2358 - 133\/262. Calculate the common denominator of ((-146)\/72)\/(1\/3) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2735479500157 + 0.4\nAnswer: -2735479500156.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l. Suppose -x + 4 + l = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-2\/3)*(i*i**(-2)*i)\/i*i)\/(i**(-5)*i**(-2\/5))*((i**(-2)*i)**(-30))**20 assuming i is positive.\nAnswer: i**(9121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 7. Suppose -3*c = v - 0*c - 33, 3*c = v - 21. Let a = v - 26. Put a, x, 3 in descending order.\nAnswer: 3, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 16*h + 19. Let y be x(15). What is the common denominator of ((-296)\/(-16))\/((-18)\/y) and 19\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**6\/540 - 11*u**5\/45 - 121*u**4\/9 - 4*u**3\/3 - 10*u - 31. Let j(t) be the third derivative of i(t). Factor j(a).\nAnswer: -2*(a + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34183.8 and 0.14?\nAnswer: -4785.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 95 - 137 - (2 - 42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -4, 153, 7, 1, 8.\nAnswer: -65, -4, 1, 7, 8, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 - 2*w. Let t(r) = 7*r**2 - r - 1. Let s(h) = 5*q(h) - 6*t(h). Suppose s(y) = 0. What is y?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(22*s - 7*s + 14*s).\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -530912 divided by 9\nAnswer: -530912\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6684341 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, h: 4, i: 1}. Give prob of picking 3 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 + 0*v**4 - 2*v**5)*(55 - 23 - 71) + 1701*v**3 - 1701*v**3 - 35*v**5.\nAnswer: 43*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(7 + -6)*0. Let h = 3 - 0. Solve 2*a - j - 3 = 0, -h*j = -4*a - c*j + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 5. Let v(r) = -3*r - 5*r - 19 + 2*r + 3. Give 7*p(g) + 2*v(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**2 + 59*f + 8. Let m(l) = l**2 + 3*l + 2. Let k(b) = -26*m(b) + 2*u(b). Factor k(o).\nAnswer: -4*(o - 9)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103 - -47) + 49 + -22 + -2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1587*i**2 - 9*i. Let l be o(3). Suppose l = 32*j + j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)\/g*g)**(-5))**(3\/11) assuming g is positive.\nAnswer: g**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 152, 146, 138, 128, 116, 102?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 47*x**2 - 7282*x - 240. What is g(-112)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1090 + -5773\/5. Let k = z - -65. Which is the second biggest value? (a) 0.3 (b) 2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1033 and 74\/9?\nAnswer: 9297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/(-15) - 2\/(-6). Let y = -9 - j. Suppose -2*o + 2 = -y. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0 + -1)*0. Let w = -13 + 8. Suppose 2*m + 0*o - 4 = 2*o, -10 = m - 5*o. Put q, m, w in ascending order.\nAnswer: w, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (7 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y*y**(-7\/4)\/y*y*y))\/y)\/y**(-1\/4) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1210*w + 179048. Calculate y(148).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.3985 months to centuries.\nAnswer: 0.45699875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14464548 and 68229.\nAnswer: 14464548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:20 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + h + 14 + 0 = 0, 2*m - 11 = h. Suppose -m*s + 141 = 21. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36346 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474104 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -752255312 + 112086796169\/149. Let b = h + -5065. Is b not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + (-4)\/(80\/(-28)). Does 28 divide (f + 111)\/((-22)\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 54. Let q be k(-15). Let m be (15\/q - -2)\/2. Let s = 2.82 - -0.18. Which is the closest to -2? (a) s (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -2 - (197 - 195)) + (0 - 0)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -651\/20, -14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 1096433 - 163567. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258.9952 - 259. Round s to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -348 equal to -56897\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27035, 108130, 243293, 432530, 675847, 973250, 1324745, 1730338?\n\"Answer: c**3 + 27028*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 833104 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -0.1?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 + 0)*16\/(-48))\/43. Is 1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*j + n + 1, 5*j = -n + 16. Solve -3*b - 5*c = 0, -5*b - c - j + 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5570, 5568, 5564, 5558, 5550?\nAnswer: 5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7608620 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10*x**3\/11 + 28*x**2\/11 + 70*x\/11 - 8 = 0.\nAnswer: -11\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -56236024 (base 7) to base 3\nAnswer: -100011020120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.5 (b) 23 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let f(r) be the third derivative of 0*r + 1\/6*r**3 + 0 - 1\/30*r**5 + 2*r**2 - 1\/8*r**4. Calculate f(a) + s(a).\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/9, 2\/21, -0.1, 65, 2, -15.454?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - 150. Sort 3, q, 2, -3 in increasing order.\nAnswer: -3, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + u)*(u - 1 + 1) - 2*u + 754 - 2*u**2 - 754.\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 119*v**2 + 47*v - 716. Calculate w(-59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-5)\/(-30)). Suppose f*m - m = 8. What is the highest common divisor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 36 = -3*w. Suppose 5*z = -2*l + 33, -5*z = 4*l - 5*l - 6. Calculate the greatest common divisor of l and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 3\/4 (b) -0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -466, -122, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -2 (b) 0.5 (c) -0.2 (d) 0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 + 274*i**4 - 11950*i**3 + 185630*i**2 - 597888*i + 423936 = 0. What is i?\nAnswer: 1, 3, 32, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -13*c**3\/6 + c**2 + 181*c + 3. Let s(x) = 13*x - 2. Determine -6*s(u) - 5*y(u).\nAnswer: -13*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -33, -63, -97, -135?\n\"Answer: -2*u**2 - 20*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 9*m**2 + 4*m - 8. Let o(y) = -2*y**3 - 18*y**2 - 7*y + 16. Let f(u) = 3*o(u) + 7*t(u). Let b be f(-8). Solve b = -6*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*h + 18 = 0, 3*a + 3*h = h - 16. Let z be a\/(-4)*(-2)\/(-4). Let b(v) = v**3 + 8*v**2 + 11*v - 6. Let x be b(-6). Are z and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvvttttwtvtvvwvttv. What is prob of sequence vwvt?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.64 + 2.9. Let r = 2.16 - 2. Let q = r - x. What is the nearest to q in -0.3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 i when four letters picked without replacement from {t: 2, i: 2, x: 2, q: 2, a: 9}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -151*s + 12440. Calculate m(101).\nAnswer: -2811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-5 + 3 + -3. Let t(v) = v**2 + 2*v - 12. Let j be t(a). Solve j*i = 2*c + 3, -4*i + c + 8 = -9*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - q + 5 = 0, -376*q + 5 = -3*g - 375*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 5716*l**3 - 17272*l**2 + 125920*l + 137472 = 0.\nAnswer: -6, -1, 4, 1432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5404 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 20. Suppose 0 = -x*w - 114 - 34. Let l = w - -49. Calculate the least common multiple of 20 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:43 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 30*l + h = -2042, 0 = -3*l - 2*h + 1526. Calculate the smallest common multiple of 318 and l.\nAnswer: 27030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510 divided by 10\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 425 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**2 + 0*b**5 + 0 + 1\/315*b**7 + 0*b**3 - 1\/180*b**6 + 0*b**4 + b. Let n(g) be the first derivative of q(g). Factor n(o).\nAnswer: 2*o**3*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - (-3)\/(18\/50).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/37 or -3?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**5\/4 + 77*d**4\/4 - 28055*d**3\/4 - 181229*d**2\/4 - 161799*d\/2 - 25560 = 0.\nAnswer: -80, -3, -2\/5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:27 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbglbogggghvvohbggh. What is prob of sequence bolg?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28722004*b**3 - 1531582*b**2 + 5*b.\nAnswer: -172332024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -66, -158, 39 in ascending order.\nAnswer: -158, -66, -4, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - (-1 - 4)) + 10)*(-17)\/34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 5*v + 7*v - v + 9*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 689291*f**3 - 5*f**2 + 435618*f - 1?\nAnswer: 4135746*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*a - 24 = 0, a - 11 = 76*n - 71*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 f, and 1 w when three letters picked without replacement from {j: 7, w: 4, c: 1, f: 2, m: 4, n: 2}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251 or 2001\/8?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230565549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6081051 take away -17544?\nAnswer: 6098595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 2*w + 108 = 0. Suppose 14*q = w*q + 840. Calculate the highest common factor of q and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 12*x - 21. Let k = x + 11. Solve 4*i = -4*d - 8, -2*i + k*i = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251*l**3 + l**2 - 513*l wrt l?\nAnswer: -1506*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2328 is divided by 188?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 285686 minus 1887?\nAnswer: 283799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 - -147. What is the units digit of (635 + -3)\/g + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 9}. Give prob of sequence jp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 558*m**3 - 29*m - 282*m**3 - 278*m**3 - 89*m**2 + 3*m to the form t*m + x*m**3 + y + o*m**2 and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-2 + 2 - j**3) + (-10 + 1 + 0)*(96*j**3 + 149*j**2 - 149*j**2) + 0*j**3 + 0*j**3 + j**3 to m + i*j**2 + f*j + p*j**3 and give p.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from uguuugzuzhtgu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-9) + (-2)\/3. Let q(u) be the first derivative of 263*u**3 - u**2\/2 - 4*u + 2. Let g be q(a). What is g rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**4 + 13 - 5 - 9 + 2*q + 1 - 3*q**2 + 2*q**3 in the form f + b*q**4 + g*q**3 + t*q + z*q**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 7. Let u = -114 - m. Let c = u - -54.41. What is c rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {e: 3, d: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2 (c) -130\/1029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13181*v*x**3 - 234*v*x**2 - 6*v - 4*x**3 + 11571631*x wrt x?\nAnswer: 79086*v*x - 468*v - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -2 in decreasing order.\nAnswer: -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4939055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -88*n - 10. Let i(j) = 175*j + 23. Calculate -9*f(a) - 4*i(a).\nAnswer: 92*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5*v**(2\/7)*(v**1)**(-3\/20) assuming v is positive.\nAnswer: v**(719\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgvq when four letters picked without replacement from {j: 2, q: 3, h: 4, r: 2, v: 3, g: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 10*w + 4*d = -44, 0 = -2*w + w + w - 51*d - 816 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 28 - 23*t**2 - 28 - 86*t**2.\nAnswer: -117*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2)*(o\/(o\/o**(-2\/7)))\/o)\/(o**0)**(-5\/2))**14 assuming o is positive.\nAnswer: o**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = b - 35, -11 + 169 = 5*b + 3*d. What is the remainder when 774 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, m: 4}. Give prob of sequence mmb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020121 (base 3) in base 9?\nAnswer: -2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -43, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577297519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 18*x + 10. Does 5 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1469188 and 2740?\nAnswer: 7345940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6599*q**3 - 101*q - 31 wrt q?\nAnswer: -39594*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/22 and -71\/63784126.\nAnswer: 701625386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1a9 (base 15) in base 3?\nAnswer: -2020201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 3*x - 3. Let l be 30\/(-9) + (-3)\/(-9). What is the tens digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234513 (base 6) in base 11?\nAnswer: -aa614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 656 - 113. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 144*u + 3*u**3 - 144*u - 88.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*j - 1750 - 86 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 7*r**2 + 36*r - 116. Let z be x(4). Solve -16 = -4*g - h, 15*g - z = 12*g + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + 4)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*x**2 - 2\/5*x + 12\/5 = 0. What is x?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*g = 442, 1 = -2*g + 3. Calculate the remainder when x is divided by (6\/(-18))\/(7\/(-315)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = 0. Let s(d) = -3*d**3 - d**2 + d + 25. Let z(y) = 10*y**3 + 3*y**2 - 3*y - 76. Let u(j) = 7*s(j) + 2*z(j). List the prime factors of u(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -291, 4, 2, -89 in decreasing order.\nAnswer: 4, 3, 2, -89, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 3.92, -39, 0 in descending order.\nAnswer: 3.92, 4\/7, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f - 5. Let y be v(-5). Let l be (-25)\/(-95)*(-1)\/y. Let z(s) = s**3 + 7*s**2 - 8*s. Let d be z(-8). Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2688888*g**2. Let r(x) = -20*x. Give w(r(p)).\nAnswer: -1075555200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(6)\/sqrt(3)*-1)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:47 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 114*a + 124. Let c(s) = -116*s - 124. Let l = 136 + -139. Let z(m) = l*c(m) - 4*q(m). What is the first derivative of z(f) wrt f?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-10)\/(-7) - 6\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/5))**31\/(r*r**(1\/39)*r**(-1\/53)))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = d + 7. Let g(s) = -8*s - s**2 - 2*s + 21*s - d*s. What is g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56 + -0.2\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + q + q)*(-5 + 1 + 6) - 11 + 11 - 4*q - 2*q - q + q)*(-1651*q**4 + 2*q**3 + 1635*q**4 - 3*q**3).\nAnswer: 64*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620330627 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 8*h - 4*h)*((-3 - 3 + 4)*(-h + 0*h + 5*h) + 2 - 2 + 3*h + (0*h + 0*h + h)*(-3 + 2 + 2)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 48. Calculate the remainder when 17 is divided by 3*1*(k\/(-6) + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from qkb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-8190)*15*(-77)\/66?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:57 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 15. Suppose 36 = 7*f - m*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -14 - (1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18947000*h**4 - 5854029*h?\nAnswer: 227364000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1145887 (base 9) to base 7\nAnswer: 5164543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 3*t**2 - t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.01 + -5.01. Are q and -27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23000 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26\/17*u - 20\/17*u**4 - 22\/17*u**5 + 48\/17*u**3 - 24\/17 + 44\/17*u**2 = 0 for u.\nAnswer: -1, 1, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 295 (b) -1\/8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/1403, 3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w - 7. Suppose 0*c = 3*c + 18. Let a be l(c). Suppose a*m - 220 = 60. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = 0, 3*a - 336874 = f + 1010404. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*o**2 - 11*o**6 + 2*o**6 - 24*o**6 wrt o?\nAnswer: -3960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**8\/240 - t**6\/90 - t**3\/3 - 5. Let o(f) be the third derivative of d(f). What is the third derivative of o(b) wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose -k*x - 2*q + 52 = 2*x, -2*q + 12 = x. What is the common denominator of (9\/10)\/((-12)\/x) and -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/20 - 5*g**4\/6 - 2*g**3\/3 - 5*g**2 + 1432*g. What is a(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 227960?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27611269 or 27611268?\nAnswer: 27611268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.26 in 18, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14458*y. Let l(u) = 2*u**2 + 42*u - 6. Let m(o) = -8*o**2 - 154*o + 22. Let x(t) = -11*l(t) - 3*m(t). Calculate x(p(j)).\nAnswer: 418067528*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 10*o = -125*o + 5559 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**3 + 11*j - 13. Let b(z) be the second derivative of z**5 + z**4\/12 + 10*z**3\/3 - 25*z**2\/2 - 97*z. Let i(m) = 6*b(m) - 11*p(m). What is i(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - 189. Solve 3*h = j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = i - 808, 8*u = 3*i + 3*u - 2440. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -76*y**2 + 48*y**2 - 44*y**2. Let t(k) = 2*k**2. Determine t(f(z)).\nAnswer: 10368*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 5. Let w be l(-9). Let n = w + 4. Find the second derivative of 2*a**4 - 1 + 1 + n + 3*a wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 15424?\nAnswer: 15431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from nnvngnngyngn?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658205?\nAnswer: 5, 131641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 466*j + 261?\nAnswer: 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84327.83 years to months.\nAnswer: 1011933.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 12. Let w be (v\/3)\/(4\/(-30)). Suppose 1 = -w*t + 2*j + 6, -5 = -5*t + 5*j. Solve 0 = s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -58 + (-3 - -15) + -7 + 77.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 9. Let s(f) = f. Let v(r) = g(r) - 2*s(r). Let a be v(6). Find the third derivative of 2*q**2 - a*q**6 - 2*q**6 + 8*q**6 wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 0 + 0)*(2 - 1 - 2)*(-3 + 1 - 1) as b + q*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4 + 0 + 8 + 265*f + 2 + 11. Let n(m) = 33*m + 3. Give 3*b(t) - 25*n(t).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 123. Let r be v(15). Let l(u) = 21*u**3 - 2*u**2 + 1. Let d be l(1). Let x = d - -6. Calculate the greatest common factor of r and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18025099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5324)*-2 - sqrt(5324))*-1 - sqrt(5324))\/(sqrt(48)\/(sqrt(12)*-1) + (sqrt(144)*1 - sqrt(144))).\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 85874 (base 13) to base 9\nAnswer: 406428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 + 5*w**2 + 3*w - 6. Suppose 0 = 2*j - s - 9, 3*s = -3*j - s + 8. Let b be h(j). Is 17 a factor of (4 - (-3 + 9)) + b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1940002, 1940011, 1940032, 1940071, 1940134, 1940227, 1940356, 1940527?\n\"Answer: k**3 + 2*k + 1939999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)**(7\/4)\/(t*t**(-1))**17 assuming t is positive.\nAnswer: t**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/19? (a) -1.838 (b) 61 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-61)\/(-2))\/(5\/130) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194*u - 29296 = 611*u - 969*u + 90648 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -511*u**4\/2 - 47*u**2 - 7*u - 289. Find the second derivative of x(c) wrt c.\nAnswer: -6132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.081259 to four decimal places.\nAnswer: -0.0813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/341369 and 35\/4?\nAnswer: 1365476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 4, j: 4, e: 1, a: 2, u: 5}. What is prob of sequence uje?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, -2, 541, 0, -5 in ascending order.\nAnswer: -5, -2, 0, 416, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 35 = 10*h. Suppose -h*m - v + 5*v + 148 = 0, 3*m - 78 = -3*v. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12 + q**2 + 2*q - 3*q + 12*q + 1. Suppose -i - 9 = -5*s, -2*s - 51 = 4*i - 7*s. Is b(i) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/8)*q*q**(2\/3))\/(q**(1\/4)*q\/q**(-1\/2)) assuming q is positive.\nAnswer: q**(-5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220954 is divided by 2420.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-5))\/(90\/(-300))*(-2)\/40. Find i, given that -o*i**4 + 3\/5*i**2 + i - 1\/5*i**3 + 2\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766748052.\nAnswer: 2, 691687013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2107 and -56.7.\nAnswer: -56.4893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 696885 divided by -5?\nAnswer: -139377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occt when four letters picked without replacement from {z: 1, o: 5, c: 3, r: 3, t: 7}?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-13 - -1 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 51 - 61 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9040 - -2120152\nAnswer: 2129192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-476)*(-5803)\/190. Let s = r + -52\/17. Let z = s - 117\/1045. Which is the third biggest value? (a) -0.4 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1034*v**3 + 1072 wrt v.\nAnswer: -3102*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/3 - 3020*s**2\/3 - 459025*s\/3 - 906010\/3.\nAnswer: -5*(s + 2)*(s + 301)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 16) to base 9\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216735147 or -216735148?\nAnswer: -216735147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 132*d + 2. Let g be q(2). Suppose 4*u + g = -610. Let o be u\/(-15) + 4\/10. Solve o = -0*p - p - 5*s, 2*p - 3 = s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 120 - 5?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/37678 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.04, 2785, -1\/6, 66?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606 a factor of 1344361016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 62 = -194. Suppose -4*o = 2*o - 24. Solve 0*x + x + c = p, -o*p - x + 7 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188309326 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -4, -14, 58, 3\/116.\nAnswer: -14, -4, 3\/116, 0.04, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/4058105 and 14\/60871575?\nAnswer: 60871575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(1392\/(-34)) + 2\/(-8). Let n be (2\/30)\/((-3)\/((-60)\/(-16))). Which is the third smallest value? (a) g (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j - 4 + 5\/2*j**2 - 4\/3*j**3. What is the second derivative of f(p) wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3730, 5660, 7590, 9520?\nAnswer: 11450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 7474.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**3 + 3*v**2 - 2*v. Suppose 6 = -2*u + 13*b - 9*b, -3*u = 8*b + 23. Let l(o) = -26*o**3 - 5*o**2 + 3*o. Calculate u*p(s) - 3*l(s).\nAnswer: 13*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, k: 8}. Give prob of picking 4 k.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 127103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11797 is divided by 1088?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(16))\/(-2*sqrt(99) - sqrt(11)).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 156 and 2431026318.\nAnswer: 2431026474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 3*y)*(2 + 0 - 4 + (3 + 1 - 2)*(2 + 0 + 0) - 16 + 19 - 23 - 3 + 0 + 2).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 + 35*x**2\/2 + 151*x\/3 - 68.\nAnswer: (x - 1)*(x + 4)*(x + 102)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzekqxkxk. What is prob of picking 1 e and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 - 10*y**2 + 4*y**2 - 5*y**2.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4\/5 - 1006062*b**3\/5 - 84342704643*b**2\/5 + 674789928888*b\/5 - 1349612052528\/5 = 0.\nAnswer: -167681, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197992 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 5 + u**2 - 7 - 3. Let a(h) = -h + 5. Let d be a(0). Let j be n(d). Solve 7*r - 2*r + j*b - 10 = 0, 5*b - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320362 divided by 33?\nAnswer: -70314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3837104 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 505\/7. Let y = -4\/17 + 37\/85. Sort q, -5, y.\nAnswer: -5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15236632 divided by -3809158\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 19 - 8. Let v = 0 - l. Let o(s) = -s**2 - 8*s + 9. Let j be o(v). Which is smaller: j or 4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 15. Let t = 519071.9949 + -519103. Let v = t - q. What is v rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107\/6 + -52\/3. Let g = 3.02 - 0.02. Let u = 6 + -5.6. Which is the nearest to r? (a) -3\/7 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79360495*x**2 + 9572835*x + 1 wrt x.\nAnswer: -158720990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.202, 57, -2\/51 in ascending order.\nAnswer: -2\/51, 0.202, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/777822 and 61\/3111288?\nAnswer: 3111288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - 21 - (-4 + 7) - 15)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Suppose 2*z - 2*s - 2 = 10, 0 = -2*z + 4*s + 20. Let x be ((-2)\/4)\/(z\/(-8)*5). What is the nearest to -2\/3 in -1, h, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203102 - 334?\nAnswer: -203441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15506137 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -12*(-3)\/(-12)*-3 - 0 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2747\/9 + 303. Let l be ((-4)\/8)\/(2\/4). Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.954507ml in litres?\nAnswer: 0.000954507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 258 = -4*x + 2*d, 2*x = 2*d + 132. Let c = 108 - x. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 99.0000121. What is z rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 3. Let x(l) = 4*l + 1. Suppose 2*n + 1 = -1. Let t be x(n). Is m(t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 1633249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913535 is divided by 367.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75441.31km?\nAnswer: 75441310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spkzskpxppjkjjzkzx. What is prob of sequence ssz?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1011 + 1899. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = -0*z. Suppose 6*n = 2*n - 8. Let m be z + n + 2 - -77. Round m to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 - 996 - 950 - 6*i.\nAnswer: -6*i - 2362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -28 - 25) + 0 + 78?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16 = -0 - 6, 7 = -3*i - 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04286, 112, 0.3 in increasing order.\nAnswer: 0.04286, 0.3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 + 9*x**3\/2 + 33*x**2\/4 + 4*x.\nAnswer: x*(x + 1)**2*(x + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -171a (base 11) in base 5?\nAnswer: -32244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*l*v**3 - 2*d**2*l*v**2 + 1373*d**2*l*v + 13*d*l*v**3 - 61*d*l*v**2 + d*l*v wrt d.\nAnswer: 2*l*v**3 - 4*l*v**2 + 2746*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7574 + -1?\nAnswer: 7573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120179, -480880, -1082051, -1923698, -3005827?\nAnswer: -4328444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 5*s**4\/6 - 18*s. Let c(y) = -4*y**2. What is n(c(r))?\nAnswer: 160*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896319 or 896287?\nAnswer: 896287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1776729000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4860*f. Let i(r) = 6*r. Determine i(v(y)).\nAnswer: -29160*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/3 (c) -44169 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -16, 1, 32, 83, 160, 269, 416?\n\"Answer: f**3 - 2*f**2 + 8*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2770 + -2771. Let g = -0.8 - -1. Let n be ((-3)\/15)\/((-8)\/(-5)). Which is the closest to g? (a) s (b) -2\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2. Let x be (-8)\/12 - (-532)\/42. Let n(p) = 2*p**3 + p**2 - 2*p + 1. Let r be n(1). Let g(s) = -x*s + r*s + 12*s. Calculate g(d(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5828 + 4992 - 7863)*(0 + j**4 + 0) to the form n*j + s + r*j**2 + i*j**4 + z*j**3 and give i.\nAnswer: -8699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 2 + a - 3 + 8.\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 31 = 2*s, -3*x - 3*s - 682 + 706 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 6816 = -6*g. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 5441?\nAnswer: 2\/5441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5255 (b) 5\/3 (c) 10 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -5499409\nAnswer: 164982.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/7)\/(d*d*d**(-7)*d) assuming d is positive.\nAnswer: d**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o**3 + 0*o + 5\/24*o**4 + 38*o**2 + 1\/12*o**5 + 2. Factor h(g).\nAnswer: 5*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19030037, -38060077, -57090117?\n\"Answer: -19030040*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + 2*(sqrt(1900)*-1*-6 + 1 + sqrt(1900) + 5) + 4.\nAnswer: 20 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 483, -5, 5.\nAnswer: -5, -3, 3, 5, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218 + 67. Let i = m + 189. Let h = -16 + 36. Calculate the remainder when i is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 5285?\nAnswer: -5301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5040 divided by -7\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40346.29cm in meters?\nAnswer: 403.4629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46156.\nAnswer: 2, 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 8*j**3 + 13*j**3 + 17*j**3 + 7*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/(i**(-1\/2)\/i))\/(i**(-1))**(-9\/2))**25 assuming i is positive.\nAnswer: i**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2294, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x. Let p be h(1). Let f be 12\/(-8)*(-20)\/p. Solve 2*o - f = -b, 3*o + 2*b + 0 = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 77794.\nAnswer: -388970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 + -1))*(-4 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 - 2 = 0, 3*r - p - 9 = 0. Let j(z) = z**2 - 5*z - z**r - 2*z**2 - 1 - 1. Give j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 27. Suppose 19 = b - i. Is 28 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 6*l - 3. Let t be o(7). Let u(b) = -8*b - 21. Let g be u(-3). Let d(m) = -9 + g + 5 + m + t. Calculate d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 6556 + 11*f - 6555.\nAnswer: 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3687 times 30.5\nAnswer: 11.24535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (10 + 0 - (-14 + 1 - (-826 - -828)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 114. Let o be ((1175*8)\/b)\/(-2). Suppose 13*s - 1256 = o. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -19*u + 14. Let i be t(-6). What is the greatest common divisor of 4384 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2. Let s(m) = 43*m**2 + 60*m. Give s(v(i)).\nAnswer: 2107*i**4 - 420*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -19, -25, -31, -37, -43?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-44.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 6. What is f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {n: 1, h: 2, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let q = -17 - -13. Let c(x) = 2*x**2 - 2*x - 3. Determine q*r(h) + c(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 5:50 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 197258322.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33174g in milligrams?\nAnswer: 331.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*y = 3045, 2*y + 3061 = 3*i + 7*y. What is the hundreds digit of (-56)\/(-4)*i\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 28*i**2 + 16*i + 28. Let l be g(-5). Is l at most 523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/60 - k**5\/120 - k**3\/2 + k. Let b(z) be the second derivative of u(z). Let m be (0 - 2 - 0)\/1 - -1. Give b(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618120.6 minutes in days?\nAnswer: 2512.58375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b\/(b*b*b**(-2\/5)*b))**(-46) assuming b is positive.\nAnswer: b**(1978\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496945853 and 1887.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*g - 121*g - 34916 = 0. What is the remainder when g is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 852231 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (552 + 534 + 65)*(4*h - 4*h + 2*h) + (-5 + 5 + 16)*(h - 4 + 4) as z + i*h and give i.\nAnswer: 2318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 6803*l**3 + 6800*l**3 - 7 + 2*l**2 - 9 - 2*l + 13*l**4 in the form v*l + k + g*l**3 + y*l**4 + b*l**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.804 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.26058nm?\nAnswer: 0.00000000000326058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1505775 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + sqrt(2736)*-2 + sqrt(2736) - sqrt(2736))) + sqrt(2736))**2*3*3 + -5.\nAnswer: 221611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 11*l - 16. Let h be s(-8). Let d = h + -142. Let c(o) = o**3 + 5*o**2 - 6*o - 7. Calculate c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 + 2 = 0. Suppose -2*z + 8 = -2. Suppose z*n = -20, -m*a - 3*n = -0*n + 4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00081731 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -85700?\nAnswer: -85697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 2*c - 51 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/2 + (34 - 43). Let n = -3439\/2 + 1767. Let p = 49 - n. What is the nearest to f in 1, -1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 1 - 11. Suppose -v = 3*d - c, -d + v = -9 + 3. Suppose -f + 2 + 6 = b, -2*b + 26 = d*f. Solve -2*h + h = f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -194 and 1072889.5.\nAnswer: 1072695.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 - -4) - (62 - 110)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 1447*i**2 + 90 - 108*i**3 - 802*i**2 + 101*i**3 + 232*i**3 - 12*i**5 + 507*i - 8*i**4 - 7*i**4 = 0. What is i?\nAnswer: -3, -2, -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -546 - -562. Which is the closest to 0? (a) -2\/5 (b) -0.3 (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 6*g - 13 - 4*g**2 + 3*g**2 + g**3. Let s be (6 + (-72)\/12*(4 + -3))\/1. What is i(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzc when three letters picked without replacement from {z: 3, x: 9, c: 1, j: 2, d: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277727060 + -1?\nAnswer: 277727057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 730277443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, a: 13}. What is prob of sequence aaia?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**27)**(-2\/93)\/(n**(-12)\/n*n)**(4\/11) assuming n is positive.\nAnswer: n**(1290\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 511178059 - 511178601.999531. Let t = -2.86 - 540.14. Let x = z - t. Round x to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 9 = -7*u. Sort u, 0, -6 in decreasing order.\nAnswer: 0, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 24820450*f**3 - 24820454*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*g + 294*g = -m + 30, 3*g - 21 = 0. Solve -4*h - 5*s = -h + 17, 4*h = -5*s - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -309357.7650673\nAnswer: 309362.7650673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59855*h*k - 80302*h wrt k?\nAnswer: 59855*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 53*b + 3748249*b**2 - 4*b**3 - 3748251*b**2 as u*b + t*b**2 + v*b**3 + g and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 43. Let d = 4 - 4. Solve 2*j + 5*n = -28, -2*j + 3*n - 2*n - a = d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let g(x) = -2*x**2 + x + 69135. Give h(g(y)).\nAnswer: -4*y**2 + 2*y + 138270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/40*(-15)\/(-114).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3032023 (base 5) to base 12.\nAnswer: -24445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -87, 5, 3.\nAnswer: -87, -19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -132, -147, -148, -129?\n\"Answer: v**3 - 2*v**2 - 24*v - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 20*c + 42.\nAnswer: -(c - 2)*(c + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 18 + j**3 + 169*j**2 - 67*j**2 - 108*j**2. Determine q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = 12 - 38 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5 + 4*m - m**2 + 6*m**3 - 7*m**3 - 2 + 0. Determine i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d1 (base 16) to base 10.\nAnswer: -5841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1695558 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2590*j + 74 = 2598*j + 250 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from yyjlil.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -29*((5 + 0)\/5)\/(-1). Let d(z) = -z + 48. Let a be d(0). Let j = a - y. Solve p + 5 = -2*x, -x + 1 = 5*p - j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 14*s**2 + 25*s - 195. What is the hundreds digit of z(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279562*o**5 - 18*o**2 + 7133*o?\nAnswer: 16773720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.53 in -5, -337, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:20 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*w - 14 = w, -3*w = 2*a + 8. Let v = -2 - a. Let q(r) = -r**3 - 3*r**2 + 5*r + 3. Let h be q(v). Let x(c) = -11*c**3 + c**2. Calculate x(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201762 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/6 + 13*r\/2 = 0. Calculate r.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 4440*n = 0 for n.\nAnswer: 0, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.00502, 717?\nAnswer: 0.00502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 16367872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 969685413 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369 + -105. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*m + 148*m + 12*m)*(0 - 2 + 1) + m - 2 + 2.\nAnswer: -239*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129749943601*m - 18*m**3 - 129749943601*m.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 44 = -8*q, -4*a = -3*q + 16 + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -61. Suppose g + 0*g - 37 = 0. Let v = g - 10. What is the highest common divisor of i and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*g**2)*((4 - 1 - 5)*(-6*g + 4*g + 4*g) - 2*g + 5 - 5 + 5*g - 2*g - 4*g)*(9 - 3 - 45).\nAnswer: -546*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 9. Let u be b(-7). Let c be (1*u)\/2*-5. Is (-216)\/30*-1*c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Suppose -5*k - 3*i - 25 = 0, -3*k - 49 = -4*i - i. Give q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-53.68\nAnswer: 10.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 2\/13 (b) 28 (c) -1.1 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*v**2 - 1111*v**2 + 504*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 3. Let d(q) = -5*q + 4 + 2*q + 2*q - 2. Let w(y) = -5*d(y) - 4*z(y). Give w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 10*m**2. Let p(f) = -6*f**2 - 15. Determine p(r(j)).\nAnswer: -600*j**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 151, 2, -2, 0.2?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-3))\/(12\/(-20)). What is the second derivative of -c + c**u - 4*c**5 - 12*c - c**5 wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 145, 98, 41, -26?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*d**4 - 17*d**2 - 9*d - 104*d**4 + 3 + 54*d**4 - d wrt d.\nAnswer: -24*d**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8103 - -14?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/3, 338, 0.04, -0.2?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-414)\/1863*144\/(-140)*10\/8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - 7714\/(-10) - 4\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 325*w**2 + 3 - 9.\nAnswer: 325*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4468\/5 - -899. Calculate the common denominator of -43\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d22 - 2?\nAnswer: -d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15284 by 4651.\nAnswer: -15284\/4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (42 - (-8 - (8 - 21)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 1\/12*w**4 + 5*w + 1\/2*w**2 - 7\/6*w**3 - 14. Give v(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3162 (base 10) to base 6.\nAnswer: -22350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 899.\nAnswer: -1\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54526568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51315913489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 7*z**2 + 8*z + 6. Let p = 6 + 2. Let o be r(p). What is the units digit of (4\/o)\/((-2)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13568 and 1424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 465232100 rounded to the nearest 1000000?\nAnswer: 465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244019631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.04\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -161, 0, -2, 3, 61 in decreasing order.\nAnswer: 61, 3, 1, 0, -2, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*v = -0*f - 7, 13 = -5*f - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-98))\/(((-40080)\/1050)\/167)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.9 < -11765.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 + 2 = -w, -3*t - 68 = -5*w. What is the smallest common multiple of 12 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 11. Is z at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 + 45*u - 830. Determine r(13).\nAnswer: 1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (552\/16)\/(-23)*10*(-2)\/10. Solve 168 = -b*a + 183 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -607?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -51513.6 - -0.5?\nAnswer: -51513.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 - 229 = -6*h. Suppose -7*t + 18*t - 19371 = h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242758?\nAnswer: 2, 121379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 3*d + 9. Let h be p(-4). Calculate the highest common divisor of 65 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1 (b) -6 (c) -11 (d) -7 (e) 243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfff when four letters picked without replacement from fffrqhrrjjr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 - 4*x - 3. Suppose 35 - 10 = 5*a. Let m be p(a). Let i be m - (-1 - (-6 + 3)). Let k(b) = -b - 2. What is k(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139444 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 10:40 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48332 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w. Let i(l) = -30*l + 30*l + 15*l**2 + 21*l**2. Give x(i(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 925 and 16784569.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*c - 10 = 0, 4 - 7 = 3*n + 2*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002785 to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*((-6)\/9 + 1). Let a(r) = 29*r + 1801. Let w be a(-62). Sort i, -31, 1, w.\nAnswer: -31, 1, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 2414000 = -55*s. Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 295?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.1 + -6. Let a(y) = -y**2 + 17*y + 14. Let n be a(18). What is the nearest to x in -1, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/30*25*-960. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -56.2?\nAnswer: 22.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1131566 and 2344?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13380 = -195*n + 1050 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 18. What is the remainder when 64 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of ((-4)\/(-2) - 8)\/(-2 - 8319\/(-4164))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/3 - 6*g**4 + 62*g**3\/3 - 34*g**2 + 80*g\/3 - 8 = 0. Calculate g.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -262026?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1324\/1995 - 2\/665. Let z = -3\/10 + 1\/10. What is the nearest to b in -5, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*j**6 - 2*j**4*z**3 + j**2*z**3 + 118*j*z**3 wrt j?\nAnswer: -16200*j**3 - 48*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 3*r - 10*r + (-2*r + 6*r - 3*r)*(2 + 2 - 2) + 5*r - 4*r + r in the form h*r + a and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9*o + 3 - 7*o)*(-2*o**2 + 3*o**2 + o**2).\nAnswer: 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127940363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 18 (c) -1 (d) -3660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 e when four letters picked without replacement from jefjjfjfjf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76532833?\nAnswer: 13, 452857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237c4e (base 16) to base 13.\nAnswer: 6356ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.5 (c) -3 (d) 2 (e) -102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134739 and 2178.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 378\/(-264) + 4\/(-22) and -53\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -u + 40, -2*u - 4*t = -7*u + 143. Suppose 5*k + 0*k - u = -4*i, 0 = -5*i + 20. Suppose 0 = -k*s - 2*l + 113, -6*s - 4*l + 189 = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:42 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -66 - 343*k + 111*k + 66. Let y(g) = -13668504 + 2*g**2 + 13668504. Determine y(f(b)).\nAnswer: 107648*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3510.676074946355 - 417799605.323932453645. Let w = -417803166 - p. Let u = w - -50. Round u to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 7*x + 7. Let d be r(-7). Let j(p) = 1 + d - 8 + 8*p. Let m(b) = b**2. Give m(j(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13549041?\nAnswer: 3, 11, 136859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/10 - 585*i\/2 + 855922\/5 = 0.\nAnswer: 809, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205161 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 31. Let y be r(23). Let t be 58\/y*-3 - (1 + 2). What is the third biggest value in t, -2, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 12 + (-15295)\/(-1702) + 6.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 13, 61, 115, 169, 217?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.07 or -12?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 91 = 23*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 4*y + 2. Suppose -4 + 0 = -f. Let g be i(f). Suppose -g*m = -4*m. Which is the third smallest value? (a) 1\/3 (b) m (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1 - (16 - 96) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Suppose -5*x - t = -12, 4*t = 6 - 18. Suppose 3*j - x*s = -j + 25, 4*j + 2*s = 30. Calculate the remainder when j is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364215 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 0*v - 2*v**2 - 7 - v**3 - 4*v**2 + 0*v. Let g be o(-6). Suppose -2*z + g*z = 0. Solve z*d - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**7\/2520 - t**4\/6 + 10*t. Let i(p) be the third derivative of h(p). Let v(z) = 10*z**2. Calculate i(v(a)).\nAnswer: 100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*o + 7. Suppose 0 = v - o - 8. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58414\/94275 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 17184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36249, -1 in descending order.\nAnswer: 36249, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 + (0 - 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - r**3 - 2*r**3)*(1 - 3 - 1)*(4*r - r + 17*r - 1).\nAnswer: 180*r**4 - 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 7*y - 560 = 0. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1023 - -4?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 5 - (-22)\/(-11). Suppose k*h - 83 - 76 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.7, -448, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8670\/((-816)\/16))\/5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - 2*n**2 - 2*n + 3. Let w(x) = -17*x**3 - 9*x**2 - 9*x + 13. Let t be 0\/3 + (-8 - -2). What is t*w(o) + 26*j(o)?\nAnswer: -2*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14923*q = -14803*q + 6240 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-4))\/(-6))\/((-25)\/(-30)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2 (b) -16.9 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -899*s**2 - 4*s + 4558. Let l(m) = 1793*m**2 + 9*m - 9118. Let o(y) = 4*l(y) + 9*w(y). Find the first derivative of o(c) wrt c.\nAnswer: -1838*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1)*(0*b**3 - 2*b**3 + 0*b**3) + 0*b**4 - b**4 - b**4 + (-2*b + 2 - 2)*(-3*b**3 - b**3 + 3*b**3).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91955175 rounded to four decimal places?\nAnswer: 2.9196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54 (b) 4 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2\/5 - 207*m\/5 - 201\/5.\nAnswer: -3*(m + 1)*(2*m + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v**3\/7 - 176*v**2\/7 - 410*v\/7 + 100\/7 = 0 for v.\nAnswer: -5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 13*a - 5. Give m(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*1\/4*2. Let c(g) = g. Let i(v) = 5. Let z(w) = c(w) - i(w). Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*u + 144, 5*u - u = 3*f - 303. Is u*(7\/(-2) + -1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362 + -300. Suppose -f*z + 4043 = -111. Which is the smallest value? (a) 0.4 (b) -1\/3 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11995 or 11993?\nAnswer: 11993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4\/7, -1\/12, 342?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/4 + 5*l**3\/2 + 9*l**2 - 10*l. Determine m so that s(m) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/15)\/((-1)\/(-5))*-3. Let f be (8\/(-168))\/(2\/(-18)). Let a = f - 37\/119. Sort -3\/8, a, v in increasing order.\nAnswer: v, -3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 422 and 5?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 40278777?\nAnswer: 40278781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48263, 96773, 145527, 194531, 243791, 293313, 343103?\nAnswer: 393167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2 - 4 + 4 + 17*o + 0. Let t(h) = -7*h - 4*h + 3*h - 1. Determine 6*l(p) + 13*t(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -s - 3*o + 188, 0 = -2*o - 12. Calculate the remainder when 1597 is divided by s.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*p - 68 - 41 - 8*p.\nAnswer: -14*p - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/9 + 400*n**4\/9 + 5762*n**3\/3 - 290320*n**2\/9 - 1075688*n\/9 + 449440\/3 = 0 for n.\nAnswer: -106, -4, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18715561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 450441?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*b = 26, 0 = 3*w - 0*b - 2*b + 16. Let f be 2\/(-4 - w)*1. Is (1*f)\/((-1)\/127) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-132)\/(-192))\/(28\/(-56)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.27 and -180.4556.\nAnswer: -180.1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1745097*u**5 + 225*u + 3007 wrt u?\nAnswer: -34901940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 109976.\nAnswer: -98978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-177 - (4 + 1))*(-1)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3341214 and 328644?\nAnswer: 20047284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -315. Calculate the highest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2249? (a) -5 (b) -3 (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8856\/15671 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10080363 (base 9) to base 3\nAnswer: -100002200102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.62 - 0.48. Let y = o + 8.1. Which is the nearest to 1? (a) 1 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 + 124. Let x = u + 58.6. What is x rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 34*i + 1378. What is m(-26)?\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 4*f - 113 + 189 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75 in -0.1, 0, -3, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4)*-96*18\/(-27). Suppose -m*x + 12565 = -41*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*l - 5, 4*h + 39 - 49 = 2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 97?\nAnswer: -8\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 26 = -0*q. Let m(a) = -2*a**2 + a - 5. Let y be m(0). Let j = -1 - 2. Sort q, 1, y, j in increasing order.\nAnswer: q, y, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151318 is divided by 72?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72, -290, -654, -1164, -1820, -2622?\n\"Answer: -73*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -9*n + 6*n + 1, 3*n + 7 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 22 + 0 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ebca4 (base 16) in base 10?\nAnswer: 3062948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29746 and 0.02?\nAnswer: 29745.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 17. Let u be 2*(2 + 4\/o). Suppose -6*b + 78 = -u*b. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-11)\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515385 and 936.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724397.\nAnswer: 13, 209569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31384.\nAnswer: 2, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 3. Let d be u(0). Suppose 2*f = f + d. Calculate the greatest common factor of f and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215)\/sqrt(3) + 0 - ((sqrt(120)\/sqrt(8) - sqrt(15) - sqrt(15))\/sqrt(3) + 5)) + -2.\nAnswer: -7 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 13\/2*32\/(-40)*-30.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 1406*p - 15817. Calculate t(-11).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*x - 83, -55 = -3*d + 53*x - 55*x. Solve 0 = 3*s + u + d, 3*s + 32 = s - 4*u for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 5}. Give prob of sequence ww.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 5. Let v be a(3). Let w be (2\/v)\/(0 + 1). Is w equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764745.4 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 7*w + 8. Let f = 24 + -30. Give m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175669929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3228\/3625?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113849 and 23273?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18301, -72997, -164157, -291781, -455869, -656421, -893437?\n\"Answer: -18232*c**2 - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h + (1 - 2 + 3)*(9*h - 3*h + 4*h))*(3 + 0 - 1)*((-6*h + 2*h + 2*h)*(-4 + 4 + 7 + (-3 + 6 - 5)*(-3 + 1 + 0) - 3 - 2 + 3) + 4*h - 2*h - 14*h).\nAnswer: -1320*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000404 to 5 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 9*d**2 - 10*d - 2. Let h be x(8). Let q be h\/(-6)*(-8)\/(-6). Solve 3*j + 4*w - 27 = 0, q*j - 2*w = 3*w + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(11)*-2).\nAnswer: -12*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -375*u + 2246. Determine x(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-10) + (-3)\/(-15). Let k be 1*(-3)\/f*-55. Calculate the remainder when (418\/k)\/(2\/3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 3, s: 1, i: 1, e: 1}. Give prob of sequence sz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 68*w = 65*w, 3*z = -5*w + 29 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u\/(u**(3\/5)\/u))\/u*u*u)\/(u**(3\/5)\/u))\/((u*u**(-3)*u*u*u)\/u)**(3\/13) assuming u is positive.\nAnswer: u**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220482932.\nAnswer: 2, 55120733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 3*k + 15. Let v be g(0). What is the highest common divisor of 555 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -25*q - 1529. Determine o(-61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -305\/2855321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -303323 (base 4) to base 10\nAnswer: -3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 69*o**3 - 18*o**2 + 204*o - 70*o**3 - 77 - 208*o. Determine c(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 58 - 15*h**3 - 134 + (2 - 2 + h)*(-h**2 - 3*h**2 + 5*h**2) to the form w + x*h**2 + j*h + b*h**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p**5 - 116*p**3 - 6 - 1634*p - 98*p**3 + 1 + 49*p**3 + 7 wrt p?\nAnswer: 160*p**3 - 990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28292297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -97*q + 11. Let f(a) = -194*a + 18. Determine 3*f(r) - 5*n(r).\nAnswer: -97*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/1*2\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 - 84 + 35 + (3 - 3 - 1)*(-4 + 5 + 1))*(3 + 3 - 2)*(-2 + 4 - 1)*(x - 3*x - 11*x) to the form t*x + o and give t.\nAnswer: 5096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 129231, 516925, 1163081, 2067699, 3230779, 4652321, 6332325?\n\"Answer: 129231*h**2 + h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204123 - 110?\nAnswer: -204233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 217\/7178 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258264 and 7911?\nAnswer: 227014056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00098942732 to 5 decimal places.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 4) in base 13?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59775, -59771, -59745, -59685, -59579?\nAnswer: -59415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1424 - -1737. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.9. Let w = 0 + -0.1. Let u = h - w. What is the nearest to u in 0.3, -1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/3 + 2078*h\/3 - 43416 = 0. Calculate h.\nAnswer: 67, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let o(x) = -x - 10. Let b(r) = -o(r) - 2*u(r). Let k(a) = -16*a - 15 + 3*a + 11*a. What is -11*b(m) - 6*k(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (244\/(-610) + 13\/20)*-36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -0.2 (b) 17\/3 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**3 - 2 + 48*x**2 + 1\/490*x**7 - 1\/70*x**6 + 0*x - 1\/28*x**4 + 1\/28*x**5. Suppose k(j) = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and 1669332369.\nAnswer: 1669332368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129 - -141) + (7 - 4 - (14 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.073000478 - 0.073. Round w to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 53. What is c(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h**4 + 6*h + 5 + 0*h**3 + 0*h**2 - 3\/5*h**5. Differentiate l(c) with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose 2*o + 5*f - 21 = g, 4*f = -5*o + 10 + 68. Let m = 80 + -26. What is the greatest common factor of o and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10430 - -42?\nAnswer: -10388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13\/4)\/(p*p**11*p) assuming p is positive.\nAnswer: p**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -32. Suppose 0*v + 2*q - 10 = -v, d*v = -3*q + 21. Suppose m + 35 = -v*m. Which is greater: m or -19\/3?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:18 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 6*m - 10. Calculate v(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 703 = 1461. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (0\/(-5) + 1). Let c(d) be the first derivative of -3*d**2\/2 - 17*d - 101. Give c(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/288 and -145\/12?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -2\/33, -1.0313, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4532)\/309)\/((-1)\/(-3)). Let u(l) = 36*l**3 - 22*l**2 - 22. Let i = 10 - 4. Let k(x) = 5*x**3 - 3*x**2 - 3. Calculate i*u(f) + s*k(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 - i**3\/3 - i**2\/2 - 12*i. Let p be k(-2). Suppose -2*a - 275 = -p*a. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/448 and -11\/40?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 >= 755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2997981*-5\nAnswer: -14989905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30711719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/41)\/((w**10\/w)\/w*w))\/(((w**3*w)\/w)\/w*w*w**(-9)))**(-42) assuming w is positive.\nAnswer: w**(5082\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 c, and 1 s when four letters picked without replacement from {y: 1, b: 3, s: 7, c: 2, x: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 25 + -6 - (-6 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (36\/(-64))\/(3\/2) and 39\/(-13)*96\/99 - -5?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1385181738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -23. Solve 0 = -v*q + 2 - 11, 5*w + 4*q + 22 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 5*t**2 + 4*t + 2. Let u be w(4). Suppose 4*b - u*b - 8 = 0. Let x = -1287 - -1285. Put x, -4\/3, b in descending order.\nAnswer: b, -4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, 4, 204936\/179, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, t: 1, a: 1, k: 1, p: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5989.25 - 0.3.\nAnswer: -5989.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.2 - -55.3. Let r = 30.6 + -12.9. Let o = 0.7 - r. Sort c, o, 2\/3 in decreasing order.\nAnswer: 2\/3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -103*v**6\/6 + v**5\/5 + 247*v**3\/3 + 159. What is the third derivative of r(b) wrt b?\nAnswer: -6180*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 4*f + 10, -f - 6 = -3*q. Suppose 0 = v - 1, 3*z - q + 0 = -5*v. What is the units digit of 9*(2 + z) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4039 - 4038.92. What is the biggest value in 23, l, 0.4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-110) - 30\/(-66).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/27)\/((-2)\/48). What is the second derivative of -c*n**2 + 8*n - 13*n - 10*n wrt n?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1884)\/(-27) - 6\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2, -4, -3, -0.02, -1245, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53996654203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 582053?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/60 - 3*g**4\/8 - 4*g**3\/3 + 3*g**2. What is the units digit of z(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - n**3 + 3*n**3)*(2*n + n - n) - n**4 + 6*n**4 + 3*n**4 + ((0 - 2*n + 0)*(-4 + 4 - n**2) + 4*n**3 + n**3 + 0*n**3)*(-1 - n + 1).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) - 48\/(-21). Suppose 5*m = r*m + 36. Suppose -m = -4*l, 0*q - 2*q - 5*l = -39. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-3780)*30*7\/(-60).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319326 and 2247.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1\/4, -3 in decreasing order.\nAnswer: 26, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 501361560 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 2*i + 35\/3*i**3 + 0*i**2 + 5\/2*i**4 - 9. What is the second derivative of n(u) wrt u?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100012002000021 (base 3) to base 4\nAnswer: -102220012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 559 + -558.477. Let w = g + -0.5230182. Round w to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020881 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48716 + 48704 = -12*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4090, -8172, -12244, -16300, -20334, -24340, -28312?\nAnswer: -32244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -0.053, -0.3, 6.\nAnswer: -0.3, -0.053, 0.6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 289*f**2*i - 516*f*i**2 + 2572*i**2 - 17 wrt f?\nAnswer: 578*f*i - 516*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6595 - -6814. What is the greatest common divisor of s and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39220695, 39220693, 39220691?\n\"Answer: -2*d + 39220697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/107 smaller than 45\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.268404 * -470.\nAnswer: -126.14988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/4392 and 71\/2440.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8688*r = -1741*r - 236198 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + (-2)\/(-6). Let c = 6 - i. Suppose c*j - 85 = -0*j. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001719 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -81. Calculate the remainder when 43 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(27280\/(-8))*-5*-2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110870520, -221741042, -332611564, -443482086?\nAnswer: -554352608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -3b?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - o + 1, 4*t + 2*o + 1 = 3. Suppose -5*n + 5 = t, -3*s = -6*s + 2*n + 13. Solve -i - 4*b = 7, 2*i + s*b - 10 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158 and 6.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11888936*b**2 - 72448919*b?\nAnswer: -23777872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5557 - 267?\nAnswer: -5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16696 = 13*t - 90276. Suppose 100 + t = 8*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -35\/2, -4, 302 in descending order.\nAnswer: 302, -0.3, -2, -4, -35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 9, t: 1, x: 4}. What is prob of sequence xhy?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 13495*l - 94468. Give h(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 8514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2415 - 236*k - 2320*k - 64*k - 400 - 454 with respect to k.\nAnswer: -2620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + -4.4. Let i = -4.7 - v. What is i rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:19 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 5)*1*-35. Let x = 65 + b. Calculate the greatest common divisor of x and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009790 is divided by 100978?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.123 - 0.223. Which is bigger: p or -61?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071632328 to seven dps.\nAnswer: 0.0007163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 320 - 320. Suppose 4*n - 4*j - 708 = s, 0 = -3*n - 2*j + 760 - 224. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*z**6 - 535*z**4 + z**3 - z**2 + 5310*z wrt z.\nAnswer: -4920*z**3 - 12840*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1718 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*q + 0*q = 2, -4*u + 11 + 65 + 16 = -17*q for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4, -2*a - 3*a = -4*n - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 408418246607 + 408418246607 + 10*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 55 + 55. Let i(f) be the second derivative of 0*f**3 - 7\/12*f**4 + 0 + 0*f**2 - f. Calculate c(i(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276871\/900680 - -21\/4094. Let m be 1\/3 + (-134)\/330. Let c = m + n. What is the second smallest value in c, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153438965*x**3*y**2 - 35*x**2*y + 2*x*y**2 + 539*y + 1 wrt x?\nAnswer: -920633790*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 48. What are the prime factors of m(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 4*c**2 + 8*c - 4. Let m be x(-6). Solve 2*k = -2*k - m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -64. Suppose k = -w + 21, -2*w + 4*k + h = 5*k. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 6:47 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13924 - -13392. Which is the nearest to -0.6? (a) -0.1 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 63*h - 32*h = -30*h - 97, 4*u + 3*h - 27 = u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6002720 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b5d69 - 18?\nAnswer: 1b5d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q**3 - 4*q**2 + 8*q. Let i(a) = -34*a**3 - 11*a**2 + 23*a. Let z(t) = 11*g(t) - 4*i(t). What is the second derivative of z(x) wrt x?\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + 9 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 6 - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 e, and 2 r when four letters picked without replacement from {s: 1, n: 1, e: 2, u: 4, r: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*o + 45, 12*y - 16 = -6*o + 17*o + 9 + 14 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 1, -2\/21, -10\/183 in descending order.\nAnswer: 1, 4\/7, -10\/183, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19352769391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*s = 21, -12*s = 5*z - 7*s - 45. Let p = -2 + 18. What is the least common multiple of z and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 = r + j + 80, -4*r + 5*j = -3178. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 15*h + 4 - 31 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*g + 14, -131*g = -135*g - 4*o + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -533, -798, -1079, -1388, -1737?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/88?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*f**2 - 113*f**2 + 2 + 695*f**2.\nAnswer: 259*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.375247 to one decimal place.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/129756 and 65\/97317.\nAnswer: 389268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 2:17 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 55 + 0 + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z. Suppose -3*l + l = z. Which is bigger: l or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 84317916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 78 - 3. Suppose 2*h - 8 = -h + 4*k, 0 = -3*k - 15. What is the remainder when 1*(26 + (-1 - h)) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - -7)*(-12)\/10. Let c be (0 - 1\/(-1))*0. What is a in -d + a**2 + c*a**2 + 18 - 4*a**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 3}. What is prob of picking 1 y and 3 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:26 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-2\/11)*a*a**5)\/((a\/(a*(a\/(a**5\/a))\/a))\/((a**(2\/7)\/a)\/a))*((a*((a*a**(5\/3))\/a)\/a*a)\/(a\/a**(-1\/2)))\/(a**1)**(-16) assuming a is positive.\nAnswer: a**(9071\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/5 + -13*(-456)\/988.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82481993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 3 - (125 + -122)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 128*t**2 - 24*t**2 + 5*t + 0*t - 9*t to the form m*t**2 + u + w*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4 - 3)\/((-6255)\/(-1250) - 5) and 2?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -801, -786, -769, -750?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 406*m**2 - 76*m - 655. Is o(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.7006 from -92.\nAnswer: -98.7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130117?\nAnswer: 13, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 21*h = 0. Let d = h + -3. Let s(x) = -x**2 + 2*x - 1. What is s(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6384 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 16720?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/4 + n**3\/6 + n**2\/2 - n. Let y(s) = 105*s**2 + 7*s + 6. Let a be y(-1). Let v be (-3)\/(-21) - a\/91. Calculate h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/24)\/((-2)\/30). Suppose -12 + 4 = -2*l. Let b = -4 + 2. Sort l, b, t.\nAnswer: t, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 - 181. Suppose 3*h + i*y - 116 = 0, -13*h + 2*y = -12*h - 46. Calculate the greatest common divisor of h and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Suppose -17 - 45 = -4*g + 5*u, 5*u = 10. Calculate the least common multiple of w and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -430, 23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let d(g) = -1. Let i(o) = -o - 3. Let q(t) = -3*d(t) + i(t). Determine x(q(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-39 + 0)) + (3 - 5). Let a(m) = -38*m - f*m + 72*m. Let d(o) = 1 - 1 + 4*o. Calculate a(d(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/(80\/16*2)*(-4)\/7?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000245 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843480 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9407076786 and 3.\nAnswer: -9407076783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 2:48 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*z + 15, 4*u - 2*u = -3*z + 9. Suppose 4 = -4*l, 0 = 4*o - u*l - l - 5. Solve 4*j - 2*q + o = 3, 3*j + 5*q + 5 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 910, 913, 918, 925, 934?\n\"Answer: t**2 + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*m + 4, -4*m - 2*x = -x - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1, -1.\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9996480079\/34723531710 - 54143\/302246. Let f = x - 2\/3105. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 3*f + 7*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qopccfoqxxocoocc. Give prob of picking 1 c, 2 q, and 1 f.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6657737369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*m = 5*b - 214*m - 5, -2*m = b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163831 and 2422.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(832) + sqrt(832))**2 + sqrt(832))*2 + 4*(sqrt(832)*1)**2.\nAnswer: 16*sqrt(13) + 9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*w + 12 + 4*w)*(-4*w + 2*w + 0*w).\nAnswer: 4*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0.5 (c) -0.5 (d) 140 (e) 64 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (1 - (-6 - 3) - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.11 - 19.8. Let x = -1.8 - v. Let d = -0.03 + x. Is -0.1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 6*d - 30. Suppose -4*h + 5*r = -h - 25, 3*h = -2*r + 11. Solve -5*j - h - d = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13677 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 -2*k + 6890336 = 890340. Let o(j) = -3*j - 3. Let a be o(-2). Let v be k\/a - 8\/(-12). Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13539.72km?\nAnswer: 13539720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((8 - 5 - 6) + 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -44*x + 27 - 57, -221*x + 3*i + 50 = -226*x - 2*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 72007.\nAnswer: 50\/72007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + (-4*sqrt(1331))**2 - (-4*sqrt(1331)*4 + -1))*3.\nAnswer: 528*sqrt(11) + 63891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i, -4*i = 5*x - i - 115. Let b = -21 + x. Solve -b*t - 2*t = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 13*d - 16767000 = 0. Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 7. Let f(v) = -v**3 + 5*v**2 + 16*v - 17. Let o be f(7). Let c be (-371)\/(-77) + o*6\/(-99). Give d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 5:14 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/((c\/(c\/(c\/c**0))*c)\/c*c)*c*c)\/((c*c*c**(2\/21)*c)\/c))\/(c**1)**5*(c**(-1))**0*c**(-5\/4)*c\/c**8*c assuming c is positive.\nAnswer: c**(-953\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133806?\nAnswer: 2, 3, 13, 40177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:53 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, -5, 4 in increasing order.\nAnswer: -12, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*d**3 - 3471*d**3 + 546*d**3 + 2372*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 + 56. What is the remainder when z is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5306018 is divided by 4418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by 4230.\nAnswer: 44\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 243. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + n = 19, 4*k - 7*k + 2*n = 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 18*a + 47565 = 3*x, -5*a + 63438 = 4*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13968055 or 13968054?\nAnswer: 13968055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -10868\nAnswer: -1\/5434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 + -3)*4\/24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6459.83062 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 5*l**2 + 6*l + 2. Determine d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0023877.\nAnswer: 0.00071631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74 + 1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2568 + 2609. Solve -12*o - 43 = i for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 91*q**2 - 91*q**2 + (6*q**4 - 4*q**4 + 0*q**4)*(70 - 53 - 43) as j + k*q**3 + n*q**2 + w*q**4 + b*q and give w.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -13, 4, -4, 13, -12, 0.3.\nAnswer: -13, -12, -4, -3\/2, 0.3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 3*f + 3. Let i(a) be the first derivative of a**3 + a**2 + 2*a + 25. Let p = -5 + 3. Calculate p*t(l) + 3*i(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2138*w + 1298*w + 2564*w + 338374 + 279626 for w.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) + 1157\/11. What is the greatest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5362 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219327, -438948, -658857, -879054, -1099539, -1320312?\nAnswer: -1541373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyynyyyyyyy. Give prob of picking 2 y and 1 n.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 5:07 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7*t + f = 30, -2*t = 2*f + 44. Let z = 76 + t. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 201 and -258.\nAnswer: -51858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357903617\/2249 + 159139. Is m <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 343*-0.09\nAnswer: -30.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + l - 3. Let i = 3 + -4. Let n(p) = -p**2 + p - 1. Determine i*m(k) + 3*n(k).\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -212 + 214 + 4*t - t**2 - 4*t in the form l*t**2 + z*t + a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(-2*sqrt(209) + sqrt(209)) - ((sqrt(209) - (sqrt(209) + sqrt(209)*-2*1)) + sqrt(209)))\/(sqrt(44) + sqrt(1584) + sqrt(1584)*-2).\nAnswer: -27*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351115*-0.5.\nAnswer: 175557.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2736) - (-3 + sqrt(2736) + 0)) + sqrt(2736)))**2.\nAnswer: 648*sqrt(19) + 24705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2 - t - 2 - 2. Let g be o(2). Let n(y) = y**3 + 4*y**2 + 2*y + 6. Let w be n(g). Which is greater: -1\/2 or w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/15 + 12164278*s**2\/3 - 60821392*s\/15.\nAnswer: 2*s*(s - 1)*(s + 30410696)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/6)\/((-4)\/136)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a - b, -6*a + 2*b + 22 = -2*a. Calculate the highest common divisor of a and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -38. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42593*-143\nAnswer: -60.90799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/((-12)\/(-18)). Solve 0 = 2*d + 6, -k*l = 2*l - 3*d - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3407 divided by 1.\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h - 4 - 1\/3*h**3 + 1\/2*h**2. Suppose -3*b + 4 = -5*u + 5, -4*b = 2*u + 10. Calculate z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/15, -0.4, -0.034?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose -g = 2*g. Suppose g = 3*z - 5*j - 32, -2 = -3*z - 2*j + 2. Solve -2 = f*b - z*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/15 - 3922*p**3\/15 - 140032*p**2\/15 + 207584*p\/5 = 0. Calculate p.\nAnswer: -39, 0, 4, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12237, 4, -3 in decreasing order.\nAnswer: 12237, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*3*((-36)\/(-108))\/((-62)\/4)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, 1678, 2502, 3326, 4150?\nAnswer: 4974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19191042.1 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4653 and 1551.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**6\/48 + r**5\/20 + r**4\/32 - r**3\/12 + 18. What is k in q(k) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 4. Let v = 15 + -12. Let o be h(v). Suppose 0 = -b - 4, 112 = 2*d - o*b + b. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 4661\/(-472) + (-1092)\/32.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 (base 14) in base 16?\nAnswer: -25f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 3973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7. Let z = -6 + 3. Sort -5, z, r in descending order.\nAnswer: r, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 7*y**2 - 8. Give x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 6 = 0. Let d = 15 - -2. What is the remainder when d is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 32*b - 183. Give u(22).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-4*2\/(-28). Suppose -9*o - 11*o = 8*o. Which is the closest to o? (a) -0.4 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5 - -3) + 5. Let x(p) = 2*p - 3. Let s be x(r). Solve s = 3*y - 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-21))\/(16560\/5152)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytm. What is prob of picking 1 t and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8547*h - 991378. What is f(-116)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-58)\/4)*88\/(-33). Find the third derivative of -u*q**2 - 39*q**3 + 5*q**3 + 74*q**3 wrt q.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.2 greater than or equal to 51\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from {x: 1, b: 2, m: 4, d: 1, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(-10)\/(-15). Let k(r) = -r + 1. Let g(h) = -2*h**3 - 5*h**2 + 4*h - 2. Calculate o*g(w) - 2*k(w).\nAnswer: 2*w**3 + 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/2)*(r**(1\/9)\/r)\/r)**(35\/3) assuming r is positive.\nAnswer: r**(-1505\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*2 - sqrt(45)\/sqrt(3)*-2)\/(sqrt(21)\/sqrt(112) + sqrt(3) + sqrt(9)\/sqrt(3)*-4).\nAnswer: -64*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s**2 + 3*s + 2. Let t be l(-3). Let v(b) = b**3 + 6*b**2 - 7*b + 1. Calculate the remainder when 2 is divided by v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + -0.26. Which is the closest to -1\/8? (a) f (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*k - 3025, 5*c + 1483 = 4*k - 1539. List the prime factors of (-1*5)\/(-1) - (c + -169).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 193 - -a02?\nAnswer: b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 490 + -489.7. Which is the closest to -2\/7? (a) z (b) -0.4 (c) -3\/2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30341 divided by 1086.\nAnswer: -30341\/1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 13*o = -6*o - 5*o - 783 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*y + 132812 - 7673 = 2283*y for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/39)*a)\/(a*(a\/a**(1\/5))\/a)*(a**(-2\/9)\/a)**12)**(-1\/28) assuming a is positive.\nAnswer: a**(2831\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {z: 2, w: 6, h: 2, f: 1, t: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 49*l - 40*l. List the prime factors of -8 + l\/((-6)\/(-1182)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -4. Let v(p) = -p**3 - 10*p**2 - 11*p - 13. Let x be (-56)\/6 + (-5)\/(-15). Let o be v(x). Solve 10 = -o*y + 3*y + a*u, -2*y - 7 = -u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {m: 5, b: 2, t: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/((-44)\/55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 190, 340, 490, 640, 790, 940?\n\"Answer: 150*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d + 8. Calculate l(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - ((3*(3*sqrt(119) + sqrt(119)) - sqrt(119)) + sqrt(119))))\/(1*sqrt(7)*6).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -230*f + 423 + 122 - 56, 0 = -4*o + f + 49 + 65 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(108) + 1 + sqrt(12))) + -1.\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, z: 4, f: 2}. Give prob of sequence tztf.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 7*m. Let a(u) = -2*u**2 - 13*u + 2. Let z be a(-7). Let k(q) = -q**3 - 4*q**2 + 6*q + 10. Let s be k(z). What is the units digit of t(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.157 + 5.157. Let d = 6.98 - -0.02. Let i = -87 + 88. What is the nearest to d in i, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u**2 + u + 1 - 15*u**3 + u**3 - 2. Let z be p(1). Let m = 14 + z. Solve -20 = 4*b - m*w - 4*w, 14 = 2*b + 4*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99898 or -2297646\/23?\nAnswer: -2297646\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 3*j - 4. Let q be s(-3). Suppose 36 = -6*x + 2*x. Let k be 9*(12\/x)\/q. Solve 2*p + 3*i - 10 = 0, -k*i - 14 = -5*p - 5*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5421 and 0.4.\nAnswer: 2168.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718861 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 9*x**3 + 4*x**3 + (-3*x**2 + 2*x**2 - x**2)*(-12*x - 72 + 72) + (-3*x + 5*x - 3*x)*(-3*x**2 + 4*x - 4*x) + 3*x - 3*x - 2*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.6 - -61. Let h = -12 + j. Let a = h + -1.2. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -590840 - 0.88293.\nAnswer: -590840.88293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 41. Suppose -r = 3*c - 214. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9430000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9945\/221*(38\/(-27))\/((-16)\/24).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440867 + 23\/(391\/(-374)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = -3*c. Let o be (-1)\/((2\/2)\/(-7)). Solve -o = c*k - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 18*u**2 + u + 5. Let o be p(18). Let q be 0 + -7 - (-12 + o). Is q at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/((d\/((d\/(d\/d**(1\/6))*d)\/d*d))\/d)*d)\/(d\/(d\/(d\/d**(-2\/11)))))\/((d\/((d*d\/d**(2\/7)*d)\/d))\/d**(-2\/9))*((d**1)**13)**(3\/10) assuming d is positive.\nAnswer: d**(29026\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -0.03. Let z be (-42)\/(-15) + -1 + -1. What is the nearest to v in 2, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/91 - 267\/182. Sort 0, h, 4, -2\/9.\nAnswer: h, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/(t*(t\/(t\/(t*t*t\/((t*(t\/t**(-2\/9))\/t)\/t)*t*t)))\/t)*(((t*t*t**(-5\/4)*t)\/t*t)\/t)\/t*t**(9\/2) assuming t is positive.\nAnswer: t**(-235\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from {v: 1, h: 5, p: 3, z: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1966364 milligrams?\nAnswer: 196636.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94238405 and 59440?\nAnswer: 3715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*s - 14*s - 192*s - 142*s - 2*s**2 to the form a*s**2 + y + x*s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/456)\/(33 - (-3456)\/(-171)).\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*x = 10, 473*c - 471*c + x + 2 = 0. Solve 10*z - 6*z + 24 = c for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4 - 4)*(-5 - 1 + 1) + 3 - 3 - 3*w + 2*w - 1 + 1 + (-5 + 2 + 2)*(-6*w + 3*w + 2*w) - 2*w + 0*w + 3*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 3, t: 9}. What is prob of sequence sjt?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2434081817 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20959 - 20959. Let x(m) be the third derivative of -1\/12*m**4 + 0*m + c - 1\/3*m**3 + 37*m**2. Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 4*o**4\/7 - 94*o**3\/21 - 6*o**2\/7 - 1108. Factor u(x).\nAnswer: 2*x*(x - 6)*(8*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*h = 60, -2*n = -n - 4*h + 25. Let g = n + 86. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 - 0.1. Let x = 0.3 - 0.2. Let d be ((-3)\/8)\/(0\/(-11) + -3). Which is the nearest to -1\/3? (a) d (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -59. Let d(c) be the second derivative of 5\/3*c**x - c + 3\/10*c**5 - 7\/6*c**4 + 0 - c**2. Suppose d(u) = 0. Calculate u.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-585)*(1*6)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -426626 + 426630. Factor 8\/3*d**h + 0*d + 2\/3*d**5 + 0*d**2 + 2*d**3 + 0.\nAnswer: 2*d**3*(d + 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338757 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 526810729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 15*r**2 - r + 2 - 12*r**2 + r**3. Calculate g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-3)\/24 - 0). Let v be (-2)\/o + 15\/(-12). Which is the smallest value? (a) 0.3 (b) -10 (c) v (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**5\/60 + s**4\/12 + 2*s**3\/3 + 13*s**2. Let o be x(-6). Let w = o + 83. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 4 + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 145096?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -35. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.548432915 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14306698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -94198 (base 10) to base 11\nAnswer: -64855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(209) + (-3*sqrt(209)*1 - sqrt(209) - sqrt(209)))\/(4*sqrt(275)) + -3)**2.\nAnswer: -12*sqrt(19)\/5 + 301\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 34*u**2 + 5*u + 14. Let b(z) = z - 21. Let w be b(15). Let s(i) = -i**3 - 5*i**2 + 9*i + 13. Let y be s(w). Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 3. Let o(t) = -t + 2. Give -5*o(j) - 3*v(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 47. Let s be o(17). Solve 5*h = 4*h - 4*x + 15, -12 = -s*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 5*p**2 + 10. Let h be z(0). Suppose -68314 - 133686 = h*q. Round q to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 535473 to the nearest one thousand.\nAnswer: 535000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.7 + 13.25. Let n = z - 26. Let r = -0.05 - n. Which is the smallest value? (a) -1 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 8) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 12 = -24*k + 27*k, -7*p = 2*k - 143 + 135 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 31021 = v, 10789 = -4*c + v + 35613. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 - 0?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ggpn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44855035019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*n**3 + 14*n**2 - 7*n**2 - 7*n**2 - 642*n**3.\nAnswer: 73*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4388f3 + 4?\nAnswer: 4388f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 - 40 + 15)*(t - 1 + 1) + (2*t - 2*t + 2*t)*(-4 + 3 + 2).\nAnswer: -157*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1352143.6 + 0.1.\nAnswer: -1352143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.03. Suppose i = -s - 7, -36*s + 10 = -38*s. Which is the smallest value? (a) p (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(1*sqrt(10)))\/sqrt(12) + sqrt(15)\/(1*sqrt(300) + sqrt(300)).\nAnswer: 21*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 93. Let t be d\/(-12) - 3\/1. Which is the nearest to 1? (a) -0.1 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277847111847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -5504321?\nAnswer: -5504234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 2. What is the highest common divisor of t and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 904*6\/(-496) + 12?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33787400*o**3 + 25280373*o**2.\nAnswer: -202724400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 145033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-35)*m**(22\/3) assuming m is positive.\nAnswer: m**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1190\/9, -1, 1 in decreasing order.\nAnswer: 1, -1, -1190\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3961, 15906, 35947, 64192, 100749?\nAnswer: 145726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/246517?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 51. Suppose 0 = -v*w + 1808 - 6448. What is w rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686093621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -811*u**2 + 6*u + 553. Let g(r) = -2429*r**2 + 17*r + 1663. Let w(q) = -6*g(q) + 17*l(q). Find the first derivative of w(i) wrt i.\nAnswer: 1574*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2\/10 + 4\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-6 + 1) - 4)\/(2940\/(-19992)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:21 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3*o - 5, -10656 = 4*n - 5*o - 10636 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -42, -98, -158, -222?\n\"Answer: -2*d**2 - 46*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 32*a**2 - 88*a + 65. Determine l(-29).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 173, 321, 469, 617, 765, 913?\n\"Answer: 148*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (26\/4)\/(10\/(-20))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314860864*r**3 + 71253145*r**2?\nAnswer: 1889165184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144300)\/(-5106) - 18\/69?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12812992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6*(-7)\/42.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = 4*s - 17, 3*p = -2*s + 9. Put 7, p, -3, -4 in ascending order.\nAnswer: -4, -3, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 - j**2 + 2*j**2 + 8*j - 8 - 4*j**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 32. Calculate n(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 2*i + 37 = -2*y + 9, -5*i = 15 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 10*k**2 + 7*k + 9. Let q be o(9). Which is smaller: q or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132391\/20 - 6621. Let q = 5\/4 + f. What is the smallest value in -5, q, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 68 = 3*p, -5*f + 3*p = 8*p - 160. Solve 22*h = f*h + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let n be y(0). Find the common denominator of 17\/10 and n + (-116)\/(-10) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let i(n) be the first derivative of -373*n**2\/2 - 196. What is i(w(o))?\nAnswer: 373*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and 0.06997?\nAnswer: -0.181922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 97469*g - 584737. Determine w(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -0*d - 3*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90916622*p**3 + 8564471*p**2 - 2*p?\nAnswer: -545499732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -293*r - 12. Let p be l(-6). Suppose -3*t + p = 3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/601 or -506\/7?\nAnswer: -506\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/6*w**4 + 0 + 3*w**2 - 1\/20*w**5 - 7*w + w**3. Is g(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 1776 - 2072 - 250)*(5*f - 2*f - 5*f - 4*f + 3*f + 2*f + (-4 + 5 + 1)*(2*f - 2*f - 2*f)).\nAnswer: 19810*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (68\/51 - (-2)\/3) + 0. Solve -3*k - b*k + 24 = -2*r, -5*k + 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288054484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17139167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 2 + (-2 + 2 - 3)*(-1 + 3 - 3))*(0*t + t + 6*t).\nAnswer: 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (-5 - -2 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4123*q - 4145*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:26 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/9 + 9910*r**4\/9 + 59522*r**3\/9 + 49610*r**2\/9 = 0.\nAnswer: -5, -1, 0, 4961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -1. Let o be 3\/(-4) + (-46)\/y. Solve 2 = -o*i + 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36\/19 - 49\/76. Which is greater: l or 0.07?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 70364*f**2. Let d(x) = 2*x**2. What is d(q(a))?\nAnswer: 9902184992*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4659765?\nAnswer: 3, 5, 11, 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 239577996 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v - 12 = 3*h, -3*v - 4 = -h. Let u be (2 + -1)\/(v\/(-22)). Suppose -5*a = -3*m + u, 3*m + a - 5 = -0*a. Solve -m = 3*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -23.58. Let i = t + 1.7. Let q = i + -1.38. Is q greater than or equal to 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -3) + 0 + -8 + 48 + -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) -0.3 (c) -5 (d) -30712 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000077699363 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -10. Suppose 2 + d = q. Let p be 2\/(-4) - (-5)\/q. Solve p = 2*y + 9 - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2736 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (76 - 69) - -16?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.45064ml in litres?\nAnswer: 0.09645064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 73*u + 786. Give o(15).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-198)\/(-243)*2\/8*15 and 29\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let p(k) = -42*k + 1022. Let q(n) = n + 3. Let t(h) = 5*p(h) - 70*q(h). Let c(s) = -t(s) - 4*u(s). Factor c(y).\nAnswer: -4*(y - 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012 + -3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**6\/60 - k**5\/10 + 9*k**4\/40 - 7*k**3\/30 + k**2\/10 - 9. Suppose i(z) = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a - 39. What is the remainder when 62 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -1968, -5710, -12318, -22560, -37204, -57018?\nAnswer: -82770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818775 is divided by 409384.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - 5*w**2\/2 - 5*w + 6. Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 62. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 44*o + 13. Let p be j(-4). Let s = 178 + p. Suppose 0*w = 3*w - 177. What is the remainder when w is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 2336?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*n = n + 5, 5 = -5*n. Solve m*h + 10 = 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 5*a + 6. Suppose 2*q - 6*q = 4*g + 92, -5*q = -3*g - 45. Let x be (g\/(-8))\/((-1)\/(-2)). Determine p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331111200*x**3 + 2*x**2 - 316226424 wrt x?\nAnswer: -1986667200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 14470*k**2 - 39084*k**2.\nAnswer: -24614*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from hhfhhhfhh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h + 4*h - h)*(-h + 2*h - 3*h).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10\/n)**(-17\/6)\/(n**17\/n**(-2\/39)) assuming n is positive.\nAnswer: n**(-3319\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from {u: 3, r: 9}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -116 - (0 + (-22 - -29 - 22) + 19)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w + 3*w)*(-w**4 + w - w)*((-1 - 3 + 6)*(3 - 3 + 1) + 1 + 0 + 0 - 1 + 0 + 3).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8985425 times -2.1?\nAnswer: 18869392.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3290)\/4136)\/((-220)\/968)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3346 divide 148649396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28692 + 28701. Solve 117*i + x = 116*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5.04. Let o = -3.04 - x. Let b = 3.00016 + o. What is b rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 988 divide 42865935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g + 218 - 204 - 542 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 55. Let m(c) = -51*c**2 - 676. Determine t(m(g)).\nAnswer: -102*g**2 - 1407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:50 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h - 5*h**2 + 7*h**2 + 10*h**2 - 9*h**2 + (-2*h**2 + 3*h - 3*h)*(-3 + 4 + 1).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30748301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.1421, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30285757 - 4?\nAnswer: 30285753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 85 and 114.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/5)*f**2)\/(f\/f**(-1))**(32\/5))\/((f**(-3\/7)*(f\/(f\/(f\/(f*f\/f**(-1\/3))*f)))\/f)\/(f**(-4)*(f*(f\/(f\/(f\/f**(1\/6))))\/f)\/f)) assuming f is positive.\nAnswer: f**(-2941\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6293046?\nAnswer: 2, 3, 929, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 57 = 0. Let d = k + -15. Suppose -i = v - d, i + i = -10. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l + 222 = 16*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((sqrt(48) + 1*sqrt(48))\/sqrt(6)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3222, -2954, -2532, -1950, -1202, -282?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2130233?\nAnswer: -4\/2130233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212372151*y**2 + y + 121840447.\nAnswer: 424744302*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 - 5817*d**4 - d**3 + 14190*d + 4.\nAnswer: -20*d**3 - 69804*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62821612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8109708 and 2115576?\nAnswer: 48658248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131 + 228. Let o be (1 + -4)\/(-1) - 11. Let w = o + u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64202417 rounded to three decimal places?\nAnswer: -0.642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(44) - sqrt(44)*-2*5))\/sqrt(4).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/85 and -47\/85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 25, 33, 41, 49, 57?\n\"Answer: 8*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 5*g + 69, -j + g + 77 = 0. Suppose 5*x - j = -2*c, -4*x = c - 2*c + 7. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 = -3*m, 3*k + 14 = m - 1. Solve 0*z + m = 2*h + 5*z, 3*h - 11 = -z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/(-98)*(-35)\/15. Let j = 2 + -2. Which is the nearest to j? (a) 6 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.4, 2\/27, 0.3, 0, 5 in ascending order.\nAnswer: 0, 2\/27, 0.3, 5, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -8566, 0 in descending order.\nAnswer: 3, 0, -3, -8566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*c = -c + 89, -2 = -c. What is the least common multiple of (-22)\/(-209) + 169\/19 and q?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.3 * 18\nAnswer: 293.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3051 = 104*l + 9*l. Calculate the highest common factor of l and 10314.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*l + 587*l = 1696*l - 142071 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l**2 - 94*l**3 - 9*l**2 + 2*l**3.\nAnswer: -92*l**3 + 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.5 - -60. Let o be (2\/2)\/((-12)\/(-8)). What is the nearest to o in 0.5, -1\/5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*l - 4*l. Let h = -4.5 + 5. Which is the nearest to l? (a) -2\/15 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27149\/180 - 724\/5. Let h = -52\/9 + m. Which is the third smallest value? (a) 0.1 (b) h (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 12*c**2 - 6*c**2 - 8*c**3 - 5*c**2 - 5*c**2 in the form h + p*c + g*c**2 + d*c**3 + a*c**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93635698 and 6.\nAnswer: 561814188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46842 and 6?\nAnswer: 46842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 321355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -678 + 218435*o - 218981*o + 11 wrt o?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -317.\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2480589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 19*b**2 - 2*b - 47. Give i(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840688?\nAnswer: 2, 29, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81\/4 - 20. Let t = 3 - 2. Sort t, -3, d.\nAnswer: -3, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**11\/y)*y))\/y)**(-34) assuming y is positive.\nAnswer: y**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7694*c**2 + 2563*c**2 + 317*c + 2564*c**2 + 2569*c**2. Let d(h) = -4*h. Determine u(d(b)).\nAnswer: 32*b**2 - 1268*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82.9 from -39912.\nAnswer: -39994.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n - 4*n + 9*n + 3*n)*(46*n - 14*n - 370*n + (8 - 8 - 5*n)*(-1 + 2 + 0)) in the form m*n**2 + c + a*n and give m.\nAnswer: -5145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 10 = 26. Factor -4*v**4 + 100*v**2 + 3*v**3 + 5*v**4 - g*v - v**5 - 101*v**2.\nAnswer: -v*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 5 = 23. Sort t, 8, 3, -1 in descending order.\nAnswer: 8, 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 383\/6. Let p = 79 + -712\/9. Which is the closest to 2\/7? (a) n (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*k + 4*i + 17, 2*i = -k + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64176649 to the nearest integer?\nAnswer: 8011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -924 at least as big as -923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Let n be (27\/(-3))\/m - -4. Solve 1 = -2*h - n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10665 and 36261?\nAnswer: 181305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4))**(2\/61)\/(h**(-1\/8))**49 assuming h is positive.\nAnswer: h**(2977\/488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + -18 + 1 + 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 1 + 3. Let n(y) = -y + 1. Let x be n(2). Let l = c - x. Solve 2*f + l*f = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 2*i - i, -14 = -n - 4*i. Let a(z) = 4*z**2 + 0*z**2 - z**2 - 5*z**n. Let t(m) = 8*m. What is a(t(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*w - 5*l, 4*l - 43 + 186 = 5*w. Suppose -2*g + w = 4*k - g, k - 28 = 4*g. Solve -14*u + 12*u = k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -653\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96.00000046 + 96. What is g rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819366081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41486510?\nAnswer: 2, 5, 13, 319127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/22 + ((-7)\/(-99) - 5\/(-45)). Let l = -34.4 - -34. What is the nearest to 2\/13 in l, -1, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 26 = -3*y, -4*y + 3*d + 3 + 4 = 0. Let n(h) = 7*h + 3. Let g be n(y). Let i = -5 - g. What is the highest common divisor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuunnnuu. Give prob of picking 3 u and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 - 3*o**4 + 5*o**4)*((1 - 1 - o)*(0 - 1 + 3) - o + 0*o + 2*o - 4*o + 2*o + o)*(-565 - 772 + 278)*(-3 + 3 + 1).\nAnswer: -4236*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = g - 177, 4*g + 10 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -21, -1 in ascending order.\nAnswer: -21, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:22 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10824082 is divided by 3814?\nAnswer: 3764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 15950.157 to the nearest 10.\nAnswer: 15950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {m: 1, i: 1, z: 1, e: 12, q: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 467651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*p + 2 + 2, -5*c = -4*p - 4. Suppose 2*o = 4*o. Suppose -2*q - 5 = 5*g + 4, o = g - 4*q - 7. Is c < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:52 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:42 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/171*3*(-41)\/(-164).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v**2 - 14*v**2 - 3*v**2)*(0*v - 2*v + 0*v) - 7*v**3 + 8*v**3 - 6*v**3.\nAnswer: 65*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674240 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + -4*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) - 5*(-2 + sqrt(1584) + sqrt(1584)))) - sqrt(1584))**2*-1*4)*-2.\nAnswer: -30432060 + 460800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 0.22. Let y = 0.1 + p. What is the nearest to y in -1\/2, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43128 >= 43132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*f - 1 - 11, p = -5*f + 17. Suppose 6*t = p*t. Suppose t = -k - k - 4. Which is the closest to 0? (a) -2\/5 (b) -1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4*h + 5*h + (h + 2 - 2)*(-1 + 1 - 1))*(-5*h**3 + 2*h**3 - 16*h**3).\nAnswer: 38*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -71, -162, -321, -566?\n\"Answer: -3*j**3 - 7*j**2 + j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 smaller than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*m + 398*m - 608 = 0. Let p(l) = l**3 + 6*l**2 + 4. Let y be p(-6). Solve 2*f + 8 = 4*z, -y*f - z + m*z - 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 0*l + 3*l)*(56 + 84*l - 56)*(1 - 3 - 1).\nAnswer: 504*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*m - 2*x - 1, 0 = -3*m + 4*x + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18942, -36829, -54716, -72603, -90490, -108377?\n\"Answer: -17887*d - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1838259 less than 7?\nAnswer: 9.1838259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i**23\/i))\/i*i*i)\/(i\/((i\/i**(10\/3))\/i*i))*((i*i**(-28)\/i*i)\/i)\/i**(-23) assuming i is positive.\nAnswer: i**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9542 + -9542. Let n(u) be the first derivative of j*u**4 - 5\/2*u**2 + 0*u + 7 + 0*u**3 - 9\/2*u**6 + 0*u**5. Find the second derivative of n(f) wrt f.\nAnswer: -540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451 + -716. Which is greater: -1168 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111100111000010 (base 2) to base 13\nAnswer: -3502c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8604, 17347, 26378, 35841, 45880, 56639?\nAnswer: 68262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d + 15*d + 19*d**3 - 17*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -333851, -1335425, -3004727, -5341757?\n\"Answer: -333864*i**2 + 18*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -8. Let h be (-6 - -6)\/(r\/2). Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10734, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 9. Let x = -4 - a. Sort 0.3, -2, x in descending order.\nAnswer: x, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 36*n**2. Let i(k) = 895*k**2 + 2. Calculate i(t(o)).\nAnswer: 1159920*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 140?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*t + 63*t. What is the second smallest value in t, -1, 34.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160741 and 10178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -44. Suppose -c + 13 = 2*l. Solve -3*n - 2*w - 3 = 0, -n + l*w + 7 = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 794024\/(-6) - (-1)\/3. Let j = -246337 - v. Round j to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 164 = 168. Suppose 0 = d - 3*d + c*p + 10, -5 = d + p. Solve d = -2*j + 3*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 3*i - 8*i - 142 = -46*y, 5*i + 3 + 100 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, t: 3}. What is prob of sequence rrt?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:28 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -241, -952, -2137, -3796, -5929?\n\"Answer: -237*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 486098*t**2\/11 - 70992*t\/11 + 2592\/11.\nAnswer: 2*(493*t - 36)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38757 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/8 - -4)*(3 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 846 - -532. What are the prime factors of y?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236817 is divided by 1308.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 8) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - h + h. Let j(a) = -2*a**2 - 1. Let x(w) = 7*w**2 + 4. Let y = -238 - -239. Let s(m) = y*x(m) + 4*j(m). Give q(s(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -0.21. Let p(y) = -y**3 + 43*y + 107. Let w be p(-3). What is the third smallest value in x, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004879 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(4 + 25\/(-5)). Let q be (-37)\/c - (-6)\/(-15). Suppose -q*o + 498 = -4*o. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 12. Let m be o\/22 - 50\/330. Which is the biggest value? (a) m (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 2. Suppose 0 = 5*i - 17 - 3. Let j be m(i). Which is greater: 3\/7 or j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/11*27*980\/(-9450).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 254 = -5*v - 2230, 0 = -5*v + s - 1982. Let g = 118\/71 - 3499\/781. Find the common denominator of g and 6\/v*-69*(6 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1297837688\/35 - (-2)\/10. Let y = 1481074 - x. Let v be y\/4 - 12\/(-16). What is v rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771755 is divided by 18375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212200 + -2211110222?\nAnswer: -2212100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4327\/(-665) + ((-5)\/(-5) - -4). Let h = n + 27\/19. Let t = -1 + 1.1. Which is bigger: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14988348281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 17*r - 101. Give f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 2, i: 1}. What is prob of sequence bbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/3744 and -79\/57.\nAnswer: 71136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276.9 - -217. Let k = -60 - p. Is k not equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.021 - 9.379. Let i = o - -11. Let m = 1.1 - i. What is the second smallest value in m, 0, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibnibinrnn. What is prob of picking 1 b, 1 r, and 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/60 - h**5\/15 - h**4\/24 + h**3\/3 - 2*h**2. What is the tens digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4077238 by 2651.\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 + -4.7. Let u = -0.019 - 1.081. Let x = u + h. What is the closest to 0 in 2, 5, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -2 + 3 + sqrt(39)\/sqrt(3) + -3)*-6 + -3.\nAnswer: -6*sqrt(13) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - 3\/10. Let m be -4*3 + (-88 - -100). Which is the third smallest value? (a) x (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206677 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 141085?\nAnswer: 141084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/4)*a\/a**(-1\/4)*(((a*(a\/(a\/(a\/((a**(-2)*a)\/a))*a*a))\/a*a)\/a)\/a)**(4\/15) assuming a is positive.\nAnswer: a**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718*q - 3177 = 1365*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52383?\nAnswer: 3, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.5, -311, 1\/5, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*d - 0*z - 38, 5*d - 2*z = 25. Suppose 6 + 15 = -d*m. Is 32 a factor of ((-168)\/(-5))\/(m + 126\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x - 11\/3*x**3 - 5\/2*x**2 + 0. Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 2 m when four letters picked without replacement from {y: 7, z: 1, m: 3, j: 3, p: 5}.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 3*g**3 - 2*g**3 - g + g**3 + g + (-3 + g + 3)*(-g**2 + g**2 + 2*g**2) - 10859*g + 10859*g + 459*g**3.\nAnswer: 463*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-816)\/(-72352))\/((-12)\/32998) - -31?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92\/24 - 4)*3*2. Let m be g*(-2 - -1 - 11). Suppose -10 + m = -2*t. Which is greater: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5))**(-7\/9)*(((z\/(z\/z**(-5\/6)))\/z)\/z)\/(z**20*z) assuming z is positive.\nAnswer: z**(-359\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126569 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 36*y + 13. Determine m(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 542 + -23?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 1 - 1. Let l be (z - (-3 + 0)) + -1. Let t(w) be the first derivative of 7*w**4\/4 + w**2 - w - 1. What is t(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*w + 29 = -w, 4*z = -4*w - 12. Suppose -3*b + 10 - 1 = 0. Suppose -c - b = 3*y - 9, 3*c + 3*y = 18. Put z, c, -3 in descending order.\nAnswer: c, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*p**5 + 3*p**3 - 863*p**2.\nAnswer: 3300*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5\/3 + 340*m**4\/3 + 7028*m**3\/3 + 39244*m**2\/3 + 73760*m\/3 + 41200\/3 = 0. Calculate m.\nAnswer: -10, -5, -2, -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 + 201 - 6*s)*(-1 + 1 + 3*s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 902*v**2 - 7*v - 140. Let d be y(13). Suppose 16*w - d = -44511. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31363649 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329 - 4*v**3 + 7*v**3 + 329.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/(-65))\/((-4)\/(-263210)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1615*g**3*u + 2*g*n*u - n*u - 11*n + 31*u wrt g?\nAnswer: 4845*g**2*u + 2*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + (16 - 11). Which is greater: 9 or a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l + 2. Let u(s) = 60 - 184 + 19*s + 61 + 59. Calculate 2*u(i) + 5*y(i).\nAnswer: -7*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 313\/8. Let d be 72\/32 + (0 - 3). Let f = -0.0537 + 0.0537. What is the nearest to f in d, 0.7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 524*s**2 + 6*s - 7. Let v be b(1). Let n = v - 524. Let x = 213281\/124 + -1720. Is x bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 0 + 0)*(4 - 1 + 0) + 6*b + 10*b + 7*b)*(-3*b + b + b).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105*6\/42 + (-120)\/(-7).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81043375*i*w**2 + 768*i*w + 4882*i - 3*w + 2 wrt w?\nAnswer: 162086750*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6311655 is divided by 332192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 25*f + 24*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -29. Solve 0 = -a - 5*y + 26, -3*a + z + 5 = 2*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 30. Let h be a(-14). Let j = 53 - 55. Let k(v) = -4*v**2 + 8*v**2 + v - 5*v**2 - 1. Let y(u) = u**2 + u. What is h*y(f) + j*k(f)?\nAnswer: 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/90)\/8*-3*(-27)\/(-18)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5\/3, -1, 8\/3, 10034?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 2*sqrt(104))*-3 + sqrt(104))\/(sqrt(128) + sqrt(128) + sqrt(128)*1 - sqrt(8)) + 2*(sqrt(1053) + -2)**2*-1.\nAnswer: -2114 + 784*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - (9 - 11) - (-7 + 23))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 49. Give c(16).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23278 - 23272. What is the third smallest value in 0.044, -0.01, u, -2, -2\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84792962.\nAnswer: 2, 42396481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:18 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/37 in -0.4702, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18*f = 2*f. Suppose f = -84*n + 81*n + 447. What are the prime factors of n?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-2))\/(375\/(-150)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 21*h + 2. Let m(l) = l. Give -5*m(o) + x(o).\nAnswer: 16*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517577?\nAnswer: 517577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7559 is divided by 5995?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 5}. Give prob of picking 2 f and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 2*v - 6. Suppose 5 = -2*a - 7. Calculate the lowest common multiple of 10 and l(a).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 17. Let j(x) = x**2 - 4. Let o(i) = 9*j(i) - 2*q(i). What is the derivative of o(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3454 is divided by 315?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2625*j**2*y**2 - 2*j**2 - 22*j*y**2 - 10*j - y wrt j.\nAnswer: 5250*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.574084 and -7.\nAnswer: -4.425916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11)**(8\/5) assuming w is positive.\nAnswer: w**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000447235 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5666055mg?\nAnswer: 0.0000000005666055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/3, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*t - 22 - 15, n = 4*t + 31. Which is the nearest to -0.008? (a) n (b) 2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -32*t - 188 - 188 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o - 5*q + 9 = 0, -4*o = -2*q - 6. Suppose 0 = 2*b + 2*b. Factor -2\/7*w - 2\/7*w**o + b.\nAnswer: -2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12581605 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/5 - 1218*u**4\/5 - 58602*u**3\/5 - 168478*u**2\/5 - 166032*u\/5 - 54936\/5 = 0. Calculate u.\nAnswer: -42, -1, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15)\/g**(-1\/7)*((g**(-8)\/g)\/g*g)\/(g**(4\/5)*g) assuming g is positive.\nAnswer: g**(-898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2814 - -0.036282884.\nAnswer: -0.245117116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9102 to 2 dps.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002005811 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/(-3))\/8)\/((-2)\/3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 983*v**2 + 3*v - 2664*v**2 + 841*v**2 + 841*v**2 + 0*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (276\/12)\/(-1*1*((-221)\/(-13))\/17)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932573 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -22*j**3 + 1089*j**2 - 8676*j - 112. Calculate r(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (268*u**2 + 711*u**2 + 320*u**2)*(-4 + 1 - 5 - 10).\nAnswer: -23382*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -61 times 3\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11855 + 11905. Let z be (50\/6)\/((-2)\/(-6)). What is the greatest common factor of o and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (4 + -15) - (-1 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.16 plus 15588?\nAnswer: 15613.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/84)\/((35\/10)\/7).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 70. Suppose -t = -7*l + 4*l - 5*s, -2*s - 5 = -l. Let p = l - 11. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47996 and 1278?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4 - -239) + (-1 - 2). Let t = w + -467\/2. Factor t*d + 21\/4*d**2 + 9\/4*d**3 + 0.\nAnswer: 3*d*(d + 2)*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71952562205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 450 = 27*a. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11256, -11464, -11804, -12276, -12880, -13616?\n\"Answer: -66*b**2 - 10*b - 11180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/9 (b) 4 (c) -1\/209 (d) -2\/9 (e) -4.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 36026*s - 1. Let b(n) = -16*n. Give z(b(v)).\nAnswer: -512*v**2 + 576416*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 26 + -10 + 8. What is the units digit of i\/4 + -2 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352655*v**3 - 26*v**2 - 16*v wrt v?\nAnswer: -2115930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -208.3 + 208. What is the biggest value in -2\/9, -0.31, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 + -16 + -3)\/(-85).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3072) + sqrt(432)*-2)**2.\nAnswer: 16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*3*4285\/3428?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*p**4 - 155*p**3 - 303628*p**2 wrt p?\nAnswer: 648*p - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -72, -61, -46, -27?\n\"Answer: 2*g**2 + g - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*x = 60*x - 57 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13454 - -76?\nAnswer: -13356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 2 = -2. Let p be -6 + 6 + (f\/(-1))\/(-1). Suppose 4*m - 3*q + 8 - 26 = 0, -3*m + q + 11 = p. Solve 4*g + 4*c = 5*g - 11, 2*c = -m*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-4 + 2)) + (-6 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) 0.5 (c) -6\/268343 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 33 - 24 = -32. Put -3, 2\/15, 3\/7, 3, n in decreasing order.\nAnswer: 3, 3\/7, 2\/15, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 8. Let z be l(-6). Let i be (-12)\/(-9) + (-22)\/(-6). Solve 2*y + i*b = 5, 3*y + 4*b - z = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 33 = -f - 3*t, -2*f + t + 35 = 0. What is the lowest common multiple of 10 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s + 257. Let g(i) be the first derivative of i**3\/3 + 3*i**2\/2 + 7*i + 3. What is the remainder when g(-10) is divided by d(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2851\/11 - -259. Put x, -2, -14, -1 in ascending order.\nAnswer: -14, -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157 minus -2?\nAnswer: 1.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*h**2 + 2 - 298*h**3 + 305*h**3 - 2.\nAnswer: 7*h**3 + 66*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 2 - (0 - -1). Let j = -1\/39 + -35\/156. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 4*k**2 - k**3 + (2*k**2 - k + k)*(-2*k + 0 + 0))*(-k + 1 - 1).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1198280 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - -70. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20387555791.323 and -8.\nAnswer: -20387555799.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1770*f - 3. Let l(p) = -3550*p - 7. What is -2*l(w) + 5*n(w)?\nAnswer: -1750*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 + 0*o**2 + 7*o**2 + 10*o**2 - 6*o**2.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -305496.39 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**(2\/29))\/i*i*i)\/i**(-1\/3))**(1\/21) assuming i is positive.\nAnswer: i**(284\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 133\/162637 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**7\/5040 + 7*x**5\/30 + 34*x**2. Let v(r) be the third derivative of u(r). Let a(p) = -9*p. Calculate v(a(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 2 + -25 + 4 - 3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1*(495\/(-198) + 0 + -17). Let z(m) = 16*m**2 - 5*m. Let p be z(6). Calculate the greatest common factor of a and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.3. Let u = g + -0.5. Let t = 0.5 + u. What is the third biggest value in 2\/13, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.4 (c) 4\/9 (d) 2\/13 (e) -172 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -166, -233, -358, -559, -854, -1261?\n\"Answer: -3*j**3 - 2*j**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2142 minus -7442868?\nAnswer: 7440726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**3 - 7*r**2 - 20*r - 29. List the prime factors of m(-11).\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - d + 4*d)*(0 + 1 - 2) + 0 + 0 - d + 2 - 2 + d + d + 2*d - 1 - 1 as s*d + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p + 2*o + 6, 4*p - 4*o = -24. Let g be (p + -1)*(-10)\/8. Solve 3*d + 1 = -2*m, 0 = -m + 6*m + g*d - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1158*v**2 - 4*v - 4. What is the thousands digit of n(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (19 + -5)\/(-7) + (2291 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98.0743 and 0.1.\nAnswer: 9.80743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c = 70 - 223 + 855 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183849?\nAnswer: 3, 61283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25462 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: How many minutes are there between 4:02 PM and 11:21 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaho when four letters picked without replacement from hfpfaoffhhfffifffhh?\nAnswer: 5\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(130)\/(sqrt(90)\/sqrt(9)) - sqrt(13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*j - 4*t, 4*t + 16 = 3*j + 31 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11\/3)*a**(-1\/51)*a*a**(1\/8)*a**(4\/3)*a assuming a is positive.\nAnswer: a**(-31\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - q**2 - 2*q - 1. Let x be r(-1). Suppose 4 - x = n. Let o be (1 + 1\/n)*-3. Sort 5, o, -5 in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5\/131 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 + 54*o + 96 = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 1, v: 5, z: 1, y: 3, p: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*-286\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*d**4 - 24*d**3 - 25*d**4 - 973 + 58*d**4 - 6*d**4 wrt d?\nAnswer: 12*d**3 - 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2252060, 4504116, 6756172, 9008228, 11260284, 13512340?\n\"Answer: 2252056*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 10*r + 16. Let x(w) = 7 + 4 - 2*w**2 - 2*w - 5*w. Let h(a) = -5*l(a) + 7*x(a). Let z be h(-3). Solve -f + 12 = z*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 2091 = 265. Which is the nearest to w? (a) -4 (b) -0.03 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 43 = -5*v. Is (v\/20)\/((-1)\/30) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7511)\/(-841) - (-2)\/29?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.973 + 3.573. What is the third biggest value in -2\/9, q, 2\/7, -2.4, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.428 - 26.436. Let z = -0.008 - v. Let c = z + -21. Put -0.4, c, 6 in descending order.\nAnswer: 6, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1 less than 1.67823?\nAnswer: 6.77823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6791248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3344\/259 - -90\/7. Let b(y) = -5*y**3 + 2*y**2 - y - 1. Let v be b(1). What is the second biggest value in v, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 37*c**2 + 39*c - 185. Give t(-38).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/22 and (10\/(-8))\/((-6)\/33)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13683126 is divided by 5860?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - 15 + 78. Let r(t) = -t**3 + 5*t**2 + t + 14. Let n be r(u). Let h = 101 + n. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -11)*(-1)\/9. Let d be (-36)\/(-15) - (-10)\/(-25). Put x, -5, -8, d in decreasing order.\nAnswer: d, x, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -14*r**3 + r - 3. Let x be s(2). Let t = x - -657. What are the prime factors of (t\/20)\/(6\/15)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099.3628 rounded to the nearest 10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -51. Suppose 9*o + f*o - 24 = 0. Solve o*r = 4*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -25*r. Let c = -13 + 18. Let t(s) = -c*s**2 - 2*s**2 + 5*s**2 - s**2. Give k(t(w)).\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 + 620 = 28*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 5*y - 16. Let p be (1159\/22)\/(y + 40 - 4). Let k = p + 11\/64. Is k bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*26*175\/16380\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -84082073\/12 > -7006839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2312 is divided by 331.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66858 or -66667?\nAnswer: -66858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11902024.\nAnswer: 2, 1487753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 26. Suppose -4 = -g - 3*o, -3*g - 2*g - 4*o + 31 = 0. Let c(n) = 6*n - 25. Let p(v) = g*c(v) - 6*j(v). Is p(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2611 - 2511 - 60*d + 7912*d + 5122)*(0*d + 0*d - d + (0 + 3 - 1)*(-1 + 1 + d)) as o*d + m*d**2 + z and give m.\nAnswer: 7852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 18.8. Let k = -14 + f. What is the third biggest value in -1\/7, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 28*v. Let y(a) = 4*a - 5*a - a + 3*a. Calculate j(y(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -774 divided by 185?\nAnswer: -774\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-3*u + 2*u - 2*u)*(0 - 2 + 0).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455 is divided by 492.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 4*c + 4. Let d be f(-6). Let w(l) = -12*l - 8*l + 6*l + 9 - 5*l. Is w(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287878 (base 11) to base 3\nAnswer: -211211201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 140, 284, 426, 566, 704?\n\"Answer: -k**2 + 147*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 28. Let i = 38 + -24. Let x be w(i). Suppose 4*c = o + 16, 7 = 5*c + 2*o - x*o. Solve c*f + 0 = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -9 - 4*d + d**3 - 1\/2*d**2. Let w be p(3). Calculate the greatest common divisor of w and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = 403*d - 390*d. Is d smaller than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 28 = 3*r - 30, 38 = -3*t + r. What is the hundreds digit of ((-6076)\/21)\/t*66\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0)*(-2*i - i + i)*(-5*i**3 + 3*i**3 + 0*i**3) + 94*i**5 + 56*i**5 + 48*i**5.\nAnswer: 190*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5 - 1. Calculate the smallest common multiple of (-26)\/d + 12\/18 and (72\/(-20))\/((-2)\/5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.0848384 to two dps.\nAnswer: -341.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 2. Let q(m) be the first derivative of 26*m**3\/3 - 3052. What is r(q(n))?\nAnswer: 104*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*h + 2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6))\/(1\/(-8)). Let a(c) = c**2 + 19*c + 32. Let h be a(-16). Let l be (-55)\/j + (-4)\/h. Solve -5*t + 27 = -2*t - 3*n, -2*t + l = -n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 14*p - 20, -306*a - 4*p = -303*a + 136 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-36))\/((-2)\/104*-4) and -9\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44087, 87908, 131731, 175556, 219383, 263212, 307043?\nAnswer: 350876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8942 times -2\nAnswer: 17884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 89 = 37. Suppose y + 2 = 4*o. Let b(n) = 162*n - 635. What is the remainder when b(4) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a meter in centimeters?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8484042 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, -6, -4, 2, -5, -7, 23 in decreasing order.\nAnswer: 196, 23, 2, -4, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 95, 2\/21, -0.01, -24\/5 in decreasing order.\nAnswer: 95, 2\/21, -0.01, -24\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2*w**3\/3 - 8. Let k(f) = 0*f**2 - 6*f**2 + 0*f**2 + 2*f**2. What is h(k(y))?\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*u - 19757 = 14427, 0 = -2*m - 2*u + 34200. List the prime factors of m.\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 + 268*g + 78. Give a(-29).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/5 - 3\/((-15)\/2). Suppose r - 48 = -2*r. What is the highest common factor of c and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153671783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1064098191 - -22339138154\/21. Let j = 329634 + d. Let v = -223\/3 - j. Which is the third smallest value? (a) -4 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12230?\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*g + 2*p, 31 + 31 = 5*g - 4*p. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggp. Give prob of sequence pgy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 12. Suppose -m - o = -g, -m = -2*g + 26 - 6. Let s(a) = -a**3 + 3*a + 1. Calculate the remainder when g is divided by s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 + 6. Let d be a(-5). Let o be ((-1)\/3)\/((-3)\/(-9)). Let c(q) = q + 1. Let l(n) = 4*n + 15. Let w(r) = o*l(r) + 6*c(r). Determine w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113454 by 66.\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((39\/2)\/3 - -1)*662\/331 and 717.\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1078 and -0.03?\nAnswer: 32.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0888 - -26.0088. Let f = 26 - a. Let h = f - -0.12. Put h, -3, -4 in ascending order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p)\/((p**(-2\/5)*p)\/p))\/(p**(-2\/5))**(-2\/27) assuming p is positive.\nAnswer: p**(172\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*i - 4. Let u = -23 - -21. What is the third biggest value in u, i, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 7*h - 9. Let v be c(-4). Differentiate 216*m**2 - 216*m**2 + 13*m**3 + v with respect to m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -25. Suppose -t*k = -9*k + 280. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + 6. Solve u + 5 = 4*u + 5*m, u + v = -5*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 102*d - 140 = -43*d - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.09 + -5.09. Which is the second smallest value? (a) 1\/6 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10514 (base 10) to base 8\nAnswer: -24422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 - (-1 - 9) - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196722 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((17 - 4) + 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5241 and -5241 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-6)\/(-16))*151\/(-302).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16113, 16186, 16259, 16332, 16405, 16478?\nAnswer: 16551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.307 from 0.3.\nAnswer: -1.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t = 47*t - 85 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 72 - 84 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225.9 + 223.9. What is the biggest value in g, 4.5, -7?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j - 80. Let k(m) = -m**2 + 77*m - 850. Let f be k(14). What is the highest common divisor of f and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -95, -144?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f + f)*(4*f + 92*f**2 + 79*f**2 - 4*f).\nAnswer: 171*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v**2. Let d(b) = 22392331*b**2. Determine d(a(k)).\nAnswer: 4388896876*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325104 - -20?\nAnswer: -325044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9790, -9792, -9788, -9772, -9738?\nAnswer: -9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 538?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 7\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*n - 20 - 43 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.1 - -18.09999879. What is r rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 122 = 4*m, -139 = 4*m + 2*z - 23. Let r be (18\/15)\/(9\/m). Let d(h) = h - 4. Calculate d(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-868)\/(-248)*-4*7\/2352)\/((-1)\/20)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 - 620\/(-12). Let o = d - 253\/5. What is the nearest to 0 in 1\/3, o, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 11 + 10 - 21. Let v(u) = -6*u**2 + u. What is v(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 99*p + 129 - 261.\nAnswer: -99*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + -4. Let h be a\/(-12)*8\/6. Suppose 2*b - 12 + h = 0. Calculate the lowest common multiple of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906651.\nAnswer: 3, 131, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1458 + -4373\/3. Which is the closest to -3\/2? (a) r (b) -3 (c) 2\/1279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195131208865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.2 + 52.2. What is the closest to l in -2\/5, 3, -0.02, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-3)\/(-5))\/(2\/70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((141\/1786)\/((-4)\/38))\/(1\/(42\/27))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 323 in 0.5, -4\/3, 2, -0.1, 3\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 219\/4. Which is the smallest value? (a) -1\/5 (b) m (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22395 + 23887. Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = n, -4*n + 4*o + 13 = 37. Let r = 344 - 347. What is the nearest to 0.4 in r, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0 + 1 + 2*f - 2*f**2 - 2. Let q be i(2). Let y(c) be the first derivative of c**2\/2 + 7*c - 1. Calculate y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4 - 11 + o**2 - 2*o + 10. Let m be b(3). Solve 3*g + 2*h - 5 = 0, h - m = -4*g - 2*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/6*-3). Let o be -2*3\/6*-2. Find the third derivative of -w**3 + 2*w**3 - 2*w**3 + 4*w**z - 3*w**o wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 5*n**2 + 6*n + 3. Let k be s(-4). Let v = 9 - k. Suppose j = -3, 3*m + 2*m - 4*j - 92 = 0. What is the lowest common multiple of v and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. Suppose 5*v - 54 = i*v. Let c = v - 14. Solve 0 = -0*f - 4*f + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 0*y + 3*y - y + 16 - 20. Let p be i(2). Suppose 51 = -p*w + 291. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64362*y**4 + 4*y**2 + 5745*y - 5.\nAnswer: 772344*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 2457*m - 14237. Give s(6).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 - 10*h**2 + 22*h**3 - 34*h**3.\nAnswer: 2*h**3 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0\/1)\/(-13 + 0). Let m = 47014937\/572 - 82194. Let n = z - m. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:29 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 887*w - w**3 - 887*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 262910*s**2. Let a(b) = -318*b. What is u(a(g))?\nAnswer: 26586510840*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (-2 - (-720)\/(-21))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2492463661 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/8 + 2985*g\/2 + 53487\/2.\nAnswer: 3*(g + 18)*(g + 3962)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 2*o**3 - o**3 + (2 - 5 + 2)*(-o**3 + 2*o**3 - 3*o**3) - 1 + 1 + o**3 + 0*o**3 - 2*o**3 + o**3 to n*o**3 + s + a*o**2 + l*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.998 or -28192?\nAnswer: 1.998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) 0.5 (c) -0.071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddvd. Give prob of sequence pv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -29. What is the biggest value in 3, h, 0, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 1. Let b be (6\/(-2) + t)\/(-2). What is the remainder when 41 - (b - 3\/(-1)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97997 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(612))**2 + (sqrt(17) - sqrt(136)\/sqrt(512)) - ((sqrt(2448) + 2*sqrt(2448)*-1)**2 + -2*(sqrt(2448) + -2)).\nAnswer: -1840 + 199*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.36 - -0.06. Let g = 2028 - 2032. Let r = -1 + 0.6. What is the nearest to g in r, 1\/4, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 62, -0.2, 13129, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -55.58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -8 - 76. Let i(g) = 2. Let r(x) = x**2 - 1. Let v(t) = a*i(t) - 12*r(t). Let q(n) = 3*n. Calculate v(q(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/120*-2 + 3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2)*2 - ((sqrt(2) - sqrt(2)*1)*-2 - sqrt(2)) - 1*(2*sqrt(12))\/sqrt(6))*-5)**2.\nAnswer: 100*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(3\/9). Find the third derivative of -3*z**2 - 3*z**4 + z**2 - z**f wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2964 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:00 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 21*i**2 + 11*i - 22. Let g(q) = 4*q**2 + 2*q - 4. Let m(j) = -22*g(j) + 4*h(j). Suppose n = 5*n + 24. Let y be (-2)\/n*(7 + -4). What is m(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213313 (base 5) in base 14?\nAnswer: 1b641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:07 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11*n**2. Let f(g) = 46742610*g. Give x(f(z)).\nAnswer: -24033587485733100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/6*525\/(-1400).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8947296 millilitres in litres?\nAnswer: 0.0008947296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -984.9 - -723.2?\nAnswer: -261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -609 - -716.35. Round d to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d**3\/5 + 1573*d**2\/5 + 1048*d\/5 - 14999. Determine g, given that r(g) = 0.\nAnswer: -524, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (-5 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from wueguggugggguiuugw?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 38*l - 750. Let b be q(21). What is the highest common divisor of b and 9960?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221589655 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 639 = -7*f. Let n = -380 - f. List the prime factors of n.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -45. Let u be (0 + 5)\/(3\/w). What is the units digit of -1 - 0 - ((9 - 4) + u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 29*m. Let d(w) = -5*w. Determine d(i(f)).\nAnswer: -145*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/116 and 107\/54?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15. Let d = 3\/16 + -7\/16. What is the closest to y in -1, d, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0*i**3 + 0 + 0*i**2 + 0*i**5 + 0*i**6 - 2\/3*i**4 - 11*i - 2\/21*i**7. Find the third derivative of w(l) wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Let j(s) = s**3 - 3*s**2 - 5*s + 8. Calculate the least common multiple of j(h) and (-756)\/(-81)*(-6)\/(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 0*b**4 + 2*b**4 + (7*b**3 - 2*b**3 + 2*b**3)*(206 + 28*b - 206) as s*b + r + l*b**3 + u*b**2 + c*b**4 and give c.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11334*h**2 + 11396*h**2 - 22737*h**2. Let a(p) = -15*p**2 - 2*p**2 + 3*p**2. What is a(n(b))?\nAnswer: -686*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 67. Let t be (-12)\/14*(h - 2). Let y be t\/35 + 2\/(-5). Is -2 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110 and 20?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 1616, 5387, 12704, 24743, 42680?\nAnswer: 67691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97108550 divided by -50.\nAnswer: -1942171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20581888 - 20581888 + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*g = -606*g - 3*r - 39 - 39, 0 = -7*r - 182 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1020*s - 1001*s = -100, -5*q - 2*s + 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -209.9 - -210. What is the third biggest value in 10\/13, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 8 - 8)*(-h + 2*h + h)*(1 + 0 + 7)*(2 + h - 2) to the form m*h + d*h**3 + s + j*h**2 and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -28, -2, -4576 in decreasing order.\nAnswer: 20, -2, -28, -4576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 111806448 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 86*n**2 + 553*n - 46. Determine w(-79).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -68, 0.5, 5, 1\/4, -1\/70, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6)\/((-9)\/132). Let u be (-6)\/r*3 - 1. Which is the nearest to 1? (a) u (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-25)\/l*l*l**(-7)*l*l)**(-18\/7) assuming l is positive.\nAnswer: l**(540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.41384 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 + -4 - -2) - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/6 + 2*u**2 + 2*u. Let h be r(-6). Let g be 7*(-10)\/h + 0. Solve 4*v + 0*v = -5*z + 45, 4*z - g = -3*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1, -0.0331, 2\/17?\nAnswer: -0.0331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 53*d - 421 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11099?\nAnswer: 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n**4 + 158304*n**3 + 3590964*n**2 + 5948464*n - 1201200 = 0. What is n?\nAnswer: -3575, -21, -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 326 - (8 + 360\/(-20)).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(0*q + 5*q + 0*q) - 6*q + 4*q + 0*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**3 - 1. Suppose -2*h = 2*d - 8, 3*d - 4*d = -3*h + 4. Let k(p) = 13*p**3 - 1. Let b(u) = h*k(u) - 5*s(u). Differentiate b(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*z = -w - 192*z - 1, 3 = -3*w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115561 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 27. Let n be z(15). What is the greatest common divisor of n and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*f**4 - 10*f**3 - 2925.\nAnswer: -284*f**3 - 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b + 146*b = -3*x - 331, 0 = 3*b - 5*b - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426.7713 nanometers to meters.\nAnswer: 0.0000004267713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 29 = 25. Suppose 0 = -h*l + 2 + 14. Put 13, -2, l in descending order.\nAnswer: 13, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, j: 5, v: 2}. Give prob of picking 2 v and 1 t.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 9*u**2 + 9*u - 2. Let q be d(8). Let n(p) = p**2 - 8*p + 15. Let g be n(q). Suppose g*z - 16 + 13 = 0. Solve -5*w - z = 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12790153 is divided by 1962?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by 34.\nAnswer: -103\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-28.553252.\nAnswer: -2.8553252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142075830 and 8073?\nAnswer: 1278682470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.3. Let z = 826 - 5783\/7. Sort z, o, -0.1 in increasing order.\nAnswer: z, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 54*t + 51*t - 1119524, 4*i - 895603 = -3*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81886831 greater than or equal to 81886831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 10 (b) 4\/7 (c) 2\/11 (d) 49299 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -56. Suppose 2*w + w - 18 = 0. Suppose w*z - 10*z = -20. Sort 4, z, k in decreasing order.\nAnswer: z, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.108362, -0.5, 3\/4?\nAnswer: -0.108362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 80 * 3.8806\nAnswer: 310.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4331 and 1136?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiialaauliii. Give prob of picking 1 u and 1 a.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v. Suppose -3*o + 11 = l + 2*o, -l + 5*o - 9 = 0. Let s(c) = -6*c**2 - 2*c + 1. Let y(g) = 62*g + 430. Let t be y(-7). Give l*s(w) + t*z(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518346.\nAnswer: 2, 3, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -487, -1\/10, 2\/15 in increasing order.\nAnswer: -487, -31, -1\/10, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 + 3. Let v be w(-4). Suppose v*p + 4 = -p. Let i = -122\/3 - -39. Are i and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -1 - (39 + -34)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -99740544+-3109.086\nAnswer: -99743653.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -13.\nAnswer: 33\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 3*u + u**4 + (-2*u**2 + 0*u**2 + 4*u**2)*(-3*u**2 + 2*u**2 - u**2) - 5*u**3 + 5*u**3 - 4*u**4 + 2*u**4 + 0*u + 0*u.\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let w(r) = -2*r**2 + 14*r + 58. Let x(y) = y**2 - 2*y - 1. Let k(g) = -w(g) - x(g). Let j(l) be the first derivative of k(l). Determine z(j(c)).\nAnswer: 2*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -1897*a + 1903*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 1:09 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s**3 - 58\/5*s**2 + 0 - 192\/5*s.\nAnswer: 2*s*(s - 32)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:16 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28136 + 112*j + 28136 to the form c*j + b and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - p. Let b(c) = -c**2 - 10*c - 17. Let v be 8\/(4\/8*-2). Let u be b(v). Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184 + 46929225\nAnswer: 46929041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1997212.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*t = 40, 2*u = 69*t - 67*t + 12. Let h(n) = 2*n - 24. Calculate h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 3*j - 3. Suppose 0*h - 2 = 2*h, h = 5*q - 1. Let k(p) = -9*p + q*p**2 - 3*p**2 - 5 - 4*p**2 + 4*p. Determine 5*a(n) - 3*k(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.4. Let f = 192.0756 - 0.0756. Let s = -210 + f. Which is the smallest value? (a) s (b) -2 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 + 2.6\nAnswer: 2.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) - (-1 + -2). Suppose n*m + 236 = 4*q, 2*m + 0*m = q - 164. Calculate the common denominator of (-662)\/m + (-4)\/6 and -53\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 245196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -73\/4. Which is the third biggest value? (a) -7\/3 (b) r (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -0*n + n. Suppose 0 = p - 3*q - 2, -5*q + 5 = -0*q. Let h(d) = n*d - 5 + p - 2*d. Let o(x) = -15*x**2. Determine o(h(w)).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 451861 and 11948.\nAnswer: 52415876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from eelmeueeleeee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i**3 + i**3 - i**3)*(-2 + 3 + 1) + 3*i - 2*i**3 - 3*i - 8 + 8 + i**3)*(-3 - 6 + 5).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.021 + 0.521. What is the nearest to -3\/2 in -1, l, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - n)*(-96*n - 386*n + 31*n).\nAnswer: -1804*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82393.\nAnswer: 82393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9820 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 26414 = 56141. What are the prime factors of p?\nAnswer: 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-100)*5\/15 + (-172)\/140.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073272 to 6 decimal places.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*j + 1 + 197*j - 85*j - 35*j - 1.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3327268 (base 9) to base 14\nAnswer: -348435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 56*a + 2. Let m(w) = -2*w**2 - 3*w - 9. Let l(j) = -10*j**2 - 14*j - 42. Let q(d) = -3*l(d) + 14*m(d). What is g(q(f))?\nAnswer: 112*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10\/5 + 86 + 0 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 8:51 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z - 12 = -5*m, 6 = m + z. Suppose -3*d + 347 = -5*s, -4*d + 487 = m*s + 35. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -17. Let j = -77.99999407 - n. What is j rounded to 7 decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.973, -344\/5, 1\/2?\nAnswer: 0.973","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316719365 to the nearest integer?\nAnswer: 17797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291\/950 - -7\/25. Is q less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16518, 16515, 16510, 16503, 16494, 16483?\nAnswer: 16470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3 - m + 4*m**2 - 8*m**2 - 5*m**4 + 11*m**2 wrt m.\nAnswer: -120*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 20. Let g = 0 - v. Let x = g - -11. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11740 and 288798130?\nAnswer: 5870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdyyezzedzdzzzzyzy. What is prob of sequence ezyd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from wwwwwwwwxkxwww?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 11:11 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -94 + 24 + -20 + 2\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**11*t)\/t*t**17 assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3462357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a**3 - 1134*a + 50*a**3 - 16*a**3 + 2*a**2 - 13*a**3 to the form t*a**3 + v + i*a**2 + c*a and give c.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 8, b: 2, y: 1}. Give prob of picking 2 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 3655594*a**2 - 1670448353222*a + 25055902796430.\nAnswer: -2*(a - 913891)**2*(a - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 8. Let d be b(-7). Let q be ((-2)\/44)\/(d\/(-8)). Let z(w) = -w + 1. Let m be z(2). Are m and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004359037 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vddvddvvvd. What is prob of picking 4 v?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2. Let d(m) be the first derivative of m**2\/2 + 90*m - 291. Determine z(d(i)).\nAnswer: -3*i**2 - 540*i - 24300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3294068 + 1005932. What is v rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965655 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257 + 255. Let i(l) = -3 - 2 - 2 + 5 + l. Determine i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 238 and -0.7.\nAnswer: -166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-14) + 2 + 15\/21. Sort 25, h, 1\/2.\nAnswer: 1\/2, h, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, 5720, -4?\nAnswer: 5720","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18953 + 11680. Let y = -87223\/12 - o. Find the common denominator of y and (-151)\/(-22) - (-36)\/(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69575, -2, -28, 4 in decreasing order.\nAnswer: 4, -2, -28, -69575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14191*y**3 + 595*y**2 + 2*y + 23 wrt y?\nAnswer: -85146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 865.037 and -37744.\nAnswer: -36878.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 140180 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 4 + (-3 + -1 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13.24 times 431.39\nAnswer: 5711.6036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 9) + 58 + (0 - -12) - 13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**2 - 14*w**2 - 3*w**2 - 5*w**2 to the form j + g*w + t*w**2 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*t - 27 = 3*t, -5*y + 5*t = 65. Calculate the remainder when y\/(((-2)\/388)\/(6\/24)) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 205, 447, 781?\n\"Answer: 46*r**2 + 12*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9.142892 weeks?\nAnswer: 1536.005856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 30\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -247*q + 3458. Let p be o(14). Let r = 8 + -8.3. What is the biggest value in p, r, -0.19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-672)\/128*(-2)\/(-7))\/((-6402)\/(-88))\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.74 + 15.28.\nAnswer: 16.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10934, -10932, -10930, -10928, -10926, -10924?\nAnswer: -10922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 43360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132330 and 14768028?\nAnswer: 73840140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786 = -o - 4*c, 0 = 5*c + 21 - 1. What are the prime factors of o?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i + 3840. Let c be u(0). What is the highest common factor of 240 and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 26*x - 15*x + 140 - 140. Let k(w) be the second derivative of -w**3\/6 + w. Give t(k(d)).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 24190, -1, -4, -2\/9.\nAnswer: -8, -4, -1, -2\/9, 24190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1841\/6 - 307. Let h(v) = v**2 + 3*v - 3. Let q be h(-4). Let z = -0.01 - 4.99. Sort f, z, q in decreasing order.\nAnswer: q, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/(-9) + (-6)\/27. Let c(t) = -t. Let k be c(d). Suppose -2*g + k*g = 0. Solve g = m - 2 + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3) + 2\/3. Let y(l) = 4*l**2 - 2525*l + 19949. Let b be y(8). Solve -2*k + 5*k - 5 = n*m, -2*k + b*m = -18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.71 rounded to the nearest integer?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160153.6 nanometers in millimeters?\nAnswer: 0.1601536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374528?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152609 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27629154 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d + 2. Let u = -2 - 1. What is the remainder when 26 is divided by l(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5338, 5334, 5328, 5320?\n\"Answer: -s**2 - s + 5340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 + ((-5322)\/(-1575) - -1). Let o = h + 16\/25. Calculate the common denominator of o and 62\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84019958, 84019957, 84019956, 84019955, 84019954, 84019953?\nAnswer: 84019952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4320\/(-2700) - (1 - 94\/40)) + 4930\/40?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 17 = 5*m, -3*i - 2632 = m - 3*m - 2609 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 2*l + 3*l)*(-l + 1 - 1) - 1 + 1 + l**2 + (-34421*l**2 + 64407*l**2 - 33830*l**2)*(1 - 3 + 0).\nAnswer: 7690*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/8, -0.3, 4.22, -4 in descending order.\nAnswer: 4.22, 1\/8, -0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*l + 75*l - 34*l)*(2 - 2 - 2) + (-l + 5*l - 3*l)*(1 + 0 + 1).\nAnswer: -166*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*((j*(j*j**(2\/7))\/j*j)\/j*j)\/j*j**6*j)\/(j*j**(-1\/4)*j\/j**(-5))*((j**(-2))**(-9))**10 assuming j is positive.\nAnswer: j**(5139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 2*a + 24 + 9 = -f, -31234 + 31255 = -7*f for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 414762007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.31 - -1.31. Let m = 1536.9 + -1484.928. Let t = s + m. What is t rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.66275 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.01747 rounded to one dp?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(2\/7)*j)*j)\/(j\/(j**13*j*j)*j)*((j*j*j*j\/(j\/(j**(-2)\/j*j))*j)\/j)\/j*j*j*j**(-1) assuming j is positive.\nAnswer: j**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 10*o**2 - 9*o + 2. Let w be p(-9). Suppose 2*r = -2*r - 16, -w*n = -r - 18. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -851, -821, -791, -761?\n\"Answer: 30*g - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/803824 and -59\/401912.\nAnswer: 803824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 13*g + 11. Give v(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 3. Let m be f(-1). What is the highest common factor of 70 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -67 - 31. Solve 2*o + t = 2*u, 4*o + 3*u - 1 = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1378 - 3618?\nAnswer: -4994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 9?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 63*s + 984 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/3 - 7*q**2\/2 - 2*q + 280. Calculate m(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148\/123 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*f**2 + 5 - 2)*(-5*f**3 + 5*f**3 + f**3).\nAnswer: 4*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 - 16 = -g, 0 = -5*g + y + 154. What is the highest common factor of g and 1240?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/30 - 5*f**2. Let a(h) = 6*h**2. Determine b(a(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 - 17*a - 35. Let z be l(-5). Is z at least -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + sqrt(40))\/sqrt(8) + sqrt(20) + -2)**2.\nAnswer: -24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393340, -786594, -1179848, -1573102?\nAnswer: -1966356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 247.\nAnswer: 5\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3 + 27*i**2 + 60*i + 36 = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6089 divided by -6089.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (11 + 5 + (2 - 8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -326, -327, -328, -329, -330, -331?\n\"Answer: -j - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k + 1. Let b(r) be the second derivative of r**3\/6 - 3*r. Determine 14*b(h) - 2*s(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -27*z. Let n(r) = r**2 + 93*r - 6. Calculate s(n(b)).\nAnswer: -27*b**2 - 2511*b + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1407 + 2019. Suppose -134*k + 131*k + m = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 43?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133791227.\nAnswer: 97, 1379291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7633041 and 285?\nAnswer: 38165205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -14. Let z(k) = k**3 + 2*k**2 - 3*k + 2. Let i(y) = 3*y**3 + 7*y**2 - 9*y + 6. Let c(m) = x*z(m) + 2*i(m). Factor c(s).\nAnswer: -(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7850 + -7444. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23683 is divided by 624.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/7 + 5\/7*f**2 + 3\/7*f + 1\/7*f**3.\nAnswer: (f - 1)*(f + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75*a**3*f*j + 2*a**3*j**2 - 14*a**3*j + 3*f*j**2 - 4*j wrt f?\nAnswer: 75*a**3*j + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i**(11\/3)*i*i)\/i*i)))\/((i\/(i*i\/(i\/i**(-2\/33))))\/i) assuming i is positive.\nAnswer: i**(218\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 536\/37 (b) 2\/9 (c) -28\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 2074351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 300190197 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43056 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-14))\/((-50)\/70))\/(12\/40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35011 (base 6) to base 11\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -89. Let w = -65 - x. Calculate the remainder when 1\/(-3*(-2)\/192) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 - 3*m - 13. Let h(g) = -g**3 - 3*g**2 - 4*g - 12. Let o(q) = -6*f(q) + 7*h(q). What is the remainder when 38 is divided by o(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542162978?\nAnswer: 2, 7, 137, 282671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/7, 43, 2\/9, -1\/70, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 3. Let g(x) = -x - 4. Let h(a) = a + 3. Let n(s) = -5*g(s) - 6*h(s). Let z be n(-4). Let f be m(z). What is the biggest value in 2, 3\/7, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/204 and -77\/17687028.\nAnswer: 300679476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 178752, 5 in descending order.\nAnswer: 178752, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 11*q**2 - 2*q - 49. What is n(-12)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*k - 0*j - j, 4*j = 2*k - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116? (a) -5 (b) -3\/2 (c) 249313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457\/504 - 8\/9. Which is the closest to -1? (a) f (b) 1\/14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + g = -22, -125*g + 57*g + 65*g = 3*w + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -88. Let g(k) = k**3 - 8*k**2 - 10*k + 4. Determine g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 14 - 1 = 0. Does 4 divide l + (0 - 85\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.01, -1\/8, -3\/2, -8, -203, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 + 307*j**2 + 524*j - 423. Determine p(104).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 6\/7 (c) -0.6 (d) -1687 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 10*c. Let y(w) be the second derivative of c - 1\/15*w**6 + 1\/3*w**3 + 0*w**2 + 0*w**4 - 2*w + 0*w**5. Find the second derivative of y(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000180988796 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 9*u - 6. Suppose 3*f + 0*f + 30 = 0. Let k be q(f). Suppose 3*g - 270 = -5*r, k*g = -r + 56 - 19. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -70*f**2 + 12284*f - 6076. Determine l(175).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 146973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 26*a**2 - 32*a + 585. Calculate o(-30).\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/2 (b) -112.37 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 192 - 305 + 3*l + 129. Let x(k) = 22*k. What is s(x(v))?\nAnswer: 66*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f**0))**42\/((f\/(f*f**(-5)))\/f**(-3))*f**(-1\/6)*(f**(-3)*f)\/f*f*f\/f**0*f**3 assuming f is positive.\nAnswer: f**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 + 3*q**3\/2 + 7*q**2\/2 - 2*q - 43. What is o(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-7)*(-3)\/(-90)*10*7 + 0?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6132624850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26659.08 and -22.\nAnswer: 586499.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 1 + 0 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*s + 835 = 409*s. What are the prime factors of s?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 13603?\nAnswer: -952.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4805 + 4809. Let q = -0.04 + -0.26. Which is the second smallest value? (a) 5 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-21392.84\nAnswer: -21395.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 4 - 85174*z**2 - 6 - 1.\nAnswer: -85174*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 67*j + 13. Let a(q) = 34*q + 7. Give 5*a(v) - 3*r(v).\nAnswer: -31*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 16, f: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13023142 (base 5) to base 8.\nAnswer: 367320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17 + 2)\/3*-1. Let l(c) = -3*c**2 - c + 3*c**2 + 2*c**2 - z*c. Let g(u) = 224*u - 2684. Let d be g(12). Determine l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*x = l, 2*l = 2*x + 20. Suppose l*o = o + 8. Find the second derivative of b**2 - 6*b**2 + 10*b**o + 15*b + b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4131\/(-714))\/(-27)*(-1)\/(1806\/49).\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 19. Suppose d + 6 = 5*t + 5*y, y = -5*t + 16. Suppose 6 = -v + t*v. Solve v*s + 0 = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6\/m)\/m**(-1\/3)*(m*m*m*m\/((m*m*m\/(m*m**5))\/m))\/m*m*m**(2\/23) assuming m is positive.\nAnswer: m**(995\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, -3, -0.20637, -1, 128, -2, 0.1?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*g - 10, k - 4*g = -7*g - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let o be j(2). Suppose -3*m + 3*a = 24, 14*m - 12*m + 3*a + 1 = 0. Put o, -4, m, 7 in increasing order.\nAnswer: m, -4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 2. Let x(w) = -w + 1. Suppose 0 = 9*u - 8*u + 3. Let v be -3 - u - 9\/(-3). Give v*a(c) - 4*x(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = 1. Suppose -5*t + 8 = -u, -4*t = -4*o - 8. Solve 2*d + o*d = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w**2 - 27. Let f(o) = -6*o - 2. Let a be f(-1). Let g(y) = -3*y**2 - 4. Let v(p) = a*r(p) - 27*g(p). Let d(k) = -11*k. Calculate d(v(u)).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294\/4*24\/18.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/20512 or 1?\nAnswer: 11\/20512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079496 to five dps.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12*v**2 + 2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or 531\/10?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91\/9, -2, 74, -4.\nAnswer: -4, -2, 91\/9, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i - 53. Let j be o(-6). Let m = j - -170. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*u + h, 8*u - 16*u = -3*u - 7*u + h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovchz. Give prob of picking 1 h, 1 c, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-78))\/((-2)\/(-3))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -207. Let k(t) = 2*t**2 + 26*t + 87. Calculate the remainder when a is divided by k(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 - -0.49. Let d = 2 + r. Let g = d - 2.5. Which is the third biggest value? (a) g (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Let y be ((-2)\/6)\/(r\/(-4)). Let 2\/3*l + 0 + y*l**3 - 4\/3*l**2 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*z**5 + (-30*z**3 + 17*z - 17*z)*(z**2 + 2*z**2 - 4*z**2).\nAnswer: 32*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 21. Let n(t) = -20 + 15 + 7 - t + 17. Does 2 divide n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10591 + 44?\nAnswer: -10547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -397, -817, -1247, -1687, -2137?\n\"Answer: -5*a**2 - 405*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 11, -859, -5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2. Let h(j) = -3*j**2 + 15*j + 14. Let w(o) = -h(o) - r(o). Let f be w(-6). Solve -20 = 5*c + 5*g, -4*g = -2*c - 2*g + f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**6*v)\/v**(-13))**26 assuming v is positive.\nAnswer: v**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 3*w**4 - 4*w**4 + (2*w**3 + 2*w**3 + w**3)*(w + 3*w - 8*w).\nAnswer: -19*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -144*t + 3. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/2520 + o**5\/120 + o**4\/6 - o**2. Let t(x) be the second derivative of i(x). What is t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10323570 to the nearest 10000.\nAnswer: -10320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 45. Let l(r) = 5*r**2 - 4*r - 2. Let k be l(n). Let t = 141 - 137. Solve -2*u - k = -t*w - 27, 5*u - 20 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 1318296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11569 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957\/2 + (-6)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m**2 - 11*m + 11*m + (0*m - m + 2*m)*(-2*m + 2*m - 2*m))*(-1 - m + 1).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 3*z + 0*z - 3*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 - 16*l**3 - 8*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*y + 601 = 499, 5*r = -y + 145. What is the remainder when 317 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -50723273\nAnswer: -2\/50723273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31\/6 in -0.423, -4, -6\/35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0.07631700956.\nAnswer: 1.07631700956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90295165 and 25.\nAnswer: 451475825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 2*(-9)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poqskukq. What is prob of sequence ouq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 - 7*i + 4. Let m be l(4). What is the common denominator of -37\/188 and (-14)\/(-5) - (3 - (-36)\/m)?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -764 < -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 + 11*k - 2. Give u(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmyyjjjyyqyq. Give prob of picking 2 y and 1 q.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + s + 6 + 4, 0 = -4*s - 4. Let l = -7 + y. Suppose 2*n + l = 80. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1698800326 to the nearest integer?\nAnswer: 41217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -3*p - 17, 0 = -4*p + 12. Let g(f) = f**3 - 5*f**2 - 25*f + 30. Let c be g(w). What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let p be k(5). Suppose -p*a + 8 = -a. Suppose a*h + 0*h - 36 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -41*a + 240. Calculate w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 16) to base 14\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/4 + -1 + 2. Suppose 0*v - 127 = -z*v - 3*k, -3*k + 295 = 5*v. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3867 - 1404 = -1150*p + 9679 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 139*a + 1510. Let r be l(56). Let b(d) = 1. Let y(s) = 3*s + 16. Determine r*b(i) + y(i).\nAnswer: 3*i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 1522096.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.49 + 0.19. Let x(z) = -z - 4 + 2 + 1. Let c be x(-6). What is the third smallest value in 0.2, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 8*b - 5*x - 902 = -927, 36*x = 108 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -117 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -221*c**7\/70 - c**4\/24 + 427*c**3\/6 + 19*c**2 - 12. What is the second derivative of a(k) wrt k?\nAnswer: -7956*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/24 and 107\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 20464?\nAnswer: -6139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4449985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-2) - (-2)\/(-4). Suppose 0 = -2*r + 3 - q. Let a = -6 - r. What is the nearest to 2\/7 in a, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001488772 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21080 = -65*m - 59*m. Let y = -34 - -51. What is the greatest common factor of y and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -5 (c) -0.704897 (d) -0.3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 z, and 1 l when four letters picked without replacement from ppjfzjfzjulj.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*d = -46610, -l + 54*d - 51*d + 11660 = 0. What are the prime factors of l?\nAnswer: 2, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -113, -148, -203, -284?\n\"Answer: -d**3 - d**2 - 11*d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u\/(u\/u**(-2\/3)))\/u))\/u*u*u)\/u)**(-2\/13))**(-42) assuming u is positive.\nAnswer: u**(224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 161*o + 4097. Is y(62) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1010\/76 - (93 + 63756\/(-684)). Determine d, given that -12 - 3\/2*d**2 + a*d = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 29*n = -f + 18, f - 3*n - 12 = 0. Let g be (1 - 0)*(-2 + -8). Let x = g + 10. Sort x, 2, f in descending order.\nAnswer: f, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22490\/3 + -6818. Is -3 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17845 + 17847. Suppose 6 = 4*u - 22. Solve -5 = -r*s + u*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 40. Let d(g) be the third derivative of -g**5\/60 - g**4 + 7*g**3\/6 - 19*g**2. What are the prime factors of d(x)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 4. Let w = -8 + 6. Let s = w + 0. Is p equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s + 63. Let p(b) = -10*b - 72. Give 2*p(h) + 3*r(h).\nAnswer: 7*h + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247.22292 + -11020.\nAnswer: -10772.77708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/10 - c**4\/4 - 3*c**3\/2 + 3*c**2\/2 - 6*c. Is z(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -19. Let o be (-4)\/6 + z\/3. Which is greater: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -917 + 606. Let b = u - -311.3. What is the closest to 0.1 in -1, b, -23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (2 + sqrt(171)*2)) - ((sqrt(171) + -2)**2 + -4)) + 0.\nAnswer: -173 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 161 = 3*g - 101, -4*g + 308 = -5*i. Suppose 8 = -2*j + g. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13410661 and 28005?\nAnswer: 201159915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5663 + -124561\/22. Calculate the common denominator of p and (-8)\/12 - 141\/45.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by 2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 12*b = 5*s - 8395, -3*s + 2*b + 5050 = 0. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2 + 27*a - 2. Let x(i) = -12*i**2 + 40*i - 3. Let w(b) = -5*x(b) + 7*y(b). List the prime factors of w(5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -17 + -3 + -1 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -863, 1591 in descending order.\nAnswer: 1591, 5, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {h: 1, w: 6, t: 8}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -0.24. Which is the biggest value? (a) n (b) 6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 938.91 millilitres?\nAnswer: 0.93891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/7, -386, 4\/3, 0.2, -8, 1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + w = -61, 0 = 2*d - 0*w - 3*w - 36. Suppose -419*i + 347*i = -12096. Calculate the highest common divisor of d and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31545595 divided by -22?\nAnswer: 31545595\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36336302000 rounded to the nearest one million?\nAnswer: 36336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f - 4. Let b(s) = 35*s + 11. What is -6*b(x) - 17*n(x)?\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 j when four letters picked without replacement from kkkjjknjkknjnnj?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5116 + 10361 + 528*o + 533*o - 5245.\nAnswer: 1061*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -39. Let c be ((-2)\/4)\/(11\/(-2772)). What is the greatest common factor of c and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001 (base 8) to base 2.\nAnswer: -10000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 1, h: 2, n: 2, u: 2, v: 4, b: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1546 + -1300. Put p, -7, -3 in increasing order.\nAnswer: -7, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/3360 - h**6\/96 + h**5\/10 + 2*h**4\/3 - 28*h**3\/3 - 185*h**2. Let v(c) be the first derivative of b(c). Factor v(q).\nAnswer: (q - 8)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1 = -3*a, -2*a + 4 = 3*a - 4*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1624, -18 in descending order.\nAnswer: 1624, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.4 - -280605.\nAnswer: 280643.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 9*j - 3*j**3 - 17*j)*(-j + j + j).\nAnswer: -3*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*z - 4 = -7*z, 4*z + 37 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 3706035?\nAnswer: -18530175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = -235895030. Let s = -75447521 - u. Suppose 5*c + 4*v + 42499988 = 0, -4*c - 2*v = c + s. Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:47 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874338?\nAnswer: 2, 373, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 + 6*v + 8. Suppose q - 5*g = -6, 5*q + 27 + 3 = -5*g. Let l be r(q). Calculate the greatest common factor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2191 - -0.1291. Let t = 2.4 + -2. Which is the biggest value? (a) t (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 13632959?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181470?\nAnswer: 2, 3, 5, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 31. Let x = -300 - -8999\/30. Are n and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24195, 24193, 24191, 24189, 24187?\n\"Answer: -2*b + 24197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203*g - n = -2206*g + 18, n + 68 = -7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 851, 811, 771, 731, 691, 651?\n\"Answer: -40*n + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 r when three letters picked without replacement from heehpeplrh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8d6e (base 15) to base 7\nAnswer: 153356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 17*c + 8. Let i = 131 + -125. Let a(o) = o**2 - 6*o + 3. Calculate i*j(y) - 17*a(y).\nAnswer: y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0657 in 3\/2, -2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssmsmfmfsseemfesemef. What is prob of sequence eff?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + (-13)\/(5265\/1125). Suppose 2*k - 4 = 2. Sort k, h, 0, 5.\nAnswer: h, 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -933 + 4293 = 15*j. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 374 = -9*y - 476 + 292 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105.2 - 105. Let l = -42 - -24. Let m = l + 18. Which is the third smallest value? (a) 1\/3 (b) t (c) -1\/3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 22 = -3*i. Does 27 divide 2\/i + (-1928)\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, -1\/312, -0.4, 2489?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32341471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.069?\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/1365 - g**5\/130 + g**4\/78 - 2*g**2. Factor w(v).\nAnswer: 2*v*(v - 1)**2*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 + 6)*(3*o**2 - 5*o**2 + 3*o**2) in the form b*o**2 + a*o + d and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 - -19.9. Let r = 282 - 281.5. Put h, 0.3, r, -0.2 in decreasing order.\nAnswer: h, r, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3\/2*v**2 + 5 - 3*v. Let n be s(-6). Solve q - 2 = -5*p - 27, n = 5*q - 3*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 115 = 2*s, -2*j - 7*s = -3*s - 74. What is the remainder when 191 is divided by j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(10\/4) + 6\/2. Suppose 4 + 11 = b*t. Determine o, given that 6*o**2 + t*o**5 + 1 - 3*o**4 - 4 - 6*o**3 + 0 + 3*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikff when four letters picked without replacement from kffkffkfkfkffkffi.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2 + (0 - 3 + 2)*(-1 + 4 - 1) + 1 + 1 - 1)*(0*x - x**2 + 0*x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2322 - -2424. What is the greatest common factor of l and 2176?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 151*s**3\/3 - 21*s**2\/2 + 140*s. What is the hundreds digit of l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1131, -3193, -6627, -11439, -17635?\n\"Answer: -g**3 - 680*g**2 - 15*g - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -91\/310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 25, -75 = -4*u + 2*w - 69. Let i(o) be the second derivative of 16\/5*o**2 + 8*o + 1\/30*o**u - 8\/15*o**3 + 0. Factor i(n).\nAnswer: 2*(n - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 24. Suppose -28 + 34 = f. Solve -f*x - w = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 1035139.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m - 0. Let n = m + 3. Is 7 a factor of n\/15 + (-58)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1878*r - 31927. What is l(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101001100001111010 (base 2) in base 5?\nAnswer: 1040023013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1448, 5805, 13028, 23117, 36072, 51893, 70580?\nAnswer: 92133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.139 - -2.5\nAnswer: 2.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3244239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 132*k - 7260.\nAnswer: -3*(k + 110)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.40047s to hours.\nAnswer: 0.018444575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1773265, 1773266, 1773267?\n\"Answer: g + 1773264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqzqzqqzqq. Give prob of picking 3 z and 1 q.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 3664668.\nAnswer: -5\/261762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446863803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950323.\nAnswer: 11, 19, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:43 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 2.29921\nAnswer: -1.149605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7261 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9801 - 0.0199. Which is the fourth smallest value? (a) -1 (b) 5 (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 46 = -2*p, -14 = -w - 4*p - 3 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - 3) + 4 + (0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/114663 and 103\/24.\nAnswer: 917304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 191\/8. Let m = -1772 + 1771.7. Put p, -0.5, -5, m in descending order.\nAnswer: p, m, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 238\/5. Is j != -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1460214 + -1105?\nAnswer: -1461322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151052005 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6289\/(-1767) + 4*6\/8. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x - 424. Let y(w) = 25*w - 1272. What is 11*t(o) - 4*y(o)?\nAnswer: -o + 424","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/3 - 16*r + 2. Let d(j) = j. Give d(b(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 = -18*f - 244. Suppose -4*w - 6*w = -90. What is the highest common factor of f and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.083 - 0.697. Let d = 5.7848 + r. Let w = -5 + d. Round w to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/17))\/d)**(-17\/3)\/(d*d**(1\/19)*d*d*d**(-14)) assuming d is positive.\nAnswer: d**(586\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 7) + -6 - (0 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 = 5*b. Suppose 4*m - 82 = -3*h - 14, 5*h = -20. What is the remainder when m is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from fyyg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46875189097.98 and 2.\nAnswer: -46875189095.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44147*q**5 - 36*q**2 + 15218399*q.\nAnswer: 882940*q**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -399, -3773, -12943, -30807, -60263, -104209?\n\"Answer: -483*t**3 + 7*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - 2) + 37 + 61?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -912.6 in -0.05, 0.46, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 35. Suppose 5*g + i = 0, 8*y - 12 = 3*y + 2*g. Let n be 0*(-1 - (-3)\/y). Are n and 3\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 2*r - 3. Let l = -5 - -12. Let w(x) = -6*x**2 - 6*x**2 + 5*x + 7 + 3*x**2. What is l*u(h) + 3*w(h)?\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18876 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-2)*(-42)\/9. Is z - (0 - (-2 - -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 2*r = -2, -5*s + 3*r + 17 = -3. Solve -5 + s = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:08 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, e: 4, k: 5, t: 7, u: 1}. Give prob of picking 2 k.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y, -2*y + 8 = -2*d + 6*d. Let z be d\/(5\/10 + 87\/(-150)). Let k = 59 + z. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 51*x + 57. Let q be i(-14). Let p(d) = -d**3 - 14*d**2 - 15*d - 21. Determine p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 + -155 + -3 - (1 - 2 - 0 - 91)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*j + 200 + 859 = 477*j + 267 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m**3*w - 16*m**3 + 6*m**2*w + 37*m*w wrt m.\nAnswer: 60*w - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10360401.\nAnswer: 3, 89, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23004 (base 7) to base 4\nAnswer: -1123023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02154702 * -0.1.\nAnswer: 0.002154702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439330763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjw when three letters picked without replacement from {j: 7, w: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 4336\nAnswer: 1\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 28\/3*j + 2\/3*j**4 + 6*j**3 + 27\/2*j**2.\nAnswer: (j + 2)*(j + 6)*(2*j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 4*u = 30. Let w(s) = 686 - 340 - 346 + u*s. Let x be (6\/(-10))\/(2\/(-10)). Determine w(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -26, 82, -0.3, -2, 2\/1127?\nAnswer: 2\/1127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 8. Let m be d(6). Let l be -1 + 2 - 2*m. Let n = -6.27 + 1.27. What is the biggest value in 2, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/13 + 424*j**4\/13 + 426*j**3\/13 = 0. What is j?\nAnswer: -1, 0, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*z - 113 - 49, 2*v - 76 = -2*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 - 2) + -8 + 1049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/25)\/((-29)\/(-145)). Solve 37*g + u = 31*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 226?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-12)\/(-480)*16)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssiiisiss. What is prob of sequence iiii?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 26*u - 7. Let m be s(-5). Let h be (-12)\/(-18)*-12 - m - -12. Put 0, h, -2\/7 in decreasing order.\nAnswer: h, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137004, -276808, -416612, -556416, -696220, -836024?\n\"Answer: -139804*k + 2800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.91866m in kilometers?\nAnswer: 0.03291866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -14*t - 11. Let x(f) be the third derivative of 5*f**4\/24 + 2*f**3\/3 - 2*f**2. Let q be 1 - 8\/4*-1. Suppose q*n + 40 = 16. What is n*x(i) - 3*u(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 7*v**2 - 3*v - 10. Calculate the remainder when 67 is divided by b(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*o + 4, -4*o - 2 = -3*l + 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 22\/(-6))*-3. Let o(l) = -14*l. Let w be o(-4). What is the greatest common factor of w and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6979238*p**2 + 15461423.\nAnswer: -13958476*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7279080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878810.6 litres to millilitres.\nAnswer: 878810600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/2 + (-15 + -12 - -17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/1504731 and 89\/4012616.\nAnswer: 12037848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -126. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -0.8. Let s = -5 + 4.6. Let q = s + 0.9. What is the nearest to 0 in -3\/5, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hra when three letters picked without replacement from harfrafcff?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -7*b + 140. Calculate the greatest common divisor of b and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**8\/1680 - f**7\/1260 + f**6\/720 - f**5\/120 - f**4\/2 + 12*f**2. Let d(b) be the second derivative of h(b). What is d(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-741)\/494)\/((-9)\/8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386 and 646?\nAnswer: 124678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366433 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055439 to 6 dps.\nAnswer: 0.000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 4. Suppose 355*b - 350*b - 990 = 0. Let n(x) = 96 + 106 + x - b. What is n(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**5 - 193*y**4 + 60*y**3 - 4931590*y**2 wrt y.\nAnswer: -180*y**2 - 4632*y + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 4*o, -5*o - 90 + 80 = b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1) - (7 + (-170)\/40)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 4*j**2 + 10*j + 9. Suppose 12 - 20 = -i. Let r(u) = 11*u**3 + 13*u**2 + 29*u + 27. Let s(w) = i*p(w) - 3*r(w). Calculate s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-20) - 5)*(2 + 0)*1.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, -65, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72228715 divided by -14445743\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 4\/9*x**2 - 4\/3*x = 0. What is x?\nAnswer: -9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 6890. What is k(-83)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(171)*2 + sqrt(171) - (sqrt(171) + -2*2*sqrt(171))))**2 - (-5*sqrt(171)*-4*1*-6)**2.\nAnswer: -2437772 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1.5. Let p = 23\/90 + -7\/18. What is the third biggest value in -1\/3, u, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6512012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011011110 (base 2) in base 7?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*t**2 + 57 + 62 - 11*t + 10*t with respect to t.\nAnswer: 14*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3\/2, 5, 0.0465?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1017 + 9729. Is k a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 = -6. Suppose o*g - 2*g = 0. Suppose -c = -g*z + z - 3, 2*z - 3 = c. Solve -z*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379514606*x**3 + 636994*x + 59 wrt x?\nAnswer: 2277087636*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/u*u*u**0)**(16\/7) assuming u is positive.\nAnswer: u**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -4 - (-9 - 5 - -26).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {c: 3, d: 1, s: 1, x: 2, f: 1, h: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 - 1 + 1 - 20*r**2.\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.156395 to 1 dp.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 13*c - l - 22, 0 = c + 3*l + 6 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5644 = -900*t - 21593 + 1137 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + k - 953*k**2 + k + 955*k**2 in the form p*k**2 + t*k + w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*r + 37538 = 2958*r + 216719 for r.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*u = -32 + 39, -3*u = -3*f - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*a + 6*a = 30, 2*a = 4*g - 122. Suppose -6*m - 1 = -g. Suppose -d + f = -42, 2*f - 3*f + 198 = m*d. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156270 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = -3*m + 3*c, 0 = 5*m + 2*c - 35. Suppose 9 = 3*t - 0*t. Solve t*p - k = -4, 0 = -2*p - m*k + 4*k - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.7 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25480.2 minus 1?\nAnswer: 25479.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1971)\/(-1460) + (-21)\/12. What is the fourth biggest value in 4, a, -5, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 145192.94.\nAnswer: -145189.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3643593 and 3214935.\nAnswer: 54653895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4589 and 3036506.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-16))\/((-116)\/6332). Let v = 161\/29 - d. Calculate the common denominator of v and (-9)\/((-693)\/119) + -3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -104. Suppose m - u = -0*m. Suppose 0*q - 4*q = -3*h + 18, -4*q + m = 2*h. Put h, 2, 4, -1 in descending order.\nAnswer: h, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22281518 is divided by 50?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 47 + -9 - (-3 + -2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17776059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766578045, -766578042, -766578037, -766578030?\nAnswer: -766578021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43515081 to the nearest 100000.\nAnswer: -43500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(700)*3 - sqrt(700) - sqrt(700) - (1 + (sqrt(700) - 4*sqrt(700))**2 + sqrt(700) + sqrt(700) + sqrt(700)) - 5*(-5 + (1*sqrt(700)*-2)**2).\nAnswer: -20276 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670\/45225 + 4056\/(-405)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 59. Suppose 0 = n*u - 21*u - 432. Suppose -5*r - 235 = -4*s, 4*r + 96 = -3*s + 311. What is the remainder when s is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -58, 3 in ascending order.\nAnswer: -58, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 8) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(-1) + (-91)\/(-260)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1538258*j**3\/9 - 88382306*j**2\/9 - 73874896*j - 149714208 = 0 for j.\nAnswer: -49, -3708\/877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -27865?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 - (-152)\/36. Solve 0*t + c*t + 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1024 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56695876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41784.98km?\nAnswer: 41784980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from mlzfwwzwwfpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 8. Let s be y(-9). Let j(w) = -w**2 + 11*w - 13. Let o be j(9). Sort s, o, 0.\nAnswer: s, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1589514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -21. Let s(f) = f**3 - 2*f**2 - f - 4. Let c be s(y). Let l be 12\/c - 295\/(-11). Calculate the greatest common factor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*q + 11253 + 34279 = -424*q - 13171 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Solve -1 - w = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -w - 23. Let q(g) = 391*g - 343. Let s be q(1). Let x = w - s. Calculate the remainder when 32 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78895020 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 != 791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4999700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 403b4a?\nAnswer: -403b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3 - 1 + 1 - 1 + (6 - 3 - 4)*(4 - 2 - 3))*(-2*j + 3*j + 0*j)*(2*j**3 + 2*j**3 - 6*j**3) as i*j + o*j**4 + h*j**2 + n + v*j**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((3 - 13 - 2) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 58?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-28))\/(22\/(-77))*(-2)\/4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxccxxzsxzkczzsck. Give prob of sequence zsxc.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c04b8a - -a?\nAnswer: c04b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006409902 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - -0.19. Let s = 10.03 + x. Let g = s + -14. What is the third smallest value in g, -1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*d = -4, -4*g - 26 = 3139*d - 3134*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-7) + -13 + (-3)\/((-24)\/416).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115*c - 590.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/19*q**2 + 4\/19*q**3 + 0*q.\nAnswer: 2*q**2*(2*q - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588441, 588486, 588527, 588564, 588597, 588626?\nAnswer: 588651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 1, i: 4, a: 5, r: 7, k: 1}. Give prob of sequence ira.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.2 + -16.2. Let g = 0 - -1. What is the nearest to g in 0.02, 2, h?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.59 + -0.41. Let y = -1141 + 1142. What is the biggest value in -4, v, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15699 - -15691.803. Let i = 7.3 + j. Let g = i + -0.046. What is g rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/561 (b) -2 (c) -2\/19 (d) 0.115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*(0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 2361.66?\nAnswer: -49594.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -321233232 (base 4) to base 10\nAnswer: -236526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/21)\/n)**(5\/2)*(n*n\/(n\/n**(8\/5))*n)**(-43) assuming n is positive.\nAnswer: n**(-32983\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:45 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -37*n**4\/8 - 47*n**3\/3 + 24*n**2. Does 23 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at most as big as 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174115626109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -549, -669, -883, -1203, -1641, -2209, -2919?\n\"Answer: -2*t**3 - 35*t**2 - t - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1342, -2681, -4020?\nAnswer: -5359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 32*b - 9730. Give p(-116).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(539))**2 - sqrt(539)) + ((sqrt(11) - (-3*sqrt(11) + sqrt(11))) + -2 - sqrt(11)).\nAnswer: -5*sqrt(11) + 8622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1470)\/3780 - (2\/(-9) + 0).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:12 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -16, 11, 40?\n\"Answer: g**2 + 22*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11 - 6*z - 3 + 14. Let y(s) be the third derivative of -s**4\/4 + 851*s**2. Calculate -4*u(v) + 3*y(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22433 (base 5) in base 13?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 2*p**3 + 15*p**4 - 4*p**4 + 4*p**4 - p**2 - 1 to the form a*p + f + n*p**2 + l*p**4 + b*p**3 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*w**2 - 486*w**2 + 72*w**2 in the form z + b*w**2 + a*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121844450.\nAnswer: 2, 5, 7, 13, 61, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -34, 10, 106, 272?\n\"Answer: 3*b**3 - b**2 - 8*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293.84 - -288. Let u = -0.1 - -0.06. Let i = p - u. Round i to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/58522869 or 0?\nAnswer: 44\/58522869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -406952 divided by 4\nAnswer: -101738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 73 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.575 + -0.4658. What is d rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + (-6 - -9) - 18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from mmmpmpmlzu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 142 and 13.\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 74618+-88\nAnswer: 74530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-297)*(-2349)\/(-522)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3640)\/(-245))\/13)\/(-1)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340775 is divided by 8519?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from zoxz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400346 divided by 1118?\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 10. Suppose 0 = f + 3*f + 4, c*f = 4*p - 2. Let q(n) = -n**2 + 12*n + 4. Let x be q(12). Solve x*y + 0*y = p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 690\nAnswer: -1\/690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 3*r**2 + 1 - 1759*r**3.\nAnswer: -1759*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/336 - o**7\/14 - 13*o**6\/120 + o**5\/4 + 7*o**4\/12 - 26*o**2 + 6*o. Determine b so that v(b) = 0.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123 (base 15) in base 16?\nAnswer: -1b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1188\/55)\/12)\/(6\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1 - 3\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.23 - -2.57. Is k greater than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -810688.2988.\nAnswer: -810695.2988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = 1. Let v(d) = -d**3 + 9*d**2 + 3. Let t be v(9). Suppose -4*b - 3*g - t = -22, -17 = -4*b - g. What is the remainder when b is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -624 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2273075560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 - -5. Let g = -0.4 - -0.3. What is the nearest to 0.1 in v, g, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqccjjccjcjjccjjjcc. Give prob of picking 3 c and 1 j.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/((x*x**14)\/x))\/x*x*x)\/x*(x**31\/x*x)\/x*(x*x*x**(-1\/5))**(24\/11) assuming x is positive.\nAnswer: x**(1206\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -8*h - 48 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5772\/545 less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**2. Let o(w) be the first derivative of -2*w**3\/3 - 11. What is o(s(v))?\nAnswer: -162*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5.252 (c) -0.3 (d) -7.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(847) + -1 + sqrt(847)) + sqrt(847))**2 + sqrt(847) + sqrt(847) + -2 - 5*(sqrt(112)*1 + -1 + (-2*sqrt(7))**2))*-2.\nAnswer: -286084 + 3428*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 55542*i\/5 - 344937.\nAnswer: 3*(i - 18545)*(i + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)*y**(-6\/7) assuming y is positive.\nAnswer: y**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 22. Is p - -485*(5 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79290, 5 in increasing order.\nAnswer: 1, 5, 79290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q**3 + 0*q + 4 + 2\/5*q**5 + 3\/2*q**2 + 0*q**4. Find the second derivative of j(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 49*t + 64. Is s(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 19173.\nAnswer: 153384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -989 + 1164. Calculate the remainder when v is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463776579 to the power of 1\/2, to the nearest integer?\nAnswer: 21535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = z - 6*z + 5*t, 15 = z + 5*t. What is the remainder when 36 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:24 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -5. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + 15 - 7) + -41?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86552 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 comes next: -131, -130, -123, -104, -67, -6?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -354*i*t**2*v**3 + i*t**2*v + 574*i*t**2 - 29*i*t*v**3 + 16*t**2*v**2 wrt v.\nAnswer: -2124*i*t**2 - 174*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/((q**1*q)\/q))\/q*q*q)\/q)**(-1\/20)*q\/q**(-2\/15)*q**(-1\/3) assuming q is positive.\nAnswer: q**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6607743.\nAnswer: 3, 31, 227, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.47, 9, 4\/3.\nAnswer: -0.47, 4\/5, 4\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00726 rounded to four dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3828 + 85.7372. Round o to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233050488.\nAnswer: 2, 3, 11, 251, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -29*u**6\/30 - u**4\/24 + 1471*u**3\/6 - u**2 - 96*u. What is the first derivative of s(w) wrt w?\nAnswer: -348*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0, 1, 0.4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(1584) + -1)) + sqrt(11) + 1)*6.\nAnswer: -60*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 40461 - 7953. Calculate the highest common divisor of 210 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1944 and 360.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*i**2 + 76*d*i - 12396911*d - 8*i**2 + 1771*i wrt i.\nAnswer: -4*d*i + 76*d - 16*i + 1771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*2.3.\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 977, 962, 931, 878, 797, 682, 527?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**7\/210 + 17*r**6\/120 - 19*r**5\/20 + 59*r**4\/24 - 10*r**3\/3 + 12*r**2 + 11. Let z(j) = 0. What is j?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 43182*m + 359. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-15)*(-5 - 15\/(-6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + 16\/6. Let u = m - -20. Suppose 0 = s + j - u, -s = -3*j - 34 + 12. What is the remainder when 65 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309983849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 15. Solve w - 3*z = -4*w + 34, b*w + 2*z - 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020753306 rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + m = -1, -4*u - m = 1 + 5. Which is greater: u or -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -113\/9 (b) 4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {o: 1, r: 4, t: 1, s: 1, g: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0750096292 and -112009?\nAnswer: 112009.0750096292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -12562.1\nAnswer: -37686.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453 - 266. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-5))\/((-14)\/7*-6*11\/132)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237944*f**2 + 476088*f**2 - 237756*f**2.\nAnswer: 388*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953589\/3 at least as big as -984530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38761, 70853, 102945, 135037, 167129?\nAnswer: 199221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 32 = q, -7*q - 5*w - 66 = -10*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-1050)*25\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1829 by -30.\nAnswer: -1829\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 24*b**2 + 8*b + 8. Let h(n) = n**2 + n + 1. Calculate -8*h(v) + k(v).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - d + 263. Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-24)\/3. Suppose 2*m - 7*m = 4*s - 26, 3*s - 16 = -2*m. Suppose 0*h = -2*v - 2*h + m, y*v + h = 10. Solve 2 = -l + v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:15 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 - 1087*w**3 + 2614 - 2818.\nAnswer: -1087*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + z**3 + 6 - 2*z**4 - 5 + 0*z**3 to m*z**3 + x*z + h*z**4 + k*z**2 + c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 222*t**3 - 7*t**2 + 52*t + 58. Let m be n(-1). Which is the fourth biggest value? (a) 0 (b) -2\/3 (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 7*p**2 + 8*p + 6. Let t be u(-8). Suppose n = t - 2. Suppose 3*x - 163 = -5*z - n, -z = 4*x - 212. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 703 = -2740. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -3. Let i be (-1 - p)\/(3\/9). Suppose 0 = 29*b - i*b - 48. What is the highest common divisor of 48 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14\/(m\/m**(-15\/4)*m)*(m*m**(1\/23))\/m**15)**31 assuming m is positive.\nAnswer: m**(-16275\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 49.\nAnswer: -5, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-1\/2))**(-1\/25)*(r**(-1)*r)**35)**(11\/7) assuming r is positive.\nAnswer: r**(-11\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3\/7 + 24*l**2 - 156*l\/7 - 328\/7 = 0. What is l?\nAnswer: -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370130 is divided by 279.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 13577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 2*b**3 + 9*b**2 - 6*b**2 - 24*b - b**4 - 3*b**2 to n + x*b**4 + s*b**3 + z*b + h*b**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1383, -11076, -37413, -88722, -173331, -299568, -475761, -710238?\n\"Answer: -1388*t**3 + 6*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/24*(-3)\/(-1). Which is the nearest to 1? (a) -4 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.95 + -0.05. Let p = 0.43 + -20.43. Let w = p + 20.4. Which is the third biggest value? (a) i (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1872)\/(-702))\/(16\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(n*n**(-36)))*n*n)\/n)\/n**24)\/(n**6\/n**(-10\/13)))**(2\/29) assuming n is positive.\nAnswer: n**(-1684\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 2410\/9, 7, -4\/5, -0.2, -0.1, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyydydyydyyy. Give prob of picking 2 d and 2 y.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d - 2*d**2 + 3*d**2 - 115 + 45*d - 2*d**2 + 26. Let f be x(3). Solve f*n = 5*y - 29, 0 = 3*y - 0*y - 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 840 and 6960.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 2. Let m(d) = 4 + 2*d + 3 - 6*d - 5. Give -3*m(n) - 2*w(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, b: 1, y: 6, g: 2, v: 3, a: 1}. Give prob of picking 2 v and 1 b.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2.8. Let j = 0 - m. Let s = 1.80076 - j. Round s to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21851943?\nAnswer: 3, 163, 44687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287 - 408. Suppose 5143 = -48*q - 809. Are q and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -2059507?\nAnswer: -8\/2059507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 1. Let k(r) be the second derivative of 0 - r + 1\/48*r**4 + 1\/80*r**5 + 0*r**3 - 1\/120*r**l + 0*r**2 - 1\/168*r**7. Let k(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -367935 and -8.719231.\nAnswer: -367943.719231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 2*z - 4*z. Let r(m) be the third derivative of m**5\/20 - 426*m**2. What is r(a(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6))\/((-3)\/16). Let s(g) = -3*g + w + 4*g + 2*g. Does 13 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 3*f + 3*f)*((-1 - 3 + 2)*(5*f - 6*f + 4*f) + (-3*f - f + 3*f)*(1 - 3 + 1) - 65*f + 57*f - 163*f).\nAnswer: -352*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372862843?\nAnswer: 372862843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2 - 1081221*z\/4 + 135153\/2 = 0.\nAnswer: -90102, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12985*r - 314*r - 9466*r - 2.\nAnswer: -22765*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 69. Suppose c*v - 72 = -2*v. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654 - 654 + 9*z - 10*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c + 335 - 1760. Calculate the greatest common factor of 76 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166788060 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -1\/532 (c) -32 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19, -5, 3\/7, -4\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(3\/22))**(1\/37) assuming h is positive.\nAnswer: h**(-3\/814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5169 - 36536 = -7*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, -0.4, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27352\/180 - 10\/(-225). Let f = 20 + -1. Calculate the greatest common factor of f and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 2:12 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9018.541 decades in years?\nAnswer: 90185.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1167, 3\/8, -21.5, -3\/4 in descending order.\nAnswer: 1167, 3\/8, -3\/4, -21.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:58 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)\/(6\/9). Let t(m) = -m + 10. Let x be t(13). Let n be x\/(k - 74\/24). What is the highest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 948? (a) -0.5 (b) -5 (c) -3 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/24626360 and -41\/329097720.\nAnswer: 3620074920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*g + 132 + 246 = 0. Let h(v) = 4*v**3 + 2*v + 1. Give h(g).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 1276*l**2 - 1276*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/20 + 17*c**4\/12 - 7*c**3\/3 - 11*c**2 + 12*c. Let x be r(16). Solve 0*u + 2*u = -x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 5*r - r)*(4*r + 7 - 3 - 3*r) - r - 109620*r**2 + 109774*r**2 + r to y*r**2 + p + l*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934340031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - y. Let v = 76 + -54. Calculate the least common multiple of v and g(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(3\/20)*t**(5\/4)*t*t**(-5)\/t assuming t is positive.\nAnswer: t**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/11431 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 21. Let i(b) = 7*b. Calculate i(u(o)).\nAnswer: 14*o**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 120664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66232950 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xxnxxxxjxxjxd?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 97. Suppose t = -0*t + 2*k - 10, -3*t + 3*k = 21. Let v(u) = 5*u**3 + 3*u. Let i(y) = 6*y**3 + 4*y. Determine l*i(d) + t*v(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 2134?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.45242 millilitres to litres.\nAnswer: 0.05045242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(1\/((-324)\/8)). What is t rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Suppose -x*l - 9 = -2*l, -10 = -5*w - 5*l. Suppose 2*g - w*g = -9. Which is the closest to -0.2? (a) -2\/7 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*n**2*z**4 - 5310*n**2*z**3 + 6*n**2*z**2 + 6296*n**2 - 10*n*z**2 wrt z.\nAnswer: -528*n**2*z - 31860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1321 + 1520. Solve 0 = -2*o + j - 197 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8\/6 + (-23523)\/(-9) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55607 to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 5\/158112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 1\/2, -1.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 58.919, -147, 0.2 in decreasing order.\nAnswer: 58.919, 0.2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2519967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u = -40*u + 120. Let z = 47 + u. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 261658 - -43790.\nAnswer: 305448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -12115.\nAnswer: -14\/12115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 447.8 - 448. What is the closest to 1\/23 in 30, -1\/2, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -11?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (444\/999)\/((-42)\/27)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324852 and 2996?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 63*f - 3. Let a(u) = 1745*u**2. Give r(a(l)).\nAnswer: 109935*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/5467975 or 1?\nAnswer: 14\/5467975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q. Let y(x) = -1002*x + 6. Determine n(y(s)).\nAnswer: 5010*s - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/60 - 38*z**2. Suppose 0 = -3*y + 2 + 4. Let r(k) = -3*k**y + 6*k**2 + 0*k**2. Determine l(r(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -33. Suppose 4*s - 36 = -a*c, 0 = 3*s + 4*c - 11 - 9. Let u = -10 - -19. Is u not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18*-3*(-12)\/24. Which is the second smallest value? (a) r (b) 0.1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12451 + 27700. What are the prime factors of z?\nAnswer: 3, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*j**3*s**2 - 2*f*j**2*s - 3*f*s**2 - 44*j**3*s + 7*j*s**2 wrt s.\nAnswer: 2*f*j**3 - 6*f + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/((-2)\/(-15)). Let m = -11 + 5. Let b = u + m. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*i = -3*u + 9, -3*u = 3*i + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30.9974784483+-0.1\nAnswer: 30.8974784483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6279)\/(-2576))\/(3510\/216)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca - -5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-360)\/280 + 8\/7). Let a(l) = -2*l - 26. Give a(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 27*x. Let v(q) = 9*q**2. What is m(v(r))?\nAnswer: 81*r**4 - 243*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 1\/4, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177 - -43. Let d = q - -324. Let p = d - 190.089. What is p rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -9*f**2\/2 - 171. Let n(p) be the third derivative of p**5\/60 + 4*p**2. Calculate a(n(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9555 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10110?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u**4 - 17*u**2 - u - 24.\nAnswer: 72*u**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47373 - 23825. Is 116 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let j(i) = -i**3 + i**2 + 8. Calculate the lowest common multiple of j(q) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1093862*b - 414. Let c be i(3). What is c rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-152)*(-4)\/(-280)*-2?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = 0, 0 = -5*b + 2*b + 2*d + 4. Suppose 2 = 2*w - b. Differentiate w - j - 4 + 2*j wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + 86. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*j = -23, c + j = -2*c + 19. Suppose 3*b + 4 = -5. Let x(m) = m**3 + 7*m**2 + 16*m + 59. Let t be x(-6). Put b, c, t in ascending order.\nAnswer: b, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(3\/5))\/z)\/(z\/z**0)*z**(1\/6)\/(z\/(z*z*z**3*z)*z))\/(z**(2\/5)*z**(-1\/4))**33 assuming z is positive.\nAnswer: z**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6677293 to the nearest integer?\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 30 = 2. Let b be (3 - 4)*((-4)\/(-3) + 189\/(-81)). Sort b, y, 0.2.\nAnswer: y, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20 and 72\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z. Let d(f) = -56*f**3 - 16*f**2 + 16*f - 64. Let y(b) = 16*c(b) + d(b). What is the first derivative of y(r) wrt r?\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h, q - 128 + 42 = 2*h. Calculate the highest common divisor of 5226 and q.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.92. Let u = 24.54985 + -24.47. Let o = u + i. Round o to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*j - 39132 = 0, -23*j + 21*j = 3*t - 29347. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24759 = -13*y + 24733. Put 0.1, -2\/11, 2\/7, 2\/15, y in increasing order.\nAnswer: y, -2\/11, 0.1, 2\/15, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - x + 2. Let b(l) = l**3 + 11*l**2 + 11*l + 8. Suppose -2*p = -2*q + 26, 0 = 3*q - 7 - 2. Let h be b(p). What is m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1118237 - -5?\nAnswer: 1118243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -36021, 9, 0.3 in ascending order.\nAnswer: -36021, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 2*k**2 + 3*k**2 + (0*k - 3*k + k)*(k + 3*k - 2*k) + 0*k**2 + k**2 - 3*k**2)*(1 - 3 + 1) to p + r*k**2 + i*k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 5. Let v be n(4). Solve -v = q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -169c86 (base 16) in base 3?\nAnswer: -2210021201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(119) + (sqrt(119)*4 - sqrt(119) - sqrt(119)) - sqrt(119))\/sqrt(7) - (2 + sqrt(170)\/sqrt(640)).\nAnswer: -2 + 95*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.30405841 to two decimal places.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80000000 rounded to the nearest one million?\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from obosfoffoffsf?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 10. Let x be b + -3 + -6 + 0. Put x, 3, 5, -4 in increasing order.\nAnswer: x, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/5)\/(4\/20). List the prime factors of 2 + g\/9*-123.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-244)\/(-36) - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8149 and 17516.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 - (-2 + 1). Which is the nearest to -0.1? (a) 0 (b) -2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let a be -1 + n + (1 - 1). Let v(b) = -b**3 + 9*b**2 - 5*b - 2. Let d be v(8). Solve -3*k = a*k - 2*f, k + 4*f - d = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 254847 = 42195. What are the prime factors of a?\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*r = 0, -3*x - 4862*r + 9 = -4859*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69*j**2\/7 - 7933*j\/7 + 230\/7.\nAnswer: -(j + 115)*(69*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.19 - 1.23. Let i = j - 3.98. Let f = i - 0.98. Which is the smallest value? (a) 2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.166 - -92.834. Let h = i + -95. What is the fourth biggest value in 0, -5, h, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*x - 3063, -x + 753 = -j + 4*j. What are the prime factors of x?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/10 - f**2 + 4. Let p(a) be the third derivative of 19*a**4\/24 - 4*a**2 - 17. Determine o(p(d)).\nAnswer: -2166*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.780021 millennia?\nAnswer: 69360.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 17. Let o(l) = -2 - 3 + 8 + 3. Let y(t) = -3*i(t) + 8*o(t). Is y(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15324896 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*t - 380421 = -378533 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 8*q + 4*q - 22*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000047759378 rounded to seven dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 364 + -358. Solve -2 = -b*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + p + 4*p = 21, -39 = -5*t - 2*p. Let k(v) = -6*v**2 + t*v + 0*v**3 + 22 + 3*v**3 - 3*v**3 - v**3. Does 2 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*y**2 - 35*y**2 - 58*y**3 - 40*y**2.\nAnswer: -58*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 124 = -38. Suppose -12*h + i*h - 6975 = 0. List the prime factors of h.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 15.9, 0.4, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*c + 80, 983*c - 981*c = -0*p - 3*p - 25 - 15 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f - 13 - f**2 + 7 + 1. Let g be r(6). Solve 0 = -5*k - 2*l - 13, 5*k + 4*l = g - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 26104*z**2\/5 + 521939*z\/5 - 564 = 0?\nAnswer: -20, 141\/26104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 41736?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 4*v + 11 = 17*y, 4*v + 16 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -547.46213 - 763\nAnswer: -1310.46213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2108, 4434, 6760, 9086?\n\"Answer: 2326*n - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -400, -660?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3208 = 138*x + 1276 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*m = 7, -m = -2*k + 9 - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - h - 4)*(-4*h**3 + 4*h**3 + h**4 - h**2) + 9*h**5 + 12*h - 12*h.\nAnswer: 8*h**5 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j - 232. Let t be c(-24). Sort t, 3\/2, 5 in decreasing order.\nAnswer: t, 5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/2)*i**(1\/16) assuming i is positive.\nAnswer: i**(57\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*p + 124*p = 84. Solve x = 5*m - 9, 2*m + 13 = -p*x + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*c + 33 = 0, -1994*c + 1989*c = -5*h + 15 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 2, k: 7}. What is prob of picking 2 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 176, 160, 126, 68, -20, -144, -310?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 2*m + 7. Let r be t(0). What is the highest common divisor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/633714 and 79\/18?\nAnswer: 1901142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:14 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2701048 and 14227?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {d: 2, y: 2, p: 1, k: 12, j: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*c + 54*c**2 - 60*c**2 + 86*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 7*u - 6. Let v be u*((-18)\/4 - -3) + 0. Solve v = z + n - 0, 0 = -z + 3*n - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2*r + 1\/2*r**4 - 2 - r**2 - r**3. What is the tens digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-2))\/(1\/2). Let o(v) = 16*v**2 - 7*v + 2 - v - 1 + 2*v**2 + 4*v - 19*v**2. Calculate o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 + z + z**2 + 7 - 8*z**3 - 8. Let d be p(1). Let l = 8 - d. Calculate the remainder when 22 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-2 - (sqrt(13) + sqrt(39)\/sqrt(3) + -2).\nAnswer: -20*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, 0*x + c + 1430 = -5*x. Let q = 287 + x. Are -2\/93 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 91368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87981 - 351910 + 2*x + 87974 + 87977 + 87978.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhu when three letters picked without replacement from vmhuvvuvvvvm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 53102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1154 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/1 + -2 + -3. Let f = -7 + c. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 2, x: 1}. What is prob of sequence jjxw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 4 (c) -22454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*p - 42*p = 165*p - 3720 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89970 - -15.\nAnswer: -89955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5 - (-370)\/150?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 29 = -13*v. Let y = 39 + v. Is y - (-12)\/(3 - 6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 2. Let s be l(-9). Suppose -s - 1 = 3*f. Is 8*(-1)\/f*13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531086 is divided by 1325.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:07 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50377966123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -5967\nAnswer: -5912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 172*x - 4. Determine l(-6).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 + 40*s**2 - 74*s + 36 = 0. What is s?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f - 3. Let u(y) = -9*y + 2. Let h(k) = -5*i(k) - 4*u(k). Let z = -50 - -45. Is 27 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 + 792. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 12*y - 13. Let q be a(7). Is 12758\/10 + q - 31\/(-155) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:09 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1) + 5 + 33. Let l be (1 - 3\/6)*h. Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 305*r + 2. Let h(i) = 203*i + 1. What is -5*c(d) + 8*h(d)?\nAnswer: 99*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.014 (b) 1\/3 (c) 2\/11 (d) 0.2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5080\/(-300) + 18)*((-891)\/36)\/(-3)?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 - 18*u**4 - 12*u**3 + 18*u**2 + 15*u = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 41*t + 74 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**3 + 5*r**5 + 9*r**3 + (0*r - 3*r + 2*r + (-1 + 1 - 2)*(0*r + r + 0*r))*(0 - r**4 + 0).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 145728959\/4 and 36432239 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l - 2*l**3 + 5*l + (-3*l**2 - 4*l**2 + 14*l**2)*(-12*l + 10*l - 14*l).\nAnswer: -114*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 745*t**2 - 18*t + 18*t.\nAnswer: 747*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157337579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2274, -4515, -6742, -8949, -11130, -13279?\n\"Answer: v**3 + v**2 - 2251*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 + 216. Factor b*z**2 - 3*z**2 + 6*z - 3*z.\nAnswer: -3*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*a - 11*a. Let m = 7163 - 7154. What is the highest common factor of a and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - -7) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40417 = -w - 12*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2296 + -2295.5. What is the fourth biggest value in x, 3\/7, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.5, 4\/3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(20)*1)\/sqrt(10)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8130 and 423573?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 604 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {d: 1, a: 3, v: 1, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(28)\/(sqrt(144) + sqrt(144)*-4 + sqrt(144)).\nAnswer: -5 - sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-2)\/(-6)*10. Suppose -3*v + 4*v - 3 = k, v = i. Calculate the least common multiple of k and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/(-15) + 1)\/((-628)\/(-24) + -26). What is the nearest to 0 in k, 10, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixki when four letters picked without replacement from {f: 4, k: 4, s: 1, x: 3, i: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -10 + 5)*(65 - -102 - 56)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 8, q: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.018 (b) -4\/7 (c) -71 (d) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 5*w + 4*w. Let v(i) = 13*i - 47*i + 10*i + 12*i + 16*i. Determine 6*g(s) - v(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -297, -5 in increasing order.\nAnswer: -297, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.631035 centimeters in millimeters?\nAnswer: 16.31035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 - 3*i + 5*i + 40 - 3*i.\nAnswer: -i - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2120*s - 2135*s**2 + 2120*s - 2*s**2 + 0*s**2 + 3*s**2 + (s - 6*s + 4*s)*(2 - 2 - s) - s**2 + s**2 + 2*s**2.\nAnswer: -2131*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5881*a**6*h + 154*a**2 + 2*h + 9 wrt a?\nAnswer: 705720*a**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*f - 167, 3*x = 5*x + 2. Suppose -34 + f = 2*d. Let h(l) = -2*l**3 + 5*l**2 + l**3 - 2 - 3*l + 2*l**2 - 2*l**2. What is h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 324, -1.\nAnswer: -4, -1, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -77315 divided by -15463\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -80\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -396418927 - 5521?\nAnswer: -396424448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 148.8.\nAnswer: 149.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b + 5*s - 1 = 47*b, -s = 5*b + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + -9 + 12 - 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-25685)\/(-99) + 24\/(-54) and 296?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15694*i*m*o + 21*i*m + m + 289 with respect to o.\nAnswer: -15694*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + 4*v)*(2 - 2 - 2*v**3) + 173354*v**2 + 5 + 92*v**4 - 173354*v**2 - v**4 - 2*v**4 + 5*v**4.\nAnswer: 90*v**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:23 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -46*y + 29*y + 13*y. Let z(x) = -22*x + 2. Give q(z(k)).\nAnswer: 88*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70266.1 - -80114. Round x to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -421 - -449.7. Let x = 27 - f. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 53 - (22 - (5 + 0))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 4, -3.5, 101?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(2997\/(-2812)) - 24. Factor 2\/15*l**2 - 22\/15*l + p.\nAnswer: 2*(l - 10)*(l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39863 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 21*h**2 - 20*h. Let v be k(20). Suppose -4*i + 2*q + 8 = 6*q, i + 2*q = 6. Put i, v, -1 in decreasing order.\nAnswer: v, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 36*s + 35. Let k(m) = -3*m**2. Calculate x(k(q)).\nAnswer: -108*q**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56.82 + 54.2. Let d = r - -37.62. Which is the biggest value? (a) d (b) 1\/6 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:27 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -105*v - 3. Let f(b) = -262*b - 7. Let m(a) = 2*f(a) - 5*s(a). Let w(c) = 2*c + 1. Give 7*m(t) - 6*w(t).\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -29*m - 20. Let f(r) = 10*r + 7. Determine 11*f(n) + 4*p(n).\nAnswer: -6*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13460*c**3*r**2 + 7502*c**2 + 23*r**2 + 3*r - 752486 wrt c?\nAnswer: 40380*c**2*r**2 + 15004*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -119. Calculate the greatest common factor of m and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 19 = -5*k, -3*k + 6 = 557*u - 554*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*b*m**2 - 22*b*m - 5*b - 7*m**2 - m wrt m.\nAnswer: -110*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 627.872 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 283*q + 225*q**2 + 231*q + q**3 + q**3 + 256 + 35*q**2.\nAnswer: 2*(q + 1)**2*(q + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28517790473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47474, -94941, -142408, -189875, -237342, -284809?\n\"Answer: -47467*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -8161.6.\nAnswer: -8140.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + d**2 + 3)*(4 + 1 - 3) - 3*d + 2*d**2 + 3*d - 3*d**2 + 2*d**2 - 19*d**2)*(d - d + 4*d**2) + 3*d**4 - 1 + 1.\nAnswer: -61*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3030 - -5136. Suppose -g = -6*r - 0*r. Let a = r - 196. Does 31 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:23 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:20 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1213190 and 1698466?\nAnswer: 8492330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -59*s**8\/336 - s**7\/105 + s**4\/8 - 65*s**3\/3 - 882*s**2. Find the second derivative of q(o) wrt o.\nAnswer: -1180*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + 15\/10. Let w be (-9)\/g*(-6 - -4). Let x(b) = b**3 - 10*b**2 + 10*b - 4. Let i be x(w). Let s(j) = j**3 - 6*j**2 + 5*j + 3. Calculate s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 93 = 3*d. Let j be -3*d*(-4)\/8 - 3. Suppose j = 2*z - 3*x + x - 24, 30 = z + 5*x. Calculate the highest common factor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3, 2, -433167, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153200 and 119200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -362 and -21316297939.\nAnswer: -21316298301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-2 - 0) + 4 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 88.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 + 5*l. Let m be f(-5). Suppose m = 5*v - 13 - 17. Find the first derivative of 1 + 3 - i**3 - v wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.706311 + 0.73758. What is u rounded to 4 decimal places?\nAnswer: 0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968616.\nAnswer: 2, 3, 11, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeleweleererweelwre. What is prob of picking 1 e, 1 r, and 2 w?\nAnswer: 33\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 36 = -4*l. Suppose p - l - 3 = 0. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, d: 5, n: 2}. Give prob of sequence pnpd.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -37. Suppose 9 = -t - p. Let l = t - -13. Let w(q) = -5*q + 4. Calculate w(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/2 - 111*b\/2 - 55 = 0.\nAnswer: -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -158115721*-1.3\nAnswer: 205550437.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5528111 + 2*k**3 + 2764056 + 2764055.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5429?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127247 is divided by 1463.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -1012?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-5 + -5) - (12 + -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1422, -8, 7, 15 in decreasing order.\nAnswer: 1422, 15, 7, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/175980 and -43\/72.\nAnswer: 1055880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1742*o**2*t**2 - 369*o**2*t + 51*o**2 - o*t**2 - 4*o*t - 124*t**2 - 2*t - 2 wrt t.\nAnswer: 3484*o**2 - 2*o - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 2*t - 4. Let u(z) = 12*z - 80. Let l be u(7). Let y(w) = 1. Determine l*y(a) + c(a).\nAnswer: -3*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102609571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 3 + (-46 - (-39 + 0))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d - 18. What is the remainder when (-1 + -3)*(-18)\/4 is divided by n(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/4, 3, -5, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292 + -288. Let d(o) be the second derivative of 0 + 1\/32*o**q + 27\/4*o**2 - 3\/4*o**3 + o. Factor d(f).\nAnswer: 3*(f - 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1536, 0 in decreasing order.\nAnswer: 1536, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15207 - 15063. What is the highest common factor of o and 3402?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 26*t = -20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 151068?\nAnswer: 151067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 21. Let n be (i\/16)\/(3\/2). Is n at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/3522 and -95\/18.\nAnswer: 10566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(2*a - 3*a + 4*a - a**3).\nAnswer: 2*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 531, 822, 1113, 1404, 1695?\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4, r: 1, k: 1, v: 5, h: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92437 - -574.\nAnswer: -91863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*f - 1779 = 1393 - 542 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 - 45*o**2 - 216*o - 324 = 0. What is o?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328 + -336. Let r be ((-133160)\/16650 - l)*(-5)\/6. Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5582533, 5582536, 5582539, 5582542?\nAnswer: 5582545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5 + 4*m - 19*m**2 + 20*m**2 - 3 + 3. Let q be p(-4). Solve -q*d = 5*t, -d - 1 = 2*t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22) + (-400)\/1650*13\/(-12)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3 - -30.\nAnswer: 27.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 358.4 + -66.4. Let h = z - 174. Let b = h - 117.99897. Round b to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*v - 29, -r + 0*v - 1 = -v. Let h = r + 3. What is the smallest common multiple of h and (-1 - 0)*(11 + (-182)\/13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.13 (b) -13 (c) -2 (d) 54 (e) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 0*q**2 + q**2 + 4*q - 2 - 4*q. Let t be u(-2). Suppose o - t*o = -3*v - 1, 4*o - 4*v = 12. Solve 0 = -o*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q + 1. Let d(c) = 6*c**2 + 24*c - 20. Let y(s) = -d(s) - 5*g(s). Let i be y(-19). Calculate the highest common divisor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1124, -4335, -9580, -16859, -26172, -37519, -50900?\n\"Answer: -1017*l**2 - 160*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78180, -156505, -234836, -313173, -391516, -469865?\nAnswer: -548220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1876?\nAnswer: 3\/1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/147)\/(10230\/(-2565) - -4).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -33*q**2 - 5*q - 5. Let a(h) = -48*h**2 - 7*h - 7. Let l(j) = 5*a(j) - 7*u(j). Let k(b) = -109*b - 112*b + 240*b. Calculate l(k(i)).\nAnswer: -3249*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r + 242 = 60*r. Let b(s) = -s**3 - 5*s**2 + s + 4. Let c = 2 - 8. What is the least common multiple of b(c) and r?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -315bd9 - -10?\nAnswer: -315bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -237434*x**2 - 10447092*x + 176 = 0. What is x?\nAnswer: -44, 2\/118717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 6. Suppose 11610 = s*k - k. Round k to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 627561 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2315355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -287624 minus 0.16?\nAnswer: -287624.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163117 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1402)\/3505)\/(24\/(-5)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let o(s) = -11*s**3 + s**2 + s - 1. Suppose h + 12 = 11. Let a be o(h). Let f(w) = -11*w**2 + a*w**2 + 11*w**2. Give f(y(t)).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 360 = 2*a. Let z = a - 90. Suppose -3*o + i + 4*i + 4 = z, 0 = 2*o - 5*i - 1. Solve -4*b = -15 + o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:54 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37486, 74973, 112466, 149971, 187494, 225041?\nAnswer: 262618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1795)\/(-700) - (1 - (1 + -3)). Let v = b + 3\/20. Put -0.07, -0.5, v in ascending order.\nAnswer: -0.5, v, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aja when three letters picked without replacement from ajajjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*k + 3*k. Let p(v) = -6*v**2 - v + 1. Give p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 + 2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15d7851 - -4?\nAnswer: 15d7855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 - 93. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 416944 or 416969?\nAnswer: 416969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + b - 3*b - 660, m = -4*b + 156. Suppose m = 5*z + 2*j - 505, 3*j = 6. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19111 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 7, -2\/17, 8, 0.5, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4570 + -4572. Sort 1, p, 0, 10 in increasing order.\nAnswer: p, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 966.016 grams?\nAnswer: 0.966016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3)\/((-8)\/20). Does 4 divide (f - (-2 + 1))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/7)*c*c*c))**(-27)\/(c**(7\/2)\/(c**0*c)) assuming c is positive.\nAnswer: c**(613\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -2.8. Let v = -11 - -7. Which is the second smallest value? (a) u (b) -0.01 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8*w - 90. Let k be w\/18*3 + 3 + 5. Solve 0 = -4*a + 5*m - 6, -4*a + 4*m + 2 = k*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (-2 - 0\/(-2)). Calculate the remainder when 2\/(2 - 32\/17) is divided by g - (1 + -2)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4595 is divided by 1441.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*j + 3 + 9, -5*h + 4*j - 41 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 + 6*i**4 + 28 - 18 - 16 wrt i?\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12321.8 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-8)\/(-14))\/(10\/44695)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/7 + 1058*x\/7 - 1056\/7 = 0. What is x?\nAnswer: 1, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 279957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Let k be -2 - (0 + -2 - 2). Suppose -4*n + 12 = -k*n. Calculate the smallest common multiple of r and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/24 - 2*a**2. Let k(w) = 3*w**2. Determine k(r(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (4 + (sqrt(684) - -5*sqrt(684) - sqrt(684)) + sqrt(684)) - (sqrt(684)*2 + 4))**2.\nAnswer: 672*sqrt(19) + 33580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 6*s - 2*t - 2, s - 3*t = 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*v + 35 - 35)*(-624 - 9*v**3 + 624) + (-v + 3*v - v)*(3*v**3 + 2*v**3 - 4*v**3) to p*v + i + w*v**3 + m*v**4 + r*v**2 and give m.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(2\/12) - -124. Calculate the common denominator of (-1126)\/140 - (-18)\/b and 29\/(-111) + 2*3\/(-18).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*m**2 + 31*m**3 + 8*m**3 + 690*m**2.\nAnswer: 39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127134 is divided by 164584?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.17512 - -0.4\nAnswer: 0.57512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 31 - 10*l - l**2 + 0*l**2. Suppose 0 = 3*x + 2*x - 30. Calculate the remainder when t(-4) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69276 divided by -63.\nAnswer: 23092\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 4*z - 3*o + 8*o - 26 = y, -6 = -3*z + 3*o. Suppose 2*b - 99 - 72 = -5*d, z*b + 120 = 4*d. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2210 divided by -26\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 6. Let s be p(6). Let f be (-2 - 16\/(-14))*-7. What is the units digit of f\/(s - (-1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -116291 + -396?\nAnswer: -116677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 8*l + 1176. Which is smaller: l or -82?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 33888*v**2 + 33897*v + 67782.\nAnswer: -3*(v - 2)*(v + 1)*(v + 11297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7617.025 minus -84?\nAnswer: -7533.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 2*d - 6. Let v be k(-5). Let n = -3149.5 + 4033. Let q = 884 - n. Put 3, v, q in decreasing order.\nAnswer: v, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 3*x. Let b(a) = -5*a**2 + 13*a. Let k be ((-12)\/15)\/((-4)\/(-90)). Let f(v) = k*m(v) + 4*b(v). Let f(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000110111100 (base 2) to base 8\nAnswer: -30674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 265 - -53?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 = 3*t + 4*m, 2*t - 3*m = -t - 786. Let r be 9\/12 + t\/(-12). Solve 3*c + 8 = -1, c + r = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(85) - -2*sqrt(85)*4) + sqrt(85))\/sqrt(5).\nAnswer: 3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 - 23. Let a(o) = -o**2 + o + 36. Let u be a(0). What is the greatest common divisor of u and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072263 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84564 is divided by 28172.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (766 + -750 - (-1 - -88)) + 30\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.9857 centuries to decades.\nAnswer: 3999.857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 + 286 = -5*v + 3*v + a, -4*a - 30 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.401973 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*1*(-4 + (-3)\/4). Let z = 88 - q. What is the remainder when 56 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 4. Let t(g) = -6*g + 6 - 6*g + 10*g. Let o be t(0). Calculate x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and 75\/32979796?\nAnswer: 98939388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*t**3 + 13*t - t - 16*t**4 + 22*t**2 - 4 - 2*t**2 = 0. Calculate t.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122 + 1197 = -609*m - 164*m. Let w be 4\/(-6) + 125\/3. Sort -4, w, m, 1 in descending order.\nAnswer: w, 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4.28, 1 in decreasing order.\nAnswer: 13, 4.28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12994, -54990, -124982, -222970, -348954, -502934, -684910?\n\"Answer: -13998*d**2 - 2*d + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) 2\/13 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 257 times 1\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99, -219, -349, -495, -663, -859, -1089, -1359?\n\"Answer: -g**3 + g**2 - 116*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*v + 697*v + 525*v + 615*v.\nAnswer: 1984*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13366, 13368, 13370?\nAnswer: 13372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014136205 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 + 0*j**5 + 3*j**5)*((-3 + 0 - 8)*(3 - 3 + 6) + 1 + 0 + 1 + 3 + 2 - 6 + (1 + 0 - 2)*(1 - 3 + 3) + 0 - 1 + 3).\nAnswer: -256*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 507440, 1014874, 1522308, 2029742, 2537176, 3044610?\n\"Answer: 507434*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60838 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3751405.\nAnswer: 5, 7, 107183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*a + 126*a - 30 + 19 - 16 - 8.\nAnswer: 236*a - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/12 - 5*z**3\/3 - 5*z**2 - 3*z. Let q be u(-9). Is 1\/2*(-106)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12480 - 8564. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 6. Let a(h) = -5 + 4 + 0. Suppose -4*v + 8 = -6*v. Give v*a(t) - m(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 44. Calculate the remainder when ((-3)\/(-3))\/((-2)\/(-52)) is divided by l(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + l**2 - 2*l + 1. Calculate the remainder when 14 is divided by p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + -36 + 5 - 61?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - 660\/(-198)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 74*v\/7 + 76\/7.\nAnswer: -2*(v - 38)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*q - 157*q = 2, -b + 123 = 5*q. Calculate the remainder when b is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217864 is divided by 54463.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-12)*632\/(-474).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-91)\/(-52))*105\/28.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - z**2 + 18 + 20.\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.14, -0.4, -5, -0.2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**2 - o + 0 + 1\/2*o**3 + 1\/3*o**4. What are the prime factors of j(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4)*(-644)\/(-12). Let l = q - 41. Let u be ((182\/4)\/(-13))\/7. Which is the third biggest value? (a) u (b) l (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:38 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 + 12078908*d - 36236688 = 0. Calculate d.\nAnswer: 3, 3019724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 5*b**2 + 4*b - 1. What is the remainder when 57 is divided by h(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 1276, 1914, 2552?\nAnswer: 3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/132 and 157\/420?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12946*y + 21. Let d(n) = -17262*n - 27. What is 7*d(z) + 9*r(z)?\nAnswer: -4320*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from {u: 6, k: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/(325\/1040).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**3 - 6*q**2 + 7*q - 7. Let r(k) = -k**2 + k + 25186 + 0*k**2 - 25187. What is 14*r(o) - 2*u(o)?\nAnswer: 8*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(8))**2*-3.\nAnswer: -27 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/3*-4. Let o(c) = -1 - 1 - 2*c + 5*c + c. Let a be o(5). What is the highest common divisor of a and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3002 + 19*p + 1485 - p**2 + 1480. Give h(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7176 + -7145. Solve -g - 23 = 27*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/120 and -79\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 35*h + 0 + (h - h - h)*(-5 + 19 + 0) + (-1 + 1 + h)*(0 + 2 - 1) + 0 + 0 - 2*h.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16))**(3\/8)*(w\/w**3*w*w)**(-8) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.42450157 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -4\/51, 5, 3, 43\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7280668 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28024, 28056, 28086, 28114, 28140, 28164?\nAnswer: 28186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124015 (base 7) in base 3?\nAnswer: -1011112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*s = -763*s - 780 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 7*a + 3. Let v be k(7). Suppose -72 = -n - v*n. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-26))\/(54\/(-16))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1433\/24 + 163\/3. Suppose -3*l + 1 = 7. Find the common denominator of o and (-114)\/4 + (-2)\/l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.43 - -5.5. Let d = v - 12. Let z be ((-2)\/(-4))\/((-6)\/(-4)). What is the second biggest value in d, z, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.08 - 1.32. Let l = n - -8.4. Put 0.2, 0, l in descending order.\nAnswer: 0.2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -126*b - 39. Let y(q) = 2*q**2. Calculate x(y(m)).\nAnswer: -252*m**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 588*v - 11. Let d(u) = -7*u. Give l(d(i)).\nAnswer: 147*i**2 - 4116*i - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 79*f**2 - 6820*f + 2230. What is c(86)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 423693 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 52. Let g be b(16). Put -3, g, -5, 5 in increasing order.\nAnswer: -5, g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Calculate the least common multiple of 16 and 5 + 3\/(u + 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**4 + 21915*v**3 - 197016*v**2 + 175104*v = 0.\nAnswer: 0, 1, 8, 7296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/2, -63, 2, -5, 24, -1.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*p + 1 - 2*p - p - 1 + 1 + (0 + 0 - 3)*(2*p + 0*p - 4*p) - p + 2*p - 3*p + 143 - 282 - 22*p + 137 in the form j + b*p and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/4, 2, -0.08, 5 in decreasing order.\nAnswer: 5, 15\/4, 2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -368*o**2 - 12*o - 5. Let q(y) = -y**2 - 2*y - 1. Give -5*q(u) + v(u).\nAnswer: -363*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3859\/4 + 29433\/28. Let n = j - 86. Suppose -2*d - 1 = -3. Is n smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -8. Let y = p + -6.3. Let w = 1.5 - y. What is w rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-42))\/(2\/3). Let n = -9.235 + 0.235. Which is the closest to g? (a) n (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 11\/4, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 91?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-10)\/4)*4. Let n(a) = -3*a - 3. Let x(s) = -3*s - 4. Let l(k) = 5*n(k) - 4*x(k). Let q be l(-1). Solve -h = q - m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, 0*q = 3*x - 4*q - 72. Suppose x = 2*r - 8. Calculate the remainder when 61 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0150335 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8035200 is divided by 934.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, n: 1, z: 4, v: 2, d: 9}. Give prob of picking 1 d and 3 k.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0*y - 2\/945*y**7 + 0 - 4\/27*y**4 + 32\/9*y**3 - 1\/27*y**6 - 29\/135*y**5 + 19*y**2. What is r in x(r) = 0?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*z = -z + 15, -3*d = -2*z + 14. Let h = d - 8. Let w be h + 9 - (2 - 1). Sort 25, 2, w in decreasing order.\nAnswer: 25, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 5 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w - 3. Let u be j(-1). Suppose -4*d + 3*d - 69 = u*h, 5*d + 15 = 0. Let y = h + 39. What is the lowest common multiple of y and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5. Suppose -3*g = -g + 5*g. Let x be b(g). Factor -8\/9*l - 218\/9*l**3 - 28*l**4 + 0 - 8*l**2 - 98\/9*l**x.\nAnswer: -2*l*(l + 1)**2*(7*l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 233*t**2 + 271*t - 3. Let i(n) = 2*n**3 + 234*n**2 + 284*n - 4. Let j(l) = -3*i(l) + 4*y(l). Factor j(u).\nAnswer: -2*u*(u - 116)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28178235 - -28177955.99881. Let s = -279 - n. What is s rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 53, 98, 163, 254, 377?\n\"Answer: n**3 + n**2 + 21*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x**2 - 104*x - 496. Let p = 10 - 6. Let f = -7157 + 7156. Let n(r) = -2*r**2 - r + 1. Let w(d) = f*b(d) + p*n(d). Solve w(u) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*q = -1 + 26, 4*h + 2*q - 10 = 0. Let o(y) = -y + 5. Let w be o(h). Solve w = 2*c + 2*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -3, 12, -0.04, 37, 1, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 3, -4, -11?\n\"Answer: -7*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 4. Suppose -6*c + 23 = 5. Suppose 2*o + 4*g = 72, 4*o + 5*g - 21 = c*o. Calculate the remainder when o is divided by u(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d - 29. Let r(s) = 7*s + 0*s - 8 + 12 + 26. Let w(k) = 6*r(k) + 5*y(k). Does 3 divide w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1799 - -4535?\nAnswer: 6001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 8116*z**2\/5 + 229886*z.\nAnswer: -2*z*(z - 4195)*(z + 137)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 1. Let h be w(-2). Is 6 a factor of -3 - (63\/(-3) + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3397 + 5405. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**3 + 22*w**2 + 16*w + 13. Let x be p(-6). Suppose -4*k = -4*j - 3355 - x, -2*j = -5*k + 6175. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/30 + 4*t**4\/3 - 955*t. Factor a(h).\nAnswer: -h**2*(h - 4)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/24 - 2\/8. Let c = 7\/24 - i. Suppose 0 = -7*y + 4*y + 15. What is the closest to -0.1 in c, 1, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 5*k**2 + 3*k - 9. Let q be d(-7). Suppose -q + 56 = -2*r. Calculate the greatest common divisor of r and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, i: 3}. What is prob of picking 2 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111057.4 and 101?\nAnswer: -11216797.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 + -0.04. Let y = -1.3635 + 59.3635. What is the smallest value in y, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w + 6*w. Calculate the lowest common multiple of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -4*t**7\/21 - t**5\/20 + 31*t**3\/6 - 27*t. Find the second derivative of r(n) wrt n.\nAnswer: -160*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msmp when four letters picked without replacement from {s: 1, w: 2, o: 1, m: 2, p: 1, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 215.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 26. Suppose 3*o - 5*w = 56, w = -o - 0*o + 32. Calculate the remainder when o is divided by x\/48 + (-118)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/13, -228\/109, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 925*t + 355. Is 15 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g. Let n(y) = 6 - 3 - 2*y**2 + 10*y**2 + 14*y + 2. Let z(f) = 5*j(f) + n(f). Is z(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.774 and -1.9.\nAnswer: -3.3706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(7\/7) - (-1 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h - 51. Let q be w(5). Solve 4*z - 3*z + 3*p = q, 2*z + 6 = 2*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/6) + (-91)\/(-35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*s + 269 = 0, 2*j - 13*s - 151 = -10*s. Let a(r) = -22*r**3 - r**2 - r. Calculate the remainder when j is divided by a(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r**2 + 7*r. Let c(l) = -2*l**3 - 3*l**2 + 2*l - 3. Let k be c(-3). What is the smallest common multiple of j(6) and (8\/6)\/(4\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 1 + 4 + 0*f + 1.\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + l + 16, 2*j + 3*l = 3*j - 6. Let f be (-1)\/(-3) - (-8)\/j. Is -5\/7 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6746 - 4893. What is the highest common divisor of 109 and f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/44 and 33\/104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222734068.\nAnswer: 2, 17, 3275501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + 29. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - 2*l**2 - 2*l**2)*(-44444 + 44444 - 373*l**2) + 27*l**3 - 27*l**3 + 3*l**4 to b*l + w*l**2 + j*l**4 + y*l**3 + t and give j.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 - -288. Let z be (-4)\/(-14) - y\/28. Is 49\/5 + z\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/26998 and -12\/418469.\nAnswer: 836938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 384825238 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -758 - -1059. What are the prime factors of q?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 3*r**2 + 8 + 6*r - r + 18. Let y be l(8). Let i(s) = s**3 + 4*s - 4. What is the tens digit of i(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -2\/17, -2.086, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-2)\/(-7)*1). Suppose -x*w + 5*w - 4 = 0. Put w, 5, 3 in increasing order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261 - 259. Let m = 0.95 + -1. Let p = 3.05 + m. Which is the closest to 0.1? (a) -3 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d - 2. Let t(w) be the first derivative of -w**2\/2 - 1. Suppose 7*y - 3*y = -24. Give y*t(o) - k(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7154 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149 a factor of 68073654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 12628?\nAnswer: 138908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*j - j**2 - 645*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6481\/229099 + 4097670662538\/121193371. Let z = 33811 - c. Let j = z + 12087\/5290. Find the common denominator of 8\/3 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(3\/6). What is the highest common factor of 4 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1671*o*p*t**3*u + 2*o*p + 32*o*t**2*u - 10*p*t**3 - 4*t**3 - 14*t**2 + 3*t wrt p.\nAnswer: -1671*o*t**3*u + 2*o - 10*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -379123 - -4?\nAnswer: -37911a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -4*m + 1\/4*m**4 - 2*m**3 + 1 + 7\/2*m**2. Is 4 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-9)*9\/4. Solve 2*n - 4*s - 2 = 10, 2*n + o*s = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(18*12\/45036). Do t and -142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234111 + 441143?\nAnswer: 1230304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 12*o - 3. Let k be n(-12). Let r(d) = -d**3 - 5*d**2 + 2*d + 6. Let v be r(-5). Sort k, -1, v in descending order.\nAnswer: -1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*q - 358 = -5*q, -4 = -2*q. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2261 and 14875?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.16 - -9.16. Sort 0.2, -5, 0.17, m, -0.2.\nAnswer: -5, -0.2, 0.17, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17963950 to the nearest integer?\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from pydynd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -4, -0.2, -0.5, 0, 14.\nAnswer: -4, -0.5, -0.2, 0, 0.8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = -t, -4*t - 3*b = 0. Suppose -2*o - 4*h - 14 = t, 5 = -3*h - 4. Let f(v) = -16*v**3 + v + 1. Calculate f(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -337, -5 in decreasing order.\nAnswer: 3, -2, -5, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 1, l: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (7 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 2 - 16*m**2 + 5.\nAnswer: -17*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1169 and 7904778?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3443*z + z**2 - 13.\nAnswer: z**2 + 3443*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 19. What is the smallest common multiple of 33 and g?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -964.5 and 1.6?\nAnswer: -1543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 554 = 32*a. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*t - 2*z + 3, 0 = -z - 3. Let v(b) = -5 - 795*b**3 + t*b**2 + 7*b - 3 - 10923*b**3. Let l be v(-8). What is l rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 329 - 327. Solve 0 = 15*h + 17 - a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*z - i + 6, z - 5*i = -3. Let w be 5 + (1 - z\/1). Suppose -w*u = -0*u - 44. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -1\/74, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 27*n**3 - 2*n**2 - 11*n - 255. Determine q(0).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -385, -585?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v + 46967 - 46967.\nAnswer: 43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -391\/12?\nAnswer: -391\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3 + 4*a - 3. Calculate o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 7.96519.\nAnswer: -7.96519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1329696mg in nanograms?\nAnswer: 132969.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 62757407*q. Let u(n) = 3*n**2. Determine c(u(j)).\nAnswer: 188272221*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.84507 nanoseconds to seconds.\nAnswer: 0.00000007284507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 28. Put 3, c, 0, 1 in ascending order.\nAnswer: 0, 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {v: 1, c: 2, i: 2, h: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/24*3\/2)\/((21033\/76)\/(-9))?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7*j + 12 = 3*j, 3*n - 2*j = 9. What is the first derivative of -25 - 31 - 13 + 16 + 265*m**n wrt m?\nAnswer: 795*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/27)\/(-2*32\/384).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(22))\/(sqrt(2) + (sqrt(2) - 5*-1*sqrt(2))).\nAnswer: -12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*h - 60 - 52 = 0, -5*d + 113 = -3*h. Let u = d - 21. Which is the closest to u? (a) 3\/4 (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 3*g + 0*g + 2740538*g**2 - 2752111*g**2 to m + s*g**2 + h*g and give s.\nAnswer: -11573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-323 + 308 - (-9 + 1)) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 12*v - 3*m - 7, 3*v - 9 = 3*m. Let n(a) = -3*a**2 + 2*a**2 - 1 - 3 - a + v - 2. What is n(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 2*f**2 + f**2)*(100 - 307 + 37 + f) in the form m*f + t*f**2 + i + z*f**3 and give i.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36021485 and 2555.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*s - 38*s + 25. What is the remainder when (1\/(20\/8))\/((-15)\/(-4875)) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**5\/10 - 5*k**4\/8 - 2*k**3\/3 + 29. Suppose i(q) = 0. Calculate q.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/18 - 1\/2. Let h(s) = s + 1 + q - 16*s**2 + 17*s**2. Let n(w) = -3*w**2 - 4*w - 3. Let x = -261 + 262. Give x*n(z) + 2*h(z).\nAnswer: -z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.915 + 18.1?\nAnswer: 17.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 679 + 868 = 0. Let p = j - 49. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 143433440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/360 - d**4\/48 + d**3\/18 + 21*d**2\/2 + 4*d. Let j(h) be the first derivative of s(h). Factor j(t).\nAnswer: (t - 2)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6500 - -17117?\nAnswer: 25617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 2 + 14*y + 6*y**3 + 7*y**3.\nAnswer: 20*y**3 + 14*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10. Suppose -292*l + 307*l = 60. Solve l*m - 8*m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -2531111?\nAnswer: 2531110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1995916512.\nAnswer: 2, 3, 20790797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + 3*m)*(4*m - 3*m - 4*m) + (-4 - 2*m + 4)*(m + 2*m - 2*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 + 379*t + 245. List the prime factors of j(68).\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 - 47. What is the remainder when c is divided by (-275)\/(-15)*((-270)\/25)\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*c**2 - 215*c + 75.\nAnswer: 5*(c - 1)*(28*c - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6135, 0.029358, 1\/4?\nAnswer: 0.029358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/15)\/(13\/(-234)))\/((-18)\/36).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2602339 (base 10) in base 9?\nAnswer: -4805657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 3*s + 3. Let q be z(-1). Suppose 0 = -n + q*w + 23, 5*n - 4*w - 58 - 25 = 0. Solve -3*u = 4*r - r + n, -2*r = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297570703 divided by -17504159\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*c - z, 3*z - 2 = -3*c + 1. Solve 3*h - 1 = m, h + 3*h = c*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20302780 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/24 - g**3\/3 + g**2. Let s be x(0). Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561\/13 - (-2)\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 6*y + 413 = 0. Let w = y + -60. Let x(c) = -c**2 + 10*c + 8. Let k be x(11). What is the nearest to w in -0.5, 0.4, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 162.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 f, and 1 s when three letters picked without replacement from {a: 3, c: 3, s: 3, m: 2, f: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l + 21475 - 7153 - 7109 - 7162 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 49*a - 708. Calculate l(13).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190377)\/(-14102))\/(83 + -2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/494)\/(1*9\/(-12))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmomommmmmmmommoom. What is prob of sequence mmom?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 102486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 6*g**2 + 2*g + 7. Calculate m(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 16*v**2 - 440*v + 12. What is the least common multiple of 50 and z(-12)?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 + s**2 - s + 1. Let q be j(1). Let y be (q + 0)\/(3\/(-6)). Solve 4*m = 4*a + 4, 4*m - 14 = 2*a - y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29824 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -54935712.7 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -132*b + 27042. Calculate t(198).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 17065?\nAnswer: 580210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + ((-408)\/(-20))\/((-6)\/(-20)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyyyjjjyy. Give prob of sequence yjy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 85 = -83. Let y be 28\/a - 16\/(-15). What is j in -2\/5 + y*j**3 + 2\/5*j**2 - 2\/5*j = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xhhhoshesh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92\/253)\/(7\/(7\/2)). Factor -g*r**2 - 8\/11 - 10\/11*r.\nAnswer: -2*(r + 1)*(r + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 21*q + 5*q**2 + 3 + q**3 + 2*q**2 + 15*q. Let m be g(6). What is the derivative of u**3 - 5*u**3 + 2*u**m - 4 + 3 wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y - 73*y = -22736. Calculate the remainder when 4109 is divided by y.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoyhhhyozhzyz. Give prob of sequence hhho.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19751619 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1081218 divided by -360406\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18564743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 4*u + 29*u**2 - 82*u**2 - 5*u**4 + 26*u**2 + 27*u**2 to the form b + g*u**4 + m*u**3 + n*u**2 + a*u and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-143*u - 78*u + 309*u)*(-85 + 211 - 79*u + 82*u)*(-1 + 2*u + 1) as t*u**3 + h*u**2 + c*u + r and give h.\nAnswer: 22176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*78\/(-36)*2\/(8\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:15 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1102*c - 3307*c - 10 + 1098*c + 14*c**2 + 1095*c. Let p(q) = q**2 - q - 1. Suppose 5*f + 2*l = -l + 56, 0 = -f + 5*l. Determine f*p(s) - h(s).\nAnswer: -4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.0171207.\nAnswer: -2.9828793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4727844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2.4, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 2*t, 0*t - t = 4. Let c be 3 - (4\/2)\/(h\/10). Suppose -4*i + 231 = c. Calculate the greatest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**3)\/x*x*x**(-12))\/((x*x**(-3\/16))\/x**(-1\/19)))**(-33\/5) assuming x is positive.\nAnswer: x**(149127\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*3 + (-1 - 3 - 138). Let k be ((-1)\/4)\/((-49)\/(-84)). What is the second smallest value in -2, o, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 99 = -43*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190.1 - -190. Sort 1.1, x, -2\/3, 7\/3.\nAnswer: -2\/3, x, 1.1, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s + 40. Let n be (-2)\/(-5)*s\/(-8). Does n = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176461031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 210367419 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 + 58*m - 76*m + 9*m)*(m + 4*m + m).\nAnswer: -48*m**3 - 54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15769 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52465860?\nAnswer: 2, 3, 5, 97159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -20 in decreasing order.\nAnswer: 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 6 - -17)*(-1)\/(-1). Suppose 0*o - 4*o = 2*m - 16, -m - c = -3*o. Suppose o*q - 3*q - 68 = 0. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35464 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and 19250.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*b + 186*b + 763*b - 21266 = -1062*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42007 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*b + 75*b**2 - 113*b + 406*b - 172*b.\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 636624 divided by 53052\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010110110 (base 2) in base 14?\nAnswer: -ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 163 = -5*k, p + 49 = -4*k + 124. Which is smaller: p or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6 + 2*a + 2 - 3 + 0. Let g be d(5). Solve 0*i - 3*i + g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1071\/(-594))\/((-1)\/(-5787) + 0). Let m = -10431 - j. Let g = 17\/5 + -161\/40. Find the common denominator of g and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.638 <= -2918\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 285394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1737.63\nAnswer: 3475.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10 = -2*y - 3*n, 0 = -5*n. Suppose 0 = 3*i + p + 1, 5 = -5*i + y*p - 7*p. Let c be (-10)\/(-12) - 0 - 1. Sort c, -2\/13, i in ascending order.\nAnswer: c, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t - 81. Let g be k(-12). Factor 4\/5*m**2 + 3\/5*m + 0 + 1\/5*m**g.\nAnswer: m*(m + 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbt when three letters picked without replacement from {t: 2, f: 3, b: 1, c: 5, j: 7}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, t: 1, x: 6, g: 1, b: 2, d: 1}. What is prob of sequence gmt?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 66.9. Let q = -0.16 + -2.84. What is the closest to -0.11 in q, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 468*m**2 + 46*m + 126. Does 150 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1041 - 260163?\nAnswer: -256122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {m: 2, w: 2, f: 2, h: 1, d: 4, l: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*c - 28, 4*c + c + 35 = 3*s. Let p be (1\/4*8)\/(2\/s). Let m be 9\/6*16\/12. Solve 0 = -m*d - p*w - 14, 6*d - d - w = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 372 = -31. Solve 5*m - 3*z = -z - q, 2 = -m - z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i - i**2 + 27 + 2*i**2 - 14*i + 12*i. Let f be b(-6). Solve -3*r - f = -0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(5*g + g**2 - 5*g) + (-2 - 3*g**2 + 0 + 2*g**2)*((0 + 1 + 0)*(-369 - 49 + 63) + (0 - 1 + 0)*(2 - 4 + 1) - 4 + 0 + 5).\nAnswer: 354*g**2 + 706","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82710, 165460, 248208, 330954?\nAnswer: 413698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427923 is divided by 870?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.761 + -6.651. Let t = 9.89 + w. Let l be 14\/(-3) + (-2)\/(-3). What is the second biggest value in t, 3, -0.2, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 9 - 5 = -f, -3*o + 4*f = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 49. Let k = z + 140. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b + 26. Let n(u) = 7*u - 3. Let x(g) = -i(g) - 5*n(g). Let d(z) = 13*z + 5. What is 5*d(c) + 2*x(c)?\nAnswer: 15*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 3*c**2 - 5*c**2)*(-c**2 + 0*c**2 - c**2) + 98*c**4 + 64*c**4 + 160*c**4.\nAnswer: 324*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 11) + -76 + 98 + -51 + 1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000099889 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 - -20. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 3*q, -2*l + 0 = 5*q - 4. Suppose -4*g + 4*b + 9716 = 0, 5*g + b - 10942 = 1215. Suppose -l*i + g = 9*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*m**4\/3 - 140*m**3\/3 + 104*m**2 + 304*m\/3 + 64\/3 = 0. What is m?\nAnswer: -4, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -70*((-6)\/14)\/((-6)\/(-21)). Let o be (-4)\/10 + (-7)\/(y\/(-6)). Solve o = 3*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5, -3*d + 2*d = 2*o + 8. What is the remainder when 3 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let d(z) = 3*z - 1. Determine d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -4, 301974 in increasing order.\nAnswer: -4, 2\/9, 301974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*d - 0*d - 20, 0 = 4*t - 3*d - 12. Let z(a) be the first derivative of a**3\/3 - a**2\/2 + 8*a - 9. Give z(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5210.2712 less than -2.1351?\nAnswer: 5208.1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1396024.\nAnswer: -1396024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/31, 0.2, -509, -1 in descending order.\nAnswer: 0.2, 3\/31, -1, -2, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 59. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 7*h**2 + 6*h + 4. Let k be n(-6). Let o be (-9)\/((-36)\/(-16)) + 6 + 0. Find w, given that -7*w**5 + o*w**3 + 5*w**5 + k*w**2 + 4*w**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 44 = 4*t, -n - t - 32 + 41 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 548139 and -156.\nAnswer: -85509684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10618050 by 10.\nAnswer: -1061805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0 + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -4 (b) 1 (c) -7\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(1 - 0))\/(-12692 + 12690)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30535 - 29447. Calculate the lowest common multiple of 56 and n.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -22991*a - 5. Let l be 7\/(-7) - 3*-1. Let s be k(l). Let x = -375987 - s. What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118078 is divided by 1205.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-300)*(-2)\/(-3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 11 - 102464*n**3 - 29.\nAnswer: -102464*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:51 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6124 and 625368?\nAnswer: 957438408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25100*b + 3*b**2 - 25016*b - 139 + 69. Give k(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 52\/(6 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 231, 780, 1841, 3582, 6171?\n\"Answer: 28*n**3 + 4*n**2 - 3*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.607 * -0.3.\nAnswer: -1.3821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 738 - 737. Which is the closest to -1? (a) -0.4 (b) g (c) -74 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.832, 0.4, -3\/4, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0108? (a) -0.5 (b) 35 (c) 5 (d) -5 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 6*s + 6. Let g be p(6). Let u(c) = 4*c - 4. Is u(g) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852885, -852883, -852881, -852879?\nAnswer: -852877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 1 (b) -3 (c) 63\/11 (d) -5 (e) 1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (4 + -8)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8386 + -8291. Which is the third biggest value? (a) 0.06 (b) -2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 2*o - 4. Let c(h) = -h**2 - h - 3. Let a(b) = 4*c(b) - 3*z(b). Find f, given that a(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1 + 2 + 2 + 2 + 2*p. Does 7 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40936 divided by 1.\nAnswer: -40936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 524778.\nAnswer: 5247780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 690 = 4*t + 4*f, 3*t = 4*f + 530. Suppose -3*m + t = -99. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2685, -3\/400, -2, -4.\nAnswer: -2685, -4, -2, -3\/400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + a + 24 = 0, -2*f + f - a = -4. Is 8 a factor of -10 + f - (-50 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-49) - (-1)\/7. Solve 0 = -5*k - 4*z + 6 + 3, 5*k - 5*z - 45 = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30302 - 30134 + 90742 - 2*j - 30306.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280598 is divided by 426741?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 32 - 14. Solve 6*t + a - 3 = 3*t, -h*t + 3 = -4*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 3*w - 6448 = 0, -4*j - w = -25753. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 35893 = p, -143560 = -4*p - 3*h + 8*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 2622, 2746, 2022, 450, -1970, -5238?\nAnswer: -9354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:00 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125589275 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -62. Calculate the remainder when 2 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3280.7 - 3281. What is the third biggest value in 1\/273, o, 2, 0.2?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084*i - 2089*i = 13*f - 20, -4*f + 2*f - 4*i + 20 = i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 1, h: 1, c: 3}. What is prob of picking 1 e, 1 h, and 1 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1032480 and 149\/2168208?\nAnswer: 21682080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/13 + 51\/52. Let w = -0.88 - -2.88. What is the closest to -2\/3 in k, w, 5\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 - 8 = m, m + 4*w - 4 = 0. Suppose m*l = -3*l. Solve -4*u = -5*j + 10, l = 2*u - 4*u - 3*j - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -11, -0.04, -3.\nAnswer: -36, -11, -3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9652028887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41\/2 + 20. Suppose 0*h = -5*h - 110. Let x be 2\/9 + h\/18. What is the nearest to x in a, -2\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 2, f: 1, k: 1, s: 1, o: 1}. Give prob of sequence fst.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0850979 days in hours?\nAnswer: 2.0423496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 1916*b = 1917*b - 17, 5*a + 17 = -4*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218.78189 seconds in days?\nAnswer: 0.014106271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110, 146, 192, 254, 338, 450, 596, 782?\n\"Answer: m**3 - m**2 + 32*m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, 5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*j - 9 = 3*j, 0 = 2*l - 4*j. Let n = -18 + 13. Let o = l - n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/((18492\/(-335))\/(-92)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*j - 30 = -166*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2097 and -67813.\nAnswer: 142203861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274 + -276. Which is the third smallest value? (a) 25 (b) f (c) 1\/6 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 642.\nAnswer: 642.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43510 = 2153*o - 2172*o. List the prime factors of o.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 b when four letters picked without replacement from bididibbidx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 248626*s**3 - s**2 + 5*s - 1. Is n(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880) - (sqrt(880) + sqrt(880)*5 + sqrt(880) - sqrt(880)))\/(sqrt(40)\/(sqrt(8) - sqrt(8)*-2) - sqrt(5) - sqrt(5)) + 5)**2*-5.\nAnswer: -8045 - 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8626106 divided by -34.\nAnswer: 253709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.94 - -2. Let r = q + 4.94. Let j = r + -10. Sort j, 0.2, -1\/5 in ascending order.\nAnswer: j, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 > 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -740, 2, -4, 5, -5751.\nAnswer: -5751, -740, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, 2*i + 5*g = -0*i - 9. Let c be i + 5\/(-25)*0. What is the closest to -2\/7 in -3\/5, c, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-400)\/(-48) - 7) + (-4)\/(-6). Determine d so that 2\/3*d**5 + 4\/3*d**w - 2\/3 - 2\/3*d**4 + 2\/3*d - 4\/3*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12091, -19, -5, 57 in descending order.\nAnswer: 12091, 57, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*b + 7*b + 3*b + 10)*((-2 - 2 + 1)*(2*b - 4*b + 0*b) + 1 - 1 + 3*b) to the form u*b**2 + j + t*b and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, 9.37, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1654 (base 10) to base 13.\nAnswer: -9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102491, -205039, -307587, -410135, -512683?\nAnswer: -615231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/5 (b) 2\/5 (c) 379 (d) 40 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Work out -71 * -4.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.6. Let t = 69.1 - 72.1. Sort -1\/7, d, t, -0.4 in descending order.\nAnswer: d, -1\/7, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/15 - 2\/15. Let r = -1.5 + 5.5. Let x = -73\/36 - -9\/4. What is the closest to s in x, -3, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35409 and 259?\nAnswer: 247863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-7 - 2 - -18) + -9)) + (-65 - -10)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**2\/2 - 2*c - 9. Let s be n(4). Solve 2*k - 14 = 4*f, -13 = -3*k + s*k + 5*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -2*s + 4*b + 91, -b = 4*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (0 - 1))*(-4)\/(-8). Let a = 40.61 + -41.51. Let h = -4.1 - -0.1. What is the nearest to o in h, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -57183396.\nAnswer: -57183400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 15\/7 (b) 19 (c) 2 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62093730 > 62093724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 863 - 37?\nAnswer: 82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -102 - 100 + 205 - y. Let a be c(-4). Solve 0 = -3*z - g + a, -5*z - 3*g = -2*g - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (69 - (-30 + 45)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 114?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786575543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13223.92 + 13478. Let j = 250 - w. Let m = -0.08 - j. Sort -0.1, 5, m in descending order.\nAnswer: 5, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ikhibbiphykbk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 0.35. Let t = 5579 - 5580. Which is the third smallest value? (a) 8 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 723 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1034*g + 872*g + 2135*g - 1099*g + 2182*g to the form z*g + r and give z.\nAnswer: 5124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 14*r + 4. Let f(t) = t. Let v(k) = 3*f(k) + o(k). Let q be v(-9). Suppose 4*g - 32 = 2*m, 0*g + 4*m + q = 2*g. Solve -g = -2*d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2768 and -0.85?\nAnswer: 2768.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -89862?\nAnswer: 3594.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 87\/27 - 115\/90. Put -0.1, v, 1 in decreasing order.\nAnswer: 1, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -2\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xux when three letters picked without replacement from uxuuuuuuxuuuu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -8) + 1 - (3 + (-16 - 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/3*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, w: 5, h: 5, r: 1, g: 4}. Give prob of picking 2 w, 1 h, and 1 r.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.419291 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**3 - 111 + 31 + 39 + 42 - 2*j**2 - j - 12*j**4 in the form o*j + v*j**4 + l*j**3 + q + a*j**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3023 or -21170\/7?\nAnswer: -3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.192 + 3.492. Let n = -291 + 287. What is the closest to f in -5, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8572610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 28309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*p - 1148*p**6 + 30*p + 243*p**2 - 1745*p**6 wrt p.\nAnswer: -347160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g**3 - 57*g**2 + 33*g - 3 = 0. What is g?\nAnswer: 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5935840 * -0.51.\nAnswer: -3027278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111\/1304 - -16591\/19560. Calculate the common denominator of h and ((-24)\/(-5) - 1)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 14 = 2*h - q, 0 = -3*h - 5*q + 21. Let t = h - 7. Suppose -5*x - 278 + 1193 = t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 1655?\nAnswer: -98\/1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 7*s**4\/4 + 10*s**3\/3 - 11*s**2\/2 + 17*s + 88. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 4*j, 4*r - 2*r = 2*j + 4. Suppose j = -x - 0*c + c, -5*x - 6 = -3*c. Let a(u) = -u**3 - 3*u**2 - u - 3. Give a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3*z**3 - 6*p**3*z + p**2*z - 3*p*z - 2*p + 57254*z**3 + 88*z wrt z.\nAnswer: -12*p**3*z + 343524*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**3*l*x + i**3*l + 6*i**3*x + 2*i**2*x + 155*i*l - 3*x wrt i?\nAnswer: 54*l*x + 6*l + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + 1 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 13) in base 6?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142882, -142879, -142874, -142867, -142858?\nAnswer: -142847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2.93, -3\/5, -0.0751?\nAnswer: -0.0751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 4. Suppose 85 + 38 - 11 = 28*k. Let p(f) = 2*f - 7. Let y = -5 + 14. Determine k*p(v) + y*j(v).\nAnswer: -v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1624*p**2 + 1366. Let d(g) = 1083*g**2 - 912. Let v(s) = -7*d(s) - 5*t(s). What is the first derivative of v(j) wrt j?\nAnswer: 1078*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 819 and 10907?\nAnswer: 687141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 268032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**2 + 0 + 5\/336*q**8 + 0*q**6 + 1\/60*q**5 + 0*q**7 + 0*q**4 + 0*q + 0*q**3. What is the third derivative of n(s) wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) - sqrt(91)*6) + sqrt(91) - sqrt(91))\/(sqrt(7) + sqrt(35)\/(sqrt(15)\/sqrt(3))).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276858 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3177843, -6355695, -9533557, -12711435, -15889335, -19067263, -22245225?\nAnswer: -25423227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4115 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -240*c**3 - 38*c**2 - 59*c + 262. Let s(x) = 90*x**3 + 14*x**2 + 22*x - 97. Calculate 7*r(f) + 19*s(f).\nAnswer: 30*f**3 + 5*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -322, -650, -970, -1276, -1562, -1822?\n\"Answer: r**3 - 2*r**2 - 329*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c83c (base 14) to base 6.\nAnswer: -1321450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -25. Let r(p) = -p**2 + p - 3. What is r(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -171*n - 1203 - 1020. Put -4, 4, 3, n, 0 in descending order.\nAnswer: 4, 3, 0, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 4*n. Let r(d) = 2*d**2 - 5*d. Suppose 31 = -8*z - 1. Let g(a) = z*r(a) + 5*y(a). Let u(c) = -4*c**2. What is u(g(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-297)\/33)\/(56\/392).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 2, z: 5}. What is prob of sequence lz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 2. Let d(c) = c**2 + 13*c - 13. Is d(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-43)\/(-172))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*w + 10 = 0, 3*w - w + 8 = y. Let u = y + -3. Suppose -j = -2 + u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o**2 + 40*o - 6. Let n(l) = 9*l**2 + 40*l - 5. Determine -3*a(b) + 4*n(b).\nAnswer: -9*b**2 + 40*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*j**3*n - 24*j**3 + 722*j**2 + 8*j*n - 10*j - 89*n - 3 wrt j?\nAnswer: 132*j*n - 144*j + 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4256 by 2128.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0214 and 1.436.\nAnswer: 0.0307304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -927, -1717, -2555, -3441?\n\"Answer: -24*z**2 - 718*z - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 403439122 a multiple of 4826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/9 + 208*b**4\/9 - 23320*b**3\/9 - 269664*b**2 = 0. Calculate b.\nAnswer: -106, 0, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -32?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 338 = 2*z, -5*y + 5*z - 422 = 7*z. Let s be (-6)\/((y\/(-16))\/(-7)). Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -6\/13, -439, 35?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/6 + 250*j**3\/9 + 3712*j**2\/3 - 8192*j + 2341. Factor x(z).\nAnswer: 2*(z - 3)*(z + 64)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1342 and 1342 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/360 - b**5\/60 - b**4\/24 + b**3\/6 - b**2. Let y(q) be the first derivative of d(q). Factor y(v).\nAnswer: -(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.062, 11, 0.5, 2\/5?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22974 * -1.\nAnswer: 22974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n + 1\/360*n**6 + 1\/6*n**3 + 0*n**2 + 5\/24*n**4 - 1\/30*n**5 + 0. Let o(p) be the second derivative of y(p). What is o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2705 by -3.\nAnswer: 2705\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + d**2 + 4*d + 1. Let h(j) = -645*j**3 + j**2 + 4*j - 1084. Let u(i) = -h(i) + x(i). Differentiate u(g) wrt g.\nAnswer: 1944*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/3 (c) 14.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5622291 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3809*l**2*m**6 - 8*l**2*m**4 - 18*l**2 - 339*m**2 wrt m?\nAnswer: 457080*l**2*m**3 - 192*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708857935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -213 + 212 - 4*d + 3*d as y*d + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/56 and -9\/1256.\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-44)*16\/6. Let v = -120025.3 + 120025. What is the third smallest value in -2\/9, -1\/3, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-566)\/(-612). Let u = x - -11\/17. Let q = 2 + -2. Do q and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8*v - 9*v = 21, 3*r - v = -15 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 27 = -3*d, 5*u = -5*d - 45. Let g = d + 10. What is the highest common divisor of g and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2209982*a**5 + 3679*a + 57 wrt a.\nAnswer: -44199640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 107177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - -15. Let t = w + 41. Let m = t - 85.0000356. What is m rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12213?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + 635. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/80 and 67\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 - -174. Suppose 0*d - 24 = -m + 3*d, 4*d - 4 = q. What is the smallest common multiple of 6 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198797 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -8 + 33 + -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -593, -933, -1033, -893, -513?\n\"Answer: 120*d**2 - 700*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let i(f) = 9*f - 4. Calculate i(b) - 6*w(b).\nAnswer: 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11)*z*z**(-2\/31))\/(z\/z**(-7)*z\/z**(7\/5)) assuming z is positive.\nAnswer: z**(-11518\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0*j + 38\/25*j**5 - 339*j**2 + 1444\/5*j**4 + 0 + 1\/300*j**6 + 438976\/15*j**3. Factor o(l).\nAnswer: 2*(l + 76)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o. Suppose 4*x - 3*h - 387 = 0, -224*x - 284 = -227*x - 4*h. Suppose 10*u - x = -38*u. What is the third biggest value in o, u, 0.1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36368, -156762, -357414, -638318, -999468, -1440858?\nAnswer: -1962482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 1266, 2466, 4050, 6024?\nAnswer: 8394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.18, 21, 2\/287?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-60))\/((-7)\/140*1155\/(-22)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*(-i - 2 + 2)*(-2*i**3 + 0*i + 0*i).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84058 and 720044?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280.8 - 276. Let d = 0.74 + 0.06. Let w = t - d. What is the second biggest value in 2\/9, w, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.121.\nAnswer: 0.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 8*(-156)\/(-96)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = -y + 2*c, y = 3*c - 17. What is the hundreds digit of (255 - (-48)\/y)*(-8)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4660*v**2 + 13869*v**2 + 6 - 84*v - 7115*v**2 wrt v.\nAnswer: 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o + 3. Let k = -16 - -11. List the prime factors of x(k).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 2255926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41647538 is divided by 66636?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*h**2 - 179*h**2 - 348*h**2 + 734*h**2 - 105*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 4)\/(1\/(-1)). Let s = -1 + r. Let x = 7 - s. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 1. Suppose -6 - 4 = -2*x. Let l be v(x). Suppose 18 = -l*f + 218. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 69*o**2 - 354*o + 288.\nAnswer: -3*(o - 16)*(o - 6)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14895 + 3*x**2 - 14895.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -8, 6, 26, 52, 84?\n\"Answer: 3*a**2 - a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-84) + (-14775)\/315. Let c = -13 - p. What is the least common multiple of 80 and c?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -2, -3, 0, 17 in descending order.\nAnswer: 74, 17, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 3*g + 2*g - g - g**2 + 2. Let d(u) = u**3 - 3*u**2 - u + 3. Let l be d(2). Is a(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -11. Let l = q + 5. Let f = 8 + 0. Calculate the smallest common multiple of l and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210054829 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15326 and 66736?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -653*n**3\/3 - 186*n**2 - 661. What is the second derivative of x(c) wrt c?\nAnswer: -1306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23835 times 3\nAnswer: 71505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*c**2*r**4 + c**2*r**3 + 5*c**2*r**2 - c*r**4 - 4*c*r**2 - r**2 wrt r?\nAnswer: -7464*c**2*r + 6*c**2 - 24*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870528.6 milligrams to kilograms.\nAnswer: 0.8705286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5175 (base 12) to base 16.\nAnswer: 22a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 1\/24*v**4 - 1\/18*v**5 + 0*v + 1\/30*v**6 - 1\/105*v**7 + 0*v**3 + 1\/1008*v**8 - 29*v**2 + 0. Factor s(b).\nAnswer: b*(b - 3)*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i + 2. Let b(t) = 211*t - 13. Calculate -b(y) - 5*j(y).\nAnswer: -181*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 14 = -3*z, 2*r = -z - r + 2. Let l = z - -35. Let i(q) = -51*q + 33*q + l*q. Let t(d) = 2*d. Calculate t(i(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -29. Find the common denominator of 63\/2 and ((-78)\/(-195))\/((-9)\/n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 734 + -194. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 496 - -468. Let t = -355 + o. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 8 - 28. Suppose -6*g = -4*g + x. Let s(l) = -1006*l - 9. Is s(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -50. Calculate the highest common factor of 585 and o.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*d + g, -4*d - 53810*g + 53803*g - 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17314999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.18 or -1?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 233. Let q = y + 78. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vet when three letters picked without replacement from vtevt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 1. Let x(g) = 5*g - 2. Let u(o) = -2*m(o) + x(o). Let s(t) = 2*t**2 + 6*t - 1. Give -s(c) + 6*u(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9615 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 k when three letters picked without replacement from {k: 5, o: 3, a: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -15.4. Let q = c + -7.6. Let t = q - -16.8. Round t to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 2) + (11 - 20) + -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**3 + 4*w**2 + 4*w - 4. Let c(q) = -8*q**3 - 5*q**2 - 5*q + 5. Suppose 4*a = -0*a + 3*g + 28, 4*a - g = 20. Give a*c(s) + 5*y(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 3\/19, -702.9, -2 in ascending order.\nAnswer: -702.9, -5, -2, -0.4, 3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8846*w - 119 = 8852*w + 5*r, 0 = -2*w + r + 27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (5 + (5 - 9) + -36 - 5).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445 and 379985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 6 = 3*f. Let h(n) be the third derivative of -n**6\/120 + n**5\/30 - n**4\/6 + n**3\/2 - 3*n**2. Calculate h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -266 + 265.998. Let g = 0.49 - 0.4931. Let v = g - d. Round v to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-700)\/399*8 + 14. Let y = 2 + -2. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 335 = 1450. Suppose -y + p = 4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 411 * 0.18.\nAnswer: 73.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 m when four letters picked without replacement from mrmrrrr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.82 + -63.58. Let d = -37.5 - c. Round d to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {o: 4, q: 3, m: 11}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4479.\nAnswer: 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 at least 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1\/24*u**4 + 0 + 0*u**3 + 1\/120*u**6 + 0*u**5 - 9*u - 7\/2*u**2. Let l(m) be the first derivative of q(m). Factor l(b).\nAnswer: b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10724529 at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.07, 0.14, -3, 0.2 in decreasing order.\nAnswer: 0.2, 0.14, -0.07, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -29*v + 26. Let k be q(1). Which is the third biggest value? (a) -4 (b) k (c) -7\/19 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.184472ml?\nAnswer: 0.001184472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 19. Let i = -17 - x. Calculate the remainder when 24\/(0 - 6\/(-4)) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.415058392 to four dps.\nAnswer: -0.4151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2038*t - 26398. Calculate p(-13).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -627 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 449195?\nAnswer: -449184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*1*(-464)\/(-1160)*-15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 2*n - 11. Let h = 64 - 34. Suppose -h = b + 4*b. Let l(t) = -t**2 + t - 6. Let k = -6 + 17. Determine b*j(m) + k*l(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2876, 2881, 2888, 2897, 2908, 2921, 2936?\nAnswer: 2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 12:18 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/28, -8, -0.692, 4.\nAnswer: -8, -0.692, 1\/28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 - 35*l**3 - 29*l**2 + 167*l - 102 = 0. Calculate l.\nAnswer: -34, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/35 - -1\/5. Suppose -2*s + 4*s + 10 = 0. What is the nearest to x in 0.1, s, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -790141 - -35761\nAnswer: -754380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3869 and 636.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 25. Suppose -k*o - 6*o + 99 = 0. Suppose -o*v = -v - 50. Solve t - 6*t = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/103763 and 76\/84897.\nAnswer: 933867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (5 - (13 + 7)). Suppose -p = -5*k - 0. Solve -4*j = -k - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (29 + -35) - (9 + -2 + 2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13534136 divided by 33?\nAnswer: 1230376\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 55*g**2 + 63*g + 332. Calculate z(-54).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3535 in 2\/5, -0.02, -97, 0.2?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 11538\/30 + 5. Let c = -390 + j. Find the common denominator of c and -31\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*v - 3*v + 0*v)*(0 + 3 - 2) - 4*v + 4*v + v - 4*v + 3*v - 9*v + 0*v + 3*v - 5*v)*(7*v**3 - 3*v**3 - 3*v**3).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q. Suppose 3*p + q*p - 18 = 0. Find the third derivative of 5*x**6 - 8*x**2 + 0*x**6 - x**p wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5054 - -5058. What is the third biggest value in 4\/3, z, 4\/7, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*g**4 - 1709*g**3 - g**2 + 2*g + 837619 wrt g.\nAnswer: 576*g**2 - 10254*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 35 = -3. Let q = x + -19. Sort 37, q, -1.\nAnswer: -1, q, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + a + 3 = 0, 5*a + 0*a - 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3 - j**2 - j - 5. Let i be w(-5). Let n = i + -1805. What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 92 + 3*z**2 - z**2 - 94 as s + w*z**2 + y*z and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*k + 359*k - 677*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18293161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 250*a**3 - a. Let b be p(1). Let s = b + 132. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383*g**2 - 414*g wrt g.\nAnswer: -766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 0. Let g be ((-22)\/4 - h)*-12. Suppose 0*r = 2*r - 88. Calculate the greatest common factor of g and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 3. Let o(n) = -n**3 - 3*n + 3. Let w be o(2). Let a be c(w). Calculate the common denominator of 95\/2 and (a\/(-42))\/((-16)\/(-360)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -21, -12, -8, 13, 4, 5 in decreasing order.\nAnswer: 13, 5, 4, 1, -8, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 5) + (-4 - (-85)\/(-25)). Let k = n + 731\/65. Let i = -0.08 - 0.22. What is the third biggest value in -3\/7, k, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.5 or -8784\/17?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -2\/3 (c) 637755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 2.63382.\nAnswer: 2.73382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -4*g**3\/21 + 2*g**2\/7 + 8*g\/7 - 3. Factor s(i).\nAnswer: -4*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5 + 18 - 4*l - 4 - 11. Let h(d) = 4*d**2. Let p(i) = -5*i**2. Let g(a) = 4*h(a) + 3*p(a). What is g(u(k))?\nAnswer: 16*k**2 + 16*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 193*v - 384. Let l be j(2). Solve l*i + 12 = 5*a - 3*a, -4*a + 3 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3438 + 486. Is f a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46334 - 88?\nAnswer: -46433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007376 rounded to 6 decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 5:37 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 + 2*w**3 + 5*w**2\/2 + 11*w - 112. Let j be z(-5). Calculate the greatest common divisor of 174 and j.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37663148?\nAnswer: 2, 971, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -25*v + 17. Let d be 3 + -2 - 12\/13. Is d less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24025*w**3 - 32754910*w**2 - 11170795020*w - 4463078760.\nAnswer: -5*(5*w + 2)*(31*w + 21126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l = 5*f - 45, 6 = f + 2*l. Suppose 2*u - f = -2*u. Suppose 4*s + 2*a - 2 = 0, -4*s - s - u*a + 4 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.5643115 + 53.5643084. Let o = t - 30. Round o to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*r + 20, -r - 4705 + 4697 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 11 (b) -2.03 (c) 617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.4, 90, 2\/3?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-38)\/v**(-11\/4) assuming v is positive.\nAnswer: v**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 9 = -74. Solve 40 = 3*q - 6*q - z*y, 3*q + 10 = y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 600 = 3*p. Suppose 2*v = v. Calculate the common denominator of -16 and v + (p\/18)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 559*c + 8028. What is t(-14)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*v, 0*v - 2*i = 2*v - 10. Solve 0 = 4*p - 16, -12 = -6*m + 2*m - v*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + t**2 + 7*t + 9. Does 10 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20010221101 (base 3) to base 10\nAnswer: -120970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/9)\/((-3)\/36). Is j at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*z = 3*c, -c = -4*z. Suppose c = -35*k + 3277 + 3758. Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17)\/(j\/(j*j**9)))\/(j*j\/(j*j**(1\/4)))**(-27) assuming j is positive.\nAnswer: j**(1997\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32208d (base 15) to base 3\nAnswer: -11111020022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*s + 2*s + 636, 330 = w - 5*s. Let j = -130 + w. Suppose -j = -3*h - 9*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 0*f**3 - 7*f**2 - f**3 - 14*f**2.\nAnswer: -f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x = w - 44*x + 66, 5*w + 66 = 3*x - 256 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -41, 22, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/15)\/((-2)\/2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -173*h**2 + 2999*h - 949. Determine m(17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygvofyyffyvr. Give prob of picking 2 v and 1 y.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3299*f - 716*f = -234217 - 49913 for f.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-30)*-3*8\/(-18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60944 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1183953\/467 or -0.1?\nAnswer: -1183953\/467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r - 100 = -174 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 10*o + 13. Let c be j(11). Is 6276\/30 + c\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -96*r + 12. Let f be l(2). Let c = -180 - f. Solve -6*a + 3*a - 12 = c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7140620 + -18?\nAnswer: 7140602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:02 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 300 and -16146?\nAnswer: -4843800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 5082\/(-63). Let z = 124 - u. What is the remainder when z is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732277, 732303, 732379, 732529, 732777, 733147, 733663, 734349?\nAnswer: 735229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -56, -1, 2, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26652 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 + 119 - (-8 - (-2 + 6 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47126?\nAnswer: 2, 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1262?\nAnswer: 11358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -121. Let z = y - -117. Suppose -313 = -6*o - z. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -98. Let v be (-1)\/2*3\/1. Let a = -32.43 - -32.33. What is the third biggest value in a, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.3, 5560, 0, -11 in increasing order.\nAnswer: -11, 0, 0.3, 2\/3, 5560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 8, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 39, -1 in decreasing order.\nAnswer: 39, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b*b**(-2)*b)\/b))\/b)**11)**(-9))**(-9) assuming b is positive.\nAnswer: b**891","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let i(w) = -4 + 3*w**2 - w**3 - 1 + w + 1. Let m be i(3). What is c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4972 and 33\/10396.\nAnswer: 114356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13640 = -15*j + 75*j + 77*j + 83*j for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3588 = -60*g + 6168 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + x = 57987, -17*r = -18*r - x + 11603. What are the prime factors of r?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**2 - 172681*f + 86338*f + 86342*f.\nAnswer: 21*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238288 is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 26047 - 71053 = 126004. List the prime factors of v.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/3 + (-2)\/6. Suppose -1 = -i*a + 7. Solve -9 = 4*z - k + 1, 5*z + 3*k + a = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 5*p - 3. Let w be -8 - -2 - 6\/(-3). Calculate z(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -18. Suppose w - 16 = -q*w, 0 = 2*m - 5*w + 18. Let h be (9\/6)\/((-2)\/4). Sort m, h, -5.\nAnswer: -5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*(8\/800*-12)\/(2\/40).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -12*j**3 + 526*j**2 + 4234*j + 7752 = 0?\nAnswer: -4, -19\/6, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.3, 2\/9, 282\/511?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/33*(6\/10)\/((-25)\/125)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9080 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*f + 280*f = -575 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1256 and 57462.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 282546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5211 + 0?\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17298, 47850, 98770, 170058, 261714, 373738?\nAnswer: 506130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/3 - 1\/(-3). Let w(b) = 14 + 70*b + 8 - 6 - 72*b - 2. Let k be w(v). Solve -n + 7 = -q + 4*q, 4 = n + k*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + 104\/26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7*x**3 + x**3 - 5 - 9*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*m**3 - 22*m**3 - 13*m**3 - 152*m**3 + 9*m.\nAnswer: -16*m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 253, 740, 1661, 3160, 5381?\nAnswer: 8468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2616 + -2566. Calculate the remainder when 848 is divided by y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/f**9))\/f)**(4\/43) assuming f is positive.\nAnswer: f**(36\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 267. Suppose 2*i - d = 592. List the prime factors of i.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/38 - (-1792)\/(-304).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 5*y - 4*w - 38 = -8*y - 220, 4*w - 35987 = -387*y for y.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6005*754.\nAnswer: -452.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - 42*f + 95*f**2 - 12 + 148*f + 178*f wrt f?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 v when four letters picked without replacement from {x: 2, o: 6, j: 3, v: 5, s: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -134414302 (base 6) in base 16?\nAnswer: -29ccde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:07 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14\/v**(-13))**30 assuming v is positive.\nAnswer: v**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 24 - -10 - -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + w - 2. Give l(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - 103 - (-17 + -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 26*j**3 + 2 + 15*j**3 - 2*j + 0*j**3 - 6*j**4 to q*j**2 + t*j**4 + k*j + c + r*j**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d, 4*j - 33 = -2*d + d. Let u = -2 + 4. Suppose -3*z = -z - 3*q + 4, -3*z + 20 = u*q. Solve -3*g = z*k - j, 3*g + 3*k + 2*k - 11 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -203, -202, -201, -200, -199?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 6, a: 11}. Give prob of sequence ahq.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(384)\/sqrt(8) - sqrt(48)) - sqrt(1200)*1)**2.\nAnswer: 80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3 + 2 + o + 5*o**3 - 2*o**3. Let r be x(1). Find the first derivative of k**r + 0*k**3 - 2*k**3 - 2 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28025.\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 102.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*b + 26. Suppose b = -h + 35. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2891 and -113450065618.\nAnswer: -113450062727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.080697 millilitres?\nAnswer: 0.000080697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -5. Let y = f - -3. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 172 - 248 = -8*o. What is the greatest common divisor of o and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*m - 44 = 141*m - 3*v, 0 = -20*v + 12*v + 104 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1094*k**3 - k**2 + 97 wrt k?\nAnswer: 6564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - (-23)\/11)\/(6\/(-258)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 2 - 10 + 0 - 10 to u*h + x and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 205655980.\nAnswer: 3\/205655980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74, 102, 130, 158?\n\"Answer: 28*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -457?\nAnswer: -45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-13 - -4 - -4) + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -598*j + 4*j**3 + 143001*j**2 - 71501*j**2 - 71502*j**2 - j**4 to z*j + u*j**2 + q*j**4 + t + x*j**3 and give z.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzn when three letters picked without replacement from zbbllzzzllblnzlgzzzb.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/15 - (-7)\/5. Let f = -7 - -20. What is the remainder when (0 - -1)\/(m\/25) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243 - -219)*(-8)\/(-6))\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j + 426 - 426)*(2*j - j - 2*j + (3 - 2 - 3)*(-4*j + 3*j + 0*j)) + 6 - 4*j**2 - 6 in the form y*j**2 + o*j + h and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -861, -1776, -2689, -3600, -4509, -5416, -6321?\n\"Answer: s**2 - 918*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9172 * 1.\nAnswer: -0.9172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 + 86. Let h(m) = 4*m**2 - 3*m. Let s be h(w). Let x = s + -66. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32840*j**3 - 11*j**2 - 11599451*j wrt j?\nAnswer: 197040*j - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 5.08. Let n = -0.2 + -3.8. Which is the closest to -1? (a) 2\/9 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10 - ((-68)\/90 - -1).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1629216099 by -7.\nAnswer: 232745157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 158*m - 4898. Calculate p(31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760008?\nAnswer: 2, 3, 31667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*h - 2*h = -12, 9 = -i + 3*h. Let c be (-4 + i - -3) + 3. Let j(s) = -c*s + 3*s - 2*s. Calculate j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*j = -15, 10*z - 5*j = 9*z - 15. Is 4\/1597 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1187, 1184, 1169, 1136, 1079?\n\"Answer: -n**3 + 4*n + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -5\/3, 2\/5, -0.1, 1, -39, -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*s**2 + 2764*s + 424.\nAnswer: 4*(s + 53)*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)*f**14\/f)**(-10)*(f\/(f*f**(-2\/3)*f))\/(f**(5\/2)\/f)*(f**(-1\/3)\/f)\/f**6 assuming f is positive.\nAnswer: f**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2215388325 - 6832257520789\/3084. Let m = -3\/1028 + g. Calculate the common denominator of m and 4\/12*(-438)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -87?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2422 times 6\nAnswer: 1.4532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 1356 + 3642. Suppose 17*a = 24*a - k. What is the highest common factor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 - 10144*a + 5 + 10146*a + 22*a**3 to x*a**3 + q + u*a**2 + y*a and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 4*s + 61. Let j be 9*(-23)\/(-7) - (-15)\/s. Suppose 0*u - j = 5*u. Let c(d) = 2*d - 2. Let w(i) = -i + 1. Give u*c(a) - 13*w(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - 7\/(42\/(-36)). Solve v - 4*v + 15 = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/9 + 245*r**2\/3 - 1924*r - 2254460\/9.\nAnswer: (r - 65)*(r + 46)*(r + 754)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3740, 3725, 3700, 3665, 3620?\nAnswer: 3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t - 151*t + 37*t + 41*t + 40*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 833.84 + -631.4. Let r = -2.44 + l. Let y = r - 200.00449. Round y to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 213086737.008?\nAnswer: 213086736.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**2 + 4*q**2 + 7*q**3 - 4*q**2 + 2*q**3 wrt q.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00199669 to 5 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + (0 - 9 - -9) - 26?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17 - 14)\/(-3)*-47. Solve -19*u - a = -123 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*m + 531, -4*z - 4*m + 685 = m. Suppose -2*c = 3*c - z. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7105 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose 4 = -o - v*o. Let g(d) = -58*d + 1. Is g(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1140794*n**2 - 5407*n + 118 wrt n?\nAnswer: -2281588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -251*y**2 - 252*y**2 + 491*y**2 + 11*y + y**3.\nAnswer: y*(y - 11)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75522300 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 46 - 3*r - 2*r + r + 50. Let l(i) = i - 3. Determine -5*g(b) - 7*l(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 + 182 + 1963 = 306*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16 = 0, 2*d - 4*d + 5*g = 16. What is the smallest common multiple of (d - -16) + 1*11 and 57?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7686000 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/8 - 12198*x = 0 for x.\nAnswer: -32528, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 1. Let m be l(8). Solve -5*a + f = m, -f - 2*f + 23 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3479 - 4?\nAnswer: 3475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 3. Let r(v) be the first derivative of -5*v**2\/2 - 6*v - 4508. Determine 7*m(j) + 3*r(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32873 - -10734. Let i = 22146.0004 + v. Let y = i - 7. What is y rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d51 (base 15) to base 5\nAnswer: -44001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1033.\nAnswer: -1\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y**4\/3 + 50*y**3\/3 + 38*y**2 - 176*y\/3 + 40\/3 = 0. Calculate y.\nAnswer: -2, 2\/7, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37143 is divided by 826?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404305188?\nAnswer: 2, 3, 7, 1259, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, 2, -13 in decreasing order.\nAnswer: 264, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 92. Let p = -22 + 27. Let c(v) = v**2 - 3*v - 9. Let i be c(4). Sort m, i, -1, p.\nAnswer: i, -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l - 43776 = 135*l. What is the second smallest value in 1, -11, l?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1263999 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 420 = 3*q. Suppose q = 7*r - 4*r. What is the greatest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -13556?\nAnswer: -13615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/12 (b) -3 (c) -2\/2709 (d) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/19, 0, -289, -673, 0.1 in increasing order.\nAnswer: -673, -289, -6\/19, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 66930.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59301283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5226462 and 162.\nAnswer: 47038158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b + 24*b + 6*q - 117108, 3*q - 23418 = -b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-15) - ((-1223)\/3 - 3).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6536038ml in litres?\nAnswer: 0.0006536038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/7 > 326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.5. Let a = 4.63 - 4.33. Suppose 1 + 3 = 4*d, -3*b - 1 = 2*d. What is the nearest to b in -0.4, a, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (12 + 2\/(-1)). What are the prime factors of 28\/21*(-114)\/h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 - 8 - 1. Let f be (j*10 + -3)\/(-1). Suppose -4*a - 31 = -2*q + f, q = -5*a + 38. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79977844 rounded to the nearest one million?\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4 - 2. Let q(j) = j**3 - 2*j**2 + 5*j - 3. Let x(m) be the first derivative of m**4\/4 - m**3\/3 + 3*m**2\/2 - 2*m + 344. Give y*q(s) + 5*x(s).\nAnswer: 2*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-11\/4)\/c)\/((c\/c**(-2\/95))\/c*c) assuming c is positive.\nAnswer: c**(-1433\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15439914 and 6495?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(88)*-1)\/(2*sqrt(1152)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -30. Suppose -3*h - 10 = -5*v, -3*h - h + v = 2. Let t be (i\/(-12))\/(1 - h). Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -102. Let f be (-2)\/c - 19\/57. Solve -12 = 2*u - 6*u - 2*z, f = -4*u - 3*z + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 8) to base 11.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 2*q - 7*q - 27*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17940228, -2 in increasing order.\nAnswer: -17940228, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1974 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(9\/(-3) - -1). Suppose g = 3, y = z - 4*g + 7*g - 9. Let f = z - -4. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10348 or -672588\/65?\nAnswer: -672588\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1135 - -21064?\nAnswer: 17727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44099*d**2 + 16 + 45547*d**2 - 16.\nAnswer: 1448*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 86496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 44*d**2 + 1051*d. Let x(l) = -17*l**2 - 351*l. Determine -3*r(s) - 8*x(s).\nAnswer: 4*s**2 - 345*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 1014 + 638. What are the prime factors of c?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 1947.\nAnswer: 1947.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 3\/10*y**5 - 1\/6*y**3 + 7\/4*y**2 - 7\/8*y**4 - y - 3. What is m in g(m) = 0?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {r: 2, u: 1, f: 9, h: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -2824, -9686, -23048, -45076, -77936, -123794, -184816?\nAnswer: -263168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 + 105*p - 55.\nAnswer: 5*(p + 11)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + (0 + -5 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422770836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012696.\nAnswer: 2, 7, 127, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m - 8956. Let q(u) = -4*u. What is q(z(w))?\nAnswer: -44*w + 35824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005413170 to the power of 1\/3, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**3 - 1 + 0*b**3 + b**3 + b - 4*b**3 + b**2. Let f be j(1). Factor -9\/2*o**2 - 1\/2*o**f - 5\/2*o**3 - 7\/2*o - 1.\nAnswer: -(o + 1)**3*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 3*t**2 + 4*t**2 + (2 - 2 + 2*t)*(3*t - 2*t + t) + 3 + 2*t**2 - 3 + 0*t**2 - t**2 - t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 507*y + 411*y + 27*y to the form b*y + d and give b.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/(120\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/(-25)*(-1915)\/(-2298).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045759 to the power of 1\/2, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -915 divided by 915.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -180329.89072962 + 3?\nAnswer: -180326.89072962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -29*t + 248. Let n = -5 + 15. What is the lowest common multiple of z(8) and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.452093667 rounded to 4 decimal places?\nAnswer: 0.4521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425447556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13575.81 months to years.\nAnswer: 1131.3175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 12*u**2 + 16*u - 11. What is o(-8)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 695431 <= 695426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*g**2 + 99.\nAnswer: -240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from kkkkskkpkpskkskkpkks.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3556?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 245. What is the remainder when t(33) is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:10 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + b)*(b - 2*b**4 - b - 5*b).\nAnswer: -4*b**5 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 55. Let o be y\/2*(-13 - -9). Is (87\/4)\/((-12)\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*-1*28\/((-14)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 8. Solve 0 = 3*i - c*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 365 - 357. Suppose -p = -t + 2*w, -4 = -2*t - w + 2. Solve -i + v = -2*i + 3, 0 = -t*i + 5*v - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 3, 0.17 in descending order.\nAnswer: 3, 0.17, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.116154*0.048.\nAnswer: -0.005575392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/60 + 19*z**4\/24 + 19*z**2 + 2*z. Let c(f) = f. What is y(c(i))?\nAnswer: i**2 + 19*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 84 + 1196. Calculate the remainder when 119 is divided by (6 - a\/56) + (-54)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*r - 80, 2*h = 4*r - 17 + 55. Let i be 5\/(5\/14) - 0. Let v = r + i. Solve v*c - 18 = -2*b - c, 4*b = -4*c + 28 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5290 by 5290.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -76*p - 17. Suppose 4*s - 5*o + 4 = -0*s, 12 = -s + 4*o. Let x(h) = 152*h + 33. Let z(u) = s*x(u) + 7*a(u). Is z(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -49. Suppose 12 = a*h - 0*h. What is the third derivative of 0*y**3 - y**3 + 6*y**h - 3*y**2 + 3*y**2 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) 3 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -31?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6060, 49251, 166452, 394659, 770868, 1332075?\nAnswer: 2115276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5445.267 tonnes to micrograms.\nAnswer: 5445267000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*v + 83 + 76 - 158 + 240*v**4 wrt v.\nAnswer: 2880*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73494166579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-14)\/20*(-100)\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 38*g - 97. Calculate h(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a - 9. Let h(q) = 26*q - 18. Let n(c) = -12*c + 7. Let f(v) = 3*h(v) + 7*n(v). Calculate 3*b(l) - 5*f(l).\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from {r: 2, l: 1, q: 14, p: 2}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, w: 2, z: 7, s: 1, t: 1}. Give prob of sequence zse.\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 66*t - 32. Determine y(32).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 538153, 538180, 538241, 538348, 538513, 538748?\n\"Answer: 2*h**3 + 5*h**2 - 2*h + 538148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.088 less than 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 57. Suppose f - 51 = -q*f. What is the greatest common divisor of 34 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168.9081 rounded to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - k**2 + 3 + (k + 0 + 0)*(-2*k - k + 2*k) - k**2 + 5 - 5 - 214*k + 103*k - 4*k**2 + 111*k to the form d*k + n + z*k**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/9 - 26\/117. Let i be (-4)\/2 - (-9 + t). Suppose -123 = i*f - 4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 38*k**2 + 58*k - 33. Let u be x(-36). Let z = u + -417. What is the greatest common factor of 27 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564246 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (15 + -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 3, g: 5}. Give prob of sequence gg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 7*p**2 - 3*p - 1. Let h be l(-7). Suppose 3*z = -z + h. Solve z*r - r = -5*f + 18, 2*r = -5*f + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3396602.\nAnswer: 2, 11, 61, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -23*g**3 + 6*g**2 - 20*g - 17. Let o(j) = -8*j**3 + 2*j**2 - 7*j - 6. Suppose -5*u - 180 - 10 = 0. Let n be (-2)\/4*u + -2. Determine n*o(w) - 6*h(w).\nAnswer: 2*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 24.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 2. Let j(m) = -18*m + 935. Give 7*f(g) + j(g).\nAnswer: 3*g + 949","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4418, -4\/11, 8?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 20. Calculate the remainder when 11 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/13 + -10\/39. Let f = 28.3 + -35. Let m = f + 7. What is the nearest to c in m, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-4)\/sqrt(2) + (sqrt(44)*3)**2.\nAnswer: -4*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -702 - -695.98. Let c = a - -5.72. Put 16, c, -19 in decreasing order.\nAnswer: 16, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 314400?\nAnswer: 314375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39767 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a millennium in centuries?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 - (-5 - 8154\/(-1236)). Let u = 17\/1236 + w. What is the common denominator of u and 83\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.6 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2488039044.\nAnswer: 2, 3, 31, 479, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**11*v*v**(2\/5)*v**(-30)*v\/v**(-2\/75) assuming v is positive.\nAnswer: v**(-1093\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3662 in -1, -0.4, -8, -4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1439284*q**5 - 963*q**2 + 406 wrt q?\nAnswer: 86357040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10412 - 10355) + (-72 - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.1 (c) 6 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(572\/16)*(-44)\/24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2896619.6 take away -0.1?\nAnswer: -2896619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207875518.\nAnswer: 2, 23, 1229, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2783 by -1.\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (138\/(-184))\/(426\/(-16)). Suppose -31*p = -39*p + 8. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3424*u - 666 wrt u?\nAnswer: -3424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 7781.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1506, 6019, 13542, 24075, 37618, 54171?\nAnswer: 73734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 + 3*q**3 - q**2 + q**2 - 2*q**2 in the form z + o*q + a*q**4 + i*q**2 + v*q**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psspkk. Give prob of sequence ks.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*b - 3*x, 2*x + 0 = -b - 3. Suppose b*k - 158 = -m, 2*k - 56 = -3*m - m. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704) + -1))**2 + (-5*sqrt(704)*2)**2 + -1 + ((0 + (sqrt(704)*1 - sqrt(704)) - sqrt(704))**2 + sqrt(704) - ((-3*sqrt(704))**2 + 3)).\nAnswer: -136*sqrt(11) + 71109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, 6, 50, 112, 192, 290?\n\"Answer: 9*x**2 - x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1*(1 - 0)). Let g be (-34)\/17*(-2)\/((-52)\/(-1409)). Let u = g + -109. Is u <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 minus 423.3370062?\nAnswer: -423.5670062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*o**2 + 4*o - 91?\nAnswer: 54*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-16))\/(((-18)\/(-54))\/(3\/9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9908 and 2?\nAnswer: 9908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1871 - 681 = 0. Let p = x + 5. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(80) + sqrt(80) + sqrt(80))*4 + -6*-2*sqrt(80) + 2)**2 - (-5 + ((sqrt(80) - (sqrt(80) - (sqrt(80)*-2 + -1)))**2 - ((1 + sqrt(80))*4)**2)).\nAnswer: 1264*sqrt(5) + 47096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.035 (c) -274\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 8*t**2 + 2*t - 5. Let l be m(-9). Let o = l - 40. Let r = o - 9. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 17. Does 6 divide j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -k - 7, -16 = -4*u. Let p be 25\/10 - k\/2*1. Suppose 5*w - 2*t = -4*t - 4, 0 = -3*w - 2*t - 4. Sort -4, -1, p, w in descending order.\nAnswer: p, w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82930 divided by -5\nAnswer: 16586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - ((-2 - -4) + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -61 - -19 - ((-2 - -1) + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 74719.62 decades?\nAnswer: 747196.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4258 or 503\/11?\nAnswer: -4258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2 + -19 + 2. Let o(q) = 2*q**3 - 6*q**2 + 4*q + 4. Let w be o(4). Let h = t + w. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4432 = -d - q, -57*d + 60*d = 4*q + 13303. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1567 - 1562. What is the nearest to -0.008 in -2\/5, l, -3, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 162040, 161458, 160488, 159130, 157384, 155250?\n\"Answer: -194*p**2 + 162234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - 4*g + 9*g**3 - 5*g**3 + 4*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 5*n**2 - 4 + n**2 - n - 3*n - 4*n**3. Calculate l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -460, -917, -1376, -1837, -2300, -2765?\n\"Answer: -r**2 - 454*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - b - 6 - 4*b**2 + 0*b**2 - 4*b + b**3. Calculate g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 1. What is i(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162326 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-12)\/(-210)*3\/2. Put -2\/95, 2, 5, q in decreasing order.\nAnswer: 5, 2, q, -2\/95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 246. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 11) to base 16\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6304, 12448, 18572, 24670, 30736, 36764, 42748?\n\"Answer: -a**3 - 4*a**2 + 6163*a + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324071202 divided by 78.\nAnswer: -4154759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:57 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/189)\/((-10)\/(-7)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.237 + -1.248. What is z rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**3 - 416*v**2 - 1738*v - 1724. Let m(q) = -11*q**3 + 414*q**2 + 1737*q + 1706. Let b(i) = -2*m(i) - 3*u(i). Determine x, given that b(x) = 0.\nAnswer: -2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z + 5*f, f + 2*f + 5 = -5*z. Suppose -16 = 2*r + 5*w, 0 = -4*r + r - 3*w - 42. Let i be 112\/(-315) + (-4)\/r. Does i = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x = -4*u + 209, -453*x + 459*x = 3*u - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 392*b**4 + 2262*b - 1020. Differentiate u(l) with respect to l.\nAnswer: 4704*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 123, 1, 0.34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 3296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23693 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6*k - 177 = 3*k, -2*w + 5*k + 69 = 0. Let b = w + -36. What is the highest common divisor of 24 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 465*h - 6454. Calculate t(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + -1 + 4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 9*z - 8. Let j be (18\/15)\/(3\/20). Let i be u(j). Suppose 2*h = i, 2 = m - 0*h + 2*h. Which is bigger: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:35 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3533*q - q**3 + 3535*q - 7067*q + 7*q**2 - 10 + 3*q**2 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - m = -14, 2*b - 3*m - 2 = -0. Suppose -5*z + 4*z + b = 0. Suppose -8 = -5*c + 7*g - 4*g, -2*c + z*g = 8. Solve 0*x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-217)\/651?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + g)*(-3*g - 2 + 2 + (0 - 3 + 1)*(0*g + 2*g - 4*g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 19*b = -20, 16 = 4*q + 4*b. Suppose q = -26*g + 9*g + 103513. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**4 + 45*d**3 - 3*d. Let h(v) = v**4 - v. Let s(f) = a(f) - 3*h(f). Factor s(i).\nAnswer: -5*i**3*(i - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 7*g + 21. Let a = 101 - 94. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 3*g - 104, 6902*g + 10 = 6907*g for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321388 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 34 = 2*u, o - 3 = -u + 8. Let y(s) be the second derivative of -s**3\/6 - s**2 - 2*s - 19. Determine y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7691489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:01 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 19) + (90 - 100) + 0 + 10\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6.92. Let r = -0.0800012 - l. What is r rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -29*f**2 + 17*f. Suppose 0 = -14*y + 3*y + 22. Suppose 4 = -2*m + 4*m. Let u(h) = -15*h - 7*h**m + 2*h**y + 18*h. Give -6*j(w) + 34*u(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -76.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 3, -8, 16\/7 in increasing order.\nAnswer: -10, -8, -2, 16\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 0. Let c = -2.2 - -2. Let j = 56 - 61. What is the closest to c in o, j, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7942423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14268812\/1721 + 8291. Let p = 79163\/5163 - q. Calculate the common denominator of p and ((-26)\/4 + 1)\/(396\/(-264)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 - 67635*l**2 = 0. What is l?\nAnswer: -22545, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwzuu. What is prob of sequence uwvu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481353?\nAnswer: 3, 281, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q - 8*q**3)*((1 - 1 - 2*q**2)*(-5 + 1 - 4) + 3*q**2 - 2*q**2 - 3*q**2).\nAnswer: -112*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*i + 143*i - 2 - 80*i)*(-3 + 3 + 3*i) to the form l + f*i**2 + v*i and give f.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i + 1. Let q(l) = -l**2 + l + 1. Let u(w) = -2*w**2 + 4*w - 4. Let o(t) = q(t) - u(t). Calculate the lowest common multiple of o(i) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 23104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2838632646 to the nearest integer?\nAnswer: 53279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5028 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -3*i**5\/20 - 75*i**4\/4 - 1443*i**3\/2 - 4107*i**2\/2 + 209*i. Factor z(l).\nAnswer: -3*(l + 1)*(l + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(-2 + 3). Suppose k + 1 = -g. What is the lowest common multiple of 3 and 3 - g*(-2 - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 - 2*c + 2. Suppose 5*b = 4*b - 5*u + 43, 4*b = 4*u + 196. Suppose 3*o + 48 - b = 0. Calculate j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*v**4 + 3 - 8 - 11 - 5*v**4 wrt v.\nAnswer: 116*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-421)\/((-72412)\/(-79980))*1\/(-5)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2287893400 rounded to the nearest one million?\nAnswer: -2288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3 - 3, n = -3*c - 46. Let s = 42 + n. Solve -3 - 6*z**3 + 3*z**2 + 3*z - s*z**3 + 5*z**3 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 15369*q**2 + 30747*q + 15375.\nAnswer: -3*(q - 5125)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5058 - -7509. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158124193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**2 + 4*f - 9. Let x be -10 + 15 + -2*(0 - 1). Let u(d) = -2*d**2 + d - 3. What is x*u(t) - 2*k(t)?\nAnswer: -4*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 + -134. Solve 0*n = y + 3*n - 9, -y = g*n - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 54331721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1 - 3 - 5*c + 3 + 8*c. Determine f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27574, 33615, 39656?\n\"Answer: 6041*v + 21533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 4. Suppose a + 4*y - 2 = 0, a = -y - y. Sort a, 5, b.\nAnswer: a, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8750*i**2 - 5273 with respect to i.\nAnswer: -17500*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**(-49)\/(r\/r**2)**(-9) assuming r is positive.\nAnswer: r**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106763.\nAnswer: 241, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1613850 divided by 29.\nAnswer: -55650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5028, -24, 5 in descending order.\nAnswer: 5, -24, -5028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419455 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 3*n + 61*o - 39*o, -5 = 3*n + o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 + x + 1. Let d be p(5). Suppose d = 2*w + 1. Let g be 16\/20 - 2\/w. Which is the closest to 1? (a) g (b) -4\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 14.062. Let v = -0.162 + g. Which is the closest to v? (a) -0.5 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*w - 18*w = -13*w - 2538 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/6 - 124*d**3\/3 - 244*d**2 - 1456*d\/3 - 968\/3.\nAnswer: -(d + 2)**3*(d + 242)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/77 + -6\/7. Suppose -6 = 5*z - 6*z. Let k be (-11)\/9 + z\/27. Is p smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Let m be -1*(-4)\/2*1\/(-1). Sort m, 3, q in increasing order.\nAnswer: m, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:34 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c2 - -20?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -14*p - 7. Let b(y) = 42*y + 20. What is -6*b(z) - 17*h(z)?\nAnswer: -14*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/6*(-5516)\/5. Suppose -32*s = -18*s - w. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -559*u - 69872. Give y(-125).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8328 and -33\/584.\nAnswer: 607944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(88) + 5*(sqrt(88) + (sqrt(88) - (-2*sqrt(88) + sqrt(88))) + sqrt(88)))\/(1*sqrt(1584))*6.\nAnswer: -42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3086, 6306, 9494, 12650?\nAnswer: 15774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*h = -11 - 16, h = 2*n - 3. Which is the biggest value? (a) n (b) 6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 78 - 243. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 + 22536*s**4 - 42232124*s**3 + 26153815240*s**2 + 319495712496*s + 293299642592 = 0. What is s?\nAnswer: -11, -1, 1882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 716674 - 2107021601\/2940. What is the common denominator of 40\/3 and r?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + 2 + 0 + 402 + -158 + -237.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/913256?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 14*z**2 - z + 10. Let d = 37 + -54. Let r = -31 - d. Does 10 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)\/(r**10\/r)*((r*r**(1\/9)*r)\/r*r)\/r**9 assuming r is positive.\nAnswer: r**(-233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*r + 3)*(4*r**3 - r**3 - r**3).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 597?\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -56, 2, -9, -2, 7 in increasing order.\nAnswer: -56, -9, -2, 2, 7, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21470 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.182103 months to years.\nAnswer: 1.51517525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.44 + -0.7. Let j = u + 1.1. Let x be 2\/(-10) + 2\/5. Which is the closest to 1? (a) -5 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -72. Suppose 2*a + 2*j = 6, 3*j = -4*a + b*j + 5. Suppose 0 = -a*s + 1829 + 399. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598952 is divided by 149738.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27042671, -27042694, -27042739, -27042812, -27042919, -27043066?\n\"Answer: -s**3 - 5*s**2 - s - 27042664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(2\/1)*(288\/14)\/48)\/(-41)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - (0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 + (6 - (-6)\/4))\/((-2)\/16). Solve 30 = -33*n - t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154503, 154508, 154525, 154560, 154619?\n\"Answer: l**3 - 2*l + 154504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 13*g - 18. Let c be b(10). Suppose 2*y = -2*y + 48. Calculate the greatest common divisor of c and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 6993571\nAnswer: -27974284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 2*g**2 + 9. Let s(n) = n**3 - n**2 - n. Let h(v) = c(v) + 2*s(v). Let x be h(4). Suppose 4*b - 49 = -x. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u\/((u*u**(-9)*u*u)\/u)*u)\/u)\/(u*u\/(u*u*u**6)*u)*(u**(-1\/12))**26 assuming u is positive.\nAnswer: u**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/42)\/((-405)\/(-81))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -u, -2*u - 3 = 2*r - 9. Suppose u = -4*k + 5*w + 9, -k + 2*w + 3 + 3 = 0. Which is the third smallest value? (a) 2\/19 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(21 - -2) - 17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 6. Let m(j) = -j**2 - 6*j - 6. Let k be m(c). Is k\/(-9) + (-6)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + -4?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**11*n*n))**(11\/2)*n\/n**(-10)*n**18 assuming n is positive.\nAnswer: n**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1 (b) 0.1 (c) -5\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/18)\/(18\/(-3600)). Calculate the highest common factor of f and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3 + 1061300*d**2 = 0.\nAnswer: -530650, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*n + 7 + 3 = 0, -4*n - 4 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 775*i - 3067. Calculate z(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:10 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r**4\/4 + 25*r**3\/4 - 3*r**2 - 7*r + 4 = 0. What is r?\nAnswer: -1, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18680 is divided by 469.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 372469299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 352.\nAnswer: 352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -2\/3, 42 in ascending order.\nAnswer: -26, -2\/3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 412476269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -220211?\nAnswer: -221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 9?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1172*y**2 + 106 - 6*y + 8 - 909*y**2 + 6 + 1095*y**2 wrt y?\nAnswer: 2716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 9:22 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/6 - 1\/2. Let s = 3.69 + -654.69. Let u = s + 653. What is the nearest to 1\/4 in u, -7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*y**2 - 719*y**2 - 426*y**2.\nAnswer: -830*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.01 (b) 16 (c) -2\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3924 is divided by 780.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -0.2 (c) 5 (d) -186\/7 (e) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233202221 + 2130?\nAnswer: 233211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -196 in 121, 9, 3, -4, -2.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**3 - f**2 - 4*f + 10. Let d(t) = -11*t**3 + t**2 + 6*t - 15. Calculate 5*d(u) + 7*k(u).\nAnswer: -6*u**3 - 2*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5310, 10040, 14772, 19506, 24242?\n\"Answer: t**2 + 4727*t + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77638*b**2 + 82894?\nAnswer: -155276*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6478 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67131911 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 - (8 + 2 - (-160 + 127))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 6, u: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14108 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3 + w**2 - 2 + 4 + 4 + 10*w. Calculate n(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 434840473*m + 366805854.\nAnswer: 434840473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625634334?\nAnswer: 2, 3, 13, 41, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1221795 to the nearest 10000.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(110))\/sqrt(10) + (1 + sqrt(11) + -1)*5 + 4)**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = -0*r. Let n be 20\/(4\/r)*-2. Let c = n - 14. Which is smaller: c or -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 138.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 12. Suppose -p*g = -3*m + 77, -5*g = -6*m + 2*m + 101. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v + 246 - 166 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 3 + (3 - 5). Suppose 0 = 5*d - a*d. Solve -4 = b + 3*b - h, -2*b + 2*h - 2 = d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -66, -3, -2, -62 in decreasing order.\nAnswer: 5, -2, -3, -62, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/9)\/(-5))\/((-12)\/18*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 747243 and 1267.8?\nAnswer: 745975.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35758 and 401204.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470823 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 - 192. Let h be 32\/48*(-45)\/(-2). Solve -5*j - 2 - 4 = 2*k, 5*k + a*j = -h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (2 + -58) - ((0 - -5) + 9)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 21. Calculate the remainder when 8 is divided by s(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-378)\/1008 - ((-4569)\/8)\/3. Let z(k) = -3*k**2 - 7*k - 3. Let i be z(-5). Let q = i - -81. Calculate the greatest common factor of q and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p + 10*p - 16*p**2 in the form y*p + f + a*p**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -0.7. Let m = -0.0794 - -0.1794. What is the nearest to -1 in m, 2, n, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-520)\/60))\/((-153)\/(-120)*5).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4004 divided by -2868.\nAnswer: 1001\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8107*n + 4050*n + 4056*n. Let w(a) = -2*a + 7. Determine k(d) + w(d).\nAnswer: -3*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from sassnas.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26389216 divided by -1884944?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*k - 99*k + 15*x - 12, -4*k = -4*x + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 808 and 7676.\nAnswer: 15352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:07 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 6*p - 3. What is the smallest common multiple of n(2) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2 - 36*m. Let l(o) = 88*o - 813. Let a be l(9). Let h(c) = 2*c**2 + 9*c. Calculate a*h(j) - 5*u(j).\nAnswer: 3*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58485 and 19005.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 10*o**2 - 57*o - 16. Let r be x(-14). Let l be (-1)\/r - -7*(-78)\/588. Which is the fourth biggest value? (a) l (b) 0.1 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39201 = -637*g + 6026 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + (sqrt(1377) + 3 + sqrt(1377) + -2)**2.\nAnswer: 45*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205383.\nAnswer: 3, 223, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 1, y: 1, u: 1, o: 4}. Give prob of picking 1 c and 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033820336 rounded to 6 decimal places?\nAnswer: -0.003382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -18, -29, -40, -51, -62?\n\"Answer: -11*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*z**2 + 268*z**2 - z + 363*z**3 - 4*z**4 - 178*z**3 - 185*z**3 as t*z + c*z**3 + g*z**4 + l*z**2 + q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 68*r**2 - 10*r. Let v(c) = 3*c. Give a(v(z)).\nAnswer: 612*z**2 - 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3180 - -4b8?\nAnswer: -2aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 0*q**3 - q**3)*(-8*q - 12*q + 3*q) to r + x*q + j*q**4 + u*q**3 + i*q**2 and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 492576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330228328 divided by -4.\nAnswer: -82557082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 + 2 = 0. Sort 4, -4, j in increasing order.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91763609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g + 0*g)*(-4 + 11 + 6) + (-2*g + 3 - 3)*(1 + 3 - 2) + 0*g - 2*g + 4*g as z + d*g and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3520 divided by -5\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9566100 and 4212.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m + 49. Let r = 26 + m. Suppose 12*w - 12 = r*w. Solve -14 = w*g - s, 0 = -5*g + s + 4*s - 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-6) - (-54)\/30. What is the nearest to 1\/2 in 0.06, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355102*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*q + 27 - 27)*(-q**2 + 0*q + 0*q + (0 + 2*q + 0)*(0*q + 4*q - 5*q) - q + q + q**2) to x*q**3 + m*q**2 + z + a*q and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3)**26)**(-48) assuming q is positive.\nAnswer: q**(-3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 + 257. Solve 0*m - 2*l = -v*m + 20, 0 = m - 3*l - 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 605. Let r be -2*(n\/2 + 2). What is the tens digit of (-16)\/(-24)*r\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 11 = -71. Let r = -325 + 328. Calculate the highest common factor of r and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -13*p + 3. Suppose -3*h = 2*s + 7, 3*s - 4*s - 3*h = 2. Let g(l) = 7*l - 2. Determine s*g(w) - 3*a(w).\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 3*y - 60. Let m be (y + -24)*(-1 + (-6)\/(-9)). Solve -3*d + 13 = 5*u + m, 15 = 5*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1006?\nAnswer: 7042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-9 + 7) - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16773?\nAnswer: 3, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 - 112 - 251*i**2 + 112 - 4*i**3 + 262*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 26*i = -78, 11*i + 3*i - 6 = -4*m + 12*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 11 - 1, 4*y = 4*b - 8. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53174685 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2678592.9 months to years.\nAnswer: 223216.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(57\/135 + (-4)\/18). What is the hundreds digit of (0 - -204) + (6 - r - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6885*f + 6955*f**3 + 6884*f - f**2 - 13769*f.\nAnswer: 6955*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i + i - 2*i. Suppose -4*n - 10 = -9*n. Let q(p) = 15*p**2 - 10*p**n + 2*p**2. What is q(l(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3166 is divided by 511.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19451 greater than 19419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3, -9*k + 5*f = -8*k - 34. Calculate the remainder when 111 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**5\/20 + s**4\/12 + 133*s**2\/2 + 21*s. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 - 5*h - 2. Give u(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -10, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let z = -241 + 239. Which is the second biggest value? (a) z (b) -7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 + 199*t - 812. What is l(62)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722864842?\nAnswer: 2, 7, 19, 113, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7443.039um in meters?\nAnswer: 0.007443039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*3*sqrt(13) + (-2*(3*sqrt(13) - sqrt(13))*6)**2.\nAnswer: 12*sqrt(13) + 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -479, 92, 4 in increasing order.\nAnswer: -479, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + 0.7. Let j = t - -3.2. Which is the smallest value? (a) -1\/8 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163370406 to the power of 1\/2, to the nearest integer?\nAnswer: 12782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 156470382 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -598 + 166*c**2 - 11*c + 598 + 11*c + 129*c**4 wrt c?\nAnswer: 3096*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/3*1 + 5. What is the second biggest value in -2, o, 0.25?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156578697 to the nearest integer?\nAnswer: 12513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62631583*n*z**2 + 5425525*n*z + 2*n - 3*z**2 - z - 16 wrt z.\nAnswer: -125263166*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262962 is divided by 1069?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:40 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/4 - 2\/4. Let s be ((1 + -1)\/3)\/3. Factor s*o**3 - o**d + 4*o**4 - 3*o**4 + o**3 - o**2.\nAnswer: -o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, -291, -916, -1861, -3126?\n\"Answer: -160*n**2 + 175*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**3 - 47*y**3 - 45*y**3 + 125*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*y - 498*y + 5*s = 255130, -2*s - 255144 = -4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29608149.\nAnswer: 3, 2543, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006976 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**10\/3024 + o**6\/60 - 11*o**4\/6 + 2*o. Let s(f) be the third derivative of t(f). Find the second derivative of s(m) wrt m.\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1239 + 1239. Factor 3\/2*g**2 + 2*g**3 + b + 1\/4*g.\nAnswer: g*(2*g + 1)*(4*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1 (c) -20\/3 (d) 1\/6 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 8*y + 39, 2*x = -x + 2*y + 3. Calculate the remainder when 640 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5001 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 659784.5 minutes in microseconds?\nAnswer: 39587070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose s*l - 60 = -3*l. List the prime factors of l*(0 + 2\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18750, -74853, -168366, -299289, -467622?\n\"Answer: -18705*g**2 + 12*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 12*p = -3. Let o be 2\/(-3) + 4\/6. Let i(v) = v**3 - v + 1. Let b be i(o). Solve -b - p = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -213269.9.\nAnswer: -213269.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16464.03 kilograms?\nAnswer: 16464030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/45 (b) -22\/39 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + -1 + -1 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 30, 48, 66?\n\"Answer: 18*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x - x**4 - 11*x)*(x - x - 2*x) + 68*x**5 + 10*x**5 + 9*x**5.\nAnswer: 89*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279.2 - 279. Let s = 2 - 2.03. Which is bigger: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -855, -1871, -3293?\nAnswer: -5121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 (base 4) in base 2?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 8*n + 9. Suppose 3*r - 2*s - 3*s - 4 = 0, s = -r - 12. What are the prime factors of m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 10 = 4*l, 11 = 4*f - 3*l - 9. Calculate the lowest common multiple of f and 13 - -4*(8\/4 - 30\/12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 1 - 1)*(1 + 2 + 2)*(43 - 60 + 56)*(-22 + 7*f + 22) in the form h*f**2 + w + u*f and give h.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 19*w + 34384 = 17*w + 34317, -4*m + 0*m - 3*w + 59 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, 614, 5888, 14480, 26396, 41642, 60224?\nAnswer: 82148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -y - 0*y. Suppose -3*k = 2*g + k + y, 4*k + 259 = -5*g. Is 8 a factor of (4\/4)\/((-3)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 2*k - 11. Let t be u(-5). Suppose -t*y = 12, 5*v - 58 - 92 = 5*y. What is the highest common factor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:15 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/416 and 7\/338.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**6\/180 - c**3 + 3. Let m(r) be the third derivative of a(r). Let u(o) = -2*o. Determine m(u(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.075.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*d - 7*d - 56 + 416 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/33*12\/34)\/((-1)\/3).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361*t**2 + 14*t - 29*t - 333*t**2 to i*t**2 + x + h*t and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3ab (base 14) to base 11\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/5 + 42*w**2\/5 - 147*w + 2744\/5 = 0.\nAnswer: -56, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -80, -2\/9, 4\/5, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 3, m: 4, n: 4}. What is prob of picking 2 n, 1 m, and 1 o?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -346 and 0.2?\nAnswer: 346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0221 and 62?\nAnswer: -1.3702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 + (-19)\/7. Let i(l) = -l**2 - 4*l + 1. Let d be i(z). What is the least common multiple of 5 and (-66)\/(-8) + (-1)\/d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = 2*t, -2*t = 4*j - 3*t - 4. Suppose 0 = -3*g - 3, j*g = 2*z - 3*z - 4. Let i = z - -7. Sort -5, i, -1 in ascending order.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1\/4, 3\/4354, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 183 = 3*j, 0 = -2*y - j + 73. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 1. Let x(s) = -s**2 + 2*s + 2. Let g(f) = 3*j(f) + 2*x(f). Let a be 4\/(-14) - (-16)\/7. Let u be a\/1*-1 - 0. Give g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 + -7 + -14. Let t(g) = -g**3 - 19*g**2 + 18*g + 31. Is t(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13070, -6, -3.\nAnswer: -13070, -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38044.62 rounded to the nearest 10?\nAnswer: 38040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12113 divided by -2\nAnswer: 12113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4160 and 38434.\nAnswer: 79942720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 3. Let r be z(-3). Let u(q) = 9*q**3 - 5*q**2 + 3. Let g(i) = 22*i**3 - 12*i**2 + 8. Let w(d) = r*u(d) - 5*g(d). Differentiate w(o) wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 4*x**2 - 19*x**3 - 8*x**2.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - ((5 + sqrt(7)*-1)**2 - sqrt(7))) + sqrt(7) - -6*(sqrt(7) + 1)) + -4.\nAnswer: -30 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 20*f**2 + 2061*f - 30158. Determine m(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-638)\/87)\/(-2)*-6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -780.4055 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004069474 to five dps.\nAnswer: -0.00407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) -2075 (c) 0 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + -2.5. Let l = -0.9 + 0.4. Let s = 0.8 - -0.2. Which is the third biggest value? (a) s (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 2*y**3 + 2*y**3)*(-3*y**2 + y**2 + 3*y**2) + 29*y**5 + 88*y**5 - 17*y**5 - 29*y**5 - 28*y**5 + 23*y**5.\nAnswer: 67*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {l: 1, m: 2, n: 1, u: 2, q: 1, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 3, k: 2, i: 9, x: 1, m: 2}. What is prob of sequence mok?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*b + 60 = -447*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38396 less than 26?\nAnswer: -38370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299156.\nAnswer: 2, 11, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819187 to the power of 1\/2, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 - -0.0312311791159?\nAnswer: -729.9687688208841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0 + -24 + 19 + -14\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4445294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -0.2, 2\/3, -0.4, 7\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c**3*y**2 - 157*c**3 - 11*c**2*y**2 - 2*c**2*y + 2*y**2 - 3*y wrt y.\nAnswer: 16*c**3 - 22*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 18*k - 111. Let r be y(6). Let l = 84 - 54. Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601839533?\nAnswer: 3, 7, 31, 89, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1189 + 1189. Solve -2*c + g = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6108.0014057 + -6108. Round y to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 8*h**2 - 10*h + 11. Let l be r(-4). Which is smaller: 52 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384 or -380?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 868*q**2 + 114*q + 745. Is z(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*k + 3)*(2*k**3 + 2*k - 2*k)*(93 + 9*k - 93) + 0*k**5 + k**5 + k**5.\nAnswer: 38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.82 - -1.18. Which is the nearest to -2? (a) q (b) 23 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.139068 nanograms to micrograms.\nAnswer: 0.007139068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h + 5. Let i be -1*2 + (6 - 3). Let l(z) = -4 + i - 3 + 3*z + 4. Determine -4*c(m) - 11*l(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 161047 (base 15) in base 13?\nAnswer: 2b4608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2, -1, 18 in increasing order.\nAnswer: -2, -1, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-40) - (1291\/(-5) + -1). Let c = 265 - w. Calculate the smallest common multiple of c and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98704, -194, -9 in decreasing order.\nAnswer: -9, -194, -98704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 7*d - 2. Is s(5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 116223, -5 in increasing order.\nAnswer: -5, 0, 116223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 6. Let h be f(8). Let v be h\/(-4*(-1)\/2). Let g be (v - -391)*1250\/(-1). Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2073*a - 17. Let q(b) = -b + 21. Let p be q(27). Is d(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3551, 3549, 3561, 3593, 3651, 3741?\n\"Answer: z**3 + z**2 - 12*z + 3561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.9 minus 98211909983?\nAnswer: -98211909952.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 12 - 15)*(u**2 + u - u)*(-3*u - 2*u + 19*u).\nAnswer: -224*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -119.4 (b) 12717 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -38*c + 185. Let n(s) = -s**2 + 5*s + 3. Give n(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) - (3*3*sqrt(432) + sqrt(432))))\/(sqrt(9) + (sqrt(9) - sqrt(9)*-3)*-1))**2.\nAnswer: 1600\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y - 4*y**2 + 5*y + 11*y**4 + 30*y + 3*y**2 wrt y?\nAnswer: 132*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1295 divided by 259?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:46 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5184879 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 365, 522, 677, 824?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -204. Is 44 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -38. Suppose 4*l - 8 = -0, -18 = 4*n - 3*l. Let w be -2 + (13 - (2 + n)). Calculate the greatest common divisor of w and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n*v**6 - 84837829*n*v**3 + n*v**2 + 10*n*v - 910785*v**2 wrt v?\nAnswer: -120*n*v**3 - 509026974*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/14)*d\/(d*d\/d**(-1\/2)))\/(d*d**15*d*d*d*d*d*d**(-1)))**20 assuming d is positive.\nAnswer: d**(-3000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -736*y**3 - y**2 - 1264 wrt y?\nAnswer: -4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0601572 rounded to 4 dps?\nAnswer: 0.0602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -0.05, -7.85?\nAnswer: -7.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5\/5 - 83344*n**4\/5 + 100032*n**3 - 1000384*n**2\/5 + 666944*n\/5 = 0. What is n?\nAnswer: -20842, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2. Let n(m) = m**3 + 9*m**2 - 4*m - 6. Let r be n(-8). Let g(x) = -x - 90 + 2*x + r. What is h(g(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 2, m: 5}. Give prob of picking 3 m and 1 b.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g + 15*g**2 - 7*g + 9*g wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 4*f**2 + 15. Let u be m(-4). Round u to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - c**2 + c**3 + 4 + 3*c**2 in the form q*c + p*c**2 + a*c**3 + g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4 and 125\/984408?\nAnswer: 984408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + ((sqrt(80) + 1*sqrt(80) + sqrt(80))\/sqrt(5) - sqrt(16))\/sqrt(8)).\nAnswer: -8*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 1917.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -13*x + 33. Calculate the greatest common divisor of 44 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -45*t**2 - 9015*t - 2993. What is h(-200)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-77) + (-41)\/22. What is the nearest to 0.1 in n, -2\/17, 5\/7, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**4 + 25*r**3 - 56*r**2 + 29*r - 5. Let g(l) = 10*l**4 + 37*l**3 - 83*l**2 + 44*l - 8. Let v(a) = 5*g(a) - 8*t(a). Factor v(x).\nAnswer: -3*x*(x - 1)*(x + 4)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 101 - 211. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -43, -56, -772.\nAnswer: -772, -56, -43, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.07 - -6.07. Which is the nearest to 2? (a) 14 (b) -2 (c) -5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43382?\nAnswer: 2, 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 61. Let c = a - -38. Solve -v + c + 1 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -33*b**2\/2 - 142*b - 7. List the prime factors of s(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 2, 77.995724?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 31, 1, -3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:21 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12849235 and -555?\nAnswer: 12849790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18*(-2 - 16). Let i(o) be the first derivative of -o**3 - d + o**4 + 0*o - 1\/2*o**2. Factor i(j).\nAnswer: j*(j - 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1573 + 1573.2. What is the second biggest value in z, 3\/7, 10, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/120 + i**4\/8 - i**3\/2 + 12*i**2. Let q(s) be the first derivative of d(s). Let f be q(-9). Solve -w = 3*w - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (10 - 51) - 41.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**3 + 129530*n**2 - 830943900*n - 103312159560 = 0.\nAnswer: -122, 13014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:39 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10107883 is divided by 2021549?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-z - z + 4*z) + z + 5*z - 4*z + (-2*z - 2*z + 0*z)*(-1 + 5 - 3) in the form a*z + p and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 350288454 to the power of 1\/2, to the nearest integer?\nAnswer: 18716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*d**4 - 94*d**3 + d**2 + 36*d.\nAnswer: -312*d - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, h: 4, e: 3}. What is prob of sequence eehe?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2596558*((-90)\/(-20) - (16 - -4)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n + 8*n + 2 - 4 + 19*n. Let w(g) = g. Calculate w(m(h)).\nAnswer: 18*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/2389425597 and -59\/6.\nAnswer: 4778851194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**3\/3 + 26. Let t(l) = -11*l. Give t(c(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**2 + 7*i**2 + 19*i**2)*(0*i + i - 2*i) + 2*i**3 - i**3 + 2*i**3 + (5 - 2 - 1)*(-5*i**3 + 4*i**3 - i**3).\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1308 and 20\/1264977.\nAnswer: 551529972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Suppose n + o*a - 36 = 0, -2 = 5*a - 22. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149653.4 - -149658. Let d = 0.3 - -0.1. Put r, 0.2, d, -2 in decreasing order.\nAnswer: r, d, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265*4.9\nAnswer: 1298.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-27)*x**22)\/(x*x**(-1\/10))**37)**(-38\/3) assuming x is positive.\nAnswer: x**(7277\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.101 times 2.1631?\nAnswer: -6.7077731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 27*o + 3. Calculate i(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-14 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 3 + -1 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*a + 5 = -m, 0 = m + 4*a + 19. Let f = -2.6 + 2.6. What is the third biggest value in m, -8, f, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*p - 1189*p + 29*p - 587*p to the form y*p + a and give y.\nAnswer: -1562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 742 - 14. Suppose -x*r = -37*r - 18601. What is the highest common factor of 89 and r?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.392184 days in weeks?\nAnswer: 1.770312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430270*y**3 + 860570*y**3 + 3*y - 430289*y**3.\nAnswer: 11*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -591, 20 in decreasing order.\nAnswer: 20, -206, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -0.14.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005340323 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569 + 579 = l. Solve 6*o - o - l = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 0 - ((-39 - 5) + 9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o - 337. Give x(5).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2. Let q(y) = y**2 + 2. Determine q(b(w)).\nAnswer: 4*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-524)\/(-7 + 3) + -3. Suppose -4*g - 5*h = -c, 2*g - 2*h + 4*h = 62. Solve -q - 4*r + 16 = -r, 2*q = -5*r + g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z*z**(-21\/4))*z)\/z*z))\/z**2 assuming z is positive.\nAnswer: z**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5328 (base 10) to base 15\nAnswer: -18a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - 0, -2*d = 3*x + 156. Let t be 191\/(-9) + 3\/(d\/(-6)). Does 22 divide 3 - 3 - (t*3 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 6 + 0 - 7 - 1. Determine m(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 3. Let i(k) = -4*k**2 - 20. Determine i(x(q)).\nAnswer: -36*q**4 - 72*q**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 142907711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00077981258 to 7 decimal places.\nAnswer: 0.0007798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and 101.\nAnswer: 100.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/203*(-2)\/6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f + 6. Calculate the remainder when o(-5) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 1 + 2 - (-339 - -336)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1327 + -1275. Which is smaller: 55 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1194480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59040153.\nAnswer: 3, 6560017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-30)*8 + -1. Let n = 12.9 - 12.719. Let k = -0.381 + n. Sort -5, k, t in descending order.\nAnswer: t, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 72. Let r = 24 + 39. Let z = l + r. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4555342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**3 + 8*o**3 + 4*o**3 + 0*o**3 + 0*o**3 + o**3 + (-2*o**2 + 0*o**2 + 0*o**2)*(-o - o + o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**3 - 4*v**3 + 3*v**3)*(0 + 4 - 2)*(-16 + 0 + 2) in the form z + s*v**2 + m*v + l*v**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 1152 = 121*x - 1020 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9684742 and -4.\nAnswer: 11.8738968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 32 = -4*q. Let n(j) = -j**2 - 14*j - 1. Let l be n(-3). What is the highest common factor of q and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*7\/(-1701)*-9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**3 + 1732374*t**2 + 190033*t wrt t.\nAnswer: -6*t + 3464748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472)*-2*2)\/(4*sqrt(48)\/sqrt(6)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -o - 4, 2*o + 3*u = -4 + 1. Let f be (-130)\/6 + 6*(-6)\/(-54). Let k(x) = x + 24. What is the remainder when o is divided by k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -16) + 261 + -263.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*g = 184. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 11. Let g(y) = -3*y - 6. Let r(u) = 7*g(u) + 4*t(u). Let k be r(0). Solve 0 = 2*f - 0 + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -108. Suppose 38*z = i*z - 2756. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44708 divided by -22354?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3623.71 + 5?\nAnswer: 3628.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 453 and 39978\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13*s**2. Let o(x) = -62*x**2 + 4*x + 3. Determine 4*b(a) - o(a).\nAnswer: 10*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -21*n + 362. Let f be w(17). Solve -f*r + 7 = -5*l - 9*r, -2*l + 17 = -5*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/3 + m**2\/2 + 2*m. Let h be g(-1). Suppose -n + t = -3*n + 5, -n + 16 = -4*t. Solve h*x - n = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 30. Solve -7*f + 15 = -x*p - 4*f, 3*f - 15 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 24*s**2 + 9831*s - 3703. What is l(-410)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-141)\/(-78))\/((-615)\/(-15990))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:20 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f**3\/3 + f**2\/2 + 10*f - 45. Differentiate s(m) wrt m.\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -193, -877, -2079, -3823, -6133, -9033, -12547, -16699?\n\"Answer: -4*g**3 - 235*g**2 + 49*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -12806974?\nAnswer: 12806952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i = 148*i - 17077 - 227 for i.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 307.\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24326769.\nAnswer: 3, 8108923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.2, -2\/5, -4, 2581, -50?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105627935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36540 and 358911.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:02 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 6. Let y(t) = -2*t**2 - t + 7. Let b(f) = -4*c(f) - 3*y(f). Let i be b(-3). Suppose 8*k = 4*k + i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28989?\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(-39) - 86\/(-6). Let g(m) = m**3 - 13*m**2 - 13*m + 2. Let l be g(t). Calculate the greatest common divisor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 49*p**2 - p - 38. What is g(49)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4325388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386379 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277375 by -55475.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7162961165 + 0.0397.\nAnswer: 7162961165.0397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + -2 - (-1 + 1 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -65, -1, 0, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + (2 - 0) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 6*l - 97. Let j(y) = -2*y**2 + 5*y - 97. Calculate -5*g(d) + 6*j(d).\nAnswer: 3*d**2 - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 2990 = -16*t + 2650 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-9)\/(-198)). Let g = -8 - d. Suppose -2 = -g*z + 10. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1880 and 12687650?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0061 + 0.0939. Let l be 1\/(-4) + (-14)\/8. Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 2 + (-199 - -219)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + 6*a - 8. Let i be s(-6). Calculate the common denominator of (-525)\/36 - (-2)\/i and 1395\/42 + 2\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44212 or 1845?\nAnswer: -44212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.49 (b) -0.1 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10323 + 18064. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396*r - 1362*r = 306 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1113, -1163, -1193, -1197, -1169, -1103, -993?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 3*j + 0*j)*(-846504 + 1661113 - 832040) to the form u + x*j and give x.\nAnswer: -34862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 352 - 132. Suppose t = -r - 31, 5*r + 73 = -4*t - s. What is the hundreds digit of (t\/(-27))\/(164\/(-165) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 - 17771.\nAnswer: -18254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let u be (-6)\/2 - (-31 - 11). Let n be u\/(-442)*8\/(-6). Put -2\/11, x, n in decreasing order.\nAnswer: n, x, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9707 >= 9706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*m - 85 - 3, -5*d = -2*m + 29. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -43. Let c(h) = -h - 2. Calculate c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*g*k**2 + 15*f**2*k**2 + 2*f**2 - 2*f*g*k + 3*g*k**2 + 24*g wrt k.\nAnswer: 2*f**2*g + 30*f**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 19428270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -53*d**3 - 5*d**2 + 5*d - 9. Let m(x) = 27*x**3 + 3*x**2 - 3*x + 5. Determine 3*k(a) + 5*m(a).\nAnswer: -24*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19\/((j*(j**(-2\/33)*j)\/j)\/j))**(-20) assuming j is positive.\nAnswer: j**(-12580\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by 82.\nAnswer: 152\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 10 - 2 - 4965054*n + 4965066*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 41*29866\nAnswer: 1224506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*l**2*r + 5*j*l*r - 15*j*l - 2*j + 4*l**2*r - 980664*l**2 + 2*l*r - 170*l wrt l?\nAnswer: -2*j*r + 8*r - 1961328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12754 and 2.\nAnswer: 12754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -7 + -24 + 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 895318 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 180?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*s - 1 - 61*s**2 - 2 - 115*s + 14*s**2.\nAnswer: -47*s**2 - 242*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6*d = 1623. Suppose -18 = -544*m + d*m. Let h(f) = f**3 - 5*f**2 - 6*f. What is h(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 - u**2 + 3*u + 1. Let h be k(-2). Let w = h + -12. Suppose -l - w*l = 0. Solve l = -o - 4, m = -3*m - 4*o - 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64.23589 weeks?\nAnswer: 38849866272000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 2, l: 1, c: 1, d: 1, u: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*41\/(-82)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/119*14*(1 + -2). Let z(k) = 4*k**2 - 4*k - 3. Let b(u) = 8*u**2 - 9*u - 7. Calculate w*b(c) - 9*z(c).\nAnswer: -4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -285*f - 1476. What are the prime factors of k(-33)?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46391 is divided by 418.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 21. Let g = -7 + r. Is g < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w**3 - 199*w**3 + 36*w**3 - 28*w**3.\nAnswer: -218*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 120. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t + 1. Let g(d) = -6*d**2 - 5*d - 3. Let a(o) = -g(o) - 5*p(o). Determine a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*h + 1 - 84*h + 45*h + 23 + 4 to the form g + u*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u + 8. Let q be v(-9). Calculate the common denominator of q - ((-945)\/(-48))\/(-7) and -137\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -2, 5\/4, -550?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50\/5 + 21 + 13281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37898 divided by 5414\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(6\/5)*r)\/r**(-2\/3) assuming r is positive.\nAnswer: r**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Convert -21 (base 5) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 17420*q**3 + 17223870*q**2 + 3572929100*q + 210340305125.\nAnswer: 5*(q + 127)**2*(q + 1615)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.5. Let p = 0.76 - 0.7. Let b = -3.94 - p. Sort b, -1, m.\nAnswer: b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 14*d + 17. Calculate q(-9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 33. Suppose -c*a - 16 = -3*a. List the prime factors of 3 + a + 164*1.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191790 and 317070?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 334*o**3 - 3*o**2 - 4*o - 2. Let f be m(-1). Let b = f - -519. Calculate the greatest common divisor of b and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -2*y, -3*y = 7*d - 3*d - 19. Let t = 3.4 - 17.9. Let m = -6.5 - t. Which is the nearest to m? (a) 0.2 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.5. Let w = q + -0.6. Let a = w - -0.2. Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 - 276*j**3 - 17613*j**2 + 197330*j - 511200 = 0.\nAnswer: -144, -142, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2320*s**2 + 3 - 3.\nAnswer: -2320*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 6*h**2 - 2*h + 3. Let w be p(-3). Let f = -3 + 5. Let g(v) = -v + 7. Let u be g(6). Solve -w = -f*d - u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74\/7 + 652\/63. Let s be 6 - (29 + -5)\/6. Sort 0.3, s, 0.4, t.\nAnswer: t, 0.3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -6*l**5\/35 - 6*l**4\/7 + 48*l**2\/7 + 96*l\/7 + 128. Factor v(j).\nAnswer: -6*(j - 2)*(j + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -115.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 3*y - 1. Suppose -16*w = -2*w - 75 - 345. What is the remainder when w is divided by m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -18. Suppose -2*u - 12 = -4*r - 5*u, 2*r - 5*u = v. Solve 15 = -3*j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 greater than or equal to 2006\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w + 70. Let o = 674 + -664. Determine h(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 + 4?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 + 99 = -x + 5*p, 19 = 5*x + 2*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*(m\/m**(3\/4))\/m)*m*m*m**(1\/7)*m)\/(m\/m**(-1))**(-1\/68))\/((m**(2\/7)*m*m)**(-40))**(-6) assuming m is positive.\nAnswer: m**(-258777\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4151475408 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*k = -116*k - 35. What is the common denominator of 63 + -61 - 64\/k and -57\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 0 (c) -1\/4 (d) -417 (e) 0.58 (f) -88 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + 24\/14. Suppose 0 = w + 5*a - 13, i*w - 5 = w - a. Let v(y) = y**2 + 3*y + 4. Let z be v(-2). Put z, -1, 0, w in decreasing order.\nAnswer: w, z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -79, -143, -233, -355, -515?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.5. Let d = 0.1 + b. Let w = -1 - d. Which is smaller: w or -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2017136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22549.\nAnswer: 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x + 21*x - x**3 - x**2 + 61*x as g*x**3 + c*x + o + q*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9168*b + 13*b**3 - 9168*b.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 35 = 14*l - 93 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 14*k**2 - 18*k + 16. Let h be f(8). Suppose -47*l + 58*l - 33 = h. Factor 2\/21*z**2 + 0*z + 0 - 2\/21*z**l.\nAnswer: -2*z**2*(z - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - -0.03. Let r = u - 0. What is the third smallest value in -5, r, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-810)\/(-72) - 5) + -7 - (-210475)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2342)\/(-212) - 11)*6\/5. What is the second biggest value in j, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132.2 + -132.3. Is i >= -8\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 9*a**2 - 4*a - 9. What is the tens digit of q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 91\/612 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 3441*z + 51821. Determine u(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2526?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -30200102130?\nAnswer: 30200102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(5\/2)\/(-1). Let o(d) = -231*d + 6 + 116*d + 117*d. Give o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-15))\/(4\/18). Let u(r) = 8*r - 4. Let v(g) = g. Calculate d*v(z) + u(z).\nAnswer: 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 652*h**2 + 88 + 3 - 646*h**2 + (2 + h - 2)*(h + 3*h - 2*h) to c*h + p*h**2 + m and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3702\/7 + -621. Let t = x - -92. Which is the closest to 2\/7? (a) -2 (b) t (c) 2\/19 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:28 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 - h**2 + 15*h + 10. Let t be x(-4). What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 - 15*a**2 + 59*a - 501. Determine h(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*j - 18 = 0, -3*j - 22 = -3*b - 2*j. Suppose -22 = b*k - 206. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - i - 70 = 0, 5*z + 4*i - 83 = 3*i. Solve -z*s + 15 = -12*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3\/2*q**2 - 5*q + 5. Let p(i) = i**2 + 4*i - 1. Let l be p(-5). Determine m(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 19\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 63. What is the remainder when 81 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.19 and 18.4453286.\nAnswer: 18.6353286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650461956 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*840\/735*14\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 644*z**2 + 114*z - 111. Is i(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30687265.\nAnswer: 5, 7, 53, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 3*c)*(-2243 - 16*c - 30*c + 2239)*(-c + 1 - 1).\nAnswer: -92*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204369 and 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -15991937.\nAnswer: 15\/15991937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 30. Suppose x*v - 108 = -v. Suppose -v - 12 = -3*s. What is the greatest common divisor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 52 (b) 39 (c) -4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6384 and 102144?\nAnswer: 102144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 - 3 - 3 + w. Let f(y) = 2*y**2 - 10*y + 9. Suppose -30*c + 43 = -47. Let s be f(c). Determine t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5201\/54 (b) 22\/9 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -23683 - 23689 + 47372 + 10686*c. Let n(d) = -d. Determine n(o(m)).\nAnswer: -10686*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6142 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 4) + 3)\/(14\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233113033 (base 4) to base 16.\nAnswer: 6f5cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5090 divided by 5.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87339, 349326, 785969, 1397268?\nAnswer: 2183223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/12 + 1250\/375 - -4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjljjlccjcjjz. Give prob of sequence cl.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqua. What is prob of picking 1 x and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 8*m + 10. Suppose -2*v = -2*d - 2, v + v = -d + 11. Suppose -11 = v*p + 17. Give h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44040 (base 6) in base 11?\nAnswer: -4620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {g: 1, d: 5, m: 6, k: 5}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120922*n**2*q + 33*n**2*t - 6*n*q**3 + 52152*q**3*t with respect to t.\nAnswer: 33*n**2 + 52152*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + -4*(4*(2 + sqrt(1573)))**2 + ((-1 + sqrt(1573) - sqrt(1573)) + 0)**2 + (1 + sqrt(1573) + 4)**2.\nAnswer: -99320 - 2706*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -116. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 15. Let q be m(-3). Let c(k) be the first derivative of 0*k**2 + 0*k**3 - 5 - 2\/5*k**5 + q*k**4 - 1\/3*k**6 + 0*k. Find s, given that c(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 1 + 6*z**3 - 7*z**2 - 9*z**3 - 2*z. Let b(t) = -12 - t + 13 - 7. Let w be b(-5). What is y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 11) to base 5.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -45993 bigger than -45987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2 - (-4)\/(-8). Let u(m) = -m**2 + m - 2. Let s be u(0). Let w be -1*(3\/s)\/3. What is the closest to w in 0.4, -1, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26391 divided by 17?\nAnswer: 26391\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f + 84*f - 28*f - 29*f - 3*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*u + 361*u + 2 = b, -11*b + u + 10 = -22*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 1. Let s(y) = 2240*y - 700. Calculate s(q) - 700*u(q).\nAnswer: 140*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110200 (base 4) to base 6\nAnswer: -10024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.5, 5, -1\/3, -3\/5, 0.1, 2\/7, -29.456?\nAnswer: -29.456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 66672 divided by -16668\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 1.35, 2\/9, -2\/11, -5, 521?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -136ab?\nAnswer: 136a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25554 + 1374 = -155*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 150 = 6*i. Suppose -16*x + 58 = -i*x + 5*w, 4*x + 3*w - 266 = 0. What is the greatest common divisor of 238 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8471 + 3169 = 368*h - 12648 for h.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a - 122. Let u be x(17). Suppose -4*g = -2*s + 45 - 311, 0 = -g - s + u. Which is smaller: 199\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -126 - 7*w + 138 + w - 10*w. Calculate c(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29931 not equal to -2396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -340 less than or equal to -66951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 10 - 7)*(-35828*w**2 + 2313*w - 1 + 2 + 35829*w**2).\nAnswer: 23*w**2 + 53199*w + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 - -1.3. Let q = c - -1. Let g = 1.6 + q. What is the nearest to g in -2\/3, -4, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162.9 + 163. Suppose -3*k - 2 = 25. Is d greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 1 - 1 - (228 - 103 - 132)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2920 divided by -365.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 46. Let w = 381 - 210. Suppose 0*g - w = -3*g. Calculate the highest common factor of g and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2 - 5. Suppose -7*d + t*d = -8. Solve 2*s + d*l + 3*l - 23 = 0, l = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -460*p**2 + 1113?\nAnswer: -920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 5*n - 2*n + 2 - 2 + 3*n - 3*n + 2*n + (0*n - 2*n + 0*n)*(1 + 2 - 5) + 2*n - n + 0*n - 2*n + n + 2*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29200 and 18396.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6964*s - 2318. Let p be k(72). What is p rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -51. Is 1 + 1 + 1952 - v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 + 97 = -5*n - 5*o, 0 = -o. Let j = -169\/3 - n. Factor 0*h**3 + 4\/3*h**2 - j - 2\/3*h**4 + 0*h.\nAnswer: -2*(h - 1)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 4. Suppose 2*f + 4*n - 10 = 4*f, 3*f - 4*n + 5 = 0. Let c be x(f). Suppose -d + 2*w - 7 = 0, 3*d + 0 = 3*w - c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1023\/220)\/(-31)*(-5)\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 427\/14. Suppose 4*k - 2*k + 2*q - u = 0, 0 = -3*q + 15. Find the second derivative of k*t - 7*t + 4*t**5 + 2*t**5 + t wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-5*(sqrt(19) - (sqrt(19) + 1)))**2*3 - ((sqrt(1216)*-2)**2 + 3)) + -2).\nAnswer: 9588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 8) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82999307.\nAnswer: 31, 739, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 4:27 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/41582464 and 32\/88599?\nAnswer: 124747392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1048911 and 1.\nAnswer: -1048911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -777*-11\nAnswer: 8547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/(s**9\/s) assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 624 - 258. Calculate the remainder when q\/(-4)*(-4)\/6 is divided by (2 + -1)\/(1\/21).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 11*s**2 + 8*s + 11. Let a(f) = -2*f**3 - 4*f**2 + 3*f + 4. Let u = 59 + -53. Suppose 23*q + u = 25*q. What is q*i(y) - 8*a(y)?\nAnswer: -2*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in -0.4, 2\/17, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13396*f - f**2 - 20*f**2 - f**3 - 13397*f to the form s*f**2 + d*f + x + p*f**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 1. What is o(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:56 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*k = -5*k + 543, k + 362 = -2*n. What is the tens digit of (-4)\/48*3*20*n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2. Let d(b) = 14*b. Calculate g(d(t)).\nAnswer: 980*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1374 * 0.3\nAnswer: 0.04122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17359*0.1.\nAnswer: 0.017359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.35. Let p = 0.01 + 0.02. Let d = p - -0.07. Which is the nearest to -0.1? (a) d (b) -1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 238 = -3*q - 206, -737 = 5*x + 4*q. Let z = x - -143. Put -3\/5, 2\/5, z, 2 in descending order.\nAnswer: 2, 2\/5, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**3 - 4*p**3 + p**3 - p**3 + 3*p**2 - p + 1. Suppose -5*d + d - 8 = x, 0 = x - 4. Let s be q(d). Solve 5*i + s = -11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgbwnitwi. What is prob of sequence tb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.068 in 25, 2, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17842 by -59.\nAnswer: 17842\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2101976 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332723521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15d7 (base 14) to base 7.\nAnswer: 14260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 1340, 1150, 794, 236, -560, -1630, -3010?\nAnswer: -4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/33)\/((-2)\/(-3)). Let j(t) = -6*t**3 + t - 1. Let s be j(v). Let z be -1 - 10*3\/s. Solve 0 = z*r - a, r + 2*r - a + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*3*3)\/(2*(1*sqrt(4) + sqrt(4))*5))**2.\nAnswer: 729\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*x = 2*j + 4*x + 42, 0 = -198130*j + 198127*j - 30*x - 111 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - x**2 - 4*x**2)*(576 - 9*x - 576) + (1 - 4 + 4)*(-x**3 - 2*x**3 + x**3) - x**3 + 3*x**3 - 4*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -41347817.\nAnswer: 6\/41347817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -143\/3, 1\/2, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -214*r - 5883 + 18295. Which is greater: 54 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/30 + p**4\/72 + 4*p**3\/9 - p**2\/3 + 2*p + 7. Let r(h) be the first derivative of i(h). Find b such that r(b) = 0.\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:45 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4247269 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*u - 27, 0 = z - 2*z + u. Solve -z*k = 2*p + 13, 3*k = 4*p + 7*k + 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiillli. Give prob of sequence ilil.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 7*p**2 - 10*p - 4. Let o be v(-2). Let y = 3 + 10. Solve h - o*t - 9 = -0*t, 3*h = -2*t + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 + 2*a - 1. Give c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*d = -26671, 67*d + 5341 = l + 64*d. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476)\/(-119)*1\/(-76).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110 (base 2) to base 7.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 3*l**4 - l**4 - 2*l**2 + l**4 + 2*l**2 + (-2*l**4 + 5*l**4 - l**4)*(5 - 4 - 2).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/190420 and -23\/360.\nAnswer: 3427560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 19*n)*(n + n + 0*n) + n**2 + 0*n + 0*n + 4*n**2 + 0*n**2 - 3*n**2 + (1 + 2*n**2 - 1)*(-2 + 1 - 1) + 2*n - n**2 - 2*n - 8*n**2 + 6*n - 6*n.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*(-1)\/2*-51. Calculate the highest common divisor of o and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -91. Suppose -5*s = -y*v - 90, -2*s + 5*v + 89 = 2*s. What is the highest common factor of s and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/2363 + -224473\/14178. Calculate the common denominator of -77\/690 and k.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 5, -13, -65, -163?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r + 276 = 0. Let o = r + -86. Suppose 2*a - o*a = -2524. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7838, -8752, -10276, -12410, -15154?\n\"Answer: -305*a**2 + a - 7534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 5120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 + 3*w + 4. What is the tens digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 80.\nAnswer: -23\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1351 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (6 + -7))\/7. Let r = -0.4 - -3.4. Sort r, y, 5.\nAnswer: y, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -431*g + 667*g - 4248 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454049?\nAnswer: 349, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3746820 and 545160?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from ojkxeeao?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 448 = 4*g, b = -5*g + 4*b - 560. Let l be g*(-1 + (-3)\/(-6)). Suppose 28*s - 734 = 1618. Calculate the highest common factor of l and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 - 70 + 3*t**2 + 2*t**4 + (4*t**2 + 0*t**2 + t**2)*(t**2 - 2*t**2 + 0*t**2) as p*t + j*t**2 + g*t**4 + f + l*t**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171608.696 rounded to the nearest 1000?\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79737241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 72274.\nAnswer: -1, 4, 72274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - -7) - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 14054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-4 - -3))*(-2)\/(-8). Let k(j) be the third derivative of -o*j**4 + 0 - 2\/3*j**3 + 1\/120*j**6 + 0*j + 1\/20*j**5 - j**2. Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 78\/52*(-4)\/18*-3. Put d, 4, 2 in decreasing order.\nAnswer: 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-23))**43*(x**(-8\/13)\/x*x)\/x*x\/(x\/x**16) assuming x is positive.\nAnswer: x**(-12670\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 plus 2314386950504?\nAnswer: 2314386950226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.4637606 to 2 decimal places.\nAnswer: -13.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14059 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j**2 - 85*j - 69. Calculate b(3).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*m + 84 = -324*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16926.7736735 + 0.282.\nAnswer: -16926.4916735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/9*l**3 + 16\/9*l**2 - 2\/9*l**4 + 0*l.\nAnswer: -2*l**2*(l - 4)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -33. Let b be ((-246)\/(-5))\/(c\/(-15)). Let i = b - 53. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-46 - -39) + (-1 - 6))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*s + 2*s + 14, s = 4*q - 14. Suppose q*y - 7 = 17. Solve 12 = 4*a - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5363341 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323 and 475.\nAnswer: 8075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1382, -5519, -12412, -22061, -34466, -49627?\nAnswer: -67544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/5 - 30*b - 2296\/5 = 0.\nAnswer: -14, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7290.216ml to litres.\nAnswer: 7.290216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.652273984 and 0.201.\nAnswer: -9.451273984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100101110011101001111011 (base 2) to base 3\nAnswer: -200122112012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 354 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*-2 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4342 - 4342.062. What is the second biggest value in 3, 2, w, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211220 (base 5) to base 12\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(52)\/(sqrt(16)\/sqrt(4))) + sqrt(325) + -3.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1207421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*q = 63 + 41 - 110, 0 = 6*q - 18 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 - 31?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 42*o + 212\/5.\nAnswer: -2*(o - 1)*(o + 106)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-39)*((-89)\/178)\/(6\/(-8))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y**2 + 59*y**2 + 55*y**2 - 3*y**2 - y**2 - 26*y**2.\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 4*m + 1. Let b = 6425 - 6433. Let l(a) = 6*a**2 + 11*a + 2. Calculate b*g(z) + 3*l(z).\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -104. Calculate the remainder when y is divided by (-4)\/(-14) - (-61)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.93 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222201 - -13?\nAnswer: 222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 3*q**2 + 4. Let a be (1\/2)\/(2\/(-12)). Calculate the smallest common multiple of l(a) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 39*r**2 - 45*r - 46. Let i be v(-1). Let f(o) = -o + 37. Let h be f(0). Is h greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**4\/4 - k**3\/3 + 2*k - 2. Let m be j(0). What is the second derivative of -6*w + 4*w + w**m + w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3138 - -3259. Calculate the least common multiple of 330 and t.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 45\/2*y**2 - 1\/4*y**4 + 5\/6*y**3 + 25*y + 2 - 1\/60*y**5. Let g(u) be the first derivative of o(u). What is g(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*w - 49*w + 9176. Solve -w*v = -55*v - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**5\/60 + c**3\/6 - c**2. Let t(z) be the first derivative of p(z). Let s(l) = 3*l**2. Calculate t(s(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 60 = t + 3*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 33*a + 193. Determine c(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -91, -168, -281, -442, -663, -956, -1333?\nAnswer: -1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*l - 19*l + 197*l to u + n*l and give n.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*o - 42 = 2*q, 0 = -5*q - 4*o - 44. Let y = -3 - q. Solve 0 = 2*m + y - 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 h when four letters picked without replacement from {m: 3, h: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:14 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*c - 26, 2*b = 4*c + 18 + 2. Let t be 16 - (-2 - (-1 - 4)). Let k(o) = 13 - o**2 - t - 7*o. Calculate k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4681501670?\nAnswer: 2, 5, 10487, 44641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2.6 (c) 1.25 (d) 4 (e) 3 (f) -4 (g) 0.717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 4:39 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65362 + 15?\nAnswer: 65410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 19 + 16. Suppose 2*p + 222 = m*r - 0*r, 4*p - 200 = -4*r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23034961?\nAnswer: 29, 337, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1031? (a) -6 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058*s - 45 = p - 1063*s, -9 = 5*p + 2*s. Let v(u) = -u**3 - 5*u**2 - 5*u - 5. Let c(r) = 2*r**2 + 2*r + 2. Suppose 4*j + 1 = -7. Give j*v(q) + p*c(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-6)*-2 + -2. Let o = 95 - 90. Sort k, 4, 0.2, o in ascending order.\nAnswer: k, 0.2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 18*l - 15 = 0. Calculate l.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/3 - 1025963*i + 30778790\/3 = 0.\nAnswer: 10, 3077879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m + 553. Let d = -22 + 22. Is q(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-p**3 + p**3 - 2*p**3 + (p**3 + p**3 + 0*p**3)*(1 - 4 + 1) + 188*p**3 - 85*p**3 - 236*p**3)*(5*p - 6*p + 5*p**2 + 3*p).\nAnswer: 695*p**5 + 278*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-545 + 549 - 2*q + q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35236*k + 41*k**2 - 13 + 17617*k + 17621*k to r + v*k**2 + s*k and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 5 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599442 = q - 4*u, u + 3*u = 5*q + 2997194. Let z = q - -92438. What is z rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 10308*t**3 + 8854572*t**2.\nAnswer: 3*t**2*(t + 1718)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.04, 20\/397, 2\/11, -64?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2660\/860 - 6\/2)\/(-2). Let z = -1 + 0. Is z less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 751*h + 6.\nAnswer: -751*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/(-6) - 5\/15. Let y(v) = -v. Let q be y(a). Suppose -13*m + 10*m = -q. Solve -2 = -m*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -37*l**2 - 174*l. Let a(i) = i + 105. Give a(o(d)).\nAnswer: -37*d**2 - 174*d + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.325 rounded to 1 dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let g(d) = 413763381*d. Calculate g(l(s)).\nAnswer: -413763381*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 308*d - 155 + (-1 + 2*d + 1)*(-1 + 5 - 3))*(0 - 2*d**4 + 0)*(1 + 0 + 0)*(-2 + 1 + 2).\nAnswer: 612*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 - x + 8. Let i be p(6). Solve -i = 2*b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose v*o = 5*c - 12800015, -2*c = -6*c + 12. Round o to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3) + (-1225)\/(-75). Suppose -5*z + 1399 = u, 0 = -z - u + 466 - 187. Let n be 3\/2*z\/f. What is the highest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 6*v**2 + 5*v + 3. Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*d - 4*d = -0*d, r + 13*d = -3 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/405 and 19\/2916.\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6360)\/132 + 53 - 3\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n)*(-451 + 205 + 199).\nAnswer: -94*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 2*x - 1, -6*t = -3*t + 5*x - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:32 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 at least 651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2030647 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 33732*o**2 + 134970*o + 168700.\nAnswer: -2*(o - 5)*(o + 1)*(o + 16870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18924 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((0 + (sqrt(1216)*-2 - sqrt(1216)) - sqrt(1216))*3*-6 - (1 + -4*(sqrt(1216) + sqrt(1216) + -1 + sqrt(1216)))*2))**2.\nAnswer: -245760*sqrt(19) + 179308096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.1 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*u**2 + 63879990*u - 25552000.\nAnswer: 5*(u + 2555200)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288 - -173. Which is greater: x or -116?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-21))\/(28\/(-49))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -673 divided by -181\nAnswer: 673\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.486 and -0.8.\nAnswer: 0.3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1) + 27\/9. Is 3 a factor of ((-90)\/20)\/(r\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15536.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/5))**(-7\/2)\/(v**(-6)\/v*v*v**(1\/9)) assuming v is positive.\nAnswer: v**(89\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368 + -298. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -7*x**4\/2 - 20*x**3 - 36*x**2 - 16*x - 2. Factor z(q).\nAnswer: -2*(q + 2)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 33 + 27. Calculate the remainder when ((-1)\/(-3))\/((-20)\/48)*g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-50)\/(-20)*(-13532)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12723)\/6*-2 + 0. Suppose -2*v + 18455 = i. Let c = -85135\/12 + v. What is the common denominator of c and -29\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 164, 3, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1405 - 2830 - 6198*i + 1425 to the form g*i + l and give g.\nAnswer: -6198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4086 divided by 10.\nAnswer: -2043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in 1, -0.5, -284, 0.11, -2.6?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 - 7*w - 18. Let y be (-24)\/20 - (8 - 1) - 12\/15. Determine l(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 142992855 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2383194 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 36 + 6 = 0. Suppose o + 11 = 2*c + 286, i = -5*o. Let q = -123 - c. What is the remainder when 29 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-15\/2))\/(u**21*u) assuming u is positive.\nAnswer: u**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 - -462. Let u = 231 - m. What is the third smallest value in 4, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 541085724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5*z**2 - 7*z + 2. Let u be 12\/(-54) - (-1850)\/(-18). Let a = u + 111. What are the prime factors of o(a)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/21 + 460*w\/21 - 454\/7.\nAnswer: -2*(w - 227)*(w - 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*z = -77*z - 91*z + 135207. Which is bigger: z or 545?\nAnswer: 545","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*l - 100*l - 108*l - 120*l.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0*p**6 + 1\/3*p**4 + 0*p**7 + 0*p**3 + p + 0 + 0*p**5 + 0*p**2 + 9\/56*p**8. What is the third derivative of h(x) wrt x?\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 + 98. Let q(y) = -10*y + m*y + 4*y + 3*y**2. Calculate q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3551 divided by -19\nAnswer: 3551\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 14. Let f = z - 20. Let b = f - -16. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 - -9 - (3 + 0). Let n be 912\/(-6)*b\/1. What is the greatest common factor of 38 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**2\/5 + 592*u - 2956\/5 = 0.\nAnswer: 1, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 0.37. Let p = 0 + 19. Let t = 20 - p. Which is the nearest to t? (a) v (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -v. Solve 0 = -v*r - 0*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*((m*m**0\/m)\/m)\/m*m)*m**(1\/16)\/m*(m**(1\/5)\/m)\/m**(3\/8))**(-29))**(3\/38) assuming m is positive.\nAnswer: m**(7743\/3040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, k: 2}. What is prob of picking 1 k and 1 y?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.4 + -36.4. Let m(j) = j. Let t be m(1). Is b < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -694\/9 or -78?\nAnswer: -694\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 3 + 3 = 0. Factor b - 1\/3*v**3 - 2\/3*v**2 - 1\/3*v.\nAnswer: -v*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 11520*i**2 - 487809*i - 5135886.\nAnswer: 3*(i - 3882)*(i + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2 + 0 - 3*g**2 + 82535947*g - 82535949*g. Let h(i) = 48*i**2 + 33*i + 33. Suppose -33 = 2*n - 3*n. Calculate n*o(d) + 2*h(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22951929 divided by 5\nAnswer: 22951929\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172767824?\nAnswer: 2, 157, 68777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/1 - (-25)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/10397 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7799 is divided by 7799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*-3*4)\/(sqrt(88)\/(sqrt(11)*1)))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 5. What is the least common multiple of 2*4*3\/g and 5\/(3 + 2) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1)\/(-4)*-6. Suppose 84*v = 83*v - 54. Let x = 59 + v. Put p, x, 1 in increasing order.\nAnswer: p, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68708*q**3 - 116658*q**3 + 23929*q**3.\nAnswer: -161437*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 7225*z**3 + 81 - 7237*z**3 as x*z**3 + v*z**2 + g*z + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:08 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9123 or 2?\nAnswer: 2\/9123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 - 1 + 3*l**2 + 4*l**2)*(-20 - 8*l + 20)*(l**2 - 4*l**2 + 5*l**2).\nAnswer: -16*l**5 + 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85054 by 23.\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6400540, -12801086, -19201634, -25602184, -32002736?\n\"Answer: -w**2 - 6400543*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35121 + 35153.038. Let l = 29 - 61. Let s = l + k. What is s rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((0 - 2)*1). Let x be (6\/(-9))\/(o\/6). Suppose l - 30 = -x*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*f**3*y**3 + 9*f**3*y**2 + f**3*y + 2*y**3 + 2*y**2 wrt y?\nAnswer: -198*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/34 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4540 - 4539.9994901. What is u rounded to five decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2159780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7\/14)\/((-2)\/(-152))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13284\/(-72))\/(6\/(-8)). Let j = -26 + r. What is the greatest common factor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 + 117. Suppose 0 = -6*a + a + b*y + 3788, -2*y = 5*a - 3792. Suppose -17*u + a = -874. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.6 (b) -8 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -569.37114904.\nAnswer: -566.37114904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 11*z**2 - 19*z + 29. Let v(s) = -12*s**3 + 32*s**2 + 56*s - 88. Let c(t) = 8*q(t) + 3*v(t). Find w such that c(w) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 s when four letters picked without replacement from sssssszssszs?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 255390383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10205199997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from wnnwnwinwwwwwwndw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 3*y - 10. Let d be l(0). Let j(q) = -q**3 - 9*q**2 + 18*q + 111. Let g be j(d). What is the greatest common divisor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m - 12 + 12)*(-1 + m + 1) + 2*m**2 + 3*m**2 - 4*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37\/5 (b) 2 (c) 21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:01 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.98 + 0.68. Put -5, 1\/4, n in decreasing order.\nAnswer: 1\/4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/2 + 67*y\/2 - 63 = 0.\nAnswer: -9, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5735, -11473, -17213, -22955, -28699, -34445?\nAnswer: -40193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*j - 22 = 0, 5*j = -2*o - 3*o - 5. Is 1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-3 + 8)) + 13 + -5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -1050, -1049?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5 - 3*q**4 + 12*q**3 + 12*q**2 = 0. What is q?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:34 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202164 is divided by 168.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476307871*p**2 - 4*p**3 + 476307871*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -74*q + 7008. Calculate v(95).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 19 = s + 2*v, 2*s = -3*v - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-5)\/(-7))\/((-26)\/91)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/33? (a) 1.5 (b) 81 (c) -1\/8 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/7 - 526458*b\/7 - 2105800\/7 = 0. What is b?\nAnswer: -263225, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1478020 and 19?\nAnswer: 28082380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpmpmmpmpmmmmppmmp. What is prob of picking 1 m and 1 p?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 24*b = 22*b - 224, 0 = -5*h + 9*h - 2*b - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -632\/1045 + 1\/209. What is the closest to -2 in 0.1, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -95020546.6 and -4.\nAnswer: -95020550.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(640))\/(2*sqrt(8)*-5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/((-30030)\/335) - (8\/(-26))\/(-4).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 6*n. Let r(l) be the third derivative of 7*l**4\/24 - 429*l**2. Give j(r(o)).\nAnswer: 49*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = d - 6, 2*b - 3*b + 24 = 4*d. Suppose -3*t + 0 - 6 = 0. Let m = d - t. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d = -96*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 26*z - 25. Calculate p(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -137 - 23. Let h(p) = -p**2 + 7*p + 11. Calculate the remainder when q is divided by h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**3 + 9*r**2 + 6*r - 6. Let b(x) = x**3 + x**2 + x - 1. Suppose 3*k + 5 = p + 12, 3*k = 6. Give p*w(u) + 6*b(u).\nAnswer: -2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**3\/3 - 10367*s. Let r(c) = 5262*c. Calculate r(i(m)).\nAnswer: -10524*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 38 + 35 = 0. Determine o, given that -15*o - 74*o**3 + 23*o**t + 28*o**3 + 10 + 28*o**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5332949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1431547075 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 - 7*a - 3. Let o be s(-5). Let n(i) = i + 9. What are the prime factors of n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**28)**(1\/14)\/(t**(3\/8)*(t\/((t**(-1\/6)*t)\/t))\/t) assuming t is positive.\nAnswer: t**(35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/474 or -1?\nAnswer: 1\/474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/9, 0.17, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 20. Let d be 1*i + (-9 - -26). Solve -d = -3*z - z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21815*p + 633658 = -3178*p for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 4 - 4. Let l(n) be the first derivative of n**3\/3 - 53. Give l(g(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 + 2*h - 3*h + h.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 10*u - 2*f = -18, 0 = -u - 11*f + 75 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from anavkaavnjjjnkvakak?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/60 + m**4\/24 + m**3\/6 + 2*m**2. Let d be s(-2). Solve 3*l - d = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-10)*-5 - -445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjtjjqjqqqtqpqqtqq. Give prob of picking 2 t and 1 q.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/420 - 53*v**5\/70 + 2809*v**4\/28 - 148877*v**3\/21 + 118*v**2. Factor y(d).\nAnswer: 2*(d - 53)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 602 = -39*t + 21*t + 295*v, -2*v - 7 + 3 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4945304601 and -29.74.\nAnswer: -4945304630.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49944811783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 + 3*a**2 + a - 2. What is the remainder when b(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:57 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-90) - (-581098)\/183840. Let l = -7\/383 - t. Find the common denominator of l and (-5)\/(-15)*(-450)\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 263\/114 - 46\/57. Suppose 3*j = 2*j + 4. Determine q so that 2*q - a*q**2 + 0*q**3 + 1\/4*q**j - 3\/4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -103. Let m = 101 - f. Suppose 0 = 5*l - 2*y + 4*y - 171, m*y = -5*l + 167. What is the remainder when l is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 56. What is the biggest value in 0.3, -3\/4, -1\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337 = 42*p - 41 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(130) + (sqrt(130) - sqrt(130)*3)*5))\/(-4*sqrt(100)\/(sqrt(10) - sqrt(490) - sqrt(10))).\nAnswer: 315*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -3*d**5\/80 + 979*d**4\/24 + 653*d**3\/24 - d - 253. Let m(l) = 0. What is l?\nAnswer: -1\/3, 0, 653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:27 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17*u + 295. Let x be c(18). Let j(q) = q**3 + 12*q**2 + 14*q + 38. Let b be j(x). Solve b*z + 9 = -11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -5 (b) 5 (c) 4 (d) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 123*o + 520. Let y be x(-4). Calculate the highest common factor of 1134 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c + 6*c**2 - 14*c)*(0 - 1 + 0)*(-2 - 2 + 2).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 1, -28087?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*s + 9, 3 + 0 = -3*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882b9 (base 14) to base 10.\nAnswer: 329835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34\/(-4))\/(-5*(-1)\/(-10)). Solve -2*a - 3*g = -7*a + l, -g - 6 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.5825 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 - 6*n - 24. Let v be o(6). Let c be (v\/36)\/((8\/(-6))\/(-2)). Solve c*j - 3*y - 4 = 2*y, 0 = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 38, 33, 1 in descending order.\nAnswer: 38, 33, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 22 - 2*k + 2*k + 44*k**2 - 3*k - 42*k**2. Is l(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 3:29 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28069 (base 13) to base 2\nAnswer: 10010010000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*u + 237*u - 352*u.\nAnswer: 113*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 16*o**2 + 22. List the prime factors of m(-16).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8157*f + 81698. Give p(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*s = 2*s - 2*s - 495 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)\/(i*i**(-1\/4)*i*i))\/(i**2*i*i*((i*i\/(i*(i**(-2\/5)\/i*i)\/i))\/i)\/i))**(11\/3) assuming i is positive.\nAnswer: i**(-1111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7880 and 1492.\nAnswer: 11756960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Suppose l + 2 = h. What is the second derivative of -133*f**4 - 4*f + 0*f + 130*f**h wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -309. Let c = g + -40. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*j**2 + 15*j**2 - 160*j**2.\nAnswer: -345*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -2*y. Let p be 3*y*1\/(-1). Solve 2*h - 19 = -p*x, x + h - 2 = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781630479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 2*k**2 + 2*k**3 + 2*k - k**3 - 4*k + 4*k + k**3 + (2*k - 7*k + 3*k)*(-2*k**2 + 4 - 4).\nAnswer: 6*k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h - 40*h - 73*h = -54912. Do 2472\/7 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2\/7 (c) -32911\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29473 divided by -124\nAnswer: -29473\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 1\/2 (c) 4 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 82480.494 and 4.9407.\nAnswer: 82485.4347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2. Let g(a) = 2*a + a - 10 - 7*a + 10*a - 4*a. What is g(n(m))?\nAnswer: -8*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 5694b5?\nAnswer: 5694b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(0 + (-1 + sqrt(8)\/sqrt(4))**2) + (-2*sqrt(8)\/sqrt(4) + sqrt(72)\/sqrt(4))**2).\nAnswer: -34 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*u + 774, 3*u - 5*g = 6*u - 460. What are the prime factors of u?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11534, 32688, 53848, 75014?\n\"Answer: 3*k**2 + 21145*k - 9614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1917854982 to the nearest integer?\nAnswer: 43793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 407, 920, 1629, 2528?\nAnswer: 3611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) - 500\/(-80). Suppose -f*v - 17 = -52. Sort 2, v, 3 in descending order.\nAnswer: v, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let z = 8366 + -8363. Which is the closest to 1\/4? (a) z (b) -1.6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -565181096.39912 - -565150335. Let b = z - -30763. Let q = b + -1.6. Round q to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -458, -458, -468, -494, -542, -618?\n\"Answer: -q**3 + q**2 + 4*q - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(156) + -1*sqrt(156)*-5 - sqrt(156) - sqrt(156)) + sqrt(156))\/(sqrt(432)*-2) - (3*sqrt(52) + sqrt(13) + (sqrt(156)*-2)\/sqrt(12))*1))**2.\nAnswer: 325*sqrt(13)\/6 + 58525\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7752, -14930, -22108, -29286, -36464?\nAnswer: -43642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 660, 3050, 7042, 12642, 19856, 28690, 39150?\nAnswer: 51242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/5)*k)\/(k**2\/k)*k**(-2\/9)*k*k**7*((k*k*k**(1\/2)*k*k*k)\/(k\/k**(1\/3)))\/(k**1*k)**(3\/10) assuming k is positive.\nAnswer: k**(245\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - d = -11*o + 56, -5*o - 5*d = -140. Let g(w) = w**2 - w. Let k(y) = -5*y**2 + 7*y. Give o*g(f) + 4*k(f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -281034?\nAnswer: 281036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5480*0.2.\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, x: 1, j: 1, y: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -43. Calculate the lowest common multiple of l and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - l + 4 = 0, 0 = -25*l + 20*l + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 6 - 3) + (-72)\/(-33). Which is the nearest to 0.1? (a) 0.4 (b) u (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**14)\/(z*z*z\/z**(-2\/15)))**(-1\/84))**(-22) assuming z is positive.\nAnswer: z**(979\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1150 and 230.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let m(r) = -107*r + 42 + 60*r + 45*r. Give m(z(a)).\nAnswer: -2*a**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = y, 7362*y - 7364*y - 44 = -2*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:46 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*y + y + 882, 2 = -y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in 4, -0.847, -1, -39\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/27*-1 + 1. Let n(w) = -4*w**3 + 16*w**2 + w + 4. Let f be n(0). Factor 2\/9*p**f + 2\/9 + 2\/9*p**5 + 2\/9*p - z*p**2 - 4\/9*p**3.\nAnswer: 2*(p - 1)**2*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-28))\/((-240)\/140).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 179.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 23*h - 18496. Suppose 0*n = 5*n - 4*c - 1378, -4*c + h = 4*n. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35175801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 18*w**2 + 19*w - 23. Let y be z(17). Suppose y*s = -4*l + 15*s + 124, -5*l + 175 = -s. Calculate the remainder when 321 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 53*p**3 + 2*p**2 - 223*p + 430. Determine q(2).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c - 2*j + 4 = -64*c, -2*c = -2*j + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 1:08 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - a**2 - 2*a + 1. Let r be n(-2). Let v(p) = -p**3 - 6*p**2 + 10. What is the units digit of v(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14416 - 3?\nAnswer: -14422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(450\/(-54)) + 3157\/(-55).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99351468 by -36.\nAnswer: -2759763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2152, 5.\nAnswer: -4, 0, 5, 2152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l - 51 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 3*a - 4*a)*((a - 3*a + 0*a)*(3 - 1 + 0) - 544*a - 14*a - 65*a) to the form r*a + t + i*a**2 and give i.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32443294 - -6483294. What is f rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 246835 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/60 - 5*t**4\/24 + 3*t**2. Calculate the lowest common multiple of a(7) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*s + 79*s + 44*s.\nAnswer: 226*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*r + 63. What is the units digit of ((-16)\/(-3))\/((-8)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y**3 - 8*y**2 - 9*y**3 + 13*y**3 wrt y?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*g = -10, 5*n = 5*g - 20 - 5. Suppose -5*p + n + 85 = 0. Suppose 4*i + 4*q + p = 3*i, 28 = i - 5*q. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -59, -147, -311, -575, -963, -1499?\n\"Answer: -4*y**3 - 2*y**2 - 2*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1184 + -0.2816. Which is the second smallest value? (a) -6 (b) -0.5 (c) y (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -3\/7, 0.06112, -0.5?\nAnswer: 0.06112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -574 + 562.34. Let q = m - -6.85. Let f = 5 + q. What is f rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 140, -2, -3, 35 in ascending order.\nAnswer: -3, -2, 3, 35, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v**2. Let z(b) = 1 + 23*b - 1 - 45*b + 19*b. What is z(j(x))?\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1396 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 13*a + 4*f - 8 = 0, 0 = a + 2*f + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12. Are k and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15388 and 1340.\nAnswer: 5154980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77531\/480 - -1617\/10. Find the common denominator of h and 1\/(-24)*(-1625)\/50.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 594?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q\/((q*q**(-3)*q)\/q)*q**(5\/3)\/(q\/q**(-3)))**(-10\/9) assuming q is positive.\nAnswer: q**(100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let w = 9 - 3. Let x(j) = -j. Let b(r) = 3*r. Let k(u) = w*b(u) + 17*x(u). Determine k(s(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1510 - 1508. Put j, 0.5, 1\/6, 22 in decreasing order.\nAnswer: 22, j, 0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -745246000 rounded to the nearest one million?\nAnswer: -745000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (1 + 2 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-2 - -17) - 37 - (-3 + 0).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2494.2 - -2494. Which is the third biggest value? (a) j (b) 0.1 (c) 2 (d) 357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-59)\/(9\/(-3) - -2). Suppose 5*f = l + 6. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800\/(-24) + 32 + (2 - 0\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 23 - 43 = -2*l, 3*l - 39 = -2*z. Let c(p) = 2*p**2 + 6*p + 1. Let s be c(-4). Calculate the highest common factor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 7*t**2 + 6*t + 3. Let a be k(6). Factor 3*c**2 + 2*c**3 - 1 + 2*c**3 + 0 - 2*c**4 + c - 5*c**a.\nAnswer: -(c - 1)*(c + 1)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51158722 by 463.\nAnswer: 110494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71598740 is divided by 104.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -20 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/5)))**(3\/14)*((z\/(z**(-2\/5)\/z)*z*z*z)\/z*z)**(1\/2)*((z*z\/(z*z**3))\/(z*z**(-9)))\/(z*z**(5\/2)*z*z*z**(-6)*z) assuming z is positive.\nAnswer: z**(577\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 divided by -478?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 222, 450, 768, 1182, 1698, 2322, 3060?\nAnswer: 3918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 29, -3, 24, -99, 4 in decreasing order.\nAnswer: 29, 24, 10, 4, 0, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -34, 2, 82, 218, 422, 706, 1082?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 22, 32 in descending order.\nAnswer: 32, 22, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5060 - -17052. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n + 528. Give i(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4007686 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 44. Let o be h(16). Let c be 4\/8*(-3 - (o + 75)). Is -37 not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 277 = -803. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k. Let d(j) = -j**2 - 8*j + 11. Let o be d(-9). Sort o, -4, k in decreasing order.\nAnswer: o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + -0.51. Let u = 2 - 2.05. Let p = u + d. What is the smallest value in 3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14348 is divided by 205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -87*p + 94*p - 11 + 131*p**3 - 66*p**3 + 409*p**3 + 3. Is 34 a factor of u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:38 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02126 - 0.021251441. What is m rounded to seven decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37254 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 1041*a**2 + 23*a + 1041*a**2 + 3 - 3 - 2*a**3 + (-4*a - 4*a + 7*a)*(0 + a**2 + 0) to x*a**3 + k + p*a + q*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -29. Let h(i) = -6*i**3 - 31*i. Let b(w) = -w**3 - 6*w - 20. Let x(f) = f**3 + 6*f + 25. Let m(y) = 5*b(y) + 4*x(y). Determine v*h(o) - 11*m(o).\nAnswer: -o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6071247.\nAnswer: 3, 7, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:57 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15746, -15751, -15756, -15761, -15766?\nAnswer: -15771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + (-4459)\/28. Let l = 248 + n. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150 - -16?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m = -394, 2*k - 161 = 4*k + 3*m. Let j = -89 - k. Do -3 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 39*i**2 - 20*i**2 - 30*i**2 + 15*i.\nAnswer: -11*i**2 + 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -309. Let l = 8220 + -147877\/18. Find the common denominator of l and 2 - (k\/(-18) - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + -114 - (41 + -23).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 657134120 and -3.\nAnswer: 657134117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/2 and 63\/415988942.\nAnswer: 415988942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32749380*v**5 - v**4 + 28714855*v**2.\nAnswer: 1964962800*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/2)\/(c\/c**(-2\/27))*(c\/(c*c**2))**19 assuming c is positive.\nAnswer: c**(-2029\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/3)\/4*(-3)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*p + 3*u - 8, 0 = -2*p - u + 12. Let b be 19\/(-1)*(-9)\/3. Suppose 4*t - t = b. Solve p*q + q - t = x, x - 4*q = -15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -4*h - 18*p + 6986, -5*p - 30 = 0. Sort h, -5, -1.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54064 (base 11) to base 10.\nAnswer: 78599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -51, -79, -101?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -52105037, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0277 and 54.9.\nAnswer: 1.52073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0518 plus 191.867?\nAnswer: 191.8152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*o*z**4 - 261*o*z**3 + 2*o*z**2 - 4*z**3 + 79316*z**2 wrt z.\nAnswer: -576*o*z - 1566*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/3 + 3866*v\/3 - 1289 = 0?\nAnswer: -3867, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - r - 2*r)*(2 - 2 - r) - 174*r + 346*r - 174*r + 1 - 5*r**2 to o*r**2 + s*r + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -35173.7631 to the nearest 10.\nAnswer: -35170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -133, -137, -141, -145?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3 - 4*q + 2*q + (0 + 2 + 0)*(-2*q - 18*q + 2*q) + 0*q - 3*q + q.\nAnswer: -40*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.5. Let m = -2.63768 - -2.83768. Which is the biggest value? (a) m (b) -52 (c) 3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8 + 12 = 0. Find x, given that 3*x**3 - 19*x**2 + 3*x**3 + 7*x - x**h + 3 + 5*x**4 - x**3 = 0.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*-5.555\nAnswer: -111.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*n + 808 = 695*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1275241 or -1?\nAnswer: -3\/1275241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -15\/8, 0.5, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172948*l**3*m**2 + 2*l**3*m + 96*l**3 + 23*l*m**4 - 8428*m wrt m.\nAnswer: -345896*l**3 + 276*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*o - 990*o + 493*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (498\/(-4648))\/(15\/(-10)*(-2)\/(-52))?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 4*p - 3*p)*(14*p + 1082*p**3 - 47*p - 1081*p**3) + 3 - 4*p**4 - 3 as s + l*p**4 + f*p + y*p**3 + t*p**2 and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {w: 7, g: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 15*j**2 + 1. Let p be d(-15). Which is smaller: p or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:58 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (1 - -2) - -3. Suppose w*s - 126 = 2*s. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 1. Suppose -4*l + 28 - 4 = 0. Let a(p) be the second derivative of -p**4\/12 + 7*p**3\/6 - 5*p**2\/2 - 2*p. Let j be a(l). What is z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 68. What is o(0)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/3 - 1022*v\/3 + 4120\/3 = 0 for v.\nAnswer: -515, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7544224830 from -96.\nAnswer: 7544224734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -201700 (base 8) in base 3?\nAnswer: -10101012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 158307*c + 5068896.\nAnswer: -3*(c - 52801)*(c + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 10*m**2 - 15*m - 5. List the prime factors of a(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55590473927 + 55590474434.99999657. Let g = f + -508. What is g rounded to seven dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0.3 (c) 14\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 5*u + 1. Let a(t) be the first derivative of -t**2\/2 - 11*t - 3. Let g be a(-6). Determine z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 74 and 60292\/823 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -19*v + 34. Let i be y(4). Let p be i\/(-132) - (-4)\/22. Solve 0*t**2 + p*t**3 + 0*t + 1\/2*t**5 + 0 - t**4 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.7*-7.59.\nAnswer: -453.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71537 - 29334. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((-2*sqrt(252)*5)\/sqrt(4) + -1)*-1 + -2))**2 + 2.\nAnswer: -960*sqrt(7) + 100818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35691\/10 - -3563. Find the common denominator of -19\/25 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133103310233 (base 4) to base 14\nAnswer: 11391b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 11*p - 12. Let y be x(-10). Let m = -8 - y. Solve -4*q - m = -7*q - 2*b, 2*q = 2*b - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 617? (a) 0.012 (b) -0.1 (c) 2\/3 (d) 0.1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/(-30) - 9\/6. What is the nearest to 1.1 in 0, 5, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2571222*u**4 - 2*u**3 - u**2 - 341*u - 1378 wrt u.\nAnswer: -61709328*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1469\/2 + 736. Suppose 3\/2*l + l**2 - 1 - n*l**3 = 0. What is l?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 37*s + 381. Suppose w + 4 = 2*o + 13, w = -2*o + 25. List the prime factors of z(w).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - (-11 - 2) - (32 + -26)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45394 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377906139 by 4771.\nAnswer: 79209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.37922 and -432355?\nAnswer: 432354.62078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2130298, 4260603, 6390908, 8521213?\n\"Answer: 2130305*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51140.05us to nanoseconds.\nAnswer: 51140050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + 3*t**2 - 3*t - 1. Let u be z(-4). Suppose -3*q = 3*g - 1296, 4*g - 1298 = 2*q - 5*q. Let h = u + q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - c**5 - c**3 + (0 - 4*c**2 + 0)*(3*c**3 + 3*c**3 - 5*c**3) + (-3*c**2 - 3*c**2 + 4*c**2)*(-233*c**3 + 28*c**2 - 58*c**2 + 31*c**2).\nAnswer: 461*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -3*p - 0*z, 4*p - 26 = -2*z. Suppose 0 = d - 3 + 1, u - 3*d + 30 = 0. Let b be 2\/3*u\/(-16). Put b, p, -1 in descending order.\nAnswer: p, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 1239.\nAnswer: 20\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 185 - 209 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -6. Let f be (0 - 1)\/((-6)\/l). Let j be (2 + 1)\/(-3 + 4). Sort f, j, -3 in ascending order.\nAnswer: -3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -43, -88, -127, -148?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -3\/5 (c) -28 (d) 10 (e) 5.9 (f) -0.2 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*q**2 + 165*q - 190*q**2 + 96*q**2 - 62*q + 156*q in the form a + j*q**2 + y*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 + -0.35. Let z = -0.05 + i. Which is the smallest value? (a) -2 (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3847357 to the nearest one thousand.\nAnswer: 3847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6089, -9952, -13815, -17678, -21541, -25404?\n\"Answer: -3863*i - 2226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -115. Solve -v = -10*l + 5*l + r, 4*r = 3*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2678*c**6 - 5967*c**2 + c**3 + 125615 - c**3 - 125615 wrt c.\nAnswer: -321360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 142*i - 144*i = -120, -2*q - 5*i = -288 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + 53. List the prime factors of y.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/5 + m**4\/2 - m**3 - 2*m**2 - 7*m. Find h such that q(h) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 120. Suppose 5*c - 80 = 5*b - 590, -5*b - q*c = -546. Calculate the greatest common factor of b and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/29? (a) -0.4 (b) 12\/203 (c) -7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6) - (-405)\/(-243)*(-3)\/(-3). Sort -34, 1\/4, 0, -0.4, q.\nAnswer: -34, -0.4, q, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4319711 to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -799412000141321\/3505 - -228077622649. Let l = 19185 - u. Let x = 164723\/42060 + l. Find the common denominator of x and -97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*u - 1814 = 4*g, 728 = -3*u - 3*g + 785 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(200) - (sqrt(200) - (sqrt(200)*4 - sqrt(200)))) + 2 + sqrt(200)*1)**2.\nAnswer: 400*sqrt(2) + 20004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 290 = 5*y, 4*z - 244 = 7*y - 3*y. Let a = y + 19. Is a\/2*(2 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -95, -35\/51, 2.11?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381867.\nAnswer: 3, 127289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/8, 177, 1\/9, 2\/23, -7\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9823 - 6811. Suppose -2*y + 5*q + 2021 = 0, 0*q + p = 3*y - q. Is 42 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(2\/25)*((q**(5\/6)\/q)\/q)\/(q*q**(4\/3)\/q*q))**36 assuming q is positive.\nAnswer: q**(-3078\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1023371 from 5.\nAnswer: -1023366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.471138ml?\nAnswer: 0.009471138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*z + 2 = 0, -a - 5*z + 8 + 1 = 0. Factor 9 + 3*q**5 - 29*q**3 + 5*q**3 - 33*q + q**4 + 6*q**3 - 4*q**a + 42*q**2.\nAnswer: 3*(q - 1)**4*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + z**4)*(486 + 41 + 101).\nAnswer: 628*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14328*g**3 + 11699359*g**2?\nAnswer: -85968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114696453 to the nearest integer?\nAnswer: 33387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - q + 623283 = -494180, 3*h = -2*q + 838101. Suppose 4*z - h = -19365. Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -3, 0.06, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-13)\/4 - -5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of -7 + ((-1002)\/18)\/(3\/(-81))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/8 + 129*c\/8 - 695\/4 = 0. What is c?\nAnswer: -139, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by -5194.\nAnswer: -87\/2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 779b3 (base 12) in base 2?\nAnswer: 100110101111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 514 + 728 = 0. Suppose 2577 = 14*g - 335. Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1373 divide 7641523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 4*u + 3. Let p be i(4). What is the units digit of 168\/6 + 3\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01937 times -0.00126\nAnswer: -0.0000244062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5976 is divided by 399.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 + 7*q - 3. Give j(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*f = -264*f - 555*n - 559, -2*n = 2*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 662 + -668 - (-1 + 3 + -75 - 5 - -2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 5. Let u(c) = 8*c - 6. Let h be (48\/(-14) - -3) + (-195)\/35. Let k(o) = -o - 2. Let z be k(5). What is h*u(q) + z*n(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/4 - 12057*f**3 - 35937525*f**2\/4 - 3373716073*f\/2 = 0 for f.\nAnswer: -47474, -377, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**6\/60 + 9*b**5\/40 - b**4\/8 - 37*b**3\/12 - 6*b**2 - 122*b. Factor g(q).\nAnswer: -(q - 8)*(q - 3)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -4*g - 24. Calculate the lowest common multiple of g and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 365 - 349. Suppose 0 = -k - i + 11, 7*k = 3*k + 2*i + 20. What is the remainder when x is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2288 + -1255. Let i = j + -1632. Let t be i*601 + -4 + 3. What is t rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -18, -10, 16, 66, 146, 262?\n\"Answer: l**3 - 11*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -194. Let o(q) = q - 3. What is the remainder when 435\/j + 2\/20 is divided by o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 74. Let g be (7 - 0)\/((o + -4)*1). Sort g, 4, -5 in decreasing order.\nAnswer: 4, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 3:43 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/74226 and 37\/973.\nAnswer: 519582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 + -102. Suppose -49*j + 51*j = -10. Suppose -3*s + s = -8. Which is the second biggest value? (a) s (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65561985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 + 2*c + 1. Let w(q) = -6*q - 1. Let i(r) = r**2 + 4*r - 6. Let g be i(-5). Let t be w(g). What are the prime factors of p(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -200201 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 smaller than 4031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2057*t**2*y**3 + t*y**3 - 66*t + 10 wrt t?\nAnswer: -4114*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24983 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: Let f(m) = m**3 + 2. What is f(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4285214, 4285214, 4285224, 4285250, 4285298, 4285374, 4285484?\n\"Answer: w**3 - w**2 - 4*w + 4285218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t - 52 + 319*t + 44*t - 23*t + 128*t wrt t?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/27)\/u*(u\/u**(-5))\/u assuming u is positive.\nAnswer: u**(107\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)\/h)**(1\/5))**(-28)*((h**1)**(-28))**(13\/2) assuming h is positive.\nAnswer: h**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -431b (base 13) to base 9\nAnswer: -13704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 0*m)*(-2*m - m + m)*(2*m**2 - 2*m**2 - 5*m**2) + 0*m**4 + 4*m**4 - 6*m**4.\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1667898 (base 10) to base 15.\nAnswer: 22e2d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g - 67. Let d be o(10). Solve -4*i - t = -i + d, 3*t + 24 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1207666 or -1207620?\nAnswer: -1207666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 0*n**4 + 6*n**4 + (-3*n**2 + 2*n**2 + 3*n**2)*(-3 + 4 + 1)*(-11*n - 9 + 9)*(-27 + 27 + 4*n)*(2 - 3 + 5).\nAnswer: -702*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 + 5*t**3 + 5*t**2 + 14*t + 6. Let r be f(-14). Does 13 divide (r\/(-8))\/(3\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -82, -278, -656, -1276, -2198?\nAnswer: -3482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -2288?\nAnswer: 2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 38 = 3*q, -q = 4*k - 6*k - 13. Let t(a) = -42*a - 196. Let i be t(-5). Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 876 and 22.\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5507144 divided by -4.\nAnswer: -1376786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-12) - 51\/(-306)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10 + -2)*-90. Suppose 8*u - 4*u - j = 0. Suppose -3*o - 37 = -2*i, i + 27*o - 23*o - 2 = 0. Calculate the remainder when u is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (190 - 186) + (5 - (7 - 7)) + 2 + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 34*z**2 + 60*z**2.\nAnswer: 99*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -340, -525, -708, -889?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-14)*x\/(x**18*x)*x)\/(x*x*x*x**(1\/5)*x*x*x)**44 assuming x is positive.\nAnswer: x**(-1514\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 15?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 11 = -8*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 425971057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 172*w = 19*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 1, z: 2, g: 2}. Give prob of picking 2 g and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110051564.\nAnswer: 2, 7, 61, 64433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6459625 and 775.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.12, -2, 0 in ascending order.\nAnswer: -2, -0.3, 0, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*m*n**2 - 15764*c**3*q**3 + 3*c**2*m*n*q**3 - 2*c*m*n*q**3 - 26*c*m*q**3 - m*n**2*q**2 - 2*m*q wrt c.\nAnswer: -6*m*n**2 - 94584*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/(-20) - (-2)\/(-10). Let w be (-2)\/(-8) + 9\/12. What is the units digit of 2 + w*(c - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92158 and -0.04.\nAnswer: -92158.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/4 - 461*m. Suppose -4 = -5*r + r. Let y(x) = -x - 1. Let a(n) = -10*n - 8. Let p(o) = r*a(o) - 8*y(o). Give i(p(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 - 3*m + 4. Let y be z(2). What is the third smallest value in 5, y, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 13.30041 meters?\nAnswer: 0.01330041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let u(r) = r - 9. Let p(i) = 2*i - 18. Let a(q) = -3*p(q) + 5*u(q). Let l be a(6). Let m(w) = 0*w - w + l*w + 0*w. Determine m(b(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.291664 centuries to years.\nAnswer: 629.1664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(704)*5)**2 - (0 + sqrt(396) + -2)*2.\nAnswer: -12*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283270816.\nAnswer: 2, 37, 419, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 - 5*f + 4. Let h be y(5). Suppose 41 + 179 = h*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 0 - (8 + -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(280\/(-12156)) + 7\/70. Let z = w + -205. What is the highest common factor of 27 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 o when four letters picked without replacement from ooiororriitaairoo?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/9? (a) -2 (b) 5 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -12 + (5 - 3) - (-11 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-12) - (1 - 2\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 104505753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = t + 65. Suppose 0 = 5*c - t*i - 140, 0*c = -3*c + 4*i + 81. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 (base 9) in base 16?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8614 + 8701. Calculate the remainder when h is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Suppose 2 = 3*i + h - 14, 3*i - 3*h = 12. Which is the second biggest value? (a) -2 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46478 is divided by 3872.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -3246 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -168.6 and -0.04?\nAnswer: 6.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from ksszpkkpsq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 292457115*i - 226359036?\nAnswer: 292457115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1460 and -0.3.\nAnswer: 1459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5 - 1250*m**4 - 6284*m**3 - 10072*m**2 - 5040*m = 0.\nAnswer: -2, -1, 0, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 97\/3. Does -2\/7 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119003452 and 5?\nAnswer: 595017260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 27472 = 4*h - 91480, -l = 2*h - 32010. What is the remainder when h is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from qhqqfklkllq.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*o + 18 = -n, 5*o = 2*n - 17. Let k(l) = -2*l + 46. Let t(s) = 2. Let m(b) = n*k(b) - 2*t(b). Let w be m(10). Is w < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 392960 = 0. Suppose w + 76034 = 3*c. Suppose -3*p - 578458 = c. What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 131 (b) -0.4 (c) 4 (d) 0.03 (e) -1\/3 (f) 23\/4 (g) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7*t**2 - t**3 - 2 - 2*t**3 + t**3 in the form a*t**3 + w*t + j*t**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -7599847 and -7599845 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + a + 16 = 44, 0 = -4*a + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2)\/(92 + 0 + 2).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 6271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 52*h**4 - 56*h**3.\nAnswer: 4*h**3*(h - 14)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -112*h - 1\/3*h**3 - 2 + 241\/4*h**4 + 0*h**2. What is the third derivative of v(i) wrt i?\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 - 12 = 0. Let b = -1 + 1. Let q = 15 + b. What is the remainder when q is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)*(-6)\/2. Suppose 2*x - 8 = 0, -5*g + 0*x = -q*x - 13. Suppose -3*d + 21 = -3*h, 0 = -4*d + 5*d + g*h + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*3)\/(100 + -94)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 2:34 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 290\/4737, 5.\nAnswer: -3, 290\/4737, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*j - 96, 0 = o - 4*o - 4*j + 79. Suppose 49*z - 44*z = o. Let b(c) = -c**2 + 7*c - 7. What is b(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 46, 57, 70, 85, 102, 121?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 16 = -2*z, 7*z = 11*z - 5*o + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2595 (b) 1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v + 71. Let d be n(-2). What is the greatest common divisor of d and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-625))\/(2\/2 + 1). Let r = 2149\/375 - y. Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 179666 = 4*m + 179705, -2*o - 4*m - 34 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -69.8. Is -7 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/217*35\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 3:34 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 16905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6145 + 7566. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/18 and 422\/60 + (-14)\/14?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/165 and 62\/555.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5))\/((-2)\/5). Let p be 0\/(-2) - (i + 2). Sort -4, -3, p in increasing order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 2, l: 6, z: 1}. What is prob of picking 1 l and 2 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6)*(-20)\/(-40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f + 4*r, f - r - 2 + 3 = 0. Is 252\/7 + f\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1189 divided by 169794.\nAnswer: 1189\/169794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1398*t + 1404*t + 175280 - 2800*t.\nAnswer: 2*t + 175280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*d - 123 = 0, -199*b + 200*b + 13 = -5*d. Solve -b*j = -36*j - 84 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21624*b**2 + b - 7347*b**2 - 7180*b**2 - 7257*b**2 + 160 - b**3 = 0. What is b?\nAnswer: -160, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 + 220*t - 811. Let g be i(4). Solve -2*f + 3*f - 20 = g*s, 2*s + 2*f - 4 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(4\/5)\/a)*a*a\/(((a\/(a\/a**(1\/6)))\/a)\/a))\/(a*a**2\/a*a*a*a)**(-1\/11) assuming a is positive.\nAnswer: a**(1811\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -502*r**3 + 94*r**2 + 2*r wrt r?\nAnswer: -3012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -150, -146, -110, -30, 106, 310, 594?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3543629 is divided by 474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503337375 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12822617 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220*v**3*z + 1166233*v**3 - 56404043*v**2*z - 4*v*z wrt v?\nAnswer: -1320*z + 6997398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 3*g**2 - 3. Suppose 0 = -4*m + 8 - 0. Suppose m*d + 9 = -d. Let a(h) = -h**3 - h**2 - 1. Calculate d*a(p) + r(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -145397?\nAnswer: -16\/145397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 978.9 - 977. Are 3 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75433.\nAnswer: 241, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 5. Let t(b) be the first derivative of 2*b**2 + 6*b - 44. Determine -5*t(a) - 6*u(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 445, 466, 487, 508, 529?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f + 23*f + 73 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 2 e when four letters picked without replacement from {n: 6, e: 6, w: 6, i: 1, o: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 361456, 723028, 1084716, 1446520, 1808440?\n\"Answer: 58*n**2 + 361398*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -848 * 18\nAnswer: -15264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248919?\nAnswer: 3, 11, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqqsiifqviqq. Give prob of picking 1 u and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*d + 111. What is h in -3*h**3 - 3*h**4 - 20*h - d*h + 38*h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-238*c + 154*c + 135*c)*(3 + c - 3)*(5 - 1 - 2 + (-6 + 1 + 3)*(0 - 4 + 2)) in the form x*c + a + t*c**2 and give t.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:41 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -2*l**3 - 899*l. Let s(j) = -j**2 - 21 + 21 - 6*j**2. Determine u(s(p)).\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/11 + 10336512\/352. Suppose 4*x - c = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, 5, -3, -389?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/7308 and 73\/38628.\nAnswer: 270396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 5*t**6\/216 + 7*t**5\/72 + 5*t**4\/36 + 41*t**3\/6 + 31*t. Let f(z) be the second derivative of m(z). Factor f(y).\nAnswer: 5*(y + 1)*(5*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 68*l**2 - 351*l - 23. Let r be (6\/8)\/(1\/(-8)). Let i = r - -20. Calculate the remainder when d(-15) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 25904*d - 25915*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602281 is divided by 1588?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 15 = 0. Suppose 11 = -w*s - 22. Let u be (-2)\/s - 8\/44. Put 1, -1, u in increasing order.\nAnswer: -1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -3*v**5\/20 - v**4\/4 - 7*v. Factor f(q).\nAnswer: -3*q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 88. Let k be 0 - 0\/(0 + 2). Let g(j) = -j - 2. Let u be g(-6). Solve 3*z + k*z + 21 = u*h, o*z - 9 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/4 + s**3\/2 - s**2 - 2*s - 3. What is d(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 6*z**3 - 19*z + 0*z**2 - 2 + 17*z - z**2 - 5*z**3. Let s(x) = 65*x**3 + 10*x**2 - 25*x + 30. Let w(a) = 30*k(a) + s(a). Factor w(o).\nAnswer: 5*(o - 2)*(o + 1)*(7*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*n - 548 = 0, j - 78 = 2*n + 42. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/5)))\/(q*q*q**(3\/8)*q*q) assuming q is positive.\nAnswer: q**(-191\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359031063*l**3 + 414589038 wrt l?\nAnswer: 1077093189*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/9 + 6154*f**3\/9 - 24506*f**2\/9 - 79862*f\/3 - 36876 = 0. Calculate f.\nAnswer: -3, -2, 9, 3073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 5, -3, 0.217, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11 - (-28 - -9 - -4 - 3)) + -32\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*-1 + -18 + 7. Let h = -11 - d. Solve -5*z - 14 = -h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 588*l*u**4 - 155*l*u**3 - l*u**2 - 354*l*u + 5*u**2 + 8 wrt u.\nAnswer: 14112*l*u - 930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 232?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3*o + 5. Let y be w(-6). Solve -2*t = -5*h + y, 2 = -5*h - 2*t + 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 9*r**2 + r + 3. Suppose -5*q + 3*q = -18. Calculate n(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glzg. Give prob of sequence gz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27*i - 1558. Determine q(-58).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-96) + (-2)\/(-6). Let w = -599\/32 + 635\/32. Factor -p*m - 3\/8 - 3\/8*m**3 - w*m**2.\nAnswer: -3*(m + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312202 (base 4) to base 12.\nAnswer: 202a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -86. Calculate the greatest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*k - 2*l, 0 = -k + l - 0*l. Suppose 5*f + 6*a - k*a = 5, 0 = 3*f + 3*a + 3. Let w = -2743.9 - -2744. Is f less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 - 289. Which is the fourth biggest value? (a) -1\/4 (b) 2\/11 (c) t (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26 + 11 + c + 16 + 9 wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 248. Let i(t) = -9315 + 9315 + 14*t - 18*t. Give p(i(h)).\nAnswer: -20*h + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - -2.00815052.\nAnswer: 14.00815052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*d - 16944 = 34*d + 177*d - 499*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 3*c - 40 = -9*l, -3*l - c - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2775384 and 9096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = -5*h. Calculate the remainder when 2*(-1)\/6 + (-145)\/h is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 4*s**2. Let p(t) be the third derivative of -1\/20*t**5 + 0*t + 3*t**2 + 0 - 1\/30*t**6 + 0*t**3 + 0*t**4. Give 3*m(x) - 4*p(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, j: 6, w: 5, t: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*r = -3*x - 22, -r = -3*x + 15. What is the highest common divisor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyybbybbb. What is prob of picking 1 b and 1 y?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 97, 197, 297, 397, 497?\n\"Answer: 100*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -g, 6 = -19*g + 23*g - 5*b. Let i(x) be the second derivative of 1\/6*x**g + x**2 + 0 - 2\/3*x**3 - 5*x. What is c in i(c) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = 4*n - 3872. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) -1\/2 (c) -2\/15 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.886592 litres?\nAnswer: 886.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001223268 to 5 dps.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002010222122201 - 120?\nAnswer: -1002010222200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -320*o**2 - 333*o**2 - 137*o**3 - 2 - 8*o - 328*o**2 + 981*o**2 in the form t + q*o + u*o**2 + p*o**3 and give p.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let w(q) be the second derivative of q**3\/2 - 2*q**2 - q. Calculate 2*p(f) - w(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 769415702?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 34*u. Let h(t) be the third derivative of t**5\/20 - 30*t**2 + t. Calculate h(m(r)).\nAnswer: 3468*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m = 35*m + 820495. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4140135, -4140142, -4140149, -4140156, -4140163?\nAnswer: -4140170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.61 + 0.39. Let r = 8 - t. Let x = -9 - r. Is -4 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*o - 91 = 561, -a + 661 = -5*o. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.381 - 0.281. Let n = r + -29. Which is smaller: n or -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 673*a + 3. Let x(l) = -679*l - 2. Determine -2*t(p) - 3*x(p).\nAnswer: 691*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -13\/48*v**4 + 14*v - 11\/24*v**3 - 1\/20*v**5 + 0 - 1\/4*v**2. Factor p(a).\nAnswer: -(a + 1)*(a + 2)*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -2.99. Let h = 5 + -3. Which is the nearest to h? (a) 3\/7 (b) 4\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = w + w, -20 = 4*y. Suppose w = 2*t + 105 - 357. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 - -55. Is 10 a factor of q*2\/4*(-13)\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 161376?\nAnswer: 484128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 91. Suppose -i = q - 4. Let u(p) = -p**2 + 5*p - 1. What is u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**(-5\/9)*(w\/(w*w*w*w**(-1))*w)**(-20))**(-19) assuming w is positive.\nAnswer: w**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636400.\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22849373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:43 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*b - 536. Let k = -35 + b. Is 33 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4800, 9597, 14394, 19191?\nAnswer: 23988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - (67 + -97)) + 100?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-1)\/(-3))\/(-1*4)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 204686, 409558, 614792, 820568, 1027066, 1234466, 1442948, 1652692?\n\"Answer: 30*a**3 + a**2 + 204659*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*g)*(-6 + 3*g + 6) + 2*g**2 - 5*g**2 + g**2 + 5*g**2 - 4*g**2 + g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115222?\nAnswer: 2, 53, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00993672966 rounded to five dps?\nAnswer: -0.00994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1695 by 1695.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*(-312)\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48236*m**3 - 312 + 314 - 981*m**3.\nAnswer: 47255*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -591*s**4 - 621*s**3 + 3*s + 6174. What is the third derivative of p(o) wrt o?\nAnswer: -14184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0712 - 0.072097. What is k rounded to five decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2747201 = 4*z - 947201. Round z to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1277*z**3 + 30*z**2 + 289*z + 8. Let h(s) = -426*s**3 + 11*s**2 + 95*s + 3. Let d(i) = -3*a(i) + 8*h(i). Find the second derivative of d(p) wrt p.\nAnswer: 2538*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba066a (base 16) to base 9.\nAnswer: -24841331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/((-88)\/32) + 1. Solve -2*c + 2*x = 6*x - 22, -4*x = f*c - 25 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27795 and 91\/1734.\nAnswer: 945030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 35 - 44)*(k + 2*k - 7*k) + (0*k - 2*k + 0*k)*(2 - 4 + 1) to n + b*k and give b.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**3 - 2*t**2 + 1. Suppose 0 = -5*l - 4 - 1. Let h be v(l). Let f(a) = -5*a - 5. Let j(y) = 11*y + 10. Let w(p) = h*f(p) - 6*j(p). Give w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -21*h - 76 + 14. Let k(i) = -27*i - 2. Determine k(h).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 29266 + 46748 = 19*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 33703771 to the nearest integer?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9*c = -2*k + 305, 4*k = -4*c + 608. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 11*p + 12. What is y(8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3884.744 rounded to the nearest 10?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4\/7 - 27705*k**3\/7 - 299406*k**2\/7 + 7735031*k\/7 - 273516 = 0.\nAnswer: -23, 1\/4, 12, 6937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.0246 - -0.0246. Let h = 0.51 - 44.51. What is the biggest value in h, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a73 + 6?\nAnswer: 3a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557048351?\nAnswer: 557048351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from yvvvyyvvvycrvykkyc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000176763 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -17*r**2 + 0*r**2 + 0 - 33*r + 20 - 2. Differentiate l(n) wrt n.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021021030 (base 4) to base 5.\nAnswer: 34041341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -19*n - 124. What is g(-9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -5. Let s be c*(0 - (-16)\/3). What is the lowest common multiple of 22 and (-3)\/(-2)*s\/(-2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.051 - -21.051. Let m = y + -26. What is the smallest value in 1, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11901, -8, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(847) - (sqrt(847) - (sqrt(847)*3 + sqrt(847)))) - sqrt(847)) + -4 + (sqrt(847) + sqrt(847) + 3)*-4 + -1)**2.\nAnswer: 374*sqrt(7) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56414 = -96*p + 84750 + 100948. List the prime factors of p.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 1. Let n be l(3). Let v be -2*17*(45\/10 + -4). Let k = v + n. Solve -13 = 5*x + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 + (-2 - 1) - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24282 divided by 6?\nAnswer: 4047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 9*g - 5 - 4.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 463, 694, 927, 1162, 1399, 1638?\n\"Answer: c**2 + 226*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from {k: 2, f: 2, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 2944?\nAnswer: 293b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -44. Suppose v*y - 10 + 2 = 0. Let j be (-8 - -7)\/((-2)\/y). Solve q = j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 60. Let h be l(67). Solve -20*c = -h*c + 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -5, 140 in increasing order.\nAnswer: -5, -1, 1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/((b*(b*(b**(7\/4)\/b)\/b)\/b*b)\/b*b))))**(-49)\/(b**5\/(b\/(b*((b**(-2)*b)\/b)\/b)*b)))**20 assuming b is positive.\nAnswer: b**(-265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 + 11?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19504 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1725 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8658 and 89388.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (254826\/(-18513))\/((-4)\/(-34))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -91\/4434?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -33*o - 6636. What is the common denominator of 6 - ((-10192)\/o - 5) and 21\/5?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-17 - -22) - (-5 + 10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xann when four letters picked without replacement from {x: 3, m: 1, g: 2, a: 1, n: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528, -1208, -2038, -3018, -4148, -5428, -6858?\nAnswer: -8438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/5 + 110843*v**2\/5 + 221683*v\/5 + 110841\/5 = 0. What is v?\nAnswer: -110841, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 5. Let b be (-9)\/(-9) - (2 + -1). Let j be i(b). Let t = 7 - 5. Solve 3*p = j*p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 391 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(39\/26)\/(-3). Determine v, given that 2\/9*v**f + 0 - 4\/9*v + 2\/9*v**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + o + 1. Let r(i) = -2*i**2 + 5*i. Determine r(g) - 2*y(g).\nAnswer: 2*g**3 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/7)*k*k*k*k\/(k\/k**5)*k)\/(k\/k**(1\/2)*k**(-1)*k)*(k**(-1\/4))**(-11\/3)\/((k*k**(-2))\/k**(-2\/3)) assuming k is positive.\nAnswer: k**(333\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-125)*(-95)\/4 and (-26)\/12*9\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*n - 20 = 0, -l = 5*n - 8 + 40. Is 3 a factor of ((-4)\/l)\/(1\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540233.\nAnswer: 540233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1528 - 1524. Suppose 6*d = 5*d. Solve -r*i = -d*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (3 - 0 - 6). Let o be 2\/a - 4\/6. Suppose -4*f - c + 4*c + 45 = o, 2*f + 4*c - 50 = 0. What is the remainder when 29 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/2 (b) -2\/7 (c) 3 (d) 1.5 (e) 0.1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 4*z + 20 = 0, r + 3*z + 10 = 0. Suppose 5*a - 341 = r*d, -3*d + 64 = 58. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -19. Which is the third smallest value? (a) -0.2 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1173 divide 8395161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2468, 1581, 696, -187, -1068, -1947?\n\"Answer: r**2 - 890*r + 3357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -3\/7, 5\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 3*c**5 - c**5 + (c**3 - 2*c + 2*c)*(-51 + 13*c + 51)*(4 + 3*c + 24*c - 6).\nAnswer: 349*c**5 - 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/120 and -89\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12108759493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 5537?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114690061 + 230680061. Round k to the nearest one million.\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -2.15. Let x = 1.101 - w. Let y = -3.051 + x. Which is the closest to 1\/3? (a) 2\/5 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 26*t**2 + 2*t + 3. Let a be r(-1). Let m(k) = -k**3 - 5*k**2 + 2*k + 7. Let w be m(-4). Let c = a - w. What is the remainder when c is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k + 2082, -2*k - 1062 = -4*k + 4*r. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2\/(-3))\/(12\/(-2250)). Suppose -6*g + n = -685. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 14*g**3 - 22*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90303129 or -90303128?\nAnswer: -90303129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1136694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31221685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*i - 34, -9 = -4*p + 4*i - 1. Suppose -9*z = -p*z + 5*m - 37, -5*z = m - 25. Solve 5*k + 29 = z*j, -2 = k - 2*j + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*c + 3, -3*i + 5*c + 0*c = 5. Let h be -2*2\/(-12)*6\/50. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55459738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -53. Suppose 2*s + d*s - 1629 = -j, 5*j = 2*s - 809. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004480541 rounded to 6 decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.1 (c) -13 (d) -3 (e) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13600 is divided by 3816.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 186036145507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*n - 530 = -3722 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -181354, -362640, -543926, -725212, -906498?\n\"Answer: -181286*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 - -11.39?\nAnswer: -178.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(0*s**3 + 0*s**3 + 2*s**4).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 3 - 7 + 2. Let a be d(-5). Suppose 0 = 4*m + 3*s - 19 + 5, 0 = m - 3*s - 11. Solve m*k + 3*g - a = 4*g, -5*k = 2*g - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 176.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1791036 and 26832.\nAnswer: 7164144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10241004 (base 7) in base 15?\nAnswer: 121dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5929 + 21)*(6 + 0)*(-7)\/56?\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*b + 15. Suppose -12 = 3*c, 0*c - 312 = -4*s - b*c. What is the smallest common multiple of 40 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 4. Let i be y(-3). Let w(h) = -13*h + 5. Let x(m) be the third derivative of -4*m**4\/3 + 2*m**3 + 23*m**2 - 2*m. Determine i*x(d) - 12*w(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 868*m**3 - m**2 + 8*m - 9. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 - 399 - 860)*(2*u - 2*u + 2*u)*(-2*u + 2*u + u).\nAnswer: -2182*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2076*i**2 - 472*i**2 + 563*i - 563*i - 1936*i**2 to the form n*i + x*i**2 + o and give x.\nAnswer: -4484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6577426547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244489200 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (4 - (-13 + 12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -237 + 11 - 148 + 90 + 3*d as z + f*d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -214995.8 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -13. What is the units digit of (o - 0) + 160 + 2\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -367 - 908. Let z = j + -171. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13) + sqrt(65)\/(sqrt(60)\/sqrt(12)) + 2 + sqrt(1573) - (-5 + -5 + -1*sqrt(1300))))**2.\nAnswer: 13800*sqrt(13) + 175525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - q + 45 - 279 - 18*q + 234.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458613 or -458574?\nAnswer: -458613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/4)*f*f*f*f\/(f**(-5)*f)*f**(-2\/3)*f\/((f\/f**(-2\/17))\/f)*((f\/(f*f**(-1\/10)*f))\/((f*f\/(f**(-10\/9)\/f)*f)\/f))**(-2\/159) assuming f is positive.\nAnswer: f**(4392833\/486540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/((-96)\/(-200)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1440, 8407, 24828, 54639, 101776, 170175?\n\"Answer: 656*g**3 + 791*g**2 + 2*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfzxrcc. What is prob of picking 1 z and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1761 + -1761.3. Let r = 41.7 - 46. Let z = r - w. What is the closest to -1\/4 in -0.3, -5, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 759?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108896 and 54448?\nAnswer: 108896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j**6*n**3 - j**6*n**2 - j**2*n**3 - 81*j**2*n**2 wrt j.\nAnswer: 2760*j**3*n**3 - 120*j**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 359*s**3 - 12*s - 357*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477 - (4 + (-3)\/((-3)\/(-2))).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 39*z**2\/2 + 5. Let k(n) be the second derivative of -n**4\/6 + 8*n + 878. Determine t(k(o)).\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -7*q**4\/12 + 5*q**3\/3 - 10*q. Find the second derivative of w(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862970737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.275464 + -27.0954961. Let u = y - 1.18. Round u to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*q = -5*q - 12, -5*q + 24 = -4*n. Is (n\/(-4))\/((-96)\/(-329408)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*-4*(360\/16)\/(-5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 x, and 2 g when four letters picked without replacement from {a: 2, b: 2, x: 6, g: 9}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10110 + -111013?\nAnswer: -100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 10. Let j = -4 - i. Let g = 4.3 - -0.7. Which is the nearest to 0? (a) j (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 12*n - 43. Suppose 1523 + 647 = 5*c - 5*o, -870 = -2*c + n*o. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnnvgwvee. Give prob of picking 1 g, 2 n, and 1 w.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 5*g**2)*(-3*g + 0 + 0 + 1).\nAnswer: -15*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41241, -163422, -367057, -652146, -1018689, -1466686?\nAnswer: -1996137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - -59 - (1 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/85, -21\/2, -4.1?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 508.781 and -0.8.\nAnswer: -407.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24818 or -3\/4?\nAnswer: -24818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-30)*-3 - (-37168)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -21. Let r be (-6)\/(4\/2) - (-92)\/28. Which is the closest to 0? (a) f (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 1 = 0, -10 = -2*n - 4*q. Let p be -42*1\/(0 - n). Let j be 1\/(-3) + 926\/6. Calculate the greatest common factor of j and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2981569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154370206 and -0.2?\nAnswer: 30874041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = 1. Let h = -5 + x. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 7*f. Let z(i) = -i**2 + 4*i + 3. Calculate the remainder when b(-5) is divided by z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {g: 4, b: 1, u: 1, c: 1, p: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5813.708648 minus -12.83?\nAnswer: 5826.538648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*g + 6 - 0, -2*o = -2*g - 12. Let h be (-60)\/(-14) - o\/7. Let k(t) = -4*t + h*t - 2*t. Let f(q) = -q**2. What is k(f(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1894362 + 0.529681?\nAnswer: -1894361.470319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -35318645623266?\nAnswer: 35318645623265.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 + 11*p + 35. Suppose 0 = 52*d - 73*d - 126. Calculate h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16308 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.221 + -12.079. Let y = b + 12.29999. Round y to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y - 38*y + 76*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87283.\nAnswer: 7, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/5 + 375624*y**2\/5 + 2254149*y + 16907130 = 0?\nAnswer: -15, 125238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*i - 13 = 2, -5*j - 3*i + 3 = 0. Factor -11 + 21 - 6*t**2 + t**j - 14 + 3*t + 6*t.\nAnswer: (t - 4)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + 4*(sqrt(396) + 0 + -5 - sqrt(396))*-2*3))**2.\nAnswer: 484416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, -0.3, -0.25, 2\/9.\nAnswer: -1, -0.3, -0.25, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*z - 275 = -81*z. Solve z*l = 57*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 6. Let x be i(7). Let k = -20 - x. Suppose -5*s + 2*l + 74 = 0, -18*s + 64 = -14*s - 4*l. Solve s = -4*z - k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.07, 0.9, 13.33 in decreasing order.\nAnswer: 13.33, 0.9, 1\/8, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 23. Let v = 66 + -38. Let c be h(v). Put c, -12, -7 in increasing order.\nAnswer: -12, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 - 86. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6897, -6895, -6893, -6891, -6889?\nAnswer: -6887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-4 - 246\/(-66)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (64\/12)\/((-2)\/6). Let n = k - -9. Let y(o) = -o**3 + 10*o**2 + 57*o - 15. Let v be y(14). Put v, 2, n, 5 in descending order.\nAnswer: 5, 2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*v = v - 2, 0 = 5*v + 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/12 + 5*t**3\/2 - 12*t**2 - 7*t. What is the tens digit of w(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**5\/10 - 5*a**4\/4 + 29*a**3\/6 - 5*a**2 - 366. Solve y(c) = 0 for c.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:12 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 21*d - 8. Let t be r(15). Let x = -1396\/11 + t. Which is the third biggest value? (a) 0.5 (b) 4\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*z + 6, -5*l - 4*z + 13 + 22 = 0. Suppose -5*g + 2*k = 6*k - 7, l*g + 4*k - 1 = 0. Let n = 125 - 117. Solve g*o = -o + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -374*o + 345*o + 7395. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -101010?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 1.2. Let m = z + -1.4. Let u = 12 - 11.8. Which is the nearest to 1? (a) m (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 15. Determine i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:33 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**5 - 2*c**2 + 35*c?\nAnswer: -200*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58706778 and 18?\nAnswer: 176120334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 + 4*m**3 - 14*m**3)*(-2 - 2 + 3) + (-m - 2*m**2 + m)*(-4*m + 0*m + m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15)*-3*-1. Suppose 17*y - 1670 = -531. Let s = y - 339\/5. Which is the smallest value? (a) s (b) t (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114411 - -113?\nAnswer: -114254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wviccwvwcciwwiivww.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 i when three letters picked without replacement from {i: 8, z: 1, c: 3, f: 5, y: 3}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*(y*y*y*y**(-1\/7))\/y)\/(y\/((y*y**0)\/y))**(-48))**(-27) assuming y is positive.\nAnswer: y**(-10746\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**2. Let x(d) = -3*d - 5. Let c(o) = 1. Let q(m) = -c(m) + x(m). Let t be q(-3). Let a(l) = t*l - 2*l - l + 6*l. What is a(j(p))?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 11\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 + 0)*(0*x - 2*x + 0*x) + 0 + 2*x + 0 - 110*x + 45*x + 42*x)*(-33*x + 10*x + 207*x + 1)*(3 - 3 + x).\nAnswer: -4600*x**3 - 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 183 = 3*j - 0*i, 58302*i - 108 = 2*j + 58304*i for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 9. Let h be -2 + 2*5\/2. Let m be -12*(9\/h)\/6. Let g be c(m). Solve 4*w = -2*l - 18, 0*w + g*w + 5*l + 17 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6563 - -179\nAnswer: 6742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 + -138.7. What is the closest to 0 in 1, -4, 0.03, f?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 35. Let r be 16\/(-28)*1\/s - 0. What is the biggest value in 0.3, -13, -4\/7, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - -0.53. Which is the third smallest value? (a) 2\/3 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuuaxxxaubbaa. Give prob of sequence xux.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23194 + 23175. Suppose -2*y + 4*y = 2. Sort -1\/4, y, q.\nAnswer: q, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29325*x + 29371*x + 5*f = -138, -3*f = 5*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-477071)\/(-136) + (-2)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5571090 by -185.\nAnswer: 30114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 - 2*p**2)*(-6 + 2 + 2)*(-1 + 2*p + 1)*(196*p + 282*p - 31*p).\nAnswer: 3576*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:14 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 6*m - 27. Give q(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680 is divided by 756?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 - 6 = 0. Let c = 14 + -12. Is c bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112616, 450452, 1013498, 1801742, 2815172, 4053776?\n\"Answer: -2*q**3 + 112617*q**2 - q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 4. Let k(j) = -j**3 + 8*j**2 + 8*j + 13. Let h be k(9). Let w = -23 - -25. Suppose -4*n = w*t - 4, -h*t = 2*n + 3*n - 5. Calculate v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x - 16. Give m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.262 - 0.038. What is the closest to 0.2 in 2, -1\/7, 0.13, b?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {j: 3, s: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6. Let r be 3*-3*p\/18. Which is the smallest value? (a) 3 (b) r (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 656 + 864. What is the highest common factor of 228 and r?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -10. Let l be (24\/48)\/(6753\/2250 + -3). What is the highest common factor of l and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2734835\nAnswer: 8204505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7219277 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 - -1201022221?\nAnswer: 1201110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from urozzorzdrdzxdxo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1042*j + 1436*j + 3858*j)*(-j + j + 2*j)*(-2 + 4 - 4).\nAnswer: -17008*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 1572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -22. Let a(z) = -9*z**4 + 13*z**3 + 12*z**2 - 16*z - 21. Let q(l) = 4*l**4 - 6*l**3 - 6*l**2 + 8*l + 10. Let f(j) = s*a(j) + 10*q(j). Factor f(g).\nAnswer: 4*(g - 2)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2414 rounded to 1 dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-114) - (-5)\/(-30). What is the closest to w in 1\/4, -3, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 5, -4, 44803, 0 in decreasing order.\nAnswer: 44803, 21, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606\/10927 - -9\/1561. What is the common denominator of y and -3\/5194?\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + m + 12, -17*p + 2*m + 29 = -22*p. Let l(k) = -k**3 - 5*k**2 - 3*k + 1. Determine l(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 5. Let a(p) = 17*p + 15. Let i(z) = -3*a(z) + 8*k(z). Give i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - w + 5 = 0, -2*f + 57*w - 52*w - 7 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + h**2 - 2*h + 7. What is s(-3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2260893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1820 + 4881. Does 119 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 607 divided by 56\nAnswer: 607\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*i - 47857 = -1229*i + 18375 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3296 = -217*c + 2211 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moh when three letters picked without replacement from oxtzhhmzt?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 188*x = -192*x - 1, -3*l - 2*x - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30005.1 - 30005. Let j = 3 + -2. Suppose 2*y + 49 = u + 11, 5*y + 2*u = -77. Which is the second biggest value? (a) j (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64239768 to two dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30177, 60546, 90915?\nAnswer: 121284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 528\/54 + ((-190)\/(-45) - 4). Solve 2*u = -12*q + 14*q - x, 4*q - 21 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -8. Let w = 7.881 + -5.881. Which is the closest to 3\/4? (a) w (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 449873 and 5171759?\nAnswer: 1960096661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23761 + -13597. Is 44 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Suppose 5*z - 5*j = -25, -q*z + 3*j - 15 = -0*z. Suppose -3*b + l + 143 = z, 0 = -2*b + 3*b + l - 53. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44647 divided by 2?\nAnswer: 44647\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311252046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.45536.\nAnswer: 5.82144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2149099753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1680*m + 23514. Determine r(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k**2 + 1)*(-4*k - 2*k**2 + 4*k) + (9*k - 9*k + 9*k**3)*(-4*k + 2*k + 0*k) + 20*k**3 - 7*k**4 - 20*k**3.\nAnswer: -23*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, 724, 1953, 3674, 5887, 8592?\n\"Answer: 246*d**2 - d - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**3 + n**5 + 2*n**3 + n**5 - 4*n**5 + 8*n**5 + 4*n**5 + (0 + 0 + n**2)*(-n**3 + 3 - 3) + n**5 - 3*n + 3*n.\nAnswer: 10*n**5 - 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-325)\/1430*(-3 - 1)\/20.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/(4\/6). Let d be 4 + k + (2 - -3). What is the second derivative of 2*r**3 - d*r**4 - 2*r**3 + 35*r + 24*r**4 wrt r?\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18))\/(-2*2\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -357?\nAnswer: 356.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1404*g**3 + 8*g**2 - 3*g - 4. What is q(-1)?\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*x**3 + 16*x**3 + 26*x**3 + 39*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 664250.\nAnswer: 664250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/20 + (-2)\/8. Let b(l) = 1 - 1 + l**2 + 3 + 4*l. Let y be b(-2). Is n not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150 + -136. Calculate the least common multiple of c and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35798 is divided by 2753.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 1. Let b be s(-2). Suppose -3*f = -b*f + 10. Solve 0 = -4*h + f*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1279\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61757567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 14*r**2 + 4. Let q be a(14). Suppose 5*j + 0*j + 4*y = 32, -q*j + y = -13. Let m(k) = -2*k + 2. Determine m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {e: 4, m: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -807424 by 403712.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6219*y**2 + 163*y + 35. What is the units digit of g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*l - 48. Suppose l*u = 2*u + 11215. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2030 and 2506760.\nAnswer: 17547320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*b + 62*b = 142813220 - 13372849. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 + 2*l**3 + 3*l**2 - 8 - 2*l + 6*l. Let d(c) = -c**3 - 63*c**2 - 124*c - 119. Let g be d(-61). Is 35 a factor of p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1879496 and -1879511 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 66 = -26*z. Which is the closest to z? (a) -2 (b) -4 (c) 19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45894 is divided by 151?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose 3*d = -2*r - 17 + 44, r - 21 = -z*d. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89 or -25615?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76818 and 163548?\nAnswer: 5069988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*u - 252 = 0, -15*q = -11*q + 2*u - 336. What is the lowest common multiple of 77 and q?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129787 is divided by 21625.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105202 (base 7) to base 13.\nAnswer: 8626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8086*z + 40514. Determine k(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -191. Let x = i + -40. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -952, -954, -958, -964, -972?\n\"Answer: -m**2 + m - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + w - 31 = 2*a, 4*a = 3*w - 120. Let z = a + 32. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjoj when four letters picked without replacement from jyjjjyoyyj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -88 (c) 0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 6*q + 10. Let j = q - 2. What are the prime factors of (8 - 11)\/(j\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 4*j**2 + 6*j - 5. Let l(k) = k**2 - 12*k + 14. Let w be l(10). List the prime factors of s(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20886\/(-413) + 48 - 330\/(-42)?\nAnswer: 37\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -43ab5 (base 14) to base 7\nAnswer: -1252115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -613, -1225, -1837, -2449, -3061?\n\"Answer: -612*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**6\/180 - 83*h**5\/40 + 1823*h**4\/9 + 9728*h**3\/3 - 32768*h**2\/3 - 6661*h. What is l in z(l) = 0?\nAnswer: -8, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 4*a**2 - 3. Let i be h(-2). Let o(y) = -y**3 - 7*y**2 - 2*y - 4. Let p be o(-7). Calculate the greatest common divisor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*k - 54 = -182*k. Let d(g) = -2*g**2 - 7. Let b(m) = -138*m**2 + 136*m**2 - 2 - 4. Give k*d(n) - 7*b(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-45) + (-124)\/30. Let y be l\/(-14) - (-54)\/7. What is the second derivative of -v + y*v - 2*v**2 - v + v wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 274 - 270. What is the lowest common multiple of j and 94?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/52*(0 + 17)*-1. Let b = -1671\/208 - a. Calculate the common denominator of -103\/6 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from omgffmoofu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 1. Let s(w) = -6*w + 3. Let r(n) = 5*d(n) - 2*s(n). Let h be r(-4). Suppose 0 = -3*g - 4*z - h, -4*z = 4*g - 9*z - 6. Are g and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u + 12. What is the tens digit of q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81685, 81686, 81687, 81688, 81689?\nAnswer: 81690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 - -118. Let r = -81 - s. Suppose w - r = -22. Solve w = x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1770*a - 241. Is h(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*f - 954 = 0, 2*l - 836 + 332 = 3*f. What is the least common multiple of l and 621?\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 30200*m + 30198.\nAnswer: 2*(m - 15099)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(2 + sqrt(2)) - (sqrt(2) - (0 + sqrt(2))*-3)**2) + 1*sqrt(4)\/(sqrt(288)*-2 + sqrt(2)).\nAnswer: -27 + 114*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1. Suppose -5*s + 7*s = -10. Let k(f) = -4*f + 5. Determine s*j(y) + k(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251*v + 126*v - 16*v**2 - 11*v**4 + 124*v wrt v.\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/3, -0.6, -1, 509.\nAnswer: -1, -0.6, 5\/3, 3, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/12)\/((-2)\/3)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/12)\/((-2)\/(-5592)) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -326775 from 5.\nAnswer: 326780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*x**2 - 2605 + 2609 - 268*x**2 to the form n + i*x**2 + s*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3 + 0 + 2. Let i(d) = 2*d + 7. Suppose o = -3*o - 4. What is o*i(x) - 6*w(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1070, 7, -3, 1, 0.\nAnswer: -3, 0, 1, 2, 7, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212836866*j - 672591176.\nAnswer: -212836866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254350200*d**3*j**3 - 6*d**3 - 1833348*d*j**2 wrt j.\nAnswer: -1526101200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(52) - (sqrt(52) + sqrt(260)\/(sqrt(5) - sqrt(5)*2))))\/(sqrt(48)\/sqrt(108) - -2*sqrt(4)*-4).\nAnswer: -3*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -16. Let m = -55747\/64 - -871. Is d bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -8.8. What is m rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.094+-60\nAnswer: -58.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-123) + ((-2)\/3)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*l - 294*l = -3*z + 24, -z + l + 9 = 0. Solve -4*u - k = 17 - 19, -3*k + z = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8761542 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a + 4*a - 5*a - 30*a - 80*a + 11*a + (-6*a + a + 3*a)*(1 + 1 - 1) + 0*a + 0*a - a + (3 + 1 - 3)*(2*a - 5*a + 2*a) + 2*a - a - 3*a.\nAnswer: -100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -r - 7, 4*x - 5*x - 4*r + 23 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -84, 3, -3 in decreasing order.\nAnswer: 3, -1, -3, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/9))\/v)\/(v**(2\/17)*v)*(v**(-5)*v)\/(v*v**(-1\/4)*v) assuming v is positive.\nAnswer: v**(-4067\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**3 + 18*p**2 - 388*p + 13. Let d(y) = 3*y**3 + 8*y**2 - 194*y + 6. Calculate -9*d(b) + 4*w(b).\nAnswer: b**3 + 194*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118546653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -67, -7.\nAnswer: -67, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -259*p**3 + 1833 - 1833 + p**2 + 7*p**3 to the form s*p**3 + g + o*p + k*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/630 + y**4\/2 + 5*y. Let c(r) be the third derivative of b(r). Let o(g) = 2*g. Calculate c(o(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -186. Solve 2*d + 5*c = 2*c - y, 4 = d - 3*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190997*f**3 + 139882*f**2?\nAnswer: -1145982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjjwwwjjww. Give prob of sequence jwjw.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*t = 1332 + 5320 + 1213 - 335. Let n(i) = -i**3 - 6*i**2 - 2*i + 5. Calculate the remainder when t is divided by n(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 11) in base 4?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 - 141*h**3 - 3*h**2 + 141*h = 0. What is h?\nAnswer: -1, 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16324 - 5?\nAnswer: 16318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:05 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.278 + 164.722. Let m = 167 - n. Which is the nearest to -6\/7? (a) m (b) -3\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 13*w - 5. Let k be s(-7). Suppose 5*u - 1 = 2*v, 5*v - 16 = -k*u - 4. Sort -1, -5, v in decreasing order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:52 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 10. Let x(l) = -l**3 + 6*l**2 + 8*l - 5. What is the remainder when x(6) is divided by (z\/(-12))\/(7\/(-140))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(210\/(-564))*(-175)\/70*1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*z**2 - 18*z**3 + 289*z**2.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 866 + -101. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5572 is divided by 623.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*r + 40. Let o(m) = -7*m - 33. Let k be (-6 - -11)*(0 - (-3)\/(-3)). Let l be o(k). Solve 0 = l*f - 5*n - r, 0*n - 15 = -5*f - 4*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*b + 5*t, 4*t + 13 = -2*b - 1. Suppose g = b, -5*g + 3 = -3*y - 0. What is the second derivative of -33 + 33 + 0*r + 7*r**y - 2*r wrt r?\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844778, -1689552, -2534312, -3379058, -4223790, -5068508?\nAnswer: -5913212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f + 20*f + 27198600 = 0. What is f rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 12*m + 144. Let v = m + 39. Suppose -38 = -5*r - 2*i, 1 = v*r - 5*i + 3. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 0*c**2 - 3*c**3 - 3*c**3 - c**2 + 10 + 4*c**2 - 3 as y*c**3 + b*c + d + a*c**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 9. Let j(o) = -o**2 + o + 184. Let k be j(0). Let b be k\/16 + (-2)\/(-4). Calculate the remainder when 40 is divided by r(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 101231?\nAnswer: 101241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:54 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -79*q + 54*q. Put q, 1, 13, 0.8 in descending order.\nAnswer: 13, q, 1, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -804, -3207, -7212, -12819, -20028?\nAnswer: -28839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.104 (b) 42\/17 (c) 0.2 (d) -4 (e) 1\/50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/3 - (-19)\/1. Suppose 56*x - 58*x + 14 = 0. Suppose -4*s + 231 = x*s. Calculate the greatest common factor of q and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7) + (-20 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -88800, 1, 10, -2 in ascending order.\nAnswer: -88800, -2, 0.3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1459002 and 6.\nAnswer: 1459008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*o + 1887 + 1006, 0 = -o - 1. Let v = 1639 + h. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5881575 by 525.\nAnswer: -11203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 4*x + x**3)*(3 - 3 - 1) + (4*x - 3*x + 7*x)*(23*x - 5*x**2 - 23*x) in the form g*x**2 + b*x + r*x**3 + d and give r.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15222.6 * 207.\nAnswer: -3151078.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.12 (b) -9\/10 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.4, 90, 4 in decreasing order.\nAnswer: 90, 4, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(468) - (1*sqrt(468) + sqrt(468))) + -3)**2 + -5*sqrt(13)*-1 + (-2*sqrt(65))\/sqrt(5))*2.\nAnswer: 78*sqrt(13) + 946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 752, 5957, 20078, 47573, 92900?\nAnswer: 160517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 10*b + 1115. What is the remainder when x(-26) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185053*m**2 + 185030*m**2 - 3*m + 3*m.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-4) - 2\/8. Let r be -11 - -10 - ((0 - -1) + -4). Solve -2*j - d = r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734.41021 rounded to 1 decimal place?\nAnswer: -734.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 - 1 - 1 + 0 + (c - 2*c - 3*c)*(0*c**2 + 4*c**2 - 2*c**2) + (6*c + c - 4*c)*(0 + 3*c**2 + 0).\nAnswer: -3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, 4, -3 in ascending order.\nAnswer: -11, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 + (9 - 1))\/3. Which is the biggest value? (a) -24 (b) 4 (c) h (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487776574.8 rounded to the nearest 100000?\nAnswer: 487800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:04 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**2*q**4 + 452*g**2*q**3 - 18650*g**2*q wrt q.\nAnswer: -108*g**2*q**2 + 2712*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(8\/3)\/r**(-3\/5))**(-2\/43)*(r**(1\/2)\/r**(-1))\/(r**(-2)*r*r*r*r**(2\/7)*r) assuming r is positive.\nAnswer: r**(-8467\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1379 = -3*l, 0 = -w - 3*w - 8. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -473001.0316 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 2*y**2 - 2*y + 3. Determine q(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + h**4 - 2114*h**2 - 4 + 54*h + 2087*h**2 + 0*h**4 = 0. Calculate h.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 69 - 68 - 2*k**3 + 0*k**3. Suppose 2 = -0*s - s. What is the tens digit of m(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*u + u + 10, -b + 10 = 2*u. Solve -a + 2*c = 0, u*c - 10 = -3*a + c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -7a9?\nAnswer: -7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 at most 28541\/174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.061 or -599\/4?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rffffrffrgffrffrffrr?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 + 3*k - 2. Calculate n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26954\/9*(-3483)\/(-774) a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -370 - -349. Which is the nearest to j? (a) -4 (b) -5 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*u + 2*x, u - 7*x - 32 = -6*x. What is the third biggest value in 0.1, u, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, p: 1, i: 3, l: 2, b: 1}. Give prob of picking 1 l and 2 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1468, -4, -5.\nAnswer: -1468, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 430\/51, -3\/5, -0.7, -3.2 in decreasing order.\nAnswer: 430\/51, -3\/5, -0.7, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 20511\/1204)*(2 + (-6)\/(-9)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*4.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -209, -450, -787, -1220, -1749?\n\"Answer: -48*p**2 - p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 41*k**3 + 121*k**2 - 12*k - 26. Determine i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(180))**2 + 1)*3.\nAnswer: 8643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:10 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 3*m + 218412, 273012 = 5*x - 3*m. Round x to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*2\/(-38))\/(-2). Let m be 28\/70 + 22\/(-80). Sort 0, r, m.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -963*k**2 + 963*k**2 + 256*k**5 + (0*k**4 + 3*k**4 - k**4)*(0*k + 3*k - k).\nAnswer: 260*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbz when three letters picked without replacement from {z: 11, b: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4511493, -4511481, -4511455, -4511409, -4511337, -4511233?\nAnswer: -4511091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -2*v**7\/105 + v**4\/24 - v**2\/2 - v. Let i(z) be the first derivative of a(z). Find the second derivative of i(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o**2 + 4*o)*(-4*o + 0*o - 3*o) - 13 + 6*o**3 + 13 + 0*o**3 + 11*o**3 - 3*o**3 + (-o**3 - o**3 + 4*o**3)*(6 - 3 - 2).\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 697*j**5\/60 - 233*j**4\/12 + 224*j**2. What is the second derivative of v(r) wrt r?\nAnswer: 1394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 8, 2*j = -5*l - 50 - 19. Which is smaller: 85 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*h + 4 = -0*t, 0 = 2*h. Suppose -40 = t*w + w + 3*q, -3*w = q + 20. What is the units digit of (-7 - w)\/((-2)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321681 divided by 51?\nAnswer: 65131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 4, 2\/3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8 = 5*b, u + 14*b + 4 = 16*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 294437000 rounded to the nearest 1000000?\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:20 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 35. List the prime factors of c.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjwjwwjwjwwjwjwjw. What is prob of sequence wwjj?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:25 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4986 and 16\/9.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3 + 4*z - 3 + 6*z - z. Let d be x(10). Calculate the highest common factor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 52*z - 255. Let q be p(5). Let d(m) = -6*m**3 - m**2 + 3*m. Let f(o) = 7*o**3 + 2*o**2 - 4*o. Calculate q*d(y) + 4*f(y).\nAnswer: -2*y**3 + 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 64*n + 92*n + 0*n**3 - 10*n**2 - 11*n**2 - 29 - 48*n. Let r(i) = 4*i - 2. Let x be r(6). List the prime factors of u(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a0 - 6?\nAnswer: -10a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p - 2. Suppose -p*a - 3*f + 15 = 0, -2*f = a - 4*a + 24. Suppose 4 = -a*k + 34. Solve 0 = -5*n + k, -2*u = 3*u - 2*n - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*-3*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1317, -1\/4, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x*x\/(x*x*x**(-3\/8)*x*x)*x))*x)**(-9\/5)\/((x\/x**(-9))\/x**0) assuming x is positive.\nAnswer: x**(-499\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 11:52 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g*g*g**(-1\/6)*g)\/(g*g\/(g*g**(2\/9))*g\/((g**(-13)\/g)\/g)))**(-19\/2) assuming g is positive.\nAnswer: g**(3059\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1214 (b) -2 (c) 10.7 (d) -0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 118, -16 in ascending order.\nAnswer: -16, -5, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 23*o - 530. What is z(22)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*47\/(-21620)*-1?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -6 + -5 + 12. Suppose 4*t + s - 4*s = 204, -5*t + s = -255. Suppose -q*n + t = -5. What is the greatest common factor of 21 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167392, -334487, -501582?\nAnswer: -668677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 224 - 118 - 121 + z. Let n be s(13). Sort n, 4, -7, 5 in ascending order.\nAnswer: -7, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71696 + -5?\nAnswer: -716a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-745)\/11*1122\/110. Let v = 691 + y. Which is bigger: v or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2437\/2 + -1217. Which is the nearest to -0.1? (a) 11 (b) o (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -314103?\nAnswer: 314104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6926, -6870, -6814, -6758, -6702, -6646?\nAnswer: -6590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 less than 1200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 40333981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 43 = -4*s + s, -3*n + 30 = 2*s. Let l = s + 0. Solve -4*c = -2*y - 2, 3 = -y - 5*c + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/6 + 1770 + -3. Suppose 0*d - 4*d = -3*l + i, -l + 566 = 4*d. What are the prime factors of l?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.94 - 0.14. Let m = 0.78 - s. Let d = m - -0.0212. What is d rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962214832 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -405, -1073, -2055, -3351, -4961?\n\"Answer: -157*i**2 + 117*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 926858.\nAnswer: 278057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 - (11 + -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9820, 19298, 28776, 38254, 47732?\n\"Answer: 9478*x + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4858 + -4845. Solve 0 = -2*n - 3*j - 16, 0 = n + j + g - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*v + 50 = 0, -10*u + v = -6*u - 47. Does 78 divide (u - 89)*17\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -938*j**3\/3 + 129*j**2\/2 - 15*j + 2735. Find the second derivative of f(o) wrt o.\nAnswer: -1876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 19. Let b(y) = 93*y - 1128. Let r be b(12). Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27352783 - -0.2735. What is l rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74, 434, 1030, 1862, 2930, 4234?\n\"Answer: 118*q**2 + 6*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 15*v - 16. Let k(l) = l**2 + 7*l - 8. Let a(h) = -6*b(h) + 10*k(h). Let a(i) = 0. What is i?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*n + 38, 11*v = -n - 8032 + 8044 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 7551?\nAnswer: 7551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.1. Which is the second smallest value? (a) 12 (b) -0.09 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 23*v + 27. Let l = 169 + -170. Let t be d(l). Which is the second smallest value? (a) 5 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*i - 4*y, 45*y - 50*y + 20 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2626609856 and -1.\nAnswer: -2626609857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110126 and 489294.\nAnswer: 38654226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*d + 37 = -0*l, -l - d = 1. Solve 0 = o + 3*m - l, -3*m + 6 = -0*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 10*v**2 + 39*v - 6. What is the units digit of b(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -29. Let p be 12 - (2 + i + 0). Is 10 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Let h = -2\/465 + -908\/5115. Which is the closest to -1? (a) s (b) h (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 2 = 2*b, -4*y = -16. Differentiate 4 - b - 24 + 16*n + 3 wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let g(a) = -a**2 - 2*a**f - 4 - a - 6*a + 4*a. Let s(n) = 7*n**2 + 7*n + 9. Determine -9*g(x) - 4*s(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4532?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.019 + 8.981. Let q = h - 7. Let d = 0.05 - -0.15. Which is the closest to q? (a) d (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 108158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -516, 3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 50*k + 172 - 892 = 0 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88)*5 + sqrt(88))\/(2*sqrt(100)))\/(6*3*sqrt(1584)*-6).\nAnswer: -11*sqrt(2)\/12960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 3*n**3 - n**3)*(-6*n + 0*n - n) + 2231*n**4 - 1789*n**4 - 1117*n**4.\nAnswer: -661*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 10*n**2 + 4*n + 40. Let p be l(9). Let a(k) = -k - 4. Let s(r) be the first derivative of r**2\/2 + 3*r - 2. Determine p*s(o) - 4*a(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 171 - 857. Suppose 5*v - 2*l - y = 1941, -3*l - 1227 = -3*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33555 less than -0.8?\nAnswer: -33555.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 267 = -111. What is the remainder when 101 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50 + 34ad2?\nAnswer: 34a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6251, -0.5, -123, -2\/7 in decreasing order.\nAnswer: 6251, 4, -2\/7, -0.5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -450548958*r**2*s**3 - 4*r**2*s**2 + 1285*r**2*s + 3*r**2 + 830*r*s**2 - 2*r*s wrt s?\nAnswer: -2703293748*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6935, -19 in ascending order.\nAnswer: -6935, -19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16725018503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 605736.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1032376520 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1158 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/4, -4\/15, 0.4, 93?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**4 + c**4 + 0*c**4)*(4*c - 3*c - 2*c) + 4*c**5 + 0*c**5 - 3*c**5)*(0 + 1 - 2)*(-3 + 2 - 1).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**4 - 61*x - 206 wrt x.\nAnswer: 4*x**3 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(5))\/sqrt(4) - (sqrt(6)\/sqrt(3) + -4 - (sqrt(2) + (sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(6))))**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520580091 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7740000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504232874 to the power of 1\/3, to the nearest integer?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/8 + 2541*s**3\/2 - 4329789*s**2\/4 + 21458745*s\/2 - 213954075\/8.\nAnswer: -3*(s - 1689)**2*(s - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*g, j + 5*g = -43 + 13. Calculate the common denominator of (5\/(j\/(-214)))\/(-5) and -15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.203+0.6284\nAnswer: 0.4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n + 0*n**3 + 4*n**3 + 11*n**3 - 13*n wrt n?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -47 (d) 100.1 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/17 - 3359432*x**2\/17 - 1410649009920*x\/17 + 62075060467200\/17 = 0.\nAnswer: -839880, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/((-130)\/117)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1987 is divided by 221.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*(-5 + sqrt(684) + 2*sqrt(684)) - (1 + -4 + sqrt(684)*1)))**2.\nAnswer: -3900*sqrt(19) + 116221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = n, -5*b - 5*n - 3 = -7*b. Let t(p) = -p + 5. What is t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74217 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: Put 78, 4, 11, 3, -5, 2 in increasing order.\nAnswer: -5, 2, 3, 4, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 + 25718*p**3*z**2 - 55*p*z**2 - 162*p*z + 2*z**2 wrt p.\nAnswer: 12*p**2 + 154308*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (86\/(-5))\/((-236)\/(-80) - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, y: 2, t: 7}. Give prob of sequence ytn.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192781776 by -48195444.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1057 and (-37)\/((-6 - 67) + 10)?\nAnswer: 9513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 125.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32236636, -32236637, -32236638, -32236639, -32236640?\n\"Answer: -s - 32236635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150072 and 41736?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2\/3, -0.7 in decreasing order.\nAnswer: -2\/3, -0.7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 172*n + 3 - 3*n**4 + n**4 + 170*n to h + s*n + l*n**3 + z*n**4 + q*n**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 8 + -10 + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 321 = -11*i. Let j = -183 + i. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 782*l + 35479. What is j(-41)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 - 26*v - 15. Suppose -2*s = i - 122, -2*i + 5*s + 286 = 60. What is the remainder when i is divided by z(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -671 - -19?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1) + 143\/66. Which is the third biggest value? (a) -1 (b) -0.5 (c) w (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4545 in 4, 25, 11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let a(v) = -7*v**2 - 6*v - 5. Let c(s) = a(s) + 6*f(s). Let i be c(-5). Suppose 135*u + 9 = 54 + 630. Solve -u*o = -i - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 1. Let x(t) = t + 1. Let b be 20\/25*(10\/(-4))\/(-1). Determine b*k(s) + x(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58905*l**2 + 9001730*l + 51960.\nAnswer: -5*(17*l - 2598)*(693*l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 2 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d - 2. Let s be i(1). What is the highest common factor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51)\/357 + 194\/(-14). Let t(x) = -22 + x - 10*x + 8. Is t(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -27*b**2 + 2*b. Let i(a) = -17*a**2 - 13*a**2 - 20*a**2 + 53*a**2. What is i(o(m))?\nAnswer: 2187*m**4 - 324*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -820, -825, -832, -841, -852, -865, -880?\n\"Answer: -v**2 - 2*v - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 346b09 (base 13) in base 3?\nAnswer: 2100011022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -18, -25, -34, -45?\n\"Answer: -m**2 - 2*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68\/7*p**2 + 66\/7 - 19*p - 1\/7*p**3.\nAnswer: -(p - 66)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40953 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16807*c**3 - 6603*c**2 + 9*c. Let r(o) = -4202*o**3 - 1651*o**2 + 2*o. Let u(l) = 9*r(l) - 2*w(l). What is the third derivative of u(a) wrt a?\nAnswer: -25224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 2*h + 2. Let c be b(-4). Let u be (4 - -2)\/(c\/4). Sort 0, 5, u.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmldvvdmdc. Give prob of sequence vmc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvhiiv. Give prob of picking 1 h, 2 i, and 1 v.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9221536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.698987 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (sqrt(468) + 1)*-4 + 4 - (3 + 1 + -4*(sqrt(468) - (1 + sqrt(468)))))**2.\nAnswer: 336*sqrt(13) + 7536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -7\/583, -1 in increasing order.\nAnswer: -2, -1, -7\/583, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 6:29 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 2\/13 (c) -0.1 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -140. What is the smallest common multiple of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 10*n**2 - 5*n + 55. Let p be r(10). Let b(u) be the second derivative of -1\/24*u**4 + 0 - 1\/12*u**3 - p*u + 0*u**2. Let b(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 - 0.36\nAnswer: -132.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y + 1. Let v(p) = -p**3 + 7*p + 1. Let c(a) = 6*s(a) - 5*v(a). Give c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 2*u**2 - 3*u - 6. Let i be a(-3). Let o be 1 + 201\/i + -6. Sort -5, 4, o, 0.07 in decreasing order.\nAnswer: 4, o, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63847, 255396, 574651, 1021612?\nAnswer: 1596279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -13*o**2\/4 - 32*o + 5 = 0.\nAnswer: -10, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.052464\nAnswer: -0.0052464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -666 + 676. What is the smallest common multiple of r and (244\/(-5))\/(((-9)\/15)\/3)?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7 + 4 + 12*b - 4 + 3. What are the prime factors of s(8)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346.97 - -344. Let w = q - -2.9781. What is w rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3939000 rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 403 = 5*z + 461 - 929, 5*z - 38 = 4*u for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:30 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (45 - 14)) + (0 - -18).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(110)*1)\/sqrt(2) - sqrt(55))\/((sqrt(121) + sqrt(121)*-2)\/sqrt(11) - sqrt(11)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -644, -14, -60 in descending order.\nAnswer: -14, -60, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 100*x + 65. Let n be f(12). Suppose -3*h + 427 = a, 4*a - n = -4*h + 475. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, d: 4, b: 5}. Give prob of picking 2 s.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80 + -4?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30566 and 24769?\nAnswer: 1436602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.1 + -11.872. What is m rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51834326, -51834328, -51834330?\nAnswer: -51834332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*((-532)\/57)\/7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 26*g**2. Let m(t) = t**2. What is y(m(b))?\nAnswer: 26*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2226 - 2231. Let n be 1 + ((-14)\/(-12))\/(-1). Sort 0, n, v, -1.1 in ascending order.\nAnswer: v, -1.1, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * 8124888\nAnswer: -1137484.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10312 (base 4) to base 15\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 p when three letters picked without replacement from ippzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 7511, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - 38*u + 62. Determine l(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473830241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 294, 331, 368, 405, 442?\n\"Answer: 37*d + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -23, -24, -25, -26?\n\"Answer: -j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120002122 - -110?\nAnswer: 120010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -67*h. Suppose 0 = -y - 2 - 0. Let x be k(y). Suppose 2*o + 69 = t, 4*t - 3*o + x = 385. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 + 17. Let d = 111.633 + v. Round d to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7333066?\nAnswer: 2, 13, 89, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95.55832 litres?\nAnswer: 95558.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1251 bigger than -1150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/2 + -73. Let n = 0.1 - 0.1. Which is the nearest to n? (a) 1 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}